%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN430+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 : n018.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 03:19:37 PM UTC 2026
% Result : CounterSatisfiable 0.18s 0.49s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c1_1(X15)
| c3_1(X15) ) )
| hskp24
| hskp23 )
& ( ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ~ c2_1(X14)
| c3_1(X14) ) )
| hskp22
| hskp14 )
& ( hskp13
| hskp12
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| c0_1(X13)
| ~ c1_1(X13) ) ) )
& ( hskp6
| hskp7
| hskp11 )
& ( ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c0_1(X12)
| ~ c3_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| c1_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| ~ c0_1(X10)
| c2_1(X10) ) ) )
& ( hskp10
| hskp21
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ~ c3_1(X9)
| c0_1(X9) ) ) )
& ( hskp9
| hskp20
| hskp8 )
& ( ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c0_1(X8)
| c2_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c3_1(X5)
| ~ c1_1(X5) ) )
| hskp19
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| ~ c3_1(X4)
| c2_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ) )
& ( hskp18
| hskp17
| hskp7 )
& ( ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| c0_1(Z)
| c3_1(Z) ) )
| hskp16
| hskp6 )
& ( ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| c3_1(Y)
| ~ c1_1(Y) ) )
| hskp5
| ! [X] :
( ndr1_0
=> ( c3_1(X)
| c2_1(X)
| ~ c0_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c0_1(W)
| c3_1(W)
| ~ c2_1(W) ) )
| hskp4
| hskp3 )
& ( hskp2
| ! [V] :
( ndr1_0
=> ( ~ c1_1(V)
| c0_1(V)
| c3_1(V) ) )
| hskp1 )
& ( hskp15
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c2_1(U)
| ~ c1_1(U) ) )
| hskp0 )
& ( ( c3_1(a131)
& c0_1(a131)
& ~ c1_1(a131)
& ndr1_0 )
| ~ hskp24 )
& ( ( c3_1(a130)
& ~ c1_1(a130)
& ~ c2_1(a130)
& ndr1_0 )
| ~ hskp23 )
& ( ( c1_1(a129)
& ~ c3_1(a129)
& ~ c0_1(a129)
& ndr1_0 )
| ~ hskp22 )
& ( ( c2_1(a121)
& c1_1(a121)
& c3_1(a121)
& ndr1_0 )
| ~ hskp21 )
& ( ( c2_1(a119)
& c1_1(a119)
& ~ c0_1(a119)
& ndr1_0 )
| ~ hskp20 )
& ( ( c0_1(a117)
& ~ c1_1(a117)
& ~ c2_1(a117)
& ndr1_0 )
| ~ hskp19 )
& ( ( c0_1(a116)
& ~ c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp18 )
& ( ( c1_1(a115)
& c2_1(a115)
& ~ c0_1(a115)
& ndr1_0 )
| ~ hskp17 )
& ( ( c0_1(a113)
& ~ c1_1(a113)
& ~ c3_1(a113)
& ndr1_0 )
| ~ hskp16 )
& ( ( c3_1(a106)
& ~ c2_1(a106)
& ~ c0_1(a106)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a128)
& ~ c2_1(a128)
& c3_1(a128)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a127)
& ~ c3_1(a127)
& ~ c2_1(a127)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a126)
& c0_1(a126)
& c1_1(a126)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a123)
& ~ c0_1(a123)
& c3_1(a123)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a122)
& ~ c1_1(a122)
& c2_1(a122)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a120)
& ~ c2_1(a120)
& ~ c1_1(a120)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a118)
& ~ c1_1(a118)
& ~ c2_1(a118)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a114)
& c2_1(a114)
& c1_1(a114)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a112)
& ~ c0_1(a112)
& ~ c1_1(a112)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a111)
& c0_1(a111)
& c2_1(a111)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a110)
& ~ c1_1(a110)
& ~ c3_1(a110)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a109)
& c3_1(a109)
& ~ c2_1(a109)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a108)
& ~ c2_1(a108)
& c3_1(a108)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a107)
& ~ c1_1(a107)
& ~ c3_1(a107)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a105)
& ~ c1_1(a105)
& c3_1(a105)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c1_1(X15)
| c3_1(X15) ) )
| hskp24
| hskp23 )
& ( ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ~ c2_1(X14)
| c3_1(X14) ) )
| hskp22
| hskp14 )
& ( hskp13
| hskp12
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| c0_1(X13)
| ~ c1_1(X13) ) ) )
& ( hskp6
| hskp7
| hskp11 )
& ( ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c0_1(X12)
| ~ c3_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| c1_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| ~ c0_1(X10)
| c2_1(X10) ) ) )
& ( hskp10
| hskp21
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ~ c3_1(X9)
| c0_1(X9) ) ) )
& ( hskp9
| hskp20
| hskp8 )
& ( ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c0_1(X8)
| c2_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c3_1(X5)
| ~ c1_1(X5) ) )
| hskp19
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| ~ c3_1(X4)
| c2_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ) )
& ( hskp18
| hskp17
| hskp7 )
& ( ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| c0_1(Z)
| c3_1(Z) ) )
| hskp16
| hskp6 )
& ( ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| c3_1(Y)
| ~ c1_1(Y) ) )
| hskp5
| ! [X] :
( ndr1_0
=> ( c3_1(X)
| c2_1(X)
| ~ c0_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c0_1(W)
| c3_1(W)
| ~ c2_1(W) ) )
| hskp4
| hskp3 )
& ( hskp2
| ! [V] :
( ndr1_0
=> ( ~ c1_1(V)
| c0_1(V)
| c3_1(V) ) )
| hskp1 )
& ( hskp15
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c2_1(U)
| ~ c1_1(U) ) )
| hskp0 )
& ( ( c3_1(a131)
& c0_1(a131)
& ~ c1_1(a131)
& ndr1_0 )
| ~ hskp24 )
& ( ( c3_1(a130)
& ~ c1_1(a130)
& ~ c2_1(a130)
& ndr1_0 )
| ~ hskp23 )
& ( ( c1_1(a129)
& ~ c3_1(a129)
& ~ c0_1(a129)
& ndr1_0 )
| ~ hskp22 )
& ( ( c2_1(a121)
& c1_1(a121)
& c3_1(a121)
& ndr1_0 )
| ~ hskp21 )
& ( ( c2_1(a119)
& c1_1(a119)
& ~ c0_1(a119)
& ndr1_0 )
| ~ hskp20 )
& ( ( c0_1(a117)
& ~ c1_1(a117)
& ~ c2_1(a117)
& ndr1_0 )
| ~ hskp19 )
& ( ( c0_1(a116)
& ~ c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp18 )
& ( ( c1_1(a115)
& c2_1(a115)
& ~ c0_1(a115)
& ndr1_0 )
| ~ hskp17 )
& ( ( c0_1(a113)
& ~ c1_1(a113)
& ~ c3_1(a113)
& ndr1_0 )
| ~ hskp16 )
& ( ( c3_1(a106)
& ~ c2_1(a106)
& ~ c0_1(a106)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a128)
& ~ c2_1(a128)
& c3_1(a128)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a127)
& ~ c3_1(a127)
& ~ c2_1(a127)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a126)
& c0_1(a126)
& c1_1(a126)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a123)
& ~ c0_1(a123)
& c3_1(a123)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a122)
& ~ c1_1(a122)
& c2_1(a122)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a120)
& ~ c2_1(a120)
& ~ c1_1(a120)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a118)
& ~ c1_1(a118)
& ~ c2_1(a118)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a114)
& c2_1(a114)
& c1_1(a114)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a112)
& ~ c0_1(a112)
& ~ c1_1(a112)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a111)
& c0_1(a111)
& c2_1(a111)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a110)
& ~ c1_1(a110)
& ~ c3_1(a110)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a109)
& c3_1(a109)
& ~ c2_1(a109)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a108)
& ~ c2_1(a108)
& c3_1(a108)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a107)
& ~ c1_1(a107)
& ~ c3_1(a107)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a105)
& ~ c1_1(a105)
& c3_1(a105)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ! [X15] :
( c2_1(X15)
| ~ c1_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| hskp24
| hskp23 )
& ( ! [X14] :
( ~ c1_1(X14)
| ~ c2_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| hskp22
| hskp14 )
& ( hskp13
| hskp12
| ! [X13] :
( ~ c2_1(X13)
| c0_1(X13)
| ~ c1_1(X13)
| ~ ndr1_0 ) )
& ( hskp6
| hskp7
| hskp11 )
& ( ! [X12] :
( ~ c1_1(X12)
| c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0 )
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| c1_1(X11)
| ~ ndr1_0 )
| ! [X10] :
( ~ c1_1(X10)
| ~ c0_1(X10)
| c2_1(X10)
| ~ ndr1_0 ) )
& ( hskp10
| hskp21
| ! [X9] :
( c1_1(X9)
| ~ c3_1(X9)
| c0_1(X9)
| ~ ndr1_0 ) )
& ( hskp9
| hskp20
| hskp8 )
& ( ! [X8] :
( ~ c3_1(X8)
| c0_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X7] :
( ~ c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| ! [X6] :
( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6)
| ~ ndr1_0 ) )
& ( ! [X5] :
( c2_1(X5)
| c3_1(X5)
| ~ c1_1(X5)
| ~ ndr1_0 )
| hskp19
| ! [X4] :
( c0_1(X4)
| ~ c3_1(X4)
| c2_1(X4)
| ~ ndr1_0 ) )
& ( ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0 )
| ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 )
| ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0 ) )
& ( hskp18
| hskp17
| hskp7 )
& ( ! [Z] :
( c1_1(Z)
| c0_1(Z)
| c3_1(Z)
| ~ ndr1_0 )
| hskp16
| hskp6 )
& ( ! [Y] :
( ~ c2_1(Y)
| c3_1(Y)
| ~ c1_1(Y)
| ~ ndr1_0 )
| hskp5
| ! [X] :
( c3_1(X)
| c2_1(X)
| ~ c0_1(X)
| ~ ndr1_0 ) )
& ( ! [W] :
( ~ c0_1(W)
| c3_1(W)
| ~ c2_1(W)
| ~ ndr1_0 )
| hskp4
| hskp3 )
& ( hskp2
| ! [V] :
( ~ c1_1(V)
| c0_1(V)
| c3_1(V)
| ~ ndr1_0 )
| hskp1 )
& ( hskp15
| ! [U] :
( c3_1(U)
| ~ c2_1(U)
| ~ c1_1(U)
| ~ ndr1_0 )
| hskp0 )
& ( ( c3_1(a131)
& c0_1(a131)
& ~ c1_1(a131)
& ndr1_0 )
| ~ hskp24 )
& ( ( c3_1(a130)
& ~ c1_1(a130)
& ~ c2_1(a130)
& ndr1_0 )
| ~ hskp23 )
& ( ( c1_1(a129)
& ~ c3_1(a129)
& ~ c0_1(a129)
& ndr1_0 )
| ~ hskp22 )
& ( ( c2_1(a121)
& c1_1(a121)
& c3_1(a121)
& ndr1_0 )
| ~ hskp21 )
& ( ( c2_1(a119)
& c1_1(a119)
& ~ c0_1(a119)
& ndr1_0 )
| ~ hskp20 )
& ( ( c0_1(a117)
& ~ c1_1(a117)
& ~ c2_1(a117)
& ndr1_0 )
| ~ hskp19 )
& ( ( c0_1(a116)
& ~ c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp18 )
& ( ( c1_1(a115)
& c2_1(a115)
& ~ c0_1(a115)
& ndr1_0 )
| ~ hskp17 )
& ( ( c0_1(a113)
& ~ c1_1(a113)
& ~ c3_1(a113)
& ndr1_0 )
| ~ hskp16 )
& ( ( c3_1(a106)
& ~ c2_1(a106)
& ~ c0_1(a106)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a128)
& ~ c2_1(a128)
& c3_1(a128)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a127)
& ~ c3_1(a127)
& ~ c2_1(a127)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a126)
& c0_1(a126)
& c1_1(a126)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a123)
& ~ c0_1(a123)
& c3_1(a123)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a122)
& ~ c1_1(a122)
& c2_1(a122)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a120)
& ~ c2_1(a120)
& ~ c1_1(a120)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a118)
& ~ c1_1(a118)
& ~ c2_1(a118)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a114)
& c2_1(a114)
& c1_1(a114)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a112)
& ~ c0_1(a112)
& ~ c1_1(a112)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a111)
& c0_1(a111)
& c2_1(a111)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a110)
& ~ c1_1(a110)
& ~ c3_1(a110)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a109)
& c3_1(a109)
& ~ c2_1(a109)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a108)
& ~ c2_1(a108)
& c3_1(a108)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a107)
& ~ c1_1(a107)
& ~ c3_1(a107)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a105)
& ~ c1_1(a105)
& c3_1(a105)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ! [X15] :
( c2_1(X15)
| ~ c1_1(X15)
| c3_1(X15) )
| ~ ndr1_0
| hskp24
| hskp23 )
& ( ! [X14] :
( ~ c1_1(X14)
| ~ c2_1(X14)
| c3_1(X14) )
| ~ ndr1_0
| hskp22
| hskp14 )
& ( hskp13
| hskp12
| ! [X13] :
( ~ c2_1(X13)
| c0_1(X13)
| ~ c1_1(X13) )
| ~ ndr1_0 )
& ( hskp6
| hskp7
| hskp11 )
& ( ! [X12] :
( ~ c1_1(X12)
| c0_1(X12)
| ~ c3_1(X12) )
| ~ ndr1_0
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| c1_1(X11) )
| ~ ndr1_0
| ! [X10] :
( ~ c1_1(X10)
| ~ c0_1(X10)
| c2_1(X10) )
| ~ ndr1_0 )
& ( hskp10
| hskp21
| ! [X9] :
( c1_1(X9)
| ~ c3_1(X9)
| c0_1(X9) )
| ~ ndr1_0 )
& ( hskp9
| hskp20
| hskp8 )
& ( ! [X8] :
( ~ c3_1(X8)
| c0_1(X8)
| c2_1(X8) )
| ~ ndr1_0
| ! [X7] :
( ~ c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) )
| ~ ndr1_0
| ! [X6] :
( ~ c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) )
| ~ ndr1_0 )
& ( ! [X5] :
( c2_1(X5)
| c3_1(X5)
| ~ c1_1(X5) )
| ~ ndr1_0
| hskp19
| ! [X4] :
( c0_1(X4)
| ~ c3_1(X4)
| c2_1(X4) )
| ~ ndr1_0 )
& ( ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3) )
| ~ ndr1_0
| ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) )
| ~ ndr1_0
| ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) )
| ~ ndr1_0 )
& ( hskp18
| hskp17
| hskp7 )
& ( ! [Z] :
( c1_1(Z)
| c0_1(Z)
| c3_1(Z) )
| ~ ndr1_0
| hskp16
| hskp6 )
& ( ! [Y] :
( ~ c2_1(Y)
| c3_1(Y)
| ~ c1_1(Y) )
| ~ ndr1_0
| hskp5
| ! [X] :
( c3_1(X)
| c2_1(X)
| ~ c0_1(X) )
| ~ ndr1_0 )
& ( ! [W] :
( ~ c0_1(W)
| c3_1(W)
| ~ c2_1(W) )
| ~ ndr1_0
| hskp4
| hskp3 )
& ( hskp2
| ! [V] :
( ~ c1_1(V)
| c0_1(V)
| c3_1(V) )
| ~ ndr1_0
| hskp1 )
& ( hskp15
| ! [U] :
( c3_1(U)
| ~ c2_1(U)
| ~ c1_1(U) )
| ~ ndr1_0
| hskp0 )
& ( ( c3_1(a131)
& c0_1(a131)
& ~ c1_1(a131)
& ndr1_0 )
| ~ hskp24 )
& ( ( c3_1(a130)
& ~ c1_1(a130)
& ~ c2_1(a130)
& ndr1_0 )
| ~ hskp23 )
& ( ( c1_1(a129)
& ~ c3_1(a129)
& ~ c0_1(a129)
& ndr1_0 )
| ~ hskp22 )
& ( ( c2_1(a121)
& c1_1(a121)
& c3_1(a121)
& ndr1_0 )
| ~ hskp21 )
& ( ( c2_1(a119)
& c1_1(a119)
& ~ c0_1(a119)
& ndr1_0 )
| ~ hskp20 )
& ( ( c0_1(a117)
& ~ c1_1(a117)
& ~ c2_1(a117)
& ndr1_0 )
| ~ hskp19 )
& ( ( c0_1(a116)
& ~ c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp18 )
& ( ( c1_1(a115)
& c2_1(a115)
& ~ c0_1(a115)
& ndr1_0 )
| ~ hskp17 )
& ( ( c0_1(a113)
& ~ c1_1(a113)
& ~ c3_1(a113)
& ndr1_0 )
| ~ hskp16 )
& ( ( c3_1(a106)
& ~ c2_1(a106)
& ~ c0_1(a106)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a128)
& ~ c2_1(a128)
& c3_1(a128)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a127)
& ~ c3_1(a127)
& ~ c2_1(a127)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a126)
& c0_1(a126)
& c1_1(a126)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a123)
& ~ c0_1(a123)
& c3_1(a123)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a122)
& ~ c1_1(a122)
& c2_1(a122)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a120)
& ~ c2_1(a120)
& ~ c1_1(a120)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a118)
& ~ c1_1(a118)
& ~ c2_1(a118)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a114)
& c2_1(a114)
& c1_1(a114)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a112)
& ~ c0_1(a112)
& ~ c1_1(a112)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a111)
& c0_1(a111)
& c2_1(a111)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a110)
& ~ c1_1(a110)
& ~ c3_1(a110)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a109)
& c3_1(a109)
& ~ c2_1(a109)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a108)
& ~ c2_1(a108)
& c3_1(a108)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a107)
& ~ c1_1(a107)
& ~ c3_1(a107)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a105)
& ~ c1_1(a105)
& c3_1(a105)
& ndr1_0 )
| ~ hskp0 ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
( c3_1(a105)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( ~ c1_1(a105)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c2_1(a105)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ c3_1(a107)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( ~ c1_1(a107)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c0_1(a107)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( c3_1(a108)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( ~ c2_1(a108)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c1_1(a108)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( ~ c2_1(a109)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( c3_1(a109)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( ~ c1_1(a109)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( ~ c3_1(a110)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( ~ c1_1(a110)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ~ c2_1(a110)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( c2_1(a111)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( c0_1(a111)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( ~ c1_1(a111)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( ~ c1_1(a112)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( ~ c0_1(a112)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( ~ c2_1(a112)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( c1_1(a114)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c2_1(a114)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( ~ c0_1(a114)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( ~ c2_1(a118)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( ~ c1_1(a118)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( ~ c0_1(a118)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( ~ c1_1(a120)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( ~ c2_1(a120)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( ~ c0_1(a120)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
( c2_1(a122)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
( ~ c1_1(a122)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( ~ c3_1(a122)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
( c3_1(a123)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
( ~ c0_1(a123)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
( ~ c1_1(a123)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
( c1_1(a126)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
( c0_1(a126)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( ~ c3_1(a126)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
( ~ c2_1(a127)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( ~ c3_1(a127)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( ~ c1_1(a127)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
( c3_1(a128)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
( ~ c2_1(a128)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
( ~ c0_1(a128)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
( ~ c0_1(a106)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
( ~ c2_1(a106)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
( c3_1(a106)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( ndr1_0
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
( ~ c3_1(a113)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
( ~ c1_1(a113)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
( c0_1(a113)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
( ndr1_0
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
( ~ c0_1(a115)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
( c2_1(a115)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
( c1_1(a115)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
( ndr1_0
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
( c1_1(a116)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f79,plain,
( ~ c3_1(a116)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f80,plain,
( c0_1(a116)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f81,plain,
( ndr1_0
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f82,plain,
( ~ c2_1(a117)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f83,plain,
( ~ c1_1(a117)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f84,plain,
( c0_1(a117)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( ndr1_0
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( ~ c0_1(a119)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( c1_1(a119)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( c2_1(a119)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( ndr1_0
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( c3_1(a121)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( c1_1(a121)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( c2_1(a121)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( ndr1_0
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( ~ c0_1(a129)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( ~ c3_1(a129)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( c1_1(a129)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( ndr1_0
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( ~ c2_1(a130)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( ~ c1_1(a130)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( c3_1(a130)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( ~ c1_1(a131)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( c0_1(a131)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( c3_1(a131)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
! [X0] :
( hskp15
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
! [X0] :
( hskp2
| ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp4
| hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
! [X0,X1] :
( ~ c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp5
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
! [X0] :
( c1_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp16
| hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( hskp18
| hskp17
| hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| ~ c2_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(f112,plain,
! [X0,X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp19
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ c3_1(X2)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( hskp9
| hskp20
| hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
! [X0] :
( hskp10
| hskp21
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
( hskp6
| hskp7
| hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
! [X0] :
( hskp13
| hskp12
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp22
| hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp24
| hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( sQ0_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f121,f124]) ).
fof(f128,definition,
( sQ2_spl
<=> c3_1(a105) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ2_spl
| c3_1(a105) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f121,f128]) ).
fof(f132,definition,
( sQ3_spl
<=> c1_1(a105) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ3_spl
| ~ c1_1(a105) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f121,f132]) ).
fof(f136,definition,
( sQ4_spl
<=> c2_1(a105) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ4_spl
| ~ c2_1(a105) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f121,f136]) ).
fof(f140,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ5_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f140,f124]) ).
fof(f144,definition,
( sQ6_spl
<=> c3_1(a107) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ6_spl
| ~ c3_1(a107) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f140,f144]) ).
fof(f148,definition,
( sQ7_spl
<=> c1_1(a107) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ7_spl
| ~ c1_1(a107) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f140,f148]) ).
fof(f152,definition,
( sQ8_spl
<=> c0_1(a107) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ8_spl
| ~ c0_1(a107) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f140,f152]) ).
fof(f156,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ9_spl
| hskp2 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f156,f124]) ).
fof(f160,definition,
( sQ10_spl
<=> c3_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ10_spl
| c3_1(a108) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f156,f160]) ).
fof(f164,definition,
( sQ11_spl
<=> c2_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ11_spl
| ~ c2_1(a108) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f156,f164]) ).
fof(f168,definition,
( sQ12_spl
<=> c1_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ12_spl
| ~ c1_1(a108) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f156,f168]) ).
fof(f172,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ13_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f172,f124]) ).
fof(f176,definition,
( sQ14_spl
<=> c2_1(a109) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ14_spl
| ~ c2_1(a109) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f172,f176]) ).
fof(f180,definition,
( sQ15_spl
<=> c3_1(a109) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ15_spl
| c3_1(a109) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f172,f180]) ).
fof(f184,definition,
( sQ16_spl
<=> c1_1(a109) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ16_spl
| ~ c1_1(a109) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f172,f184]) ).
fof(f188,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ17_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f188,f124]) ).
fof(f192,definition,
( sQ18_spl
<=> c3_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( sQ18_spl
| ~ c3_1(a110) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f188,f192]) ).
fof(f196,definition,
( sQ19_spl
<=> c1_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ19_spl
| ~ c1_1(a110) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f188,f196]) ).
fof(f200,definition,
( sQ20_spl
<=> c2_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ20_spl
| ~ c2_1(a110) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f188,f200]) ).
fof(f204,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ21_spl
| ~ hskp5 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f204,f124]) ).
fof(f208,definition,
( sQ22_spl
<=> c2_1(a111) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ22_spl
| c2_1(a111) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f204,f208]) ).
fof(f212,definition,
( sQ23_spl
<=> c0_1(a111) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ23_spl
| c0_1(a111) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f204,f212]) ).
fof(f216,definition,
( sQ24_spl
<=> c1_1(a111) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( sQ24_spl
| ~ c1_1(a111) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f204,f216]) ).
fof(f220,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ25_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f220,f124]) ).
fof(f224,definition,
( sQ26_spl
<=> c1_1(a112) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( sQ26_spl
| ~ c1_1(a112) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f220,f224]) ).
fof(f228,definition,
( sQ27_spl
<=> c0_1(a112) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( sQ27_spl
| ~ c0_1(a112) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( ~ sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f220,f228]) ).
fof(f232,definition,
( sQ28_spl
<=> c2_1(a112) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ28_spl
| ~ c2_1(a112) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f220,f232]) ).
fof(f236,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ29_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f236,f124]) ).
fof(f240,definition,
( sQ30_spl
<=> c1_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ30_spl
| c1_1(a114) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f236,f240]) ).
fof(f244,definition,
( sQ31_spl
<=> c2_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ31_spl
| c2_1(a114) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f236,f244]) ).
fof(f248,definition,
( sQ32_spl
<=> c0_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ32_spl
| ~ c0_1(a114) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f236,f248]) ).
fof(f252,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ33_spl
| hskp8 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f252,f124]) ).
fof(f256,definition,
( sQ34_spl
<=> c2_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( sQ34_spl
| ~ c2_1(a118) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f252,f256]) ).
fof(f260,definition,
( sQ35_spl
<=> c1_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ35_spl
| ~ c1_1(a118) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f252,f260]) ).
fof(f264,definition,
( sQ36_spl
<=> c0_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ36_spl
| ~ c0_1(a118) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f252,f264]) ).
fof(f268,definition,
( sQ37_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ37_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f41,f268,f124]) ).
fof(f272,definition,
( sQ38_spl
<=> c1_1(a120) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ38_spl
| ~ c1_1(a120) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f42,f268,f272]) ).
fof(f276,definition,
( sQ39_spl
<=> c2_1(a120) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ39_spl
| ~ c2_1(a120) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f43,f268,f276]) ).
fof(f280,definition,
( sQ40_spl
<=> c0_1(a120) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ40_spl
| ~ c0_1(a120) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ40_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f44,f268,f280]) ).
fof(f284,definition,
( sQ41_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ41_spl
| hskp10 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ41_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f45,f284,f124]) ).
fof(f288,definition,
( sQ42_spl
<=> c2_1(a122) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ42_spl
| c2_1(a122) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f46,f284,f288]) ).
fof(f292,definition,
( sQ43_spl
<=> c1_1(a122) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ43_spl
| ~ c1_1(a122) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f47,f284,f292]) ).
fof(f296,definition,
( sQ44_spl
<=> c3_1(a122) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ44_spl
| ~ c3_1(a122) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ44_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f48,f284,f296]) ).
fof(f300,definition,
( sQ45_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ45_spl
| hskp11 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ1_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f49,f300,f124]) ).
fof(f304,definition,
( sQ46_spl
<=> c3_1(a123) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ46_spl
| c3_1(a123) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f50,f300,f304]) ).
fof(f308,definition,
( sQ47_spl
<=> c0_1(a123) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ47_spl
| ~ c0_1(a123) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f51,f300,f308]) ).
fof(f312,definition,
( sQ48_spl
<=> c1_1(a123) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ48_spl
| ~ c1_1(a123) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ48_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f52,f300,f312]) ).
fof(f316,definition,
( sQ49_spl
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ49_spl
| hskp12 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f53,f316,f124]) ).
fof(f320,definition,
( sQ50_spl
<=> c1_1(a126) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ50_spl
| c1_1(a126) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ50_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f54,f316,f320]) ).
fof(f324,definition,
( sQ51_spl
<=> c0_1(a126) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ51_spl
| c0_1(a126) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ51_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f55,f316,f324]) ).
fof(f328,definition,
( sQ52_spl
<=> c3_1(a126) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ52_spl
| ~ c3_1(a126) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f56,f316,f328]) ).
fof(f332,definition,
( sQ53_spl
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ53_spl
| ~ hskp13 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f57,f332,f124]) ).
fof(f336,definition,
( sQ54_spl
<=> c2_1(a127) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ54_spl
| ~ c2_1(a127) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f58,f332,f336]) ).
fof(f340,definition,
( sQ55_spl
<=> c3_1(a127) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ55_spl
| ~ c3_1(a127) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f59,f332,f340]) ).
fof(f344,definition,
( sQ56_spl
<=> c1_1(a127) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( sQ56_spl
| ~ c1_1(a127) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ sQ56_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f60,f332,f344]) ).
fof(f348,definition,
( sQ57_spl
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ57_spl
| hskp14 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ57_spl
| ~ hskp14 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ1_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f61,f348,f124]) ).
fof(f352,definition,
( sQ58_spl
<=> c3_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ58_spl
| c3_1(a128) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f62,f348,f352]) ).
fof(f356,definition,
( sQ59_spl
<=> c2_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ59_spl
| ~ c2_1(a128) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f63,f348,f356]) ).
fof(f360,definition,
( sQ60_spl
<=> c0_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( sQ60_spl
| ~ c0_1(a128) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( ~ sQ60_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f64,f348,f360]) ).
fof(f364,definition,
( sQ61_spl
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ61_spl
| hskp15 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ61_spl
| ~ hskp15 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( sQ1_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f65,f364,f124]) ).
fof(f368,definition,
( sQ62_spl
<=> c0_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ62_spl
| ~ c0_1(a106) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f66,f364,f368]) ).
fof(f372,definition,
( sQ63_spl
<=> c2_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( sQ63_spl
| ~ c2_1(a106) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f67,f364,f372]) ).
fof(f376,definition,
( sQ64_spl
<=> c3_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ64_spl
| c3_1(a106) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ64_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f68,f364,f376]) ).
fof(f380,definition,
( sQ65_spl
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ65_spl
| hskp16 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ1_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f69,f380,f124]) ).
fof(f384,definition,
( sQ66_spl
<=> c3_1(a113) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ66_spl
| ~ c3_1(a113) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f70,f380,f384]) ).
fof(f388,definition,
( sQ67_spl
<=> c1_1(a113) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ67_spl
| ~ c1_1(a113) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( ~ sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f71,f380,f388]) ).
fof(f392,definition,
( sQ68_spl
<=> c0_1(a113) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ68_spl
| c0_1(a113) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ68_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f72,f380,f392]) ).
fof(f396,definition,
( sQ69_spl
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ69_spl
| hskp17 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ1_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f73,f396,f124]) ).
fof(f400,definition,
( sQ70_spl
<=> c0_1(a115) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ70_spl
| ~ c0_1(a115) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f74,f396,f400]) ).
fof(f404,definition,
( sQ71_spl
<=> c2_1(a115) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ71_spl
| c2_1(a115) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ71_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f75,f396,f404]) ).
fof(f408,definition,
( sQ72_spl
<=> c1_1(a115) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ72_spl
| c1_1(a115) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ72_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f76,f396,f408]) ).
fof(f412,definition,
( sQ73_spl
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ73_spl
| ~ hskp18 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ1_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f77,f412,f124]) ).
fof(f416,definition,
( sQ74_spl
<=> c1_1(a116) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ74_spl
| c1_1(a116) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f78,f412,f416]) ).
fof(f420,definition,
( sQ75_spl
<=> c3_1(a116) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ75_spl
| ~ c3_1(a116) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( ~ sQ75_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f79,f412,f420]) ).
fof(f424,definition,
( sQ76_spl
<=> c0_1(a116) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ76_spl
| c0_1(a116) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ76_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f80,f412,f424]) ).
fof(f428,definition,
( sQ77_spl
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ77_spl
| hskp19 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( sQ77_spl
| ~ hskp19 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ1_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f81,f428,f124]) ).
fof(f432,definition,
( sQ78_spl
<=> c2_1(a117) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ78_spl
| ~ c2_1(a117) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( ~ sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f82,f428,f432]) ).
fof(f436,definition,
( sQ79_spl
<=> c1_1(a117) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ79_spl
| ~ c1_1(a117) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( ~ sQ79_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f83,f428,f436]) ).
fof(f440,definition,
( sQ80_spl
<=> c0_1(a117) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ80_spl
| c0_1(a117) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ80_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f84,f428,f440]) ).
fof(f444,definition,
( sQ81_spl
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ81_spl
| ~ hskp20 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( sQ1_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f85,f444,f124]) ).
fof(f448,definition,
( sQ82_spl
<=> c0_1(a119) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ82_spl
| ~ c0_1(a119) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f86,f444,f448]) ).
fof(f452,definition,
( sQ83_spl
<=> c1_1(a119) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ83_spl
| c1_1(a119) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ83_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f87,f444,f452]) ).
fof(f456,definition,
( sQ84_spl
<=> c2_1(a119) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ84_spl
| c2_1(a119) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ84_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f88,f444,f456]) ).
fof(f460,definition,
( sQ85_spl
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ85_spl
| hskp21 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ85_spl
| ~ hskp21 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ1_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f89,f460,f124]) ).
fof(f464,definition,
( sQ86_spl
<=> c3_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ86_spl
| c3_1(a121) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f90,f460,f464]) ).
fof(f468,definition,
( sQ87_spl
<=> c1_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ87_spl
| c1_1(a121) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ87_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f91,f460,f468]) ).
fof(f472,definition,
( sQ88_spl
<=> c2_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ88_spl
| c2_1(a121) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ88_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f92,f460,f472]) ).
fof(f476,definition,
( sQ89_spl
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ89_spl
| ~ hskp22 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ1_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f93,f476,f124]) ).
fof(f480,definition,
( sQ90_spl
<=> c0_1(a129) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ90_spl
| ~ c0_1(a129) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f94,f476,f480]) ).
fof(f484,definition,
( sQ91_spl
<=> c3_1(a129) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ91_spl
| ~ c3_1(a129) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( ~ sQ91_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f95,f476,f484]) ).
fof(f488,definition,
( sQ92_spl
<=> c1_1(a129) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ92_spl
| c1_1(a129) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f96,f476,f488]) ).
fof(f492,definition,
( sQ93_spl
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ93_spl
| hskp23 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ93_spl
| ~ hskp23 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f97,f492,f124]) ).
fof(f496,definition,
( sQ94_spl
<=> c2_1(a130) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ94_spl
| ~ c2_1(a130) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f98,f492,f496]) ).
fof(f500,definition,
( sQ95_spl
<=> c1_1(a130) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ95_spl
| ~ c1_1(a130) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ95_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f99,f492,f500]) ).
fof(f504,definition,
( sQ96_spl
<=> c3_1(a130) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ96_spl
| c3_1(a130) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ96_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f100,f492,f504]) ).
fof(f508,definition,
( sQ97_spl
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ97_spl
| ~ hskp24 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ1_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f101,f508,f124]) ).
fof(f512,definition,
( sQ98_spl
<=> c1_1(a131) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ98_spl
| ~ c1_1(a131) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f508,f512]) ).
fof(f516,definition,
( sQ99_spl
<=> c0_1(a131) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ99_spl
| c0_1(a131) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ99_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f103,f508,f516]) ).
fof(f520,definition,
( sQ100_spl
<=> c3_1(a131) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ100_spl
| c3_1(a131) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( sQ100_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f104,f508,f520]) ).
fof(f524,definition,
! [X0] :
( sQ101_spl
<=> ( c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f525,plain,
! [X0] :
( ~ sQ101_spl
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ61_spl
| sQ101_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f121,f124,f524,f364]) ).
fof(f528,definition,
! [X0] :
( sQ102_spl
<=> ( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f529,plain,
! [X0] :
( ~ sQ102_spl
| ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( sQ9_spl
| sQ102_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f106,f140,f124,f528,f156]) ).
fof(f532,definition,
! [X0] :
( sQ103_spl
<=> ( ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f533,plain,
! [X0] :
( ~ sQ103_spl
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ103_spl
| ~ sQ1_spl
| sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f107,f172,f188,f124,f532]) ).
fof(f536,definition,
! [X0] :
( sQ104_spl
<=> ( c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f537,plain,
! [X0] :
( ~ sQ104_spl
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( sQ101_spl
| sQ21_spl
| sQ104_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f108,f124,f536,f204,f524]) ).
fof(f540,definition,
! [X0] :
( sQ105_spl
<=> ( c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f541,plain,
! [X0] :
( ~ sQ105_spl
| c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( sQ105_spl
| ~ sQ1_spl
| sQ65_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f109,f220,f380,f124,f540]) ).
fof(f544,plain,
( sQ73_spl
| sQ69_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f110,f236,f396,f412]) ).
fof(f545,definition,
! [X0] :
( sQ106_spl
<=> ( ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f546,plain,
! [X0] :
( ~ sQ106_spl
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
! [X1] :
( sQ107_spl
<=> ( c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f549,plain,
! [X0] :
( ~ sQ107_spl
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
! [X2] :
( sQ108_spl
<=> ( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f552,plain,
! [X0] :
( ~ sQ108_spl
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( sQ108_spl
| sQ107_spl
| sQ106_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f111,f124,f545,f548,f551]) ).
fof(f555,definition,
! [X0] :
( sQ109_spl
<=> ( c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f556,plain,
! [X0] :
( ~ sQ109_spl
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
! [X1] :
( sQ110_spl
<=> ( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f559,plain,
! [X0] :
( ~ sQ110_spl
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ110_spl
| sQ77_spl
| sQ109_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f112,f124,f555,f428,f558]) ).
fof(f562,definition,
! [X0] :
( sQ111_spl
<=> ( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f563,plain,
! [X0] :
( ~ sQ111_spl
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( sQ109_spl
| sQ111_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f113,f124,f562,f555]) ).
fof(f566,plain,
( sQ37_spl
| sQ81_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f114,f252,f444,f268]) ).
fof(f567,definition,
! [X0] :
( sQ112_spl
<=> ( c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f568,plain,
! [X0] :
( ~ sQ112_spl
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ41_spl
| sQ85_spl
| sQ112_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f115,f124,f567,f460,f284]) ).
fof(f571,definition,
! [X0] :
( sQ113_spl
<=> ( ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f572,plain,
! [X0] :
( ~ sQ113_spl
| ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
! [X1] :
( sQ114_spl
<=> ( c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f575,plain,
! [X0] :
( ~ sQ114_spl
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
! [X2] :
( sQ115_spl
<=> ( ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f578,plain,
! [X0] :
( ~ sQ115_spl
| ~ c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f116,f124,f571,f574,f577]) ).
fof(f581,plain,
( sQ25_spl
| sQ29_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f117,f300,f236,f220]) ).
fof(f582,definition,
! [X0] :
( sQ116_spl
<=> ( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f583,plain,
! [X0] :
( ~ sQ116_spl
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( sQ53_spl
| sQ49_spl
| sQ116_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f118,f124,f582,f316,f332]) ).
fof(f586,plain,
( sQ101_spl
| ~ sQ1_spl
| sQ89_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f119,f348,f476,f124,f524]) ).
fof(f587,plain,
( sQ110_spl
| ~ sQ1_spl
| sQ97_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f120,f492,f508,f124,f558]) ).
fof(f588,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ101_spl
| c3_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f525]) ).
fof(f589,plain,
( ~ sQ46_spl
| ~ sQ109_spl
| c0_1(a123)
| c2_1(a123) ),
inference(resolution,[status(thm)],[f556,f305]) ).
fof(f590,plain,
( ~ sQ10_spl
| ~ sQ109_spl
| c0_1(a108)
| c2_1(a108) ),
inference(resolution,[status(thm)],[f556,f161]) ).
fof(f591,definition,
( sQ117_spl
<=> c2_1(a123) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ117_spl
| c2_1(a123) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( ~ sQ46_spl
| ~ sQ109_spl
| sQ47_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f589,f591,f308,f555,f304]) ).
fof(f595,definition,
( sQ118_spl
<=> c0_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ118_spl
| c0_1(a108) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ sQ10_spl
| ~ sQ109_spl
| sQ118_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f590,f164,f595,f555,f160]) ).
fof(f599,plain,
( sQ47_spl
| ~ sQ114_spl
| c2_1(a123)
| c1_1(a123) ),
inference(resolution,[status(thm)],[f575,f310]) ).
fof(f600,plain,
( sQ47_spl
| ~ sQ114_spl
| sQ117_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f599,f312,f591,f574,f308]) ).
fof(f601,plain,
( ~ sQ46_spl
| ~ sQ112_spl
| c1_1(a123)
| c0_1(a123) ),
inference(resolution,[status(thm)],[f568,f305]) ).
fof(f602,plain,
( ~ sQ10_spl
| ~ sQ112_spl
| c1_1(a108)
| c0_1(a108) ),
inference(resolution,[status(thm)],[f568,f161]) ).
fof(f603,plain,
( ~ sQ46_spl
| ~ sQ112_spl
| sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f601,f308,f312,f567,f304]) ).
fof(f604,plain,
( ~ sQ10_spl
| ~ sQ112_spl
| sQ12_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f602,f595,f168,f567,f160]) ).
fof(f605,plain,
( ~ sQ110_spl
| ~ sQ101_spl
| ~ sQ72_spl
| c3_1(a115) ),
inference(resolution,[status(thm)],[f409,f588]) ).
fof(f606,plain,
( ~ sQ110_spl
| ~ sQ101_spl
| ~ sQ50_spl
| c3_1(a126) ),
inference(resolution,[status(thm)],[f321,f588]) ).
fof(f607,plain,
( ~ sQ42_spl
| ~ sQ116_spl
| c0_1(a122)
| ~ c1_1(a122) ),
inference(resolution,[status(thm)],[f583,f289]) ).
fof(f608,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| c0_1(a115)
| ~ c1_1(a115) ),
inference(resolution,[status(thm)],[f583,f405]) ).
fof(f609,definition,
( sQ119_spl
<=> c0_1(a122) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ119_spl
| c0_1(a122) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( ~ sQ42_spl
| ~ sQ116_spl
| sQ119_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f607,f292,f609,f582,f288]) ).
fof(f613,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| sQ70_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f608,f408,f400,f582,f404]) ).
fof(f614,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ110_spl
| ~ sQ101_spl
| ~ c1_1(X0)
| c0_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f588]) ).
fof(f615,plain,
( ~ sQ50_spl
| ~ sQ115_spl
| ~ sQ110_spl
| ~ sQ101_spl
| c0_1(a126) ),
inference(resolution,[status(thm)],[f614,f321]) ).
fof(f616,plain,
( ~ sQ72_spl
| ~ sQ115_spl
| ~ sQ110_spl
| ~ sQ101_spl
| c0_1(a115) ),
inference(resolution,[status(thm)],[f614,f409]) ).
fof(f617,plain,
( ~ sQ72_spl
| ~ sQ115_spl
| ~ sQ110_spl
| ~ sQ101_spl
| sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f402]) ).
fof(f618,plain,
( ~ sQ72_spl
| ~ sQ115_spl
| ~ sQ110_spl
| ~ sQ101_spl
| sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( ~ sQ51_spl
| ~ sQ113_spl
| ~ c1_1(a126)
| c2_1(a126) ),
inference(resolution,[status(thm)],[f572,f325]) ).
fof(f620,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| ~ c1_1(a113)
| c2_1(a113) ),
inference(resolution,[status(thm)],[f572,f393]) ).
fof(f621,definition,
( sQ120_spl
<=> c2_1(a126) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ120_spl
| c2_1(a126) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ51_spl
| ~ sQ113_spl
| ~ sQ50_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f619,f621,f320,f571,f324]) ).
fof(f625,definition,
( sQ121_spl
<=> c2_1(a113) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ121_spl
| c2_1(a113) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ67_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f620,f625,f388,f571,f392]) ).
fof(f629,plain,
( ~ sQ71_spl
| ~ sQ107_spl
| c0_1(a115)
| c1_1(a115) ),
inference(resolution,[status(thm)],[f549,f405]) ).
fof(f630,plain,
( ~ sQ71_spl
| ~ sQ107_spl
| sQ70_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f629,f408,f400,f548,f404]) ).
fof(f631,plain,
( ~ sQ50_spl
| ~ sQ106_spl
| c2_1(a126)
| c0_1(a126) ),
inference(resolution,[status(thm)],[f546,f321]) ).
fof(f632,plain,
( ~ sQ72_spl
| ~ sQ106_spl
| c2_1(a115)
| c0_1(a115) ),
inference(resolution,[status(thm)],[f546,f409]) ).
fof(f633,plain,
( ~ sQ50_spl
| ~ sQ106_spl
| sQ120_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f631,f324,f621,f545,f320]) ).
fof(f634,plain,
( ~ sQ72_spl
| ~ sQ106_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f632,f400,f404,f545,f408]) ).
fof(f635,plain,
( sQ36_spl
| ~ sQ105_spl
| c1_1(a118)
| c3_1(a118) ),
inference(resolution,[status(thm)],[f541,f266]) ).
fof(f636,plain,
( sQ70_spl
| ~ sQ105_spl
| c1_1(a115)
| c3_1(a115) ),
inference(resolution,[status(thm)],[f541,f402]) ).
fof(f637,plain,
( sQ47_spl
| ~ sQ105_spl
| c1_1(a123)
| c3_1(a123) ),
inference(resolution,[status(thm)],[f541,f310]) ).
fof(f638,definition,
( sQ122_spl
<=> c3_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ122_spl
| c3_1(a118) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( sQ36_spl
| ~ sQ105_spl
| sQ35_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f635,f638,f260,f540,f264]) ).
fof(f642,definition,
( sQ123_spl
<=> c3_1(a115) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ123_spl
| c3_1(a115) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ70_spl
| ~ sQ105_spl
| sQ72_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f636,f642,f408,f540,f400]) ).
fof(f646,plain,
( sQ47_spl
| ~ sQ105_spl
| sQ48_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f637,f304,f312,f540,f308]) ).
fof(f647,plain,
( ~ sQ51_spl
| ~ sQ104_spl
| c3_1(a126)
| c2_1(a126) ),
inference(resolution,[status(thm)],[f537,f325]) ).
fof(f648,plain,
( ~ sQ68_spl
| ~ sQ104_spl
| c3_1(a113)
| c2_1(a113) ),
inference(resolution,[status(thm)],[f537,f393]) ).
fof(f649,plain,
( ~ sQ51_spl
| ~ sQ104_spl
| sQ52_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f647,f621,f328,f536,f324]) ).
fof(f650,plain,
( ~ sQ68_spl
| ~ sQ104_spl
| sQ66_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f648,f625,f384,f536,f392]) ).
fof(f651,plain,
( ~ sQ50_spl
| ~ sQ102_spl
| c0_1(a126)
| c3_1(a126) ),
inference(resolution,[status(thm)],[f529,f321]) ).
fof(f652,plain,
( ~ sQ72_spl
| ~ sQ102_spl
| c0_1(a115)
| c3_1(a115) ),
inference(resolution,[status(thm)],[f529,f409]) ).
fof(f653,plain,
( ~ sQ50_spl
| ~ sQ102_spl
| sQ51_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f651,f328,f324,f528,f320]) ).
fof(f654,plain,
( ~ sQ72_spl
| ~ sQ102_spl
| sQ70_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f652,f642,f400,f528,f408]) ).
fof(f655,plain,
( sQ36_spl
| ~ sQ114_spl
| c2_1(a118)
| c1_1(a118) ),
inference(resolution,[status(thm)],[f575,f266]) ).
fof(f656,plain,
( sQ70_spl
| ~ sQ114_spl
| c2_1(a115)
| c1_1(a115) ),
inference(resolution,[status(thm)],[f575,f402]) ).
fof(f658,plain,
( sQ36_spl
| ~ sQ114_spl
| sQ34_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f655,f260,f256,f574,f264]) ).
fof(f659,plain,
( sQ70_spl
| ~ sQ114_spl
| sQ71_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f656,f408,f404,f574,f400]) ).
fof(f661,plain,
( ~ sQ51_spl
| ~ sQ111_spl
| ~ c3_1(a126)
| ~ c1_1(a126) ),
inference(resolution,[status(thm)],[f563,f325]) ).
fof(f662,plain,
( ~ sQ68_spl
| ~ sQ111_spl
| ~ c3_1(a113)
| ~ c1_1(a113) ),
inference(resolution,[status(thm)],[f563,f393]) ).
fof(f663,plain,
( ~ sQ51_spl
| ~ sQ111_spl
| ~ sQ52_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f661,f320,f328,f562,f324]) ).
fof(f664,plain,
( ~ sQ68_spl
| ~ sQ111_spl
| ~ sQ66_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f662,f388,f384,f562,f392]) ).
fof(f665,plain,
( ~ sQ51_spl
| ~ sQ108_spl
| ~ c1_1(a126)
| ~ c2_1(a126) ),
inference(resolution,[status(thm)],[f552,f325]) ).
fof(f666,plain,
( ~ sQ68_spl
| ~ sQ108_spl
| ~ c1_1(a113)
| ~ c2_1(a113) ),
inference(resolution,[status(thm)],[f552,f393]) ).
fof(f667,plain,
( ~ sQ51_spl
| ~ sQ108_spl
| ~ sQ50_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f665,f621,f320,f551,f324]) ).
fof(f668,plain,
( ~ sQ68_spl
| ~ sQ108_spl
| ~ sQ67_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f666,f625,f388,f551,f392]) ).
fof(f673,plain,
( ~ sQ106_spl
| ~ sQ87_spl
| c2_1(a121)
| c0_1(a121) ),
inference(resolution,[status(thm)],[f469,f546]) ).
fof(f674,definition,
( sQ124_spl
<=> c0_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ106_spl
| ~ sQ87_spl
| sQ88_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f673,f674,f472,f468,f545]) ).
fof(f678,plain,
( ~ sQ111_spl
| ~ sQ80_spl
| ~ c3_1(a117)
| ~ c1_1(a117) ),
inference(resolution,[status(thm)],[f441,f563]) ).
fof(f679,definition,
( sQ125_spl
<=> c3_1(a117) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ111_spl
| ~ sQ80_spl
| ~ sQ125_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f678,f436,f679,f440,f562]) ).
fof(f683,plain,
( ~ sQ88_spl
| ~ sQ101_spl
| c3_1(a121)
| ~ c1_1(a121) ),
inference(resolution,[status(thm)],[f525,f473]) ).
fof(f684,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| c3_1(a115)
| ~ c1_1(a115) ),
inference(resolution,[status(thm)],[f525,f405]) ).
fof(f685,plain,
( ~ sQ88_spl
| ~ sQ101_spl
| sQ86_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f683,f468,f464,f524,f472]) ).
fof(f686,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ123_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f684,f408,f642,f524,f404]) ).
fof(f691,plain,
( ~ sQ87_spl
| ~ sQ110_spl
| c2_1(a121)
| c3_1(a121) ),
inference(resolution,[status(thm)],[f559,f469]) ).
fof(f692,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| c2_1(a126)
| c3_1(a126) ),
inference(resolution,[status(thm)],[f559,f321]) ).
fof(f693,plain,
( ~ sQ72_spl
| ~ sQ110_spl
| c2_1(a115)
| c3_1(a115) ),
inference(resolution,[status(thm)],[f559,f409]) ).
fof(f694,plain,
( ~ sQ87_spl
| ~ sQ110_spl
| sQ88_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f691,f464,f472,f558,f468]) ).
fof(f695,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ120_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f692,f328,f621,f558,f320]) ).
fof(f696,plain,
( ~ sQ72_spl
| ~ sQ110_spl
| sQ71_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f693,f642,f404,f558,f408]) ).
fof(f697,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ106_spl
| ~ c1_1(X0)
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f546]) ).
fof(f698,plain,
( ~ sQ87_spl
| ~ sQ113_spl
| ~ sQ106_spl
| c2_1(a121) ),
inference(resolution,[status(thm)],[f697,f469]) ).
fof(f699,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ106_spl
| c2_1(a126) ),
inference(resolution,[status(thm)],[f697,f321]) ).
fof(f700,plain,
( ~ sQ72_spl
| ~ sQ113_spl
| ~ sQ106_spl
| c2_1(a115) ),
inference(resolution,[status(thm)],[f697,f409]) ).
fof(f701,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| c3_1(a108)
| c2_1(a108) ),
inference(resolution,[status(thm)],[f596,f537]) ).
fof(f702,plain,
( ~ sQ111_spl
| ~ sQ118_spl
| ~ c3_1(a108)
| ~ c1_1(a108) ),
inference(resolution,[status(thm)],[f596,f563]) ).
fof(f703,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f701,f164,f160,f595,f536]) ).
fof(f704,plain,
( ~ sQ111_spl
| ~ sQ118_spl
| ~ sQ10_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f702,f168,f160,f595,f562]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ5_spl
| sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ25_spl
| ~ sQ29_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ41_spl
| sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_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
| ~ sQ77_spl
| ~ sQ79_spl
| ~ sQ81_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| ~ sQ101_spl
| sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| ~ sQ108_spl
| sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ116_spl
| sQ117_spl
| sQ118_spl
| sQ120_spl
| sQ121_spl
| sQ123_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN430+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 10:56:28 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.18/0.49 % SZS output start Saturation for theBenchmark
% See solution above
% 0.18/0.56 % Elapsed time: 0.101903 seconds
% 0.18/0.56 % CPU time: 0.146179 seconds
% 0.18/0.56 % Total memory used: 6.154 MB
% 0.18/0.56 % Net memory used: 6.126 MB
%------------------------------------------------------------------------------