%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN531+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:59 PM UTC 2026
% Result : CounterSatisfiable 0.15s 0.58s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c4_0
| ! [X19] :
( ndr1_0
=> ( c4_1(X19)
| ( c2_2(X19,a410)
& ~ c4_2(X19,a410)
& c1_2(X19,a410)
& ndr1_1(X19) ) ) )
| c1_0 )
& ( ~ c5_0
| c2_0 )
& ( ! [X16] :
( ndr1_0
=> ( ! [X18] :
( ndr1_1(X16)
=> ( c2_2(X16,X18)
| ~ c4_2(X16,X18) ) )
| ! [X17] :
( ndr1_1(X16)
=> ( c1_2(X16,X17)
| c2_2(X16,X17) ) )
| c5_1(X16) ) )
| ( c2_2(a407,a409)
& c1_2(a407,a409)
& ~ c3_2(a407,a409)
& ndr1_1(a407)
& ~ c2_1(a407)
& ~ c5_2(a407,a408)
& c1_2(a407,a408)
& ~ c3_2(a407,a408)
& ndr1_1(a407)
& ndr1_0 ) )
& ( ! [X14] :
( ndr1_0
=> ( ( c3_2(X14,a406)
& c2_2(X14,a406)
& c4_2(X14,a406)
& ndr1_1(X14) )
| ! [X15] :
( ndr1_1(X14)
=> ( c3_2(X14,X15)
| c1_2(X14,X15) ) ) ) )
| ! [X12] :
( ndr1_0
=> ( ( ~ c1_2(X12,a405)
& ~ c2_2(X12,a405)
& ~ c5_2(X12,a405)
& ndr1_1(X12) )
| ! [X13] :
( ndr1_1(X12)
=> ( c5_2(X12,X13)
| ~ c3_2(X12,X13)
| c2_2(X12,X13) ) )
| ~ c1_1(X12) ) ) )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c4_0
| c5_0 )
& ( ( c2_1(a403)
& ~ c4_2(a403,a404)
& c3_2(a403,a404)
& ndr1_1(a403)
& c1_1(a403)
& ndr1_0 )
| ~ c5_0
| ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| c1_1(X11)
| c2_1(X11) ) ) )
& ( ( c4_1(a401)
& ~ c1_2(a401,a402)
& c2_2(a401,a402)
& ndr1_1(a401)
& ndr1_0 )
| ( ! [X10] :
( ndr1_1(a400)
=> ~ c3_2(a400,X10) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( c4_2(X8,X9)
| c2_2(X8,X9)
| c3_2(X8,X9) ) ) ) )
| c3_0 )
& ( ~ c5_0
| c3_0
| ( ! [X7] :
( ndr1_1(a399)
=> ( ~ c5_2(a399,X7)
| ~ c1_2(a399,X7)
| ~ c2_2(a399,X7) ) )
& ~ c2_1(a399)
& ndr1_0 ) )
& ( ~ c2_0
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c5_1(X6)
| c4_1(X6) ) ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c5_0
| c4_0 )
& ( ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ( c3_2(X5,a398)
& ndr1_1(X5) )
| ~ c3_1(X5) ) )
| c4_0
| c3_0 )
& ( ~ c2_0
| ( c3_2(a396,a397)
& ~ c4_2(a396,a397)
& ~ c5_2(a396,a397)
& ndr1_1(a396)
& c4_1(a396)
& ~ c3_1(a396)
& ndr1_0 )
| ~ c1_0 )
& ( ( c3_1(a393)
& c2_2(a393,a395)
& ~ c1_2(a393,a395)
& ndr1_1(a393)
& c5_2(a393,a394)
& ~ c3_2(a393,a394)
& ~ c2_2(a393,a394)
& ndr1_1(a393)
& ndr1_0 )
| c5_0
| ( c1_1(a392)
& c3_1(a392)
& c5_1(a392)
& ndr1_0 ) )
& ( ! [X4] :
( ndr1_0
=> ( c5_1(X4)
| c2_1(X4)
| c4_1(X4) ) )
| ~ c4_0 )
& ( ( ! [X3] :
( ndr1_1(a391)
=> ( ~ c5_2(a391,X3)
| c1_2(a391,X3)
| c4_2(a391,X3) ) )
& ~ c3_1(a391)
& ! [X2] :
( ndr1_1(a391)
=> ( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2) ) )
& ndr1_0 )
| ( ! [X1] :
( ndr1_1(a390)
=> ( c5_2(a390,X1)
| c1_2(a390,X1) ) )
& ~ c1_1(a390)
& ndr1_0 )
| ! [Y] :
( ndr1_0
=> ( c5_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( ~ c3_2(Y,Z)
| c1_2(Y,Z) ) )
| c3_1(Y) ) ) )
& ( ! [X] :
( ndr1_0
=> ( ( ~ c3_2(X,a389)
& c1_2(X,a389)
& ndr1_1(X) )
| ~ c5_1(X)
| ~ c1_1(X) ) )
| ! [W] :
( ndr1_0
=> ( c2_1(W)
| ( c2_2(W,a388)
& ~ c1_2(W,a388)
& c3_2(W,a388)
& ndr1_1(W) )
| ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) ) ) ) )
& ( ~ c5_0
| ~ c1_0
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ! [V] :
( ndr1_1(U)
=> ( c2_2(U,V)
| c3_2(U,V) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c4_0
| ! [X19] :
( ndr1_0
=> ( c4_1(X19)
| ( c2_2(X19,a410)
& ~ c4_2(X19,a410)
& c1_2(X19,a410)
& ndr1_1(X19) ) ) )
| c1_0 )
& ( ~ c5_0
| c2_0 )
& ( ! [X16] :
( ndr1_0
=> ( ! [X18] :
( ndr1_1(X16)
=> ( c2_2(X16,X18)
| ~ c4_2(X16,X18) ) )
| ! [X17] :
( ndr1_1(X16)
=> ( c1_2(X16,X17)
| c2_2(X16,X17) ) )
| c5_1(X16) ) )
| ( c2_2(a407,a409)
& c1_2(a407,a409)
& ~ c3_2(a407,a409)
& ndr1_1(a407)
& ~ c2_1(a407)
& ~ c5_2(a407,a408)
& c1_2(a407,a408)
& ~ c3_2(a407,a408)
& ndr1_1(a407)
& ndr1_0 ) )
& ( ! [X14] :
( ndr1_0
=> ( ( c3_2(X14,a406)
& c2_2(X14,a406)
& c4_2(X14,a406)
& ndr1_1(X14) )
| ! [X15] :
( ndr1_1(X14)
=> ( c3_2(X14,X15)
| c1_2(X14,X15) ) ) ) )
| ! [X12] :
( ndr1_0
=> ( ( ~ c1_2(X12,a405)
& ~ c2_2(X12,a405)
& ~ c5_2(X12,a405)
& ndr1_1(X12) )
| ! [X13] :
( ndr1_1(X12)
=> ( c5_2(X12,X13)
| ~ c3_2(X12,X13)
| c2_2(X12,X13) ) )
| ~ c1_1(X12) ) ) )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c4_0
| c5_0 )
& ( ( c2_1(a403)
& ~ c4_2(a403,a404)
& c3_2(a403,a404)
& ndr1_1(a403)
& c1_1(a403)
& ndr1_0 )
| ~ c5_0
| ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| c1_1(X11)
| c2_1(X11) ) ) )
& ( ( c4_1(a401)
& ~ c1_2(a401,a402)
& c2_2(a401,a402)
& ndr1_1(a401)
& ndr1_0 )
| ( ! [X10] :
( ndr1_1(a400)
=> ~ c3_2(a400,X10) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( c4_2(X8,X9)
| c2_2(X8,X9)
| c3_2(X8,X9) ) ) ) )
| c3_0 )
& ( ~ c5_0
| c3_0
| ( ! [X7] :
( ndr1_1(a399)
=> ( ~ c5_2(a399,X7)
| ~ c1_2(a399,X7)
| ~ c2_2(a399,X7) ) )
& ~ c2_1(a399)
& ndr1_0 ) )
& ( ~ c2_0
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c5_1(X6)
| c4_1(X6) ) ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c5_0
| c4_0 )
& ( ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| ( c3_2(X5,a398)
& ndr1_1(X5) )
| ~ c3_1(X5) ) )
| c4_0
| c3_0 )
& ( ~ c2_0
| ( c3_2(a396,a397)
& ~ c4_2(a396,a397)
& ~ c5_2(a396,a397)
& ndr1_1(a396)
& c4_1(a396)
& ~ c3_1(a396)
& ndr1_0 )
| ~ c1_0 )
& ( ( c3_1(a393)
& c2_2(a393,a395)
& ~ c1_2(a393,a395)
& ndr1_1(a393)
& c5_2(a393,a394)
& ~ c3_2(a393,a394)
& ~ c2_2(a393,a394)
& ndr1_1(a393)
& ndr1_0 )
| c5_0
| ( c1_1(a392)
& c3_1(a392)
& c5_1(a392)
& ndr1_0 ) )
& ( ! [X4] :
( ndr1_0
=> ( c5_1(X4)
| c2_1(X4)
| c4_1(X4) ) )
| ~ c4_0 )
& ( ( ! [X3] :
( ndr1_1(a391)
=> ( ~ c5_2(a391,X3)
| c1_2(a391,X3)
| c4_2(a391,X3) ) )
& ~ c3_1(a391)
& ! [X2] :
( ndr1_1(a391)
=> ( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2) ) )
& ndr1_0 )
| ( ! [X1] :
( ndr1_1(a390)
=> ( c5_2(a390,X1)
| c1_2(a390,X1) ) )
& ~ c1_1(a390)
& ndr1_0 )
| ! [Y] :
( ndr1_0
=> ( c5_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( ~ c3_2(Y,Z)
| c1_2(Y,Z) ) )
| c3_1(Y) ) ) )
& ( ! [X] :
( ndr1_0
=> ( ( ~ c3_2(X,a389)
& c1_2(X,a389)
& ndr1_1(X) )
| ~ c5_1(X)
| ~ c1_1(X) ) )
| ! [W] :
( ndr1_0
=> ( c2_1(W)
| ( c2_2(W,a388)
& ~ c1_2(W,a388)
& c3_2(W,a388)
& ndr1_1(W) )
| ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) ) ) ) )
& ( ~ c5_0
| ~ c1_0
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ! [V] :
( ndr1_1(U)
=> ( c2_2(U,V)
| c3_2(U,V) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c4_0
| ! [X19] :
( c4_1(X19)
| ( c2_2(X19,a410)
& ~ c4_2(X19,a410)
& c1_2(X19,a410)
& ndr1_1(X19) )
| ~ ndr1_0 )
| c1_0 )
& ( ~ c5_0
| c2_0 )
& ( ! [X16] :
( ! [X18] :
( c2_2(X16,X18)
| ~ c4_2(X16,X18)
| ~ ndr1_1(X16) )
| ! [X17] :
( c1_2(X16,X17)
| c2_2(X16,X17)
| ~ ndr1_1(X16) )
| c5_1(X16)
| ~ ndr1_0 )
| ( c2_2(a407,a409)
& c1_2(a407,a409)
& ~ c3_2(a407,a409)
& ndr1_1(a407)
& ~ c2_1(a407)
& ~ c5_2(a407,a408)
& c1_2(a407,a408)
& ~ c3_2(a407,a408)
& ndr1_1(a407)
& ndr1_0 ) )
& ( ! [X14] :
( ( c3_2(X14,a406)
& c2_2(X14,a406)
& c4_2(X14,a406)
& ndr1_1(X14) )
| ! [X15] :
( c3_2(X14,X15)
| c1_2(X14,X15)
| ~ ndr1_1(X14) )
| ~ ndr1_0 )
| ! [X12] :
( ( ~ c1_2(X12,a405)
& ~ c2_2(X12,a405)
& ~ c5_2(X12,a405)
& ndr1_1(X12) )
| ! [X13] :
( c5_2(X12,X13)
| ~ c3_2(X12,X13)
| c2_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ c1_1(X12)
| ~ ndr1_0 ) )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c4_0
| c5_0 )
& ( ( c2_1(a403)
& ~ c4_2(a403,a404)
& c3_2(a403,a404)
& ndr1_1(a403)
& c1_1(a403)
& ndr1_0 )
| ~ c5_0
| ! [X11] :
( ~ c3_1(X11)
| c1_1(X11)
| c2_1(X11)
| ~ ndr1_0 ) )
& ( ( c4_1(a401)
& ~ c1_2(a401,a402)
& c2_2(a401,a402)
& ndr1_1(a401)
& ndr1_0 )
| ( ! [X10] :
( ~ c3_2(a400,X10)
| ~ ndr1_1(a400) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ! [X8] :
( c1_1(X8)
| ! [X9] :
( c4_2(X8,X9)
| c2_2(X8,X9)
| c3_2(X8,X9)
| ~ ndr1_1(X8) )
| ~ ndr1_0 )
| c3_0 )
& ( ~ c5_0
| c3_0
| ( ! [X7] :
( ~ c5_2(a399,X7)
| ~ c1_2(a399,X7)
| ~ c2_2(a399,X7)
| ~ ndr1_1(a399) )
& ~ c2_1(a399)
& ndr1_0 ) )
& ( ~ c2_0
| ! [X6] :
( ~ c3_1(X6)
| c5_1(X6)
| c4_1(X6)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c5_0
| c4_0 )
& ( ! [X5] :
( ~ c1_1(X5)
| ( c3_2(X5,a398)
& ndr1_1(X5) )
| ~ c3_1(X5)
| ~ ndr1_0 )
| c4_0
| c3_0 )
& ( ~ c2_0
| ( c3_2(a396,a397)
& ~ c4_2(a396,a397)
& ~ c5_2(a396,a397)
& ndr1_1(a396)
& c4_1(a396)
& ~ c3_1(a396)
& ndr1_0 )
| ~ c1_0 )
& ( ( c3_1(a393)
& c2_2(a393,a395)
& ~ c1_2(a393,a395)
& ndr1_1(a393)
& c5_2(a393,a394)
& ~ c3_2(a393,a394)
& ~ c2_2(a393,a394)
& ndr1_1(a393)
& ndr1_0 )
| c5_0
| ( c1_1(a392)
& c3_1(a392)
& c5_1(a392)
& ndr1_0 ) )
& ( ! [X4] :
( c5_1(X4)
| c2_1(X4)
| c4_1(X4)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ( ! [X3] :
( ~ c5_2(a391,X3)
| c1_2(a391,X3)
| c4_2(a391,X3)
| ~ ndr1_1(a391) )
& ~ c3_1(a391)
& ! [X2] :
( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2)
| ~ ndr1_1(a391) )
& ndr1_0 )
| ( ! [X1] :
( c5_2(a390,X1)
| c1_2(a390,X1)
| ~ ndr1_1(a390) )
& ~ c1_1(a390)
& ndr1_0 )
| ! [Y] :
( c5_1(Y)
| ! [Z] :
( ~ c3_2(Y,Z)
| c1_2(Y,Z)
| ~ ndr1_1(Y) )
| c3_1(Y)
| ~ ndr1_0 ) )
& ( ! [X] :
( ( ~ c3_2(X,a389)
& c1_2(X,a389)
& ndr1_1(X) )
| ~ c5_1(X)
| ~ c1_1(X)
| ~ ndr1_0 )
| ! [W] :
( c2_1(W)
| ( c2_2(W,a388)
& ~ c1_2(W,a388)
& c3_2(W,a388)
& ndr1_1(W) )
| ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) )
| ~ ndr1_0 ) )
& ( ~ c5_0
| ~ c1_0
| ! [U] :
( c3_1(U)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| ~ ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [W] :
( sP0_prd(W)
<=> ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ! [X1] :
( c5_2(a390,X1)
| c1_2(a390,X1)
| ~ ndr1_1(a390) )
& ~ c1_1(a390)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( c5_0
| ( c1_1(a392)
& c3_1(a392)
& c5_1(a392)
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ! [X10] :
( ~ c3_2(a400,X10)
| ~ ndr1_1(a400) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,plain,
( ( c4_0
| ! [X19] :
( c4_1(X19)
| ( c2_2(X19,a410)
& ~ c4_2(X19,a410)
& c1_2(X19,a410)
& ndr1_1(X19) )
| ~ ndr1_0 )
| c1_0 )
& ( ~ c5_0
| c2_0 )
& ( ! [X16] :
( ! [X18] :
( c2_2(X16,X18)
| ~ c4_2(X16,X18)
| ~ ndr1_1(X16) )
| ! [X17] :
( c1_2(X16,X17)
| c2_2(X16,X17)
| ~ ndr1_1(X16) )
| c5_1(X16)
| ~ ndr1_0 )
| ( c2_2(a407,a409)
& c1_2(a407,a409)
& ~ c3_2(a407,a409)
& ndr1_1(a407)
& ~ c2_1(a407)
& ~ c5_2(a407,a408)
& c1_2(a407,a408)
& ~ c3_2(a407,a408)
& ndr1_1(a407)
& ndr1_0 ) )
& ( ! [X14] :
( ( c3_2(X14,a406)
& c2_2(X14,a406)
& c4_2(X14,a406)
& ndr1_1(X14) )
| ! [X15] :
( c3_2(X14,X15)
| c1_2(X14,X15)
| ~ ndr1_1(X14) )
| ~ ndr1_0 )
| ! [X12] :
( ( ~ c1_2(X12,a405)
& ~ c2_2(X12,a405)
& ~ c5_2(X12,a405)
& ndr1_1(X12) )
| ! [X13] :
( c5_2(X12,X13)
| ~ c3_2(X12,X13)
| c2_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ c1_1(X12)
| ~ ndr1_0 ) )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c4_0
| c5_0 )
& ( ( c2_1(a403)
& ~ c4_2(a403,a404)
& c3_2(a403,a404)
& ndr1_1(a403)
& c1_1(a403)
& ndr1_0 )
| ~ c5_0
| ! [X11] :
( ~ c3_1(X11)
| c1_1(X11)
| c2_1(X11)
| ~ ndr1_0 ) )
& ( ( c4_1(a401)
& ~ c1_2(a401,a402)
& c2_2(a401,a402)
& ndr1_1(a401)
& ndr1_0 )
| sP3_prd
| ~ c2_0 )
& ( c2_0
| ! [X8] :
( c1_1(X8)
| ! [X9] :
( c4_2(X8,X9)
| c2_2(X8,X9)
| c3_2(X8,X9)
| ~ ndr1_1(X8) )
| ~ ndr1_0 )
| c3_0 )
& ( ~ c5_0
| c3_0
| ( ! [X7] :
( ~ c5_2(a399,X7)
| ~ c1_2(a399,X7)
| ~ c2_2(a399,X7)
| ~ ndr1_1(a399) )
& ~ c2_1(a399)
& ndr1_0 ) )
& ( ~ c2_0
| ! [X6] :
( ~ c3_1(X6)
| c5_1(X6)
| c4_1(X6)
| ~ ndr1_0 ) )
& ( ~ c3_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c5_0
| c4_0 )
& ( ! [X5] :
( ~ c1_1(X5)
| ( c3_2(X5,a398)
& ndr1_1(X5) )
| ~ c3_1(X5)
| ~ ndr1_0 )
| c4_0
| c3_0 )
& ( ~ c2_0
| ( c3_2(a396,a397)
& ~ c4_2(a396,a397)
& ~ c5_2(a396,a397)
& ndr1_1(a396)
& c4_1(a396)
& ~ c3_1(a396)
& ndr1_0 )
| ~ c1_0 )
& ( ( c3_1(a393)
& c2_2(a393,a395)
& ~ c1_2(a393,a395)
& ndr1_1(a393)
& c5_2(a393,a394)
& ~ c3_2(a393,a394)
& ~ c2_2(a393,a394)
& ndr1_1(a393)
& ndr1_0 )
| sP2_prd )
& ( ! [X4] :
( c5_1(X4)
| c2_1(X4)
| c4_1(X4)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ( ! [X3] :
( ~ c5_2(a391,X3)
| c1_2(a391,X3)
| c4_2(a391,X3)
| ~ ndr1_1(a391) )
& ~ c3_1(a391)
& ! [X2] :
( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2)
| ~ ndr1_1(a391) )
& ndr1_0 )
| sP1_prd
| ! [Y] :
( c5_1(Y)
| ! [Z] :
( ~ c3_2(Y,Z)
| c1_2(Y,Z)
| ~ ndr1_1(Y) )
| c3_1(Y)
| ~ ndr1_0 ) )
& ( ! [X] :
( ( ~ c3_2(X,a389)
& c1_2(X,a389)
& ndr1_1(X) )
| ~ c5_1(X)
| ~ c1_1(X)
| ~ ndr1_0 )
| ! [W] :
( c2_1(W)
| ( c2_2(W,a388)
& ~ c1_2(W,a388)
& c3_2(W,a388)
& ndr1_1(W) )
| sP0_prd(W)
| ~ ndr1_0 ) )
& ( ~ c5_0
| ~ c1_0
| ! [U] :
( c3_1(U)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| ~ ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ( c4_0
| ! [X19] :
( c4_1(X19)
| ( c2_2(X19,a410)
& ~ c4_2(X19,a410)
& c1_2(X19,a410)
& ndr1_1(X19) ) )
| ~ ndr1_0
| c1_0 )
& ( ~ c5_0
| c2_0 )
& ( ! [X16] :
( ! [X18] :
( c2_2(X16,X18)
| ~ c4_2(X16,X18) )
| ~ ndr1_1(X16)
| ! [X17] :
( c1_2(X16,X17)
| c2_2(X16,X17) )
| ~ ndr1_1(X16)
| c5_1(X16) )
| ~ ndr1_0
| ( c2_2(a407,a409)
& c1_2(a407,a409)
& ~ c3_2(a407,a409)
& ndr1_1(a407)
& ~ c2_1(a407)
& ~ c5_2(a407,a408)
& c1_2(a407,a408)
& ~ c3_2(a407,a408)
& ndr1_1(a407)
& ndr1_0 ) )
& ( ! [X14] :
( ( c3_2(X14,a406)
& c2_2(X14,a406)
& c4_2(X14,a406)
& ndr1_1(X14) )
| ! [X15] :
( c3_2(X14,X15)
| c1_2(X14,X15) )
| ~ ndr1_1(X14) )
| ~ ndr1_0
| ! [X12] :
( ( ~ c1_2(X12,a405)
& ~ c2_2(X12,a405)
& ~ c5_2(X12,a405)
& ndr1_1(X12) )
| ! [X13] :
( c5_2(X12,X13)
| ~ c3_2(X12,X13)
| c2_2(X12,X13) )
| ~ ndr1_1(X12)
| ~ c1_1(X12) )
| ~ ndr1_0 )
& ( c3_0
| c1_0
| ~ c5_0 )
& ( c4_0
| c5_0 )
& ( ( c2_1(a403)
& ~ c4_2(a403,a404)
& c3_2(a403,a404)
& ndr1_1(a403)
& c1_1(a403)
& ndr1_0 )
| ~ c5_0
| ! [X11] :
( ~ c3_1(X11)
| c1_1(X11)
| c2_1(X11) )
| ~ ndr1_0 )
& ( ( c4_1(a401)
& ~ c1_2(a401,a402)
& c2_2(a401,a402)
& ndr1_1(a401)
& ndr1_0 )
| sP3_prd
| ~ c2_0 )
& ( c2_0
| ! [X8] :
( c1_1(X8)
| ! [X9] :
( c4_2(X8,X9)
| c2_2(X8,X9)
| c3_2(X8,X9) )
| ~ ndr1_1(X8) )
| ~ ndr1_0
| c3_0 )
& ( ~ c5_0
| c3_0
| ( ( ! [X7] :
( ~ c5_2(a399,X7)
| ~ c1_2(a399,X7)
| ~ c2_2(a399,X7) )
| ~ ndr1_1(a399) )
& ~ c2_1(a399)
& ndr1_0 ) )
& ( ~ c2_0
| ! [X6] :
( ~ c3_1(X6)
| c5_1(X6)
| c4_1(X6) )
| ~ ndr1_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c5_0
| c4_0 )
& ( ! [X5] :
( ~ c1_1(X5)
| ( c3_2(X5,a398)
& ndr1_1(X5) )
| ~ c3_1(X5) )
| ~ ndr1_0
| c4_0
| c3_0 )
& ( ~ c2_0
| ( c3_2(a396,a397)
& ~ c4_2(a396,a397)
& ~ c5_2(a396,a397)
& ndr1_1(a396)
& c4_1(a396)
& ~ c3_1(a396)
& ndr1_0 )
| ~ c1_0 )
& ( ( c3_1(a393)
& c2_2(a393,a395)
& ~ c1_2(a393,a395)
& ndr1_1(a393)
& c5_2(a393,a394)
& ~ c3_2(a393,a394)
& ~ c2_2(a393,a394)
& ndr1_1(a393)
& ndr1_0 )
| sP2_prd )
& ( ! [X4] :
( c5_1(X4)
| c2_1(X4)
| c4_1(X4) )
| ~ ndr1_0
| ~ c4_0 )
& ( ( ( ! [X3] :
( ~ c5_2(a391,X3)
| c1_2(a391,X3)
| c4_2(a391,X3) )
| ~ ndr1_1(a391) )
& ~ c3_1(a391)
& ( ! [X2] :
( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2) )
| ~ ndr1_1(a391) )
& ndr1_0 )
| sP1_prd
| ! [Y] :
( c5_1(Y)
| ! [Z] :
( ~ c3_2(Y,Z)
| c1_2(Y,Z) )
| ~ ndr1_1(Y)
| c3_1(Y) )
| ~ ndr1_0 )
& ( ! [X] :
( ( ~ c3_2(X,a389)
& c1_2(X,a389)
& ndr1_1(X) )
| ~ c5_1(X)
| ~ c1_1(X) )
| ~ ndr1_0
| ! [W] :
( c2_1(W)
| ( c2_2(W,a388)
& ~ c1_2(W,a388)
& c3_2(W,a388)
& ndr1_1(W) )
| sP0_prd(W) )
| ~ ndr1_0 )
& ( ~ c5_0
| ~ c1_0
| ! [U] :
( c3_1(U)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V) )
| ~ ndr1_1(U) )
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ c5_0
| ~ c1_0
| c3_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ndr1_1(X1)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( c1_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f13,plain,
! [X0,X1] :
( ~ c3_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( ndr1_1(X1)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c3_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( c1_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c3_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( ~ c3_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c3_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
! [X0,X1] :
( ndr1_1(X1)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ~ c1_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
! [X0,X1] :
( c1_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ~ c1_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0,X1] :
( ~ c3_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ~ c1_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0,X1] :
( ndr1_1(X1)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c2_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1] :
( c1_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c2_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0,X1] :
( ~ c3_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c2_2(X0,a388)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2)
| ~ ndr1_1(a391)
| sP1_prd
| c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] :
( ~ c3_1(a391)
| sP1_prd
| c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ c5_2(a391,X2)
| c1_2(a391,X2)
| c4_2(a391,X2)
| ~ ndr1_1(a391)
| sP1_prd
| c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0] :
( c5_1(X0)
| c2_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
( ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
( ndr1_1(a393)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
( ~ c2_2(a393,a394)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( ~ c3_2(a393,a394)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
( c5_2(a393,a394)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
( ~ c1_2(a393,a395)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( c2_2(a393,a395)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( c3_1(a393)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
( ~ c2_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( ~ c2_0
| ~ c3_1(a396)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
( ~ c2_0
| c4_1(a396)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
( ~ c2_0
| ndr1_1(a396)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
( ~ c2_0
| ~ c5_2(a396,a397)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
( ~ c2_0
| ~ c4_2(a396,a397)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
( ~ c2_0
| c3_2(a396,a397)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c4_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [X0] :
( ~ c1_1(X0)
| c3_2(X0,a398)
| ~ c3_1(X0)
| ~ ndr1_0
| c4_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
( ~ c2_0
| ~ c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
( ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f48,plain,
! [X0] :
( ~ c2_0
| ~ c3_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
( ~ c5_0
| c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( ~ c5_0
| c3_0
| ~ c2_1(a399) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
! [X0] :
( ~ c5_0
| c3_0
| ~ c5_2(a399,X0)
| ~ c1_2(a399,X0)
| ~ c2_2(a399,X0)
| ~ ndr1_1(a399) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( c2_0
| c1_1(X0)
| c4_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f53,plain,
( ndr1_0
| sP3_prd
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( ndr1_1(a401)
| sP3_prd
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f55,plain,
( c2_2(a401,a402)
| sP3_prd
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f56,plain,
( ~ c1_2(a401,a402)
| sP3_prd
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f57,plain,
( c4_1(a401)
| sP3_prd
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
! [X0] :
( c1_1(a403)
| ~ c5_0
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f60,plain,
! [X0] :
( ndr1_1(a403)
| ~ c5_0
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
! [X0] :
( c3_2(a403,a404)
| ~ c5_0
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
! [X0] :
( ~ c4_2(a403,a404)
| ~ c5_0
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f63,plain,
! [X0] :
( c2_1(a403)
| ~ c5_0
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( c4_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
( c3_0
| c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ndr1_1(X2)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ndr1_1(X0)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( c4_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ndr1_1(X0)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( c2_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ndr1_1(X0)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( c3_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ndr1_1(X0)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ndr1_1(X2)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( c4_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( c2_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( c3_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ndr1_1(X2)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( c4_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( c2_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( c3_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ndr1_1(X2)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( c4_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( c2_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( c3_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f83,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ndr1_1(a407) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f84,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c3_2(a407,a408) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f85,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c1_2(a407,a408) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f86,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c5_2(a407,a408) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f87,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c2_1(a407) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f89,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c3_2(a407,a409) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f90,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c1_2(a407,a409) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f91,plain,
! [X0,X1,X2] :
( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c2_2(a407,a409) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f92,plain,
( ~ c5_0
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f93,plain,
! [X0] :
( c4_0
| c4_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f94,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c1_2(X0,a410)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f95,plain,
! [X0] :
( c4_0
| c4_1(X0)
| ~ c4_2(X0,a410)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f96,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c2_2(X0,a410)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f97,plain,
! [W] :
( ( ~ c3_2(W,a387)
| ~ c2_2(W,a387)
| ~ c5_2(W,a387)
| ~ ndr1_1(W)
| sP0_prd(W) )
& ( ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) )
| ~ sP0_prd(W) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( ! [W] :
( ~ c3_2(W,a387)
| ~ c2_2(W,a387)
| ~ c5_2(W,a387)
| ~ ndr1_1(W)
| sP0_prd(W) )
& ! [W] :
( ( c3_2(W,a387)
& c2_2(W,a387)
& c5_2(W,a387)
& ndr1_1(W) )
| ~ sP0_prd(W) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] :
( c5_2(X0,a387)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,plain,
! [X0] :
( c2_2(X0,a387)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X0] :
( c3_2(X0,a387)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f103,plain,
! [X0] :
( ~ c3_2(X0,a387)
| ~ c2_2(X0,a387)
| ~ c5_2(X0,a387)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f104,plain,
( ( ? [X1] :
( ~ c5_2(a390,X1)
& ~ c1_2(a390,X1)
& ndr1_1(a390) )
| c1_1(a390)
| ~ ndr1_0
| sP1_prd )
& ( ( ! [X1] :
( c5_2(a390,X1)
| c1_2(a390,X1)
| ~ ndr1_1(a390) )
& ~ c1_1(a390)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f105,plain,
( ( ( ? [X1] :
( ~ c5_2(a390,X1)
& ~ c1_2(a390,X1) )
& ndr1_1(a390) )
| c1_1(a390)
| ~ ndr1_0
| sP1_prd )
& ( ( ( ! [X1] :
( c5_2(a390,X1)
| c1_2(a390,X1) )
| ~ ndr1_1(a390) )
& ~ c1_1(a390)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
( ( ( ~ c5_2(a390,sK0_skl)
& ~ c1_2(a390,sK0_skl)
& ndr1_1(a390) )
| c1_1(a390)
| ~ ndr1_0
| sP1_prd )
& ( ( ( ! [X1] :
( c5_2(a390,X1)
| c1_2(a390,X1) )
| ~ ndr1_1(a390) )
& ~ c1_1(a390)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl)],[f105]) ).
fof(f107,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
( ~ c1_1(a390)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f109,plain,
! [X0] :
( c5_2(a390,X0)
| c1_2(a390,X0)
| ~ ndr1_1(a390)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f110,plain,
( ndr1_1(a390)
| c1_1(a390)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f111,plain,
( ~ c1_2(a390,sK0_skl)
| c1_1(a390)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f112,plain,
( ~ c5_2(a390,sK0_skl)
| c1_1(a390)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f113,plain,
( ( ( ~ c5_0
& ( ~ c1_1(a392)
| ~ c3_1(a392)
| ~ c5_1(a392)
| ~ ndr1_0 ) )
| sP2_prd )
& ( c5_0
| ( c1_1(a392)
& c3_1(a392)
& c5_1(a392)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f114,plain,
( c5_0
| ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
( c5_0
| c5_1(a392)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f116,plain,
( c5_0
| c3_1(a392)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f117,plain,
( c5_0
| c1_1(a392)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f118,plain,
( ~ c1_1(a392)
| ~ c3_1(a392)
| ~ c5_1(a392)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f119,plain,
( ~ c5_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f120,plain,
( ( ? [X10] :
( c3_2(a400,X10)
& ndr1_1(a400) )
| c1_1(a400)
| ~ c2_1(a400)
| ~ ndr1_0
| sP3_prd )
& ( ( ! [X10] :
( ~ c3_2(a400,X10)
| ~ ndr1_1(a400) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f121,plain,
( ( ( ? [X10] : c3_2(a400,X10)
& ndr1_1(a400) )
| c1_1(a400)
| ~ c2_1(a400)
| ~ ndr1_0
| sP3_prd )
& ( ( ( ! [X10] : ~ c3_2(a400,X10)
| ~ ndr1_1(a400) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f122,plain,
( ( ( c3_2(a400,sK1_skl)
& ndr1_1(a400) )
| c1_1(a400)
| ~ c2_1(a400)
| ~ ndr1_0
| sP3_prd )
& ( ( ( ! [X10] : ~ c3_2(a400,X10)
| ~ ndr1_1(a400) )
& ~ c1_1(a400)
& c2_1(a400)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X10,sK1_skl)],[f121]) ).
fof(f123,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
( c2_1(a400)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f125,plain,
( ~ c1_1(a400)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f126,plain,
! [X0] :
( ~ c3_2(a400,X0)
| ~ ndr1_1(a400)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f127,plain,
( ndr1_1(a400)
| c1_1(a400)
| ~ c2_1(a400)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f128,plain,
( c3_2(a400,sK1_skl)
| c1_1(a400)
| ~ c2_1(a400)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f129,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
! [X0,X1] :
( sQ1_spl
<=> ( c3_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f133,plain,
! [X0,X1] :
( ~ sQ1_spl
| c3_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ2_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( sQ2_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ3_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ3_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f129,f132,f135,f138]) ).
fof(f142,definition,
! [X0] :
( sQ4_spl
<=> ( c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f143,plain,
! [X0] :
( ~ sQ4_spl
| c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
! [X1] :
( sQ5_spl
<=> ( ndr1_1(X1)
| ~ c5_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f146,plain,
! [X0] :
( ~ sQ5_spl
| ndr1_1(X0)
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ5_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f129,f142,f145]) ).
fof(f149,definition,
! [X1] :
( sQ6_spl
<=> ( c1_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f150,plain,
! [X0] :
( ~ sQ6_spl
| c1_2(X0,a389)
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ6_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f129,f142,f149]) ).
fof(f153,definition,
! [X1] :
( sQ7_spl
<=> ( ~ c3_2(X1,a389)
| ~ c5_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0] :
( ~ sQ7_spl
| ~ c3_2(X0,a389)
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ7_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f129,f142,f153]) ).
fof(f157,definition,
! [X0] :
( sQ8_spl
<=> ( c2_1(X0)
| c3_2(X0,a388)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ8_spl
| c2_1(X0)
| c3_2(X0,a388)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ5_spl
| sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f129,f157,f145]) ).
fof(f161,plain,
( sQ6_spl
| sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f129,f157,f149]) ).
fof(f162,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f129,f157,f153]) ).
fof(f163,definition,
! [X0] :
( sQ9_spl
<=> ( c2_1(X0)
| ~ c1_2(X0,a388)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ9_spl
| c2_1(X0)
| ~ c1_2(X0,a388)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ5_spl
| sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f17,f129,f163,f145]) ).
fof(f167,plain,
( sQ6_spl
| sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f129,f163,f149]) ).
fof(f168,plain,
( sQ7_spl
| sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f19,f129,f163,f153]) ).
fof(f169,definition,
! [X0] :
( sQ10_spl
<=> ( c2_1(X0)
| c2_2(X0,a388)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f170,plain,
! [X0] :
( ~ sQ10_spl
| c2_1(X0)
| c2_2(X0,a388)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ5_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f129,f169,f145]) ).
fof(f173,plain,
( sQ6_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f21,f129,f169,f149]) ).
fof(f174,plain,
( sQ7_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f129,f169,f153]) ).
fof(f175,definition,
! [X0,X1] :
( sQ11_spl
<=> ( c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sQ11_spl
| c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ12_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ12_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f182,definition,
( sQ13_spl
<=> ndr1_1(a391) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ13_spl
| ~ ndr1_1(a391) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
! [X2] :
( sQ14_spl
<=> ( ~ c3_2(a391,X2)
| ~ c1_2(a391,X2)
| c4_2(a391,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f186,plain,
! [X0] :
( ~ sQ14_spl
| ~ c3_2(a391,X0)
| ~ c1_2(a391,X0)
| c4_2(a391,X0) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ14_spl
| ~ sQ13_spl
| sQ12_spl
| sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f129,f175,f178,f182,f185]) ).
fof(f189,definition,
( sQ15_spl
<=> c3_1(a391) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ15_spl
| ~ c3_1(a391) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( ~ sQ15_spl
| sQ12_spl
| sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f129,f175,f178,f189]) ).
fof(f193,definition,
! [X2] :
( sQ16_spl
<=> ( ~ c5_2(a391,X2)
| c1_2(a391,X2)
| c4_2(a391,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f194,plain,
! [X0] :
( ~ sQ16_spl
| ~ c5_2(a391,X0)
| c1_2(a391,X0)
| c4_2(a391,X0) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( sQ16_spl
| ~ sQ13_spl
| sQ12_spl
| sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f129,f175,f178,f182,f193]) ).
fof(f197,definition,
( sQ17_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ17_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
! [X0] :
( sQ18_spl
<=> ( c5_1(X0)
| c2_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f201,plain,
! [X0] :
( ~ sQ18_spl
| c5_1(X0)
| c2_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ18_spl
| ~ sQ0_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f27,f197,f129,f200]) ).
fof(f204,definition,
( sQ19_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ19_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ0_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f28,f204,f129]) ).
fof(f208,definition,
( sQ20_spl
<=> ndr1_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ20_spl
| ndr1_1(a393) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f29,f204,f208]) ).
fof(f212,definition,
( sQ21_spl
<=> c2_2(a393,a394) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ21_spl
| ~ c2_2(a393,a394) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( ~ sQ21_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f30,f204,f212]) ).
fof(f216,definition,
( sQ22_spl
<=> c3_2(a393,a394) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( sQ22_spl
| ~ c3_2(a393,a394) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sQ22_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f31,f204,f216]) ).
fof(f220,definition,
( sQ23_spl
<=> c5_2(a393,a394) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ23_spl
| c5_2(a393,a394) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f32,f204,f220]) ).
fof(f225,definition,
( sQ24_spl
<=> c1_2(a393,a395) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ24_spl
| ~ c1_2(a393,a395) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( ~ sQ24_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f34,f204,f225]) ).
fof(f229,definition,
( sQ25_spl
<=> c2_2(a393,a395) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ25_spl
| c2_2(a393,a395) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ25_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f35,f204,f229]) ).
fof(f233,definition,
( sQ26_spl
<=> c3_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ26_spl
| c3_1(a393) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ26_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f36,f204,f233]) ).
fof(f237,definition,
( sQ27_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ27_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( ~ sQ27_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f37,f135,f129,f237]) ).
fof(f241,definition,
( sQ28_spl
<=> c3_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ28_spl
| ~ c3_1(a396) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f38,f135,f241,f237]) ).
fof(f245,definition,
( sQ29_spl
<=> c4_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ29_spl
| c4_1(a396) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ sQ27_spl
| sQ29_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f39,f135,f245,f237]) ).
fof(f249,definition,
( sQ30_spl
<=> ndr1_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ30_spl
| ndr1_1(a396) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ30_spl
| ~ ndr1_1(a396) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ27_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f135,f249,f237]) ).
fof(f253,definition,
( sQ31_spl
<=> c5_2(a396,a397) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ31_spl
| ~ c5_2(a396,a397) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f135,f253,f237]) ).
fof(f257,definition,
( sQ32_spl
<=> c4_2(a396,a397) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ32_spl
| ~ c4_2(a396,a397) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f42,f135,f257,f237]) ).
fof(f261,definition,
( sQ33_spl
<=> c3_2(a396,a397) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ33_spl
| c3_2(a396,a397) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( ~ sQ27_spl
| sQ33_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f43,f135,f261,f237]) ).
fof(f265,definition,
( sQ34_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( sQ34_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
! [X0] :
( sQ35_spl
<=> ( ~ c1_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f269,plain,
! [X0] :
( ~ sQ35_spl
| ~ c1_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ35_spl
| ~ sQ0_spl
| sQ17_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f44,f265,f197,f129,f268]) ).
fof(f272,definition,
! [X0] :
( sQ36_spl
<=> ( ~ c1_1(X0)
| c3_2(X0,a398)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ36_spl
| ~ c1_1(X0)
| c3_2(X0,a398)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ36_spl
| ~ sQ0_spl
| sQ17_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f45,f265,f197,f129,f272]) ).
fof(f276,plain,
( ~ sQ27_spl
| ~ sQ3_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f197,f138,f237]) ).
fof(f277,plain,
( ~ sQ34_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f47,f237,f265]) ).
fof(f278,definition,
! [X0] :
( sQ37_spl
<=> ( ~ c3_1(X0)
| c5_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f279,plain,
! [X0] :
( ~ sQ37_spl
| ~ c3_1(X0)
| c5_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( ~ sQ27_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f129,f278,f237]) ).
fof(f282,plain,
( ~ sQ3_spl
| sQ34_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f129,f265,f138]) ).
fof(f283,definition,
( sQ38_spl
<=> c2_1(a399) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ38_spl
| c2_1(a399) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ38_spl
| ~ c2_1(a399) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( ~ sQ3_spl
| sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f50,f283,f265,f138]) ).
fof(f287,definition,
( sQ39_spl
<=> ndr1_1(a399) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ39_spl
| ndr1_1(a399) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ39_spl
| ~ ndr1_1(a399) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
! [X0] :
( sQ40_spl
<=> ( ~ c5_2(a399,X0)
| ~ c1_2(a399,X0)
| ~ c2_2(a399,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f291,plain,
! [X0] :
( ~ sQ40_spl
| ~ c5_2(a399,X0)
| ~ c1_2(a399,X0)
| ~ c2_2(a399,X0) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ3_spl
| sQ34_spl
| sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f51,f287,f290,f265,f138]) ).
fof(f294,definition,
! [X0,X1] :
( sQ41_spl
<=> ( c1_1(X0)
| c4_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sQ41_spl
| c1_1(X0)
| c4_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ27_spl
| sQ41_spl
| ~ sQ0_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f52,f265,f129,f294,f237]) ).
fof(f298,definition,
( sQ42_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ42_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ42_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ0_spl
| sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f53,f237,f298,f129]) ).
fof(f302,definition,
( sQ43_spl
<=> ndr1_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ43_spl
| ndr1_1(a401) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f54,f237,f298,f302]) ).
fof(f306,definition,
( sQ44_spl
<=> c2_2(a401,a402) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ44_spl
| c2_2(a401,a402) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ44_spl
| sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f55,f237,f298,f306]) ).
fof(f310,definition,
( sQ45_spl
<=> c1_2(a401,a402) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ45_spl
| c1_2(a401,a402) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f312,plain,
( sQ45_spl
| ~ c1_2(a401,a402) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( ~ sQ45_spl
| sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f56,f237,f298,f310]) ).
fof(f314,definition,
( sQ46_spl
<=> c4_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ46_spl
| c4_1(a401) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ46_spl
| sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f57,f237,f298,f314]) ).
fof(f318,definition,
! [X0] :
( sQ47_spl
<=> ( ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f319,plain,
! [X0] :
( ~ sQ47_spl
| ~ c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f322,definition,
( sQ48_spl
<=> c1_1(a403) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ48_spl
| c1_1(a403) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ48_spl
| ~ c1_1(a403) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ48_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f129,f318,f138,f322]) ).
fof(f326,definition,
( sQ49_spl
<=> ndr1_1(a403) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ49_spl
| ndr1_1(a403) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ49_spl
| ~ ndr1_1(a403) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ49_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f129,f318,f138,f326]) ).
fof(f330,definition,
( sQ50_spl
<=> c3_2(a403,a404) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ50_spl
| c3_2(a403,a404) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ50_spl
| ~ c3_2(a403,a404) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ50_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f61,f129,f318,f138,f330]) ).
fof(f334,definition,
( sQ51_spl
<=> c4_2(a403,a404) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( sQ51_spl
| ~ c4_2(a403,a404) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f129,f318,f138,f334]) ).
fof(f338,definition,
( sQ52_spl
<=> c2_1(a403) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ52_spl
| c2_1(a403) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ52_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f129,f318,f138,f338]) ).
fof(f342,plain,
( sQ17_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f64,f138,f197]) ).
fof(f343,plain,
( sQ34_spl
| sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f65,f138,f135,f265]) ).
fof(f344,definition,
! [X0,X1] :
( sQ53_spl
<=> ( ndr1_1(X0)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f347,definition,
! [X2,X3] :
( sQ54_spl
<=> ( ndr1_1(X2)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ54_spl
| sQ53_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f129,f344,f347]) ).
fof(f351,definition,
! [X2,X3] :
( sQ55_spl
<=> ( c4_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f352,plain,
! [X0,X1] :
( ~ sQ55_spl
| c4_2(X0,a406)
| c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( sQ55_spl
| sQ53_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f129,f344,f351]) ).
fof(f355,definition,
! [X2,X3] :
( sQ56_spl
<=> ( c2_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0,X1] :
( ~ sQ56_spl
| c2_2(X0,a406)
| c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ56_spl
| sQ53_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f129,f344,f355]) ).
fof(f359,definition,
! [X2,X3] :
( sQ57_spl
<=> ( c3_2(X2,a406)
| c3_2(X2,X3)
| c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f360,plain,
! [X0,X1] :
( ~ sQ57_spl
| c3_2(X0,a406)
| c3_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( sQ57_spl
| sQ53_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f129,f344,f359]) ).
fof(f363,definition,
! [X0,X1] :
( sQ58_spl
<=> ( ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f364,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ c5_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ54_spl
| sQ58_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f70,f129,f363,f347]) ).
fof(f367,plain,
( sQ55_spl
| sQ58_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f129,f363,f351]) ).
fof(f368,plain,
( sQ56_spl
| sQ58_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f129,f363,f355]) ).
fof(f369,plain,
( sQ57_spl
| sQ58_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f129,f363,f359]) ).
fof(f370,definition,
! [X0,X1] :
( sQ59_spl
<=> ( ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f371,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ c2_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ54_spl
| sQ59_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f129,f370,f347]) ).
fof(f374,plain,
( sQ55_spl
| sQ59_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f75,f129,f370,f351]) ).
fof(f375,plain,
( sQ56_spl
| sQ59_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f129,f370,f355]) ).
fof(f376,plain,
( sQ57_spl
| sQ59_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f129,f370,f359]) ).
fof(f377,definition,
! [X0,X1] :
( sQ60_spl
<=> ( ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f378,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ c1_2(X0,a405)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( sQ54_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f129,f377,f347]) ).
fof(f381,plain,
( sQ55_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f79,f129,f377,f351]) ).
fof(f382,plain,
( sQ56_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f80,f129,f377,f355]) ).
fof(f383,plain,
( sQ57_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f129,f377,f359]) ).
fof(f384,definition,
! [X0,X1,X2] :
( sQ61_spl
<=> ( c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f385,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| c2_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f388,definition,
( sQ62_spl
<=> ndr1_1(a407) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ62_spl
| ndr1_1(a407) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ62_spl
| ~ ndr1_1(a407) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f83,f388,f129,f384]) ).
fof(f392,definition,
( sQ63_spl
<=> c3_2(a407,a408) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ63_spl
| ~ c3_2(a407,a408) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ61_spl
| ~ sQ0_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f84,f392,f129,f384]) ).
fof(f396,definition,
( sQ64_spl
<=> c1_2(a407,a408) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ64_spl
| c1_2(a407,a408) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f396,f129,f384]) ).
fof(f400,definition,
( sQ65_spl
<=> c5_2(a407,a408) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ65_spl
| ~ c5_2(a407,a408) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ61_spl
| ~ sQ0_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f400,f129,f384]) ).
fof(f404,definition,
( sQ66_spl
<=> c2_1(a407) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ66_spl
| c2_1(a407) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ66_spl
| ~ c2_1(a407) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ61_spl
| ~ sQ0_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f87,f404,f129,f384]) ).
fof(f409,definition,
( sQ67_spl
<=> c3_2(a407,a409) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ67_spl
| ~ c3_2(a407,a409) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( sQ61_spl
| ~ sQ0_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f89,f409,f129,f384]) ).
fof(f413,definition,
( sQ68_spl
<=> c1_2(a407,a409) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ68_spl
| c1_2(a407,a409) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f90,f413,f129,f384]) ).
fof(f417,definition,
( sQ69_spl
<=> c2_2(a407,a409) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ69_spl
| c2_2(a407,a409) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f91,f417,f129,f384]) ).
fof(f421,plain,
( ~ sQ3_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f92,f237,f138]) ).
fof(f422,definition,
! [X0] :
( sQ70_spl
<=> ( c4_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f423,plain,
! [X0] :
( ~ sQ70_spl
| c4_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( sQ17_spl
| sQ70_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f93,f135,f129,f422,f197]) ).
fof(f426,definition,
! [X0] :
( sQ71_spl
<=> ( c4_1(X0)
| c1_2(X0,a410) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f427,plain,
! [X0] :
( ~ sQ71_spl
| c4_1(X0)
| c1_2(X0,a410) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( sQ17_spl
| sQ71_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f94,f135,f129,f426,f197]) ).
fof(f430,definition,
! [X0] :
( sQ72_spl
<=> ( c4_1(X0)
| ~ c4_2(X0,a410) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f431,plain,
! [X0] :
( ~ sQ72_spl
| c4_1(X0)
| ~ c4_2(X0,a410) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ17_spl
| sQ72_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f95,f135,f129,f430,f197]) ).
fof(f434,definition,
! [X0] :
( sQ73_spl
<=> ( c4_1(X0)
| c2_2(X0,a410) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f435,plain,
! [X0] :
( ~ sQ73_spl
| c4_1(X0)
| c2_2(X0,a410) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( sQ17_spl
| sQ73_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f96,f135,f129,f434,f197]) ).
fof(f438,plain,
( sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f107,f178,f129]) ).
fof(f439,definition,
( sQ74_spl
<=> c1_1(a390) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ74_spl
| c1_1(a390) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( ~ sQ74_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f108,f178,f439]) ).
fof(f443,definition,
( sQ75_spl
<=> ndr1_1(a390) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ75_spl
| ndr1_1(a390) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ75_spl
| ~ ndr1_1(a390) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
! [X0] :
( sQ76_spl
<=> ( c5_2(a390,X0)
| c1_2(a390,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f447,plain,
! [X0] :
( ~ sQ76_spl
| c5_2(a390,X0)
| c1_2(a390,X0) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ76_spl
| ~ sQ75_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f109,f178,f443,f446]) ).
fof(f450,plain,
( sQ75_spl
| sQ74_spl
| ~ sQ0_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f110,f178,f129,f439,f443]) ).
fof(f451,definition,
( sQ77_spl
<=> c1_2(a390,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ77_spl
| ~ c1_2(a390,sK0_skl) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ77_spl
| sQ74_spl
| ~ sQ0_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f111,f178,f129,f439,f451]) ).
fof(f455,definition,
( sQ78_spl
<=> c5_2(a390,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ78_spl
| ~ c5_2(a390,sK0_skl) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ78_spl
| sQ74_spl
| ~ sQ0_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f112,f178,f129,f439,f455]) ).
fof(f459,plain,
( sQ3_spl
| sQ0_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f114,f204,f129,f138]) ).
fof(f460,definition,
( sQ79_spl
<=> c5_1(a392) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ79_spl
| ~ c5_1(a392) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ3_spl
| sQ79_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f115,f204,f460,f138]) ).
fof(f464,definition,
( sQ80_spl
<=> c3_1(a392) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ80_spl
| ~ c3_1(a392) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( sQ3_spl
| sQ80_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f116,f204,f464,f138]) ).
fof(f468,definition,
( sQ81_spl
<=> c1_1(a392) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ81_spl
| c1_1(a392) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ81_spl
| ~ c1_1(a392) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ3_spl
| sQ81_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f117,f204,f468,f138]) ).
fof(f472,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| ~ sQ79_spl
| ~ sQ0_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f118,f204,f129,f460,f464,f468]) ).
fof(f473,plain,
( ~ sQ3_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f119,f204,f138]) ).
fof(f474,plain,
( sQ0_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f123,f298,f129]) ).
fof(f475,definition,
( sQ82_spl
<=> c2_1(a400) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ82_spl
| c2_1(a400) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( sQ82_spl
| ~ c2_1(a400) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ82_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f124,f298,f475]) ).
fof(f479,definition,
( sQ83_spl
<=> c1_1(a400) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ83_spl
| c1_1(a400) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ83_spl
| ~ c1_1(a400) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ sQ83_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f125,f298,f479]) ).
fof(f483,definition,
( sQ84_spl
<=> ndr1_1(a400) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ84_spl
| ndr1_1(a400) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ84_spl
| ~ ndr1_1(a400) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
! [X0] :
( sQ85_spl
<=> ~ c3_2(a400,X0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f487,plain,
! [X0] :
( ~ sQ85_spl
| ~ c3_2(a400,X0) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ85_spl
| ~ sQ84_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f126,f298,f483,f486]) ).
fof(f490,plain,
( sQ84_spl
| sQ83_spl
| ~ sQ82_spl
| ~ sQ0_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f127,f298,f129,f475,f479,f483]) ).
fof(f491,definition,
( sQ86_spl
<=> c3_2(a400,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ86_spl
| c3_2(a400,sK1_skl) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( sQ86_spl
| sQ83_spl
| ~ sQ82_spl
| ~ sQ0_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f128,f298,f129,f475,f479,f491]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| c2_2(X0,X2)
| ~ c4_2(X0,X2)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f385]) ).
fof(f496,plain,
! [X0] :
( ~ sQ4_spl
| c2_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f99]) ).
fof(f497,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f492,f487]) ).
fof(f498,plain,
( ~ sQ86_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( ~ sQ76_spl
| ~ sQ9_spl
| c5_2(a390,a388)
| c2_1(a390)
| sP0_prd(a390) ),
inference(resolution,[status(thm)],[f164,f447]) ).
fof(f500,definition,
( sQ87_spl
<=> sP0_prd(a390) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ87_spl
| sP0_prd(a390) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ87_spl
| ~ sP0_prd(a390) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ88_spl
<=> c2_1(a390) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ88_spl
| c2_1(a390) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ89_spl
<=> c5_2(a390,a388) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ89_spl
| c5_2(a390,a388) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( ~ sQ76_spl
| ~ sQ9_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f499,f500,f503,f506,f163,f446]) ).
fof(f510,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ60_spl
| c5_2(a390,a405)
| c5_2(a390,X0)
| ~ c3_2(a390,X0)
| c2_2(a390,X0)
| ~ ndr1_1(a390)
| ~ c1_1(a390) ),
inference(resolution,[status(thm)],[f378,f447]) ).
fof(f511,definition,
! [X0] :
( sQ90_spl
<=> ( c5_2(a390,X0)
| ~ c3_2(a390,X0)
| c2_2(a390,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f512,plain,
! [X0] :
( ~ sQ90_spl
| c5_2(a390,X0)
| ~ c3_2(a390,X0)
| c2_2(a390,X0) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ91_spl
<=> c5_2(a390,a405) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ91_spl
| c5_2(a390,a405) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( ~ sQ76_spl
| ~ sQ60_spl
| sQ91_spl
| sQ90_spl
| ~ sQ75_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f510,f439,f443,f511,f514,f377,f446]) ).
fof(f518,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| c2_1(X0)
| sP0_prd(X0)
| c5_1(X0)
| c1_2(X0,a388)
| ~ ndr1_1(X0)
| c3_1(X0) ),
inference(resolution,[status(thm)],[f176,f158]) ).
fof(f519,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ4_spl
| c2_1(X0)
| sP0_prd(X0)
| c5_1(X0)
| c1_2(X0,a388)
| c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f496]) ).
fof(f520,plain,
( ~ sQ8_spl
| ~ sQ90_spl
| c2_1(a390)
| sP0_prd(a390)
| c5_2(a390,a388)
| c2_2(a390,a388) ),
inference(resolution,[status(thm)],[f512,f158]) ).
fof(f521,definition,
( sQ92_spl
<=> c2_2(a390,a388) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ92_spl
| c2_2(a390,a388) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ8_spl
| ~ sQ90_spl
| sQ88_spl
| sQ87_spl
| sQ89_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f520,f521,f506,f500,f503,f511,f157]) ).
fof(f525,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ4_spl
| c2_1(X0)
| sP0_prd(X0)
| c2_1(X0)
| sP0_prd(X0)
| c5_1(X0)
| c3_1(X0) ),
inference(resolution,[status(thm)],[f519,f164]) ).
fof(f526,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ4_spl
| c2_1(X0)
| sP0_prd(X0)
| c5_1(X0)
| c3_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f525]) ).
fof(f528,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ43_spl
| c1_1(a401)
| c4_2(a401,X0)
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(resolution,[status(thm)],[f303,f295]) ).
fof(f529,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ43_spl
| c4_2(a401,a406)
| c3_2(a401,X0)
| c1_2(a401,X0) ),
inference(resolution,[status(thm)],[f303,f352]) ).
fof(f530,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ43_spl
| c2_2(a401,a406)
| c3_2(a401,X0)
| c1_2(a401,X0) ),
inference(resolution,[status(thm)],[f303,f356]) ).
fof(f531,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ43_spl
| c3_2(a401,a406)
| c3_2(a401,X0)
| c1_2(a401,X0) ),
inference(resolution,[status(thm)],[f303,f360]) ).
fof(f532,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ43_spl
| c3_1(a401)
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(resolution,[status(thm)],[f303,f133]) ).
fof(f533,definition,
! [X0] :
( sQ93_spl
<=> ( c4_2(a401,X0)
| c2_2(a401,X0)
| c3_2(a401,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f534,plain,
! [X0] :
( ~ sQ93_spl
| c4_2(a401,X0)
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ94_spl
<=> c1_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ94_spl
| c1_1(a401) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ94_spl
| ~ c1_1(a401) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f528,f533,f536,f302,f294]) ).
fof(f540,definition,
! [X0] :
( sQ95_spl
<=> ( c3_2(a401,X0)
| c1_2(a401,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f541,plain,
! [X0] :
( ~ sQ95_spl
| c3_2(a401,X0)
| c1_2(a401,X0) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ96_spl
<=> c4_2(a401,a406) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ96_spl
| c4_2(a401,a406) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ55_spl
| ~ sQ43_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f529,f540,f543,f302,f351]) ).
fof(f547,definition,
( sQ97_spl
<=> c2_2(a401,a406) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ97_spl
| c2_2(a401,a406) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( ~ sQ56_spl
| ~ sQ43_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f530,f540,f547,f302,f355]) ).
fof(f551,definition,
( sQ98_spl
<=> c3_2(a401,a406) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ98_spl
| c3_2(a401,a406) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ57_spl
| ~ sQ43_spl
| sQ98_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f531,f540,f551,f302,f359]) ).
fof(f555,definition,
! [X0] :
( sQ99_spl
<=> ( c2_2(a401,X0)
| c3_2(a401,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f556,plain,
! [X0] :
( ~ sQ99_spl
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ100_spl
<=> c3_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ100_spl
| c3_1(a401) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f532,f555,f558,f302,f132]) ).
fof(f562,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ95_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401)
| c3_2(a401,a405) ),
inference(resolution,[status(thm)],[f541,f378]) ).
fof(f563,plain,
( ~ sQ9_spl
| ~ sQ95_spl
| c2_1(a401)
| sP0_prd(a401)
| c3_2(a401,a388) ),
inference(resolution,[status(thm)],[f541,f164]) ).
fof(f564,definition,
( sQ101_spl
<=> c3_2(a401,a405) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ101_spl
| c3_2(a401,a405) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
! [X0] :
( sQ102_spl
<=> ( c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f568,plain,
! [X0] :
( ~ sQ102_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ60_spl
| ~ sQ95_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f562,f564,f536,f302,f567,f540,f377]) ).
fof(f571,definition,
( sQ103_spl
<=> c3_2(a401,a388) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ103_spl
| c3_2(a401,a388) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ104_spl
<=> sP0_prd(a401) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ104_spl
| sP0_prd(a401) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ105_spl
<=> c2_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ105_spl
| c2_1(a401) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ sQ9_spl
| ~ sQ95_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f563,f571,f574,f577,f540,f163]) ).
fof(f581,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ99_spl
| c5_2(a401,X0)
| c2_2(a401,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f556]) ).
fof(f582,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ99_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401)
| c3_2(a401,a405) ),
inference(resolution,[status(thm)],[f556,f371]) ).
fof(f583,plain,
( ~ sQ59_spl
| ~ sQ99_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f582,f564,f536,f302,f567,f555,f370]) ).
fof(f586,definition,
( sQ106_spl
<=> c2_2(a401,a405) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ106_spl
| c2_2(a401,a405) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f590,definition,
( sQ107_spl
<=> c2_2(a401,a387) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ107_spl
| c2_2(a401,a387) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f597,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ20_spl
| c1_1(a393)
| c4_2(a393,X0)
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(resolution,[status(thm)],[f209,f295]) ).
fof(f598,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ20_spl
| c4_2(a393,a406)
| c3_2(a393,X0)
| c1_2(a393,X0) ),
inference(resolution,[status(thm)],[f209,f352]) ).
fof(f599,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ20_spl
| c2_2(a393,a406)
| c3_2(a393,X0)
| c1_2(a393,X0) ),
inference(resolution,[status(thm)],[f209,f356]) ).
fof(f600,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ20_spl
| c3_2(a393,a406)
| c3_2(a393,X0)
| c1_2(a393,X0) ),
inference(resolution,[status(thm)],[f209,f360]) ).
fof(f601,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ20_spl
| c3_1(a393)
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(resolution,[status(thm)],[f209,f133]) ).
fof(f602,definition,
! [X0] :
( sQ109_spl
<=> ( c4_2(a393,X0)
| c2_2(a393,X0)
| c3_2(a393,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f603,plain,
! [X0] :
( ~ sQ109_spl
| c4_2(a393,X0)
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ110_spl
<=> c1_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ110_spl
| c1_1(a393) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ110_spl
| ~ c1_1(a393) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f597,f602,f605,f208,f294]) ).
fof(f609,definition,
! [X0] :
( sQ111_spl
<=> ( c3_2(a393,X0)
| c1_2(a393,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f610,plain,
! [X0] :
( ~ sQ111_spl
| c3_2(a393,X0)
| c1_2(a393,X0) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ112_spl
<=> c4_2(a393,a406) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ112_spl
| c4_2(a393,a406) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( ~ sQ55_spl
| ~ sQ20_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f598,f609,f612,f208,f351]) ).
fof(f616,definition,
( sQ113_spl
<=> c2_2(a393,a406) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ113_spl
| c2_2(a393,a406) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ56_spl
| ~ sQ20_spl
| sQ113_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f599,f609,f616,f208,f355]) ).
fof(f620,definition,
( sQ114_spl
<=> c3_2(a393,a406) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ114_spl
| c3_2(a393,a406) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( ~ sQ57_spl
| ~ sQ20_spl
| sQ114_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f600,f609,f620,f208,f359]) ).
fof(f624,definition,
! [X0] :
( sQ115_spl
<=> ( c2_2(a393,X0)
| c3_2(a393,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0] :
( ~ sQ115_spl
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ1_spl
| ~ sQ20_spl
| sQ26_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f601,f624,f233,f208,f132]) ).
fof(f628,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ111_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393)
| c3_2(a393,a405) ),
inference(resolution,[status(thm)],[f610,f378]) ).
fof(f629,plain,
( ~ sQ9_spl
| ~ sQ111_spl
| c2_1(a393)
| sP0_prd(a393)
| c3_2(a393,a388) ),
inference(resolution,[status(thm)],[f610,f164]) ).
fof(f630,definition,
( sQ116_spl
<=> c3_2(a393,a405) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ116_spl
| c3_2(a393,a405) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
! [X0] :
( sQ117_spl
<=> ( c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f634,plain,
! [X0] :
( ~ sQ117_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( ~ sQ60_spl
| ~ sQ111_spl
| sQ117_spl
| ~ sQ20_spl
| ~ sQ110_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f628,f630,f605,f208,f633,f609,f377]) ).
fof(f637,definition,
( sQ118_spl
<=> c3_2(a393,a388) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ118_spl
| c3_2(a393,a388) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ119_spl
<=> sP0_prd(a393) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ119_spl
| sP0_prd(a393) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ120_spl
<=> c2_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ120_spl
| c2_1(a393) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ9_spl
| ~ sQ111_spl
| sQ120_spl
| sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f629,f637,f640,f643,f609,f163]) ).
fof(f647,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ115_spl
| c5_2(a393,X0)
| c2_2(a393,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f625]) ).
fof(f648,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ115_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393)
| c3_2(a393,a405) ),
inference(resolution,[status(thm)],[f625,f371]) ).
fof(f649,plain,
( ~ sQ59_spl
| ~ sQ115_spl
| sQ117_spl
| ~ sQ20_spl
| ~ sQ110_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f648,f630,f605,f208,f633,f624,f370]) ).
fof(f652,definition,
( sQ121_spl
<=> c2_2(a393,a405) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ121_spl
| c2_2(a393,a405) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f656,definition,
( sQ122_spl
<=> c2_2(a393,a387) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ122_spl
| c2_2(a393,a387) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f663,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ6_spl
| c2_1(X0)
| sP0_prd(X0)
| c3_1(X0)
| c1_2(X0,a389)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[f150,f526]) ).
fof(f664,plain,
( ~ sQ95_spl
| sQ45_spl
| c3_2(a401,a402) ),
inference(resolution,[status(thm)],[f312,f541]) ).
fof(f665,plain,
( ~ sQ115_spl
| sQ21_spl
| c3_2(a393,a394) ),
inference(resolution,[status(thm)],[f214,f625]) ).
fof(f666,plain,
( ~ sQ115_spl
| sQ21_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f218]) ).
fof(f667,plain,
( ~ sQ115_spl
| sQ21_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ109_spl
| c2_2(a393,X0)
| c1_2(a393,X1)
| c2_2(a393,X1)
| ~ ndr1_1(a393)
| c5_1(a393)
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(resolution,[status(thm)],[f603,f495]) ).
fof(f669,definition,
! [X0] :
( sQ124_spl
<=> ( c2_2(a393,X0)
| c2_2(a393,X0)
| c3_2(a393,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f670,plain,
! [X0] :
( ~ sQ124_spl
| c2_2(a393,X0)
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ125_spl
<=> c5_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ125_spl
| c5_1(a393) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,definition,
! [X1] :
( sQ126_spl
<=> ( c1_2(a393,X1)
| c2_2(a393,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f676,plain,
! [X0] :
( ~ sQ126_spl
| c1_2(a393,X0)
| c2_2(a393,X0) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( ~ sQ61_spl
| ~ sQ109_spl
| sQ126_spl
| ~ sQ20_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f668,f669,f672,f208,f675,f602,f384]) ).
fof(f679,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ124_spl
| c5_2(a393,X0)
| c2_2(a393,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f634,f680]) ).
fof(f680,plain,
! [X0] :
( ~ sQ124_spl
| c2_2(a393,X0)
| c3_2(a393,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f670]) ).
fof(f681,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ126_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393)
| c2_2(a393,a405) ),
inference(resolution,[status(thm)],[f676,f378]) ).
fof(f682,plain,
( ~ sQ9_spl
| ~ sQ126_spl
| c2_1(a393)
| sP0_prd(a393)
| c2_2(a393,a388) ),
inference(resolution,[status(thm)],[f676,f164]) ).
fof(f683,plain,
( ~ sQ60_spl
| ~ sQ126_spl
| sQ117_spl
| ~ sQ20_spl
| ~ sQ110_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f681,f652,f605,f208,f633,f675,f377]) ).
fof(f684,definition,
( sQ127_spl
<=> c2_2(a393,a388) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ127_spl
| c2_2(a393,a388) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( ~ sQ9_spl
| ~ sQ126_spl
| sQ120_spl
| sQ119_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f682,f684,f640,f643,f675,f163]) ).
fof(f688,plain,
( sQ21_spl
| ~ sQ124_spl
| c3_2(a393,a394) ),
inference(resolution,[status(thm)],[f680,f214]) ).
fof(f689,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ124_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393)
| c3_2(a393,a405) ),
inference(resolution,[status(thm)],[f680,f371]) ).
fof(f690,plain,
( sQ21_spl
| ~ sQ124_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f218]) ).
fof(f691,plain,
( sQ21_spl
| ~ sQ124_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| c5_1(a393)
| c4_1(a393) ),
inference(resolution,[status(thm)],[f234,f279]) ).
fof(f693,plain,
( ~ sQ47_spl
| ~ sQ26_spl
| c1_1(a393)
| c2_1(a393) ),
inference(resolution,[status(thm)],[f234,f319]) ).
fof(f694,definition,
( sQ128_spl
<=> c4_1(a393) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ128_spl
| c4_1(a393) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| sQ125_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f692,f694,f672,f233,f278]) ).
fof(f698,plain,
( ~ sQ47_spl
| ~ sQ26_spl
| sQ110_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f693,f643,f605,f233,f318]) ).
fof(f699,plain,
( ~ sQ4_spl
| sQ66_spl
| ndr1_1(a407) ),
inference(resolution,[status(thm)],[f406,f496]) ).
fof(f700,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ62_spl
| c4_2(a407,a406)
| c3_2(a407,X0)
| c1_2(a407,X0) ),
inference(resolution,[status(thm)],[f389,f352]) ).
fof(f701,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ62_spl
| c2_2(a407,a406)
| c3_2(a407,X0)
| c1_2(a407,X0) ),
inference(resolution,[status(thm)],[f389,f356]) ).
fof(f702,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ62_spl
| c3_2(a407,a406)
| c3_2(a407,X0)
| c1_2(a407,X0) ),
inference(resolution,[status(thm)],[f389,f360]) ).
fof(f703,definition,
! [X0] :
( sQ129_spl
<=> ( c3_2(a407,X0)
| c1_2(a407,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f704,plain,
! [X0] :
( ~ sQ129_spl
| c3_2(a407,X0)
| c1_2(a407,X0) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ130_spl
<=> c4_2(a407,a406) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ130_spl
| c4_2(a407,a406) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( ~ sQ55_spl
| ~ sQ62_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f700,f703,f706,f388,f351]) ).
fof(f710,definition,
( sQ131_spl
<=> c2_2(a407,a406) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ131_spl
| c2_2(a407,a406) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( ~ sQ56_spl
| ~ sQ62_spl
| sQ131_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f701,f703,f710,f388,f355]) ).
fof(f714,definition,
( sQ132_spl
<=> c3_2(a407,a406) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ132_spl
| c3_2(a407,a406) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ57_spl
| ~ sQ62_spl
| sQ132_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f702,f703,f714,f388,f359]) ).
fof(f718,plain,
( ~ sQ4_spl
| sQ66_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f699,f388,f404,f142]) ).
fof(f719,plain,
( ~ sQ111_spl
| sQ24_spl
| c3_2(a393,a395) ),
inference(resolution,[status(thm)],[f227,f610]) ).
fof(f720,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ49_spl
| c4_2(a403,a406)
| c3_2(a403,X0)
| c1_2(a403,X0) ),
inference(resolution,[status(thm)],[f327,f352]) ).
fof(f721,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ49_spl
| c2_2(a403,a406)
| c3_2(a403,X0)
| c1_2(a403,X0) ),
inference(resolution,[status(thm)],[f327,f356]) ).
fof(f722,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ49_spl
| c3_2(a403,a406)
| c3_2(a403,X0)
| c1_2(a403,X0) ),
inference(resolution,[status(thm)],[f327,f360]) ).
fof(f723,definition,
! [X0] :
( sQ133_spl
<=> ( c3_2(a403,X0)
| c1_2(a403,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f724,plain,
! [X0] :
( ~ sQ133_spl
| c3_2(a403,X0)
| c1_2(a403,X0) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ134_spl
<=> c4_2(a403,a406) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ134_spl
| c4_2(a403,a406) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( ~ sQ55_spl
| ~ sQ49_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f720,f723,f726,f326,f351]) ).
fof(f730,definition,
( sQ135_spl
<=> c2_2(a403,a406) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ135_spl
| c2_2(a403,a406) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,plain,
( ~ sQ56_spl
| ~ sQ49_spl
| sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f721,f723,f730,f326,f355]) ).
fof(f734,definition,
( sQ136_spl
<=> c3_2(a403,a406) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ136_spl
| c3_2(a403,a406) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| sQ136_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f722,f723,f734,f326,f359]) ).
fof(f738,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ129_spl
| c5_2(a407,X0)
| ~ c3_2(a407,X0)
| c2_2(a407,X0)
| ~ ndr1_1(a407)
| ~ c1_1(a407)
| c3_2(a407,a405) ),
inference(resolution,[status(thm)],[f704,f378]) ).
fof(f739,definition,
( sQ137_spl
<=> c3_2(a407,a405) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ137_spl
| c3_2(a407,a405) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ138_spl
<=> c1_1(a407) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( sQ138_spl
| ~ c1_1(a407) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
! [X0] :
( sQ139_spl
<=> ( c5_2(a407,X0)
| ~ c3_2(a407,X0)
| c2_2(a407,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f746,plain,
! [X0] :
( ~ sQ139_spl
| c5_2(a407,X0)
| ~ c3_2(a407,X0)
| c2_2(a407,X0) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ60_spl
| ~ sQ129_spl
| sQ139_spl
| ~ sQ62_spl
| ~ sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f738,f739,f742,f388,f745,f703,f377]) ).
fof(f749,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ133_spl
| c5_2(a403,X0)
| ~ c3_2(a403,X0)
| c2_2(a403,X0)
| ~ ndr1_1(a403)
| ~ c1_1(a403)
| c3_2(a403,a405) ),
inference(resolution,[status(thm)],[f724,f378]) ).
fof(f750,definition,
( sQ140_spl
<=> c3_2(a403,a405) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ140_spl
| c3_2(a403,a405) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
! [X0] :
( sQ141_spl
<=> ( c5_2(a403,X0)
| ~ c3_2(a403,X0)
| c2_2(a403,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f754,plain,
! [X0] :
( ~ sQ141_spl
| c5_2(a403,X0)
| ~ c3_2(a403,X0)
| c2_2(a403,X0) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sQ60_spl
| ~ sQ133_spl
| sQ141_spl
| ~ sQ49_spl
| ~ sQ48_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f749,f750,f322,f326,f753,f723,f377]) ).
fof(f759,plain,
( ~ sQ8_spl
| ~ sQ117_spl
| c2_1(a393)
| sP0_prd(a393)
| c5_2(a393,a388)
| c2_2(a393,a388) ),
inference(resolution,[status(thm)],[f634,f158]) ).
fof(f760,definition,
( sQ142_spl
<=> c5_2(a393,a388) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ142_spl
| c5_2(a393,a388) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( ~ sQ8_spl
| ~ sQ117_spl
| sQ120_spl
| sQ119_spl
| sQ142_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f759,f684,f760,f640,f643,f633,f157]) ).
fof(f764,plain,
( ~ sQ20_spl
| ~ sQ8_spl
| ~ sQ11_spl
| c2_1(a393)
| sP0_prd(a393)
| c5_1(a393)
| c1_2(a393,a388)
| c3_1(a393) ),
inference(resolution,[status(thm)],[f518,f209]) ).
fof(f765,plain,
( ~ sQ43_spl
| ~ sQ8_spl
| ~ sQ11_spl
| c2_1(a401)
| sP0_prd(a401)
| c5_1(a401)
| c1_2(a401,a388)
| c3_1(a401) ),
inference(resolution,[status(thm)],[f518,f303]) ).
fof(f766,definition,
( sQ143_spl
<=> c1_2(a393,a388) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ143_spl
| c1_2(a393,a388) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( ~ sQ20_spl
| ~ sQ8_spl
| ~ sQ11_spl
| sQ120_spl
| sQ119_spl
| sQ125_spl
| sQ143_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f764,f233,f766,f672,f640,f643,f175,f157,f208]) ).
fof(f770,definition,
( sQ144_spl
<=> c1_2(a401,a388) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ144_spl
| c1_2(a401,a388) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ145_spl
<=> c5_1(a401) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ145_spl
| c5_1(a401) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ43_spl
| ~ sQ8_spl
| ~ sQ11_spl
| sQ105_spl
| sQ104_spl
| sQ145_spl
| sQ144_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f765,f558,f770,f773,f574,f577,f175,f157,f302]) ).
fof(f777,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| c2_2(a393,a410)
| c3_2(a393,a410)
| c4_1(a393) ),
inference(resolution,[status(thm)],[f431,f603]) ).
fof(f778,definition,
( sQ146_spl
<=> c3_2(a393,a410) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ146_spl
| c3_2(a393,a410) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ147_spl
<=> c2_2(a393,a410) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ147_spl
| c2_2(a393,a410) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| sQ147_spl
| sQ146_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f777,f694,f778,f781,f430,f602]) ).
fof(f785,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ30_spl
| c4_2(a396,a406)
| c3_2(a396,X0)
| c1_2(a396,X0) ),
inference(resolution,[status(thm)],[f250,f352]) ).
fof(f786,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ30_spl
| c2_2(a396,a406)
| c3_2(a396,X0)
| c1_2(a396,X0) ),
inference(resolution,[status(thm)],[f250,f356]) ).
fof(f787,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ30_spl
| c3_2(a396,a406)
| c3_2(a396,X0)
| c1_2(a396,X0) ),
inference(resolution,[status(thm)],[f250,f360]) ).
fof(f788,definition,
! [X0] :
( sQ148_spl
<=> ( c3_2(a396,X0)
| c1_2(a396,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f789,plain,
! [X0] :
( ~ sQ148_spl
| c3_2(a396,X0)
| c1_2(a396,X0) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ149_spl
<=> c4_2(a396,a406) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ149_spl
| c4_2(a396,a406) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f785,f788,f791,f249,f351]) ).
fof(f795,definition,
( sQ150_spl
<=> c2_2(a396,a406) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ150_spl
| c2_2(a396,a406) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,plain,
( ~ sQ56_spl
| ~ sQ30_spl
| sQ150_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f786,f788,f795,f249,f355]) ).
fof(f799,definition,
( sQ151_spl
<=> c3_2(a396,a406) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ151_spl
| c3_2(a396,a406) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( ~ sQ57_spl
| ~ sQ30_spl
| sQ151_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f787,f788,f799,f249,f359]) ).
fof(f803,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ148_spl
| c5_2(a396,X0)
| ~ c3_2(a396,X0)
| c2_2(a396,X0)
| ~ ndr1_1(a396)
| ~ c1_1(a396)
| c3_2(a396,a405) ),
inference(resolution,[status(thm)],[f789,f378]) ).
fof(f804,definition,
( sQ152_spl
<=> c3_2(a396,a405) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ152_spl
| c3_2(a396,a405) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ153_spl
<=> c1_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( sQ153_spl
| ~ c1_1(a396) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
! [X0] :
( sQ154_spl
<=> ( c5_2(a396,X0)
| ~ c3_2(a396,X0)
| c2_2(a396,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f811,plain,
! [X0] :
( ~ sQ154_spl
| c5_2(a396,X0)
| ~ c3_2(a396,X0)
| c2_2(a396,X0) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ60_spl
| ~ sQ148_spl
| sQ154_spl
| ~ sQ30_spl
| ~ sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f803,f804,f807,f249,f810,f788,f377]) ).
fof(f814,plain,
( ~ sQ141_spl
| ~ sQ50_spl
| c5_2(a403,a404)
| c2_2(a403,a404) ),
inference(resolution,[status(thm)],[f331,f754]) ).
fof(f815,plain,
( ~ sQ11_spl
| ~ sQ50_spl
| c5_1(a403)
| c1_2(a403,a404)
| ~ ndr1_1(a403)
| c3_1(a403) ),
inference(resolution,[status(thm)],[f331,f176]) ).
fof(f816,definition,
( sQ155_spl
<=> c2_2(a403,a404) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ155_spl
| c2_2(a403,a404) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ156_spl
<=> c5_2(a403,a404) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ156_spl
| c5_2(a403,a404) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( ~ sQ141_spl
| ~ sQ50_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f814,f816,f819,f330,f753]) ).
fof(f823,definition,
( sQ157_spl
<=> c3_1(a403) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ157_spl
| c3_1(a403) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ158_spl
<=> c1_2(a403,a404) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ158_spl
| c1_2(a403,a404) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ159_spl
<=> c5_1(a403) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ159_spl
| c5_1(a403) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f831,plain,
( sQ159_spl
| ~ c5_1(a403) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ11_spl
| ~ sQ50_spl
| sQ159_spl
| sQ158_spl
| ~ sQ49_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f815,f823,f326,f826,f829,f330,f175]) ).
fof(f833,plain,
( ~ sQ87_spl
| c3_2(a390,a387) ),
inference(resolution,[status(thm)],[f501,f102]) ).
fof(f834,plain,
( ~ sQ87_spl
| c2_2(a390,a387) ),
inference(resolution,[status(thm)],[f501,f101]) ).
fof(f835,plain,
( ~ sQ87_spl
| c5_2(a390,a387) ),
inference(resolution,[status(thm)],[f501,f100]) ).
fof(f836,plain,
( ~ sQ87_spl
| ndr1_1(a390) ),
inference(resolution,[status(thm)],[f501,f99]) ).
fof(f837,plain,
( ~ sQ87_spl
| sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f445]) ).
fof(f838,plain,
( ~ sQ87_spl
| sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( ~ sQ37_spl
| ~ sQ100_spl
| c5_1(a401)
| c4_1(a401) ),
inference(resolution,[status(thm)],[f559,f279]) ).
fof(f840,plain,
( ~ sQ47_spl
| ~ sQ100_spl
| c1_1(a401)
| c2_1(a401) ),
inference(resolution,[status(thm)],[f559,f319]) ).
fof(f841,plain,
( ~ sQ37_spl
| ~ sQ100_spl
| sQ145_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f839,f314,f773,f558,f278]) ).
fof(f842,plain,
( ~ sQ47_spl
| ~ sQ100_spl
| sQ94_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f840,f577,f536,f558,f318]) ).
fof(f843,plain,
( ~ sQ104_spl
| c3_2(a401,a387) ),
inference(resolution,[status(thm)],[f575,f102]) ).
fof(f844,plain,
( ~ sQ104_spl
| c2_2(a401,a387) ),
inference(resolution,[status(thm)],[f575,f101]) ).
fof(f845,plain,
( ~ sQ104_spl
| c5_2(a401,a387) ),
inference(resolution,[status(thm)],[f575,f100]) ).
fof(f846,plain,
( ~ sQ104_spl
| ndr1_1(a401) ),
inference(resolution,[status(thm)],[f575,f99]) ).
fof(f847,plain,
( ~ sQ71_spl
| ~ sQ40_spl
| c4_1(a399)
| ~ c5_2(a399,a410)
| ~ c2_2(a399,a410) ),
inference(resolution,[status(thm)],[f291,f427]) ).
fof(f848,definition,
( sQ160_spl
<=> c2_2(a399,a410) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( sQ160_spl
| ~ c2_2(a399,a410) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ161_spl
<=> c5_2(a399,a410) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( sQ161_spl
| ~ c5_2(a399,a410) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ162_spl
<=> c4_1(a399) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ162_spl
| c4_1(a399) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( ~ sQ71_spl
| ~ sQ40_spl
| sQ162_spl
| ~ sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f847,f848,f851,f854,f290,f426]) ).
fof(f858,plain,
( ~ sQ81_spl
| ~ sQ36_spl
| c3_2(a392,a398)
| ~ c3_1(a392) ),
inference(resolution,[status(thm)],[f273,f469]) ).
fof(f859,plain,
( ~ sQ83_spl
| ~ sQ36_spl
| c3_2(a400,a398)
| ~ c3_1(a400) ),
inference(resolution,[status(thm)],[f273,f480]) ).
fof(f860,plain,
( ~ sQ74_spl
| ~ sQ36_spl
| c3_2(a390,a398)
| ~ c3_1(a390) ),
inference(resolution,[status(thm)],[f273,f440]) ).
fof(f861,plain,
( ~ sQ48_spl
| ~ sQ36_spl
| c3_2(a403,a398)
| ~ c3_1(a403) ),
inference(resolution,[status(thm)],[f273,f323]) ).
fof(f862,definition,
( sQ163_spl
<=> c3_2(a392,a398) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ163_spl
| c3_2(a392,a398) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ81_spl
| ~ sQ36_spl
| sQ163_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f858,f464,f862,f272,f468]) ).
fof(f866,definition,
( sQ164_spl
<=> c3_1(a400) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( sQ164_spl
| ~ c3_1(a400) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ165_spl
<=> c3_2(a400,a398) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ165_spl
| c3_2(a400,a398) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( ~ sQ83_spl
| ~ sQ36_spl
| sQ165_spl
| ~ sQ164_spl ),
inference(split_clause,[status(thm)],[f859,f866,f869,f272,f479]) ).
fof(f873,definition,
( sQ166_spl
<=> c3_1(a390) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ166_spl
| ~ c3_1(a390) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ167_spl
<=> c3_2(a390,a398) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ167_spl
| c3_2(a390,a398) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ74_spl
| ~ sQ36_spl
| sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f860,f873,f876,f272,f439]) ).
fof(f880,definition,
( sQ168_spl
<=> c3_2(a403,a398) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ168_spl
| c3_2(a403,a398) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( ~ sQ48_spl
| ~ sQ36_spl
| sQ168_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f861,f823,f880,f272,f322]) ).
fof(f884,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ sQ93_spl
| c2_2(a401,X0)
| c1_2(a401,X1)
| c2_2(a401,X1)
| ~ ndr1_1(a401)
| c5_1(a401)
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(resolution,[status(thm)],[f534,f495]) ).
fof(f885,definition,
! [X0] :
( sQ169_spl
<=> ( c2_2(a401,X0)
| c2_2(a401,X0)
| c3_2(a401,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f886,plain,
! [X0] :
( ~ sQ169_spl
| c2_2(a401,X0)
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,definition,
! [X1] :
( sQ170_spl
<=> ( c1_2(a401,X1)
| c2_2(a401,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f889,plain,
! [X0] :
( ~ sQ170_spl
| c1_2(a401,X0)
| c2_2(a401,X0) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ61_spl
| ~ sQ93_spl
| sQ170_spl
| ~ sQ43_spl
| sQ145_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f884,f885,f773,f302,f888,f533,f384]) ).
fof(f892,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ169_spl
| c5_2(a401,X0)
| c2_2(a401,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f568,f893]) ).
fof(f893,plain,
! [X0] :
( ~ sQ169_spl
| c2_2(a401,X0)
| c3_2(a401,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f886]) ).
fof(f894,plain,
( sQ45_spl
| ~ sQ170_spl
| c2_2(a401,a402) ),
inference(resolution,[status(thm)],[f889,f312]) ).
fof(f895,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ170_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401)
| c2_2(a401,a405) ),
inference(resolution,[status(thm)],[f889,f378]) ).
fof(f896,plain,
( ~ sQ60_spl
| ~ sQ170_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f895,f586,f536,f302,f567,f888,f377]) ).
fof(f897,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ169_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401)
| c3_2(a401,a405) ),
inference(resolution,[status(thm)],[f893,f371]) ).
fof(f898,plain,
( ~ sQ59_spl
| ~ sQ169_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f897,f564,f536,f302,f567,f885,f370]) ).
fof(f899,plain,
( ~ sQ74_spl
| ~ sQ35_spl
| ndr1_1(a390)
| ~ c3_1(a390) ),
inference(resolution,[status(thm)],[f269,f440]) ).
fof(f900,plain,
( ~ sQ74_spl
| ~ sQ35_spl
| sQ75_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f899,f873,f443,f268,f439]) ).
fof(f901,plain,
( ~ sQ154_spl
| ~ sQ33_spl
| c5_2(a396,a397)
| c2_2(a396,a397) ),
inference(resolution,[status(thm)],[f262,f811]) ).
fof(f902,definition,
( sQ171_spl
<=> c2_2(a396,a397) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ171_spl
| c2_2(a396,a397) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ154_spl
| ~ sQ33_spl
| sQ31_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f901,f902,f253,f261,f810]) ).
fof(f906,plain,
( ~ sQ119_spl
| c3_2(a393,a387) ),
inference(resolution,[status(thm)],[f641,f102]) ).
fof(f907,plain,
( ~ sQ119_spl
| c2_2(a393,a387) ),
inference(resolution,[status(thm)],[f641,f101]) ).
fof(f908,plain,
( ~ sQ119_spl
| c5_2(a393,a387) ),
inference(resolution,[status(thm)],[f641,f100]) ).
fof(f909,plain,
( ~ sQ119_spl
| ndr1_1(a393) ),
inference(resolution,[status(thm)],[f641,f99]) ).
fof(f910,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| c1_2(a393,a389)
| ~ c1_1(a393) ),
inference(resolution,[status(thm)],[f673,f150]) ).
fof(f911,plain,
( ~ sQ5_spl
| ~ sQ125_spl
| ndr1_1(a393)
| ~ c1_1(a393) ),
inference(resolution,[status(thm)],[f673,f146]) ).
fof(f912,definition,
( sQ172_spl
<=> c1_2(a393,a389) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ172_spl
| c1_2(a393,a389) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| sQ172_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f910,f605,f912,f672,f149]) ).
fof(f916,plain,
( ~ sQ5_spl
| ~ sQ125_spl
| sQ20_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f911,f605,f208,f672,f145]) ).
fof(f917,plain,
( ~ sQ6_spl
| ~ sQ145_spl
| c1_2(a401,a389)
| ~ c1_1(a401) ),
inference(resolution,[status(thm)],[f774,f150]) ).
fof(f918,plain,
( ~ sQ5_spl
| ~ sQ145_spl
| ndr1_1(a401)
| ~ c1_1(a401) ),
inference(resolution,[status(thm)],[f774,f146]) ).
fof(f919,definition,
( sQ173_spl
<=> c1_2(a401,a389) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ173_spl
| c1_2(a401,a389) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( ~ sQ6_spl
| ~ sQ145_spl
| sQ173_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f917,f536,f919,f773,f149]) ).
fof(f923,plain,
( ~ sQ5_spl
| ~ sQ145_spl
| sQ43_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f918,f536,f302,f773,f145]) ).
fof(f924,plain,
( sQ82_spl
| ~ sQ4_spl
| ndr1_1(a400) ),
inference(resolution,[status(thm)],[f496,f477]) ).
fof(f925,plain,
( sQ38_spl
| ~ sQ4_spl
| ndr1_1(a399) ),
inference(resolution,[status(thm)],[f496,f285]) ).
fof(f926,plain,
( sQ38_spl
| ~ sQ4_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f289]) ).
fof(f927,plain,
( sQ38_spl
| ~ sQ4_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( ~ sQ6_spl
| ~ sQ159_spl
| c1_2(a403,a389)
| ~ c1_1(a403) ),
inference(resolution,[status(thm)],[f830,f150]) ).
fof(f929,plain,
( ~ sQ5_spl
| ~ sQ159_spl
| ndr1_1(a403)
| ~ c1_1(a403) ),
inference(resolution,[status(thm)],[f830,f146]) ).
fof(f930,definition,
( sQ174_spl
<=> c1_2(a403,a389) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ174_spl
| c1_2(a403,a389) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( ~ sQ6_spl
| ~ sQ159_spl
| sQ174_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f928,f322,f930,f829,f149]) ).
fof(f934,plain,
( ~ sQ5_spl
| ~ sQ159_spl
| sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f929,f322,f326,f829,f145]) ).
fof(f936,plain,
( ~ sQ102_spl
| ~ sQ8_spl
| c5_2(a401,a388)
| c2_2(a401,a388)
| c2_1(a401)
| sP0_prd(a401) ),
inference(resolution,[status(thm)],[f158,f568]) ).
fof(f937,plain,
( ~ sQ139_spl
| ~ sQ8_spl
| c5_2(a407,a388)
| c2_2(a407,a388)
| c2_1(a407)
| sP0_prd(a407) ),
inference(resolution,[status(thm)],[f158,f746]) ).
fof(f939,definition,
( sQ175_spl
<=> c2_2(a401,a388) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ175_spl
| c2_2(a401,a388) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ176_spl
<=> c5_2(a401,a388) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ176_spl
| c5_2(a401,a388) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( ~ sQ102_spl
| ~ sQ8_spl
| sQ176_spl
| sQ175_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f936,f574,f577,f939,f942,f157,f567]) ).
fof(f946,definition,
( sQ177_spl
<=> sP0_prd(a407) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ177_spl
| sP0_prd(a407) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,definition,
( sQ178_spl
<=> c2_2(a407,a388) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ178_spl
| c2_2(a407,a388) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,definition,
( sQ179_spl
<=> c5_2(a407,a388) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ179_spl
| c5_2(a407,a388) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,plain,
( ~ sQ139_spl
| ~ sQ8_spl
| sQ179_spl
| sQ178_spl
| sQ66_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f937,f946,f404,f949,f952,f157,f745]) ).
fof(f957,plain,
( ~ sQ148_spl
| ~ sQ9_spl
| c3_2(a396,a388)
| c2_1(a396)
| sP0_prd(a396) ),
inference(resolution,[status(thm)],[f164,f789]) ).
fof(f958,plain,
( ~ sQ133_spl
| ~ sQ9_spl
| c3_2(a403,a388)
| c2_1(a403)
| sP0_prd(a403) ),
inference(resolution,[status(thm)],[f164,f724]) ).
fof(f959,plain,
( ~ sQ129_spl
| ~ sQ9_spl
| c3_2(a407,a388)
| c2_1(a407)
| sP0_prd(a407) ),
inference(resolution,[status(thm)],[f164,f704]) ).
fof(f962,definition,
( sQ180_spl
<=> sP0_prd(a396) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ180_spl
| sP0_prd(a396) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ181_spl
<=> c2_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ181_spl
| c2_1(a396) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ182_spl
<=> c3_2(a396,a388) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ182_spl
| c3_2(a396,a388) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,plain,
( ~ sQ148_spl
| ~ sQ9_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f957,f962,f965,f968,f163,f788]) ).
fof(f972,definition,
( sQ183_spl
<=> sP0_prd(a403) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ183_spl
| sP0_prd(a403) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
( sQ184_spl
<=> c3_2(a403,a388) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ184_spl
| c3_2(a403,a388) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( ~ sQ133_spl
| ~ sQ9_spl
| sQ184_spl
| sQ52_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f958,f972,f338,f975,f163,f723]) ).
fof(f979,definition,
( sQ185_spl
<=> c3_2(a407,a388) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ185_spl
| c3_2(a407,a388) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ129_spl
| ~ sQ9_spl
| sQ185_spl
| sQ66_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f959,f946,f404,f979,f163,f703]) ).
fof(f988,plain,
( ~ sQ87_spl
| ndr1_1(a390) ),
inference(resolution,[status(thm)],[f501,f99]) ).
fof(f989,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ91_spl
| c5_2(a390,X0)
| ~ c3_2(a390,X0)
| c2_2(a390,X0)
| ~ ndr1_1(a390)
| ~ c1_1(a390) ),
inference(resolution,[status(thm)],[f515,f364]) ).
fof(f990,plain,
( ~ sQ58_spl
| ~ sQ91_spl
| sQ90_spl
| ~ sQ75_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f989,f439,f443,f511,f514,f363]) ).
fof(f993,plain,
( ~ sQ102_spl
| ~ sQ98_spl
| c5_2(a401,a406)
| c2_2(a401,a406) ),
inference(resolution,[status(thm)],[f552,f568]) ).
fof(f994,definition,
( sQ186_spl
<=> c5_2(a401,a406) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ186_spl
| c5_2(a401,a406) ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,plain,
( ~ sQ102_spl
| ~ sQ98_spl
| sQ186_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f993,f547,f994,f551,f567]) ).
fof(f998,plain,
( ~ sQ177_spl
| c3_2(a407,a387) ),
inference(resolution,[status(thm)],[f947,f102]) ).
fof(f999,plain,
( ~ sQ177_spl
| c2_2(a407,a387) ),
inference(resolution,[status(thm)],[f947,f101]) ).
fof(f1000,plain,
( ~ sQ177_spl
| c5_2(a407,a387) ),
inference(resolution,[status(thm)],[f947,f100]) ).
fof(f1001,plain,
( ~ sQ177_spl
| ndr1_1(a407) ),
inference(resolution,[status(thm)],[f947,f99]) ).
fof(f1002,plain,
( ~ sQ183_spl
| c3_2(a403,a387) ),
inference(resolution,[status(thm)],[f973,f102]) ).
fof(f1003,plain,
( ~ sQ183_spl
| c2_2(a403,a387) ),
inference(resolution,[status(thm)],[f973,f101]) ).
fof(f1004,plain,
( ~ sQ183_spl
| c5_2(a403,a387) ),
inference(resolution,[status(thm)],[f973,f100]) ).
fof(f1005,plain,
( ~ sQ183_spl
| ndr1_1(a403) ),
inference(resolution,[status(thm)],[f973,f99]) ).
fof(f1006,plain,
( ~ sQ183_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1005,f326,f972]) ).
fof(f1007,plain,
( ~ sQ180_spl
| c3_2(a396,a387) ),
inference(resolution,[status(thm)],[f963,f102]) ).
fof(f1008,plain,
( ~ sQ180_spl
| c2_2(a396,a387) ),
inference(resolution,[status(thm)],[f963,f101]) ).
fof(f1009,plain,
( ~ sQ180_spl
| c5_2(a396,a387) ),
inference(resolution,[status(thm)],[f963,f100]) ).
fof(f1010,plain,
( ~ sQ180_spl
| ndr1_1(a396) ),
inference(resolution,[status(thm)],[f963,f99]) ).
fof(f1011,plain,
( ~ sQ180_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1010,f249,f962]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ96_spl
| c2_2(a401,a406)
| c1_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| c5_1(a401) ),
inference(resolution,[status(thm)],[f544,f495]) ).
fof(f1013,plain,
( ~ sQ61_spl
| ~ sQ96_spl
| sQ97_spl
| sQ170_spl
| ~ sQ43_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1012,f773,f302,f888,f547,f543,f384]) ).
fof(f1014,plain,
( sQ45_spl
| ~ sQ170_spl
| c2_2(a401,a402) ),
inference(resolution,[status(thm)],[f889,f312]) ).
fof(f1015,plain,
( ~ sQ9_spl
| ~ sQ170_spl
| c2_1(a401)
| sP0_prd(a401)
| c2_2(a401,a388) ),
inference(resolution,[status(thm)],[f889,f164]) ).
fof(f1017,plain,
( ~ sQ9_spl
| ~ sQ170_spl
| sQ105_spl
| sQ104_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1015,f939,f574,f577,f888,f163]) ).
fof(f1019,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| c5_2(a401,a388)
| c2_2(a401,a388) ),
inference(resolution,[status(thm)],[f572,f568]) ).
fof(f1020,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1019,f939,f942,f571,f567]) ).
fof(f1021,plain,
( ~ sQ117_spl
| ~ sQ114_spl
| c5_2(a393,a406)
| c2_2(a393,a406) ),
inference(resolution,[status(thm)],[f621,f634]) ).
fof(f1022,definition,
( sQ187_spl
<=> c5_2(a393,a406) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ187_spl
| c5_2(a393,a406) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,plain,
( ~ sQ117_spl
| ~ sQ114_spl
| sQ187_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1021,f616,f1022,f620,f633]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ112_spl
| c2_2(a393,a406)
| c1_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| c5_1(a393) ),
inference(resolution,[status(thm)],[f613,f495]) ).
fof(f1027,plain,
( ~ sQ61_spl
| ~ sQ112_spl
| sQ113_spl
| sQ126_spl
| ~ sQ20_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1026,f672,f208,f675,f616,f612,f384]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ130_spl
| c2_2(a407,a406)
| c1_2(a407,X0)
| c2_2(a407,X0)
| ~ ndr1_1(a407)
| c5_1(a407) ),
inference(resolution,[status(thm)],[f707,f495]) ).
fof(f1029,definition,
( sQ188_spl
<=> c5_1(a407) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ188_spl
| c5_1(a407) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1031,plain,
( sQ188_spl
| ~ c5_1(a407) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
! [X0] :
( sQ189_spl
<=> ( c1_2(a407,X0)
| c2_2(a407,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ189_spl
| c1_2(a407,X0)
| c2_2(a407,X0) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ61_spl
| ~ sQ130_spl
| sQ131_spl
| sQ189_spl
| ~ sQ62_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1028,f1029,f388,f1032,f710,f706,f384]) ).
fof(f1036,plain,
( ~ sQ9_spl
| ~ sQ189_spl
| c2_1(a407)
| sP0_prd(a407)
| c2_2(a407,a388) ),
inference(resolution,[status(thm)],[f1033,f164]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ189_spl
| c5_2(a407,X0)
| ~ c3_2(a407,X0)
| c2_2(a407,X0)
| ~ ndr1_1(a407)
| ~ c1_1(a407)
| c2_2(a407,a405) ),
inference(resolution,[status(thm)],[f1033,f378]) ).
fof(f1038,plain,
( ~ sQ9_spl
| ~ sQ189_spl
| sQ66_spl
| sQ177_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1036,f949,f946,f404,f1032,f163]) ).
fof(f1039,definition,
( sQ190_spl
<=> c2_2(a407,a405) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ190_spl
| c2_2(a407,a405) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( ~ sQ60_spl
| ~ sQ189_spl
| sQ139_spl
| ~ sQ62_spl
| ~ sQ138_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1037,f1039,f742,f388,f745,f1032,f377]) ).
fof(f1043,plain,
( ~ sQ132_spl
| ~ sQ139_spl
| c5_2(a407,a406)
| c2_2(a407,a406) ),
inference(resolution,[status(thm)],[f746,f715]) ).
fof(f1045,definition,
( sQ191_spl
<=> c5_2(a407,a406) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ191_spl
| c5_2(a407,a406) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( ~ sQ132_spl
| ~ sQ139_spl
| sQ191_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1043,f710,f1045,f745,f714]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ134_spl
| c2_2(a403,a406)
| c1_2(a403,X0)
| c2_2(a403,X0)
| ~ ndr1_1(a403)
| c5_1(a403) ),
inference(resolution,[status(thm)],[f727,f495]) ).
fof(f1051,definition,
! [X0] :
( sQ192_spl
<=> ( c1_2(a403,X0)
| c2_2(a403,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ192_spl
| c1_2(a403,X0)
| c2_2(a403,X0) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sQ61_spl
| ~ sQ134_spl
| sQ135_spl
| sQ192_spl
| ~ sQ49_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1050,f829,f326,f1051,f730,f726,f384]) ).
fof(f1055,plain,
( ~ sQ9_spl
| ~ sQ192_spl
| c2_1(a403)
| sP0_prd(a403)
| c2_2(a403,a388) ),
inference(resolution,[status(thm)],[f1052,f164]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ192_spl
| c5_2(a403,X0)
| ~ c3_2(a403,X0)
| c2_2(a403,X0)
| ~ ndr1_1(a403)
| ~ c1_1(a403)
| c2_2(a403,a405) ),
inference(resolution,[status(thm)],[f1052,f378]) ).
fof(f1057,definition,
( sQ193_spl
<=> c2_2(a403,a388) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ193_spl
| c2_2(a403,a388) ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,plain,
( ~ sQ9_spl
| ~ sQ192_spl
| sQ52_spl
| sQ183_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1055,f1057,f972,f338,f1051,f163]) ).
fof(f1061,definition,
( sQ194_spl
<=> c2_2(a403,a405) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( ~ sQ194_spl
| c2_2(a403,a405) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( ~ sQ60_spl
| ~ sQ192_spl
| sQ141_spl
| ~ sQ49_spl
| ~ sQ48_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1056,f1061,f322,f326,f753,f1051,f377]) ).
fof(f1065,plain,
( ~ sQ6_spl
| ~ sQ188_spl
| c1_2(a407,a389)
| ~ c1_1(a407) ),
inference(resolution,[status(thm)],[f1030,f150]) ).
fof(f1066,plain,
( ~ sQ5_spl
| ~ sQ188_spl
| ndr1_1(a407)
| ~ c1_1(a407) ),
inference(resolution,[status(thm)],[f1030,f146]) ).
fof(f1067,definition,
( sQ195_spl
<=> c1_2(a407,a389) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ195_spl
| c1_2(a407,a389) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ6_spl
| ~ sQ188_spl
| sQ195_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f1065,f742,f1067,f1029,f149]) ).
fof(f1071,plain,
( ~ sQ5_spl
| ~ sQ188_spl
| sQ62_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f1066,f742,f388,f1029,f145]) ).
fof(f1075,plain,
( ~ sQ183_spl
| ndr1_1(a403) ),
inference(resolution,[status(thm)],[f973,f99]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ149_spl
| c2_2(a396,a406)
| c1_2(a396,X0)
| c2_2(a396,X0)
| ~ ndr1_1(a396)
| c5_1(a396) ),
inference(resolution,[status(thm)],[f792,f495]) ).
fof(f1077,definition,
( sQ196_spl
<=> c5_1(a396) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ196_spl
| c5_1(a396) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,definition,
! [X0] :
( sQ197_spl
<=> ( c1_2(a396,X0)
| c2_2(a396,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ197_spl
| c1_2(a396,X0)
| c2_2(a396,X0) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( ~ sQ61_spl
| ~ sQ149_spl
| sQ150_spl
| sQ197_spl
| ~ sQ30_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1076,f1077,f249,f1080,f795,f791,f384]) ).
fof(f1084,plain,
( ~ sQ4_spl
| sQ66_spl
| ndr1_1(a407) ),
inference(resolution,[status(thm)],[f406,f496]) ).
fof(f1085,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| c5_2(a401,a405)
| c2_2(a401,a405) ),
inference(resolution,[status(thm)],[f565,f568]) ).
fof(f1086,definition,
( sQ198_spl
<=> c5_2(a401,a405) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ198_spl
| c5_2(a401,a405) ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| sQ198_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1085,f586,f1086,f564,f567]) ).
fof(f1090,plain,
( ~ sQ73_spl
| sQ160_spl
| c4_1(a399) ),
inference(resolution,[status(thm)],[f850,f435]) ).
fof(f1091,plain,
( ~ sQ9_spl
| ~ sQ197_spl
| c2_1(a396)
| sP0_prd(a396)
| c2_2(a396,a388) ),
inference(resolution,[status(thm)],[f1081,f164]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ197_spl
| c5_2(a396,X0)
| ~ c3_2(a396,X0)
| c2_2(a396,X0)
| ~ ndr1_1(a396)
| ~ c1_1(a396)
| c2_2(a396,a405) ),
inference(resolution,[status(thm)],[f1081,f378]) ).
fof(f1093,definition,
( sQ199_spl
<=> c2_2(a396,a388) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( ~ sQ199_spl
| c2_2(a396,a388) ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( ~ sQ9_spl
| ~ sQ197_spl
| sQ181_spl
| sQ180_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1091,f1093,f962,f965,f1080,f163]) ).
fof(f1097,definition,
( sQ200_spl
<=> c2_2(a396,a405) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( ~ sQ200_spl
| c2_2(a396,a405) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,plain,
( ~ sQ60_spl
| ~ sQ197_spl
| sQ154_spl
| ~ sQ30_spl
| ~ sQ153_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1092,f1097,f807,f249,f810,f1080,f377]) ).
fof(f1101,plain,
( ~ sQ136_spl
| ~ sQ141_spl
| c5_2(a403,a406)
| c2_2(a403,a406) ),
inference(resolution,[status(thm)],[f754,f735]) ).
fof(f1102,plain,
( ~ sQ8_spl
| ~ sQ141_spl
| c2_1(a403)
| sP0_prd(a403)
| c5_2(a403,a388)
| c2_2(a403,a388) ),
inference(resolution,[status(thm)],[f754,f158]) ).
fof(f1103,definition,
( sQ201_spl
<=> c5_2(a403,a406) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( ~ sQ201_spl
| c5_2(a403,a406) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1106,plain,
( ~ sQ136_spl
| ~ sQ141_spl
| sQ201_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1101,f730,f1103,f753,f734]) ).
fof(f1107,definition,
( sQ202_spl
<=> c5_2(a403,a388) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( ~ sQ202_spl
| c5_2(a403,a388) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,plain,
( ~ sQ8_spl
| ~ sQ141_spl
| sQ52_spl
| sQ183_spl
| sQ202_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1102,f1057,f1107,f972,f338,f753,f157]) ).
fof(f1111,plain,
( ~ sQ151_spl
| ~ sQ154_spl
| c5_2(a396,a406)
| c2_2(a396,a406) ),
inference(resolution,[status(thm)],[f811,f800]) ).
fof(f1112,plain,
( ~ sQ8_spl
| ~ sQ154_spl
| c2_1(a396)
| sP0_prd(a396)
| c5_2(a396,a388)
| c2_2(a396,a388) ),
inference(resolution,[status(thm)],[f811,f158]) ).
fof(f1113,definition,
( sQ203_spl
<=> c5_2(a396,a406) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
( ~ sQ203_spl
| c5_2(a396,a406) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ sQ151_spl
| ~ sQ154_spl
| sQ203_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1111,f795,f1113,f810,f799]) ).
fof(f1117,definition,
( sQ204_spl
<=> c5_2(a396,a388) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ204_spl
| c5_2(a396,a388) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( ~ sQ8_spl
| ~ sQ154_spl
| sQ181_spl
| sQ180_spl
| sQ204_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1112,f1093,f1117,f962,f965,f810,f157]) ).
fof(f1124,plain,
( ~ sQ180_spl
| ndr1_1(a396) ),
inference(resolution,[status(thm)],[f963,f99]) ).
fof(f1125,plain,
( ~ sQ90_spl
| ~ sQ167_spl
| c5_2(a390,a398)
| c2_2(a390,a398) ),
inference(resolution,[status(thm)],[f877,f512]) ).
fof(f1126,definition,
( sQ205_spl
<=> c2_2(a390,a398) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ205_spl
| c2_2(a390,a398) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,definition,
( sQ206_spl
<=> c5_2(a390,a398) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ206_spl
| c5_2(a390,a398) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ90_spl
| ~ sQ167_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1125,f1126,f1129,f876,f511]) ).
fof(f1133,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| c5_2(a393,a388)
| c2_2(a393,a388) ),
inference(resolution,[status(thm)],[f638,f634]) ).
fof(f1134,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| sQ142_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1133,f684,f760,f637,f633]) ).
fof(f1135,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| c5_2(a393,a405)
| c2_2(a393,a405) ),
inference(resolution,[status(thm)],[f631,f634]) ).
fof(f1136,definition,
( sQ207_spl
<=> c5_2(a393,a405) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1137,plain,
( ~ sQ207_spl
| c5_2(a393,a405) ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
( ~ sQ117_spl
| ~ sQ116_spl
| sQ207_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1135,f652,f1136,f630,f633]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ121_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393) ),
inference(resolution,[status(thm)],[f653,f371]) ).
fof(f1141,plain,
( ~ sQ59_spl
| ~ sQ121_spl
| sQ117_spl
| ~ sQ20_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1140,f605,f208,f633,f652,f370]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ55_spl
| c4_2(a399,a406)
| c3_2(a399,X0)
| c1_2(a399,X0) ),
inference(resolution,[status(thm)],[f352,f288]) ).
fof(f1158,definition,
! [X0] :
( sQ208_spl
<=> ( c3_2(a399,X0)
| c1_2(a399,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ208_spl
| c3_2(a399,X0)
| c1_2(a399,X0) ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ209_spl
<=> c4_2(a399,a406) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ209_spl
| c4_2(a399,a406) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| sQ209_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1152,f1158,f1161,f351,f287]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ56_spl
| c2_2(a399,a406)
| c3_2(a399,X0)
| c1_2(a399,X0) ),
inference(resolution,[status(thm)],[f356,f288]) ).
fof(f1176,definition,
( sQ210_spl
<=> c2_2(a399,a406) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( ~ sQ210_spl
| c2_2(a399,a406) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sQ39_spl
| ~ sQ56_spl
| sQ210_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1170,f1158,f1176,f355,f287]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ57_spl
| c3_2(a399,a406)
| c3_2(a399,X0)
| c1_2(a399,X0) ),
inference(resolution,[status(thm)],[f360,f288]) ).
fof(f1191,definition,
( sQ211_spl
<=> c3_2(a399,a406) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ211_spl
| c3_2(a399,a406) ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,plain,
( ~ sQ39_spl
| ~ sQ57_spl
| sQ211_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1185,f1158,f1191,f359,f287]) ).
fof(f1198,plain,
( ~ sQ9_spl
| ~ sQ208_spl
| c2_1(a399)
| sP0_prd(a399)
| c3_2(a399,a388) ),
inference(resolution,[status(thm)],[f1159,f164]) ).
fof(f1199,definition,
( sQ212_spl
<=> c3_2(a399,a388) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( ~ sQ212_spl
| c3_2(a399,a388) ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,definition,
( sQ213_spl
<=> sP0_prd(a399) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ213_spl
| sP0_prd(a399) ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( ~ sQ9_spl
| ~ sQ208_spl
| sQ38_spl
| sQ213_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1198,f1199,f1202,f283,f1158,f163]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ209_spl
| c2_2(a399,a406)
| c1_2(a399,X0)
| c2_2(a399,X0)
| ~ ndr1_1(a399)
| c5_1(a399) ),
inference(resolution,[status(thm)],[f1162,f495]) ).
fof(f1207,definition,
( sQ214_spl
<=> c5_1(a399) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( ~ sQ214_spl
| c5_1(a399) ),
inference(component_clause,[status(thm)],[f1207]) ).
fof(f1210,definition,
! [X0] :
( sQ215_spl
<=> ( c1_2(a399,X0)
| c2_2(a399,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ215_spl
| c1_2(a399,X0)
| c2_2(a399,X0) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,plain,
( ~ sQ61_spl
| ~ sQ209_spl
| sQ210_spl
| sQ215_spl
| ~ sQ39_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1206,f1207,f287,f1210,f1176,f1161,f384]) ).
fof(f1214,plain,
( ~ sQ9_spl
| ~ sQ215_spl
| c2_1(a399)
| sP0_prd(a399)
| c2_2(a399,a388) ),
inference(resolution,[status(thm)],[f1211,f164]) ).
fof(f1215,definition,
( sQ216_spl
<=> c2_2(a399,a388) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ216_spl
| c2_2(a399,a388) ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ sQ9_spl
| ~ sQ215_spl
| sQ38_spl
| sQ213_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1214,f1215,f1202,f283,f1210,f163]) ).
fof(f1219,plain,
( ~ sQ213_spl
| c3_2(a399,a387) ),
inference(resolution,[status(thm)],[f1203,f102]) ).
fof(f1220,plain,
( ~ sQ213_spl
| c2_2(a399,a387) ),
inference(resolution,[status(thm)],[f1203,f101]) ).
fof(f1221,plain,
( ~ sQ213_spl
| c5_2(a399,a387) ),
inference(resolution,[status(thm)],[f1203,f100]) ).
fof(f1222,plain,
( ~ sQ213_spl
| ndr1_1(a399) ),
inference(resolution,[status(thm)],[f1203,f99]) ).
fof(f1223,plain,
( ~ sQ117_spl
| ~ sQ111_spl
| sQ24_spl
| c5_2(a393,a395)
| c2_2(a393,a395) ),
inference(resolution,[status(thm)],[f719,f634]) ).
fof(f1224,definition,
( sQ217_spl
<=> c5_2(a393,a395) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ217_spl
| c5_2(a393,a395) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,plain,
( ~ sQ117_spl
| ~ sQ111_spl
| sQ24_spl
| sQ217_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1223,f229,f1224,f225,f609,f633]) ).
fof(f1228,plain,
( ~ sQ9_spl
| ~ sQ144_spl
| c2_1(a401)
| sP0_prd(a401) ),
inference(resolution,[status(thm)],[f771,f164]) ).
fof(f1229,plain,
( ~ sQ9_spl
| ~ sQ144_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1228,f574,f577,f770,f163]) ).
fof(f1230,plain,
( ~ sQ9_spl
| ~ sQ143_spl
| c2_1(a393)
| sP0_prd(a393) ),
inference(resolution,[status(thm)],[f767,f164]) ).
fof(f1231,plain,
( ~ sQ9_spl
| ~ sQ143_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1230,f640,f643,f766,f163]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ106_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401) ),
inference(resolution,[status(thm)],[f587,f371]) ).
fof(f1235,plain,
( ~ sQ59_spl
| ~ sQ106_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f1234,f536,f302,f567,f586,f370]) ).
fof(f1238,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| c5_2(a401,a387)
| c2_2(a401,a387) ),
inference(resolution,[status(thm)],[f568,f843]) ).
fof(f1239,plain,
( ~ sQ95_spl
| sQ45_spl
| ~ sQ102_spl
| c5_2(a401,a402)
| c2_2(a401,a402) ),
inference(resolution,[status(thm)],[f568,f664]) ).
fof(f1242,definition,
( sQ218_spl
<=> c5_2(a401,a387) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ218_spl
| c5_2(a401,a387) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| sQ218_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1238,f590,f1242,f567,f574]) ).
fof(f1246,definition,
( sQ219_spl
<=> c5_2(a401,a402) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ219_spl
| c5_2(a401,a402) ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ sQ95_spl
| sQ45_spl
| ~ sQ102_spl
| sQ219_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1239,f306,f1246,f567,f310,f540]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ198_spl
| c5_2(a401,X0)
| ~ c3_2(a401,X0)
| c2_2(a401,X0)
| ~ ndr1_1(a401)
| ~ c1_1(a401) ),
inference(resolution,[status(thm)],[f1087,f364]) ).
fof(f1269,plain,
( ~ sQ58_spl
| ~ sQ198_spl
| sQ102_spl
| ~ sQ43_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f1268,f536,f302,f567,f1086,f363]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ207_spl
| c5_2(a393,X0)
| ~ c3_2(a393,X0)
| c2_2(a393,X0)
| ~ ndr1_1(a393)
| ~ c1_1(a393) ),
inference(resolution,[status(thm)],[f1137,f364]) ).
fof(f1285,plain,
( ~ sQ58_spl
| ~ sQ207_spl
| sQ117_spl
| ~ sQ20_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1284,f605,f208,f633,f1136,f363]) ).
fof(f1286,plain,
( ~ sQ119_spl
| ~ sQ117_spl
| c5_2(a393,a387)
| c2_2(a393,a387) ),
inference(resolution,[status(thm)],[f634,f906]) ).
fof(f1287,plain,
( ~ sQ146_spl
| ~ sQ117_spl
| c5_2(a393,a410)
| c2_2(a393,a410) ),
inference(resolution,[status(thm)],[f634,f779]) ).
fof(f1292,definition,
( sQ226_spl
<=> c5_2(a393,a387) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ226_spl
| c5_2(a393,a387) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( ~ sQ119_spl
| ~ sQ117_spl
| sQ226_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1286,f656,f1292,f633,f640]) ).
fof(f1296,definition,
( sQ227_spl
<=> c5_2(a393,a410) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( ~ sQ227_spl
| c5_2(a393,a410) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,plain,
( ~ sQ146_spl
| ~ sQ117_spl
| sQ227_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1287,f781,f1296,f633,f778]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| sQ30_spl
| ~ sQ32_spl
| ~ sQ34_spl
| ~ sQ36_spl
| sQ37_spl
| sQ38_spl
| sQ39_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
| sQ73_spl
| sQ74_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ87_spl
| sQ88_spl
| sQ89_spl
| sQ90_spl
| sQ92_spl
| ~ sQ94_spl
| sQ95_spl
| sQ97_spl
| sQ101_spl
| sQ102_spl
| sQ104_spl
| sQ105_spl
| sQ106_spl
| sQ107_spl
| ~ sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| sQ113_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| sQ119_spl
| sQ120_spl
| sQ121_spl
| sQ122_spl
| ~ sQ124_spl
| sQ125_spl
| sQ127_spl
| sQ128_spl
| sQ129_spl
| sQ131_spl
| sQ133_spl
| sQ135_spl
| sQ137_spl
| ~ sQ138_spl
| sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| sQ143_spl
| sQ144_spl
| sQ145_spl
| sQ146_spl
| sQ147_spl
| sQ148_spl
| sQ150_spl
| sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| sQ156_spl
| sQ158_spl
| ~ sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| sQ163_spl
| ~ sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| sQ168_spl
| sQ171_spl
| sQ172_spl
| sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| sQ184_spl
| sQ185_spl
| sQ186_spl
| sQ187_spl
| ~ sQ188_spl
| ~ sQ189_spl
| sQ190_spl
| sQ191_spl
| ~ sQ192_spl
| sQ193_spl
| sQ194_spl
| sQ195_spl
| sQ196_spl
| ~ sQ197_spl
| sQ198_spl
| sQ199_spl
| sQ200_spl
| sQ201_spl
| sQ202_spl
| sQ203_spl
| sQ204_spl
| sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ212_spl
| sQ213_spl
| sQ214_spl
| sQ215_spl
| sQ216_spl
| sQ217_spl
| sQ218_spl
| sQ219_spl
| sQ226_spl
| sQ227_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN531+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.46 % Computer : n009.cluster.edu
% 0.15/0.46 % Model : x86_64 x86_64
% 0.15/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.46 % Memory : 8046.5625MB
% 0.15/0.46 % OS : Linux 6.8.0-71-generic
% 0.15/0.46 % CPULimit : 300
% 0.15/0.46 % WCLimit : 300
% 0.15/0.46 % DateTime : Mon Sep 21 11:06:27 UTC 2026
% 0.15/0.46 % CPUTime :
% 0.15/0.49 % Drodi V4.1.1
% 0.15/0.58 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.15/0.58 % SZS output start Saturation for theBenchmark
% See solution above
% 0.20/0.61 % Elapsed time: 0.116839 seconds
% 0.20/0.61 % CPU time: 0.619326 seconds
% 0.20/0.61 % Total memory used: 27.680 MB
% 0.20/0.61 % Net memory used: 27.495 MB
%------------------------------------------------------------------------------