%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN532+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.08s 0.42s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c4_0
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| c2_1(X14)
| c5_1(X14) ) )
| ( c2_1(a441)
& ! [X13] :
( ndr1_1(a441)
=> ( ~ c4_2(a441,X13)
| c5_2(a441,X13) ) )
& ~ c1_2(a441,a442)
& c3_2(a441,a442)
& ndr1_1(a441)
& ndr1_0 ) )
& ( ( c4_1(a440)
& ~ c5_1(a440)
& ! [X12] :
( ndr1_1(a440)
=> ( c4_2(a440,X12)
| ~ c3_2(a440,X12)
| c2_2(a440,X12) ) )
& ndr1_0 )
| c1_0
| c5_0 )
& ( c3_0
| ( ! [X11] :
( ndr1_1(a439)
=> ( c3_2(a439,X11)
| c5_2(a439,X11) ) )
& c5_1(a439)
& ndr1_0 ) )
& ( ( c2_1(a438)
& c1_1(a438)
& ~ c5_1(a438)
& ndr1_0 )
| ( c4_1(a437)
& ndr1_0 )
| ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ndr1_1(a434)
=> ( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10) ) )
& ndr1_0 ) )
& ( c1_0
| ~ c3_0 )
& ( c5_0
| ( ~ c2_2(a432,a433)
& ~ c3_2(a432,a433)
& ndr1_1(a432)
& ~ c1_1(a432)
& ! [X9] :
( ndr1_1(a432)
=> ( c4_2(a432,X9)
| c5_2(a432,X9)
| ~ c2_2(a432,X9) ) )
& ndr1_0 )
| c1_0 )
& ( ( ~ c1_1(a431)
& c3_1(a431)
& ndr1_0 )
| ! [X8] :
( ndr1_0
=> ( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) ) ) )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 ) )
& ( c1_0
| ~ c3_0
| c4_0 )
& ( ! [X7] :
( ndr1_0
=> ( ~ c4_1(X7)
| c2_1(X7)
| c5_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ( ~ c5_2(X6,a424)
& ~ c3_2(X6,a424)
& c2_2(X6,a424)
& ndr1_1(X6) )
| c3_1(X6)
| c2_1(X6) ) )
| c5_0 )
& ( ~ c3_0
| ( ~ c4_1(a422)
& ~ c2_2(a422,a423)
& c5_2(a422,a423)
& c1_2(a422,a423)
& ndr1_1(a422)
& ~ c2_1(a422)
& ndr1_0 )
| c1_0 )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( c5_0
| ~ c4_0
| c1_0 )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| c4_0
| ! [X3] :
( ndr1_0
=> ( ! [X5] :
( ndr1_1(X3)
=> ( c1_2(X3,X5)
| ~ c3_2(X3,X5)
| ~ c2_2(X3,X5) ) )
| ! [X4] :
( ndr1_1(X3)
=> ( c5_2(X3,X4)
| ~ c2_2(X3,X4)
| ~ c4_2(X3,X4) ) ) ) ) )
& ( c4_0
| ( c5_1(a420)
& c4_1(a420)
& c1_2(a420,a421)
& ~ c4_2(a420,a421)
& ndr1_1(a420)
& ndr1_0 ) )
& ( ( ~ c3_2(a418,a419)
& ~ c5_2(a418,a419)
& c4_2(a418,a419)
& ndr1_1(a418)
& c2_1(a418)
& ndr1_0 )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) ) ) )
| ( ! [X1] :
( ndr1_1(a416)
=> c5_2(a416,X1) )
& c2_1(a416)
& ! [Z] :
( ndr1_1(a416)
=> ( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z) ) )
& ndr1_0 ) )
& ( ( c5_1(a415)
& ~ c4_1(a415)
& c2_1(a415)
& ndr1_0 )
| ~ c5_0
| ~ c4_0 )
& ( ( ! [Y] :
( ndr1_1(a413)
=> ( ~ c1_2(a413,Y)
| c5_2(a413,Y) ) )
& c1_2(a413,a414)
& ~ c5_2(a413,a414)
& ~ c3_2(a413,a414)
& ndr1_1(a413)
& ~ c2_1(a413)
& ndr1_0 )
| ( ~ c2_1(a412)
& ! [X] :
( ndr1_1(a412)
=> ( c3_2(a412,X)
| ~ c2_2(a412,X) ) )
& ~ c4_1(a412)
& ndr1_0 )
| ! [W] :
( ndr1_0
=> ~ c2_1(W) ) )
& ( ~ c4_0
| ~ c3_0
| ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c5_1(V) ) ) )
& ( ( c1_1(a411)
& c2_1(a411)
& ! [U] :
( ndr1_1(a411)
=> ( c5_2(a411,U)
| c3_2(a411,U)
| c1_2(a411,U) ) )
& ndr1_0 )
| c5_0
| ~ c3_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c4_0
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| c2_1(X14)
| c5_1(X14) ) )
| ( c2_1(a441)
& ! [X13] :
( ndr1_1(a441)
=> ( ~ c4_2(a441,X13)
| c5_2(a441,X13) ) )
& ~ c1_2(a441,a442)
& c3_2(a441,a442)
& ndr1_1(a441)
& ndr1_0 ) )
& ( ( c4_1(a440)
& ~ c5_1(a440)
& ! [X12] :
( ndr1_1(a440)
=> ( c4_2(a440,X12)
| ~ c3_2(a440,X12)
| c2_2(a440,X12) ) )
& ndr1_0 )
| c1_0
| c5_0 )
& ( c3_0
| ( ! [X11] :
( ndr1_1(a439)
=> ( c3_2(a439,X11)
| c5_2(a439,X11) ) )
& c5_1(a439)
& ndr1_0 ) )
& ( ( c2_1(a438)
& c1_1(a438)
& ~ c5_1(a438)
& ndr1_0 )
| ( c4_1(a437)
& ndr1_0 )
| ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ndr1_1(a434)
=> ( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10) ) )
& ndr1_0 ) )
& ( c1_0
| ~ c3_0 )
& ( c5_0
| ( ~ c2_2(a432,a433)
& ~ c3_2(a432,a433)
& ndr1_1(a432)
& ~ c1_1(a432)
& ! [X9] :
( ndr1_1(a432)
=> ( c4_2(a432,X9)
| c5_2(a432,X9)
| ~ c2_2(a432,X9) ) )
& ndr1_0 )
| c1_0 )
& ( ( ~ c1_1(a431)
& c3_1(a431)
& ndr1_0 )
| ! [X8] :
( ndr1_0
=> ( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) ) ) )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 ) )
& ( c1_0
| ~ c3_0
| c4_0 )
& ( ! [X7] :
( ndr1_0
=> ( ~ c4_1(X7)
| c2_1(X7)
| c5_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ( ~ c5_2(X6,a424)
& ~ c3_2(X6,a424)
& c2_2(X6,a424)
& ndr1_1(X6) )
| c3_1(X6)
| c2_1(X6) ) )
| c5_0 )
& ( ~ c3_0
| ( ~ c4_1(a422)
& ~ c2_2(a422,a423)
& c5_2(a422,a423)
& c1_2(a422,a423)
& ndr1_1(a422)
& ~ c2_1(a422)
& ndr1_0 )
| c1_0 )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( c5_0
| ~ c4_0
| c1_0 )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| c4_0
| ! [X3] :
( ndr1_0
=> ( ! [X5] :
( ndr1_1(X3)
=> ( c1_2(X3,X5)
| ~ c3_2(X3,X5)
| ~ c2_2(X3,X5) ) )
| ! [X4] :
( ndr1_1(X3)
=> ( c5_2(X3,X4)
| ~ c2_2(X3,X4)
| ~ c4_2(X3,X4) ) ) ) ) )
& ( c4_0
| ( c5_1(a420)
& c4_1(a420)
& c1_2(a420,a421)
& ~ c4_2(a420,a421)
& ndr1_1(a420)
& ndr1_0 ) )
& ( ( ~ c3_2(a418,a419)
& ~ c5_2(a418,a419)
& c4_2(a418,a419)
& ndr1_1(a418)
& c2_1(a418)
& ndr1_0 )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) ) ) )
| ( ! [X1] :
( ndr1_1(a416)
=> c5_2(a416,X1) )
& c2_1(a416)
& ! [Z] :
( ndr1_1(a416)
=> ( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z) ) )
& ndr1_0 ) )
& ( ( c5_1(a415)
& ~ c4_1(a415)
& c2_1(a415)
& ndr1_0 )
| ~ c5_0
| ~ c4_0 )
& ( ( ! [Y] :
( ndr1_1(a413)
=> ( ~ c1_2(a413,Y)
| c5_2(a413,Y) ) )
& c1_2(a413,a414)
& ~ c5_2(a413,a414)
& ~ c3_2(a413,a414)
& ndr1_1(a413)
& ~ c2_1(a413)
& ndr1_0 )
| ( ~ c2_1(a412)
& ! [X] :
( ndr1_1(a412)
=> ( c3_2(a412,X)
| ~ c2_2(a412,X) ) )
& ~ c4_1(a412)
& ndr1_0 )
| ! [W] :
( ndr1_0
=> ~ c2_1(W) ) )
& ( ~ c4_0
| ~ c3_0
| ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c5_1(V) ) ) )
& ( ( c1_1(a411)
& c2_1(a411)
& ! [U] :
( ndr1_1(a411)
=> ( c5_2(a411,U)
| c3_2(a411,U)
| c1_2(a411,U) ) )
& ndr1_0 )
| c5_0
| ~ c3_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c4_0
| ! [X14] :
( ~ c1_1(X14)
| c2_1(X14)
| c5_1(X14)
| ~ ndr1_0 )
| ( c2_1(a441)
& ! [X13] :
( ~ c4_2(a441,X13)
| c5_2(a441,X13)
| ~ ndr1_1(a441) )
& ~ c1_2(a441,a442)
& c3_2(a441,a442)
& ndr1_1(a441)
& ndr1_0 ) )
& ( ( c4_1(a440)
& ~ c5_1(a440)
& ! [X12] :
( c4_2(a440,X12)
| ~ c3_2(a440,X12)
| c2_2(a440,X12)
| ~ ndr1_1(a440) )
& ndr1_0 )
| c1_0
| c5_0 )
& ( c3_0
| ( ! [X11] :
( c3_2(a439,X11)
| c5_2(a439,X11)
| ~ ndr1_1(a439) )
& c5_1(a439)
& ndr1_0 ) )
& ( ( c2_1(a438)
& c1_1(a438)
& ~ c5_1(a438)
& ndr1_0 )
| ( c4_1(a437)
& ndr1_0 )
| ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10)
| ~ ndr1_1(a434) )
& ndr1_0 ) )
& ( c1_0
| ~ c3_0 )
& ( c5_0
| ( ~ c2_2(a432,a433)
& ~ c3_2(a432,a433)
& ndr1_1(a432)
& ~ c1_1(a432)
& ! [X9] :
( c4_2(a432,X9)
| c5_2(a432,X9)
| ~ c2_2(a432,X9)
| ~ ndr1_1(a432) )
& ndr1_0 )
| c1_0 )
& ( ( ~ c1_1(a431)
& c3_1(a431)
& ndr1_0 )
| ! [X8] :
( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) )
| ~ ndr1_0 )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 ) )
& ( c1_0
| ~ c3_0
| c4_0 )
& ( ! [X7] :
( ~ c4_1(X7)
| c2_1(X7)
| c5_1(X7)
| ~ ndr1_0 )
| ! [X6] :
( ( ~ c5_2(X6,a424)
& ~ c3_2(X6,a424)
& c2_2(X6,a424)
& ndr1_1(X6) )
| c3_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| c5_0 )
& ( ~ c3_0
| ( ~ c4_1(a422)
& ~ c2_2(a422,a423)
& c5_2(a422,a423)
& c1_2(a422,a423)
& ndr1_1(a422)
& ~ c2_1(a422)
& ndr1_0 )
| c1_0 )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( c5_0
| ~ c4_0
| c1_0 )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| c4_0
| ! [X3] :
( ! [X5] :
( c1_2(X3,X5)
| ~ c3_2(X3,X5)
| ~ c2_2(X3,X5)
| ~ ndr1_1(X3) )
| ! [X4] :
( c5_2(X3,X4)
| ~ c2_2(X3,X4)
| ~ c4_2(X3,X4)
| ~ ndr1_1(X3) )
| ~ ndr1_0 ) )
& ( c4_0
| ( c5_1(a420)
& c4_1(a420)
& c1_2(a420,a421)
& ~ c4_2(a420,a421)
& ndr1_1(a420)
& ndr1_0 ) )
& ( ( ~ c3_2(a418,a419)
& ~ c5_2(a418,a419)
& c4_2(a418,a419)
& ndr1_1(a418)
& c2_1(a418)
& ndr1_0 )
| ! [X2] :
( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) )
| ~ ndr1_0 )
| ( ! [X1] :
( c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z)
| ~ ndr1_1(a416) )
& ndr1_0 ) )
& ( ( c5_1(a415)
& ~ c4_1(a415)
& c2_1(a415)
& ndr1_0 )
| ~ c5_0
| ~ c4_0 )
& ( ( ! [Y] :
( ~ c1_2(a413,Y)
| c5_2(a413,Y)
| ~ ndr1_1(a413) )
& c1_2(a413,a414)
& ~ c5_2(a413,a414)
& ~ c3_2(a413,a414)
& ndr1_1(a413)
& ~ c2_1(a413)
& ndr1_0 )
| ( ~ c2_1(a412)
& ! [X] :
( c3_2(a412,X)
| ~ c2_2(a412,X)
| ~ ndr1_1(a412) )
& ~ c4_1(a412)
& ndr1_0 )
| ! [W] :
( ~ c2_1(W)
| ~ ndr1_0 ) )
& ( ~ c4_0
| ~ c3_0
| ! [V] :
( ~ c3_1(V)
| c5_1(V)
| ~ ndr1_0 ) )
& ( ( c1_1(a411)
& c2_1(a411)
& ! [U] :
( c5_2(a411,U)
| c3_2(a411,U)
| c1_2(a411,U)
| ~ ndr1_1(a411) )
& ndr1_0 )
| c5_0
| ~ c3_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( ~ c2_1(a412)
& ! [X] :
( c3_2(a412,X)
| ~ c2_2(a412,X)
| ~ ndr1_1(a412) )
& ~ c4_1(a412)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ! [X2] :
( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) )
| ~ ndr1_0 )
| ( ! [X1] :
( c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z)
| ~ ndr1_1(a416) )
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ! [X8] :
( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) )
| ~ ndr1_0 )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ( c4_1(a437)
& ndr1_0 )
| ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10)
| ~ ndr1_1(a434) )
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,plain,
( ( c4_0
| ! [X14] :
( ~ c1_1(X14)
| c2_1(X14)
| c5_1(X14)
| ~ ndr1_0 )
| ( c2_1(a441)
& ! [X13] :
( ~ c4_2(a441,X13)
| c5_2(a441,X13)
| ~ ndr1_1(a441) )
& ~ c1_2(a441,a442)
& c3_2(a441,a442)
& ndr1_1(a441)
& ndr1_0 ) )
& ( ( c4_1(a440)
& ~ c5_1(a440)
& ! [X12] :
( c4_2(a440,X12)
| ~ c3_2(a440,X12)
| c2_2(a440,X12)
| ~ ndr1_1(a440) )
& ndr1_0 )
| c1_0
| c5_0 )
& ( c3_0
| ( ! [X11] :
( c3_2(a439,X11)
| c5_2(a439,X11)
| ~ ndr1_1(a439) )
& c5_1(a439)
& ndr1_0 ) )
& ( ( c2_1(a438)
& c1_1(a438)
& ~ c5_1(a438)
& ndr1_0 )
| sP3_prd )
& ( c1_0
| ~ c3_0 )
& ( c5_0
| ( ~ c2_2(a432,a433)
& ~ c3_2(a432,a433)
& ndr1_1(a432)
& ~ c1_1(a432)
& ! [X9] :
( c4_2(a432,X9)
| c5_2(a432,X9)
| ~ c2_2(a432,X9)
| ~ ndr1_1(a432) )
& ndr1_0 )
| c1_0 )
& ( ( ~ c1_1(a431)
& c3_1(a431)
& ndr1_0 )
| sP2_prd )
& ( c1_0
| ~ c3_0
| c4_0 )
& ( ! [X7] :
( ~ c4_1(X7)
| c2_1(X7)
| c5_1(X7)
| ~ ndr1_0 )
| ! [X6] :
( ( ~ c5_2(X6,a424)
& ~ c3_2(X6,a424)
& c2_2(X6,a424)
& ndr1_1(X6) )
| c3_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| c5_0 )
& ( ~ c3_0
| ( ~ c4_1(a422)
& ~ c2_2(a422,a423)
& c5_2(a422,a423)
& c1_2(a422,a423)
& ndr1_1(a422)
& ~ c2_1(a422)
& ndr1_0 )
| c1_0 )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( c5_0
| ~ c4_0
| c1_0 )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| c4_0
| ! [X3] :
( ! [X5] :
( c1_2(X3,X5)
| ~ c3_2(X3,X5)
| ~ c2_2(X3,X5)
| ~ ndr1_1(X3) )
| ! [X4] :
( c5_2(X3,X4)
| ~ c2_2(X3,X4)
| ~ c4_2(X3,X4)
| ~ ndr1_1(X3) )
| ~ ndr1_0 ) )
& ( c4_0
| ( c5_1(a420)
& c4_1(a420)
& c1_2(a420,a421)
& ~ c4_2(a420,a421)
& ndr1_1(a420)
& ndr1_0 ) )
& ( ( ~ c3_2(a418,a419)
& ~ c5_2(a418,a419)
& c4_2(a418,a419)
& ndr1_1(a418)
& c2_1(a418)
& ndr1_0 )
| sP1_prd )
& ( ( c5_1(a415)
& ~ c4_1(a415)
& c2_1(a415)
& ndr1_0 )
| ~ c5_0
| ~ c4_0 )
& ( ( ! [Y] :
( ~ c1_2(a413,Y)
| c5_2(a413,Y)
| ~ ndr1_1(a413) )
& c1_2(a413,a414)
& ~ c5_2(a413,a414)
& ~ c3_2(a413,a414)
& ndr1_1(a413)
& ~ c2_1(a413)
& ndr1_0 )
| sP0_prd
| ! [W] :
( ~ c2_1(W)
| ~ ndr1_0 ) )
& ( ~ c4_0
| ~ c3_0
| ! [V] :
( ~ c3_1(V)
| c5_1(V)
| ~ ndr1_0 ) )
& ( ( c1_1(a411)
& c2_1(a411)
& ! [U] :
( c5_2(a411,U)
| c3_2(a411,U)
| c1_2(a411,U)
| ~ ndr1_1(a411) )
& ndr1_0 )
| c5_0
| ~ c3_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ( c4_0
| ! [X14] :
( ~ c1_1(X14)
| c2_1(X14)
| c5_1(X14) )
| ~ ndr1_0
| ( c2_1(a441)
& ( ! [X13] :
( ~ c4_2(a441,X13)
| c5_2(a441,X13) )
| ~ ndr1_1(a441) )
& ~ c1_2(a441,a442)
& c3_2(a441,a442)
& ndr1_1(a441)
& ndr1_0 ) )
& ( ( c4_1(a440)
& ~ c5_1(a440)
& ( ! [X12] :
( c4_2(a440,X12)
| ~ c3_2(a440,X12)
| c2_2(a440,X12) )
| ~ ndr1_1(a440) )
& ndr1_0 )
| c1_0
| c5_0 )
& ( c3_0
| ( ( ! [X11] :
( c3_2(a439,X11)
| c5_2(a439,X11) )
| ~ ndr1_1(a439) )
& c5_1(a439)
& ndr1_0 ) )
& ( ( c2_1(a438)
& c1_1(a438)
& ~ c5_1(a438)
& ndr1_0 )
| sP3_prd )
& ( c1_0
| ~ c3_0 )
& ( c5_0
| ( ~ c2_2(a432,a433)
& ~ c3_2(a432,a433)
& ndr1_1(a432)
& ~ c1_1(a432)
& ( ! [X9] :
( c4_2(a432,X9)
| c5_2(a432,X9)
| ~ c2_2(a432,X9) )
| ~ ndr1_1(a432) )
& ndr1_0 )
| c1_0 )
& ( ( ~ c1_1(a431)
& c3_1(a431)
& ndr1_0 )
| sP2_prd )
& ( c1_0
| ~ c3_0
| c4_0 )
& ( ! [X7] :
( ~ c4_1(X7)
| c2_1(X7)
| c5_1(X7) )
| ~ ndr1_0
| ! [X6] :
( ( ~ c5_2(X6,a424)
& ~ c3_2(X6,a424)
& c2_2(X6,a424)
& ndr1_1(X6) )
| c3_1(X6)
| c2_1(X6) )
| ~ ndr1_0
| c5_0 )
& ( ~ c3_0
| ( ~ c4_1(a422)
& ~ c2_2(a422,a423)
& c5_2(a422,a423)
& c1_2(a422,a423)
& ndr1_1(a422)
& ~ c2_1(a422)
& ndr1_0 )
| c1_0 )
& ( c2_0
| ~ c3_0
| c5_0 )
& ( c5_0
| ~ c4_0
| c1_0 )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| c4_0
| ! [X3] :
( ! [X5] :
( c1_2(X3,X5)
| ~ c3_2(X3,X5)
| ~ c2_2(X3,X5) )
| ~ ndr1_1(X3)
| ! [X4] :
( c5_2(X3,X4)
| ~ c2_2(X3,X4)
| ~ c4_2(X3,X4) )
| ~ ndr1_1(X3) )
| ~ ndr1_0 )
& ( c4_0
| ( c5_1(a420)
& c4_1(a420)
& c1_2(a420,a421)
& ~ c4_2(a420,a421)
& ndr1_1(a420)
& ndr1_0 ) )
& ( ( ~ c3_2(a418,a419)
& ~ c5_2(a418,a419)
& c4_2(a418,a419)
& ndr1_1(a418)
& c2_1(a418)
& ndr1_0 )
| sP1_prd )
& ( ( c5_1(a415)
& ~ c4_1(a415)
& c2_1(a415)
& ndr1_0 )
| ~ c5_0
| ~ c4_0 )
& ( ( ( ! [Y] :
( ~ c1_2(a413,Y)
| c5_2(a413,Y) )
| ~ ndr1_1(a413) )
& c1_2(a413,a414)
& ~ c5_2(a413,a414)
& ~ c3_2(a413,a414)
& ndr1_1(a413)
& ~ c2_1(a413)
& ndr1_0 )
| sP0_prd
| ! [W] : ~ c2_1(W)
| ~ ndr1_0 )
& ( ~ c4_0
| ~ c3_0
| ! [V] :
( ~ c3_1(V)
| c5_1(V) )
| ~ ndr1_0 )
& ( ( c1_1(a411)
& c2_1(a411)
& ( ! [U] :
( c5_2(a411,U)
| c3_2(a411,U)
| c1_2(a411,U) )
| ~ ndr1_1(a411) )
& ndr1_0 )
| c5_0
| ~ c3_0 ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
( ndr1_0
| c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0] :
( c5_2(a411,X0)
| c3_2(a411,X0)
| c1_2(a411,X0)
| ~ ndr1_1(a411)
| c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
( c2_1(a411)
| c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f13,plain,
( c1_1(a411)
| c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
! [X0] :
( ~ c4_0
| ~ c3_0
| ~ c3_1(X0)
| c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ c2_1(a413)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
! [X0] :
( ndr1_1(a413)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
! [X0] :
( ~ c3_2(a413,a414)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0] :
( ~ c5_2(a413,a414)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0] :
( c1_2(a413,a414)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1] :
( ~ c1_2(a413,X1)
| c5_2(a413,X1)
| ~ ndr1_1(a413)
| sP0_prd
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
( ndr1_0
| ~ c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
( c2_1(a415)
| ~ c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
( ~ c4_1(a415)
| ~ c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
( c5_1(a415)
| ~ c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
( c2_1(a418)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
( ndr1_1(a418)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
( c4_2(a418,a419)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
( ~ c5_2(a418,a419)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( ~ c3_2(a418,a419)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
( c4_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
( c4_0
| ndr1_1(a420) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
( c4_0
| ~ c4_2(a420,a421) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( c4_0
| c1_2(a420,a421) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( c4_0
| c4_1(a420) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
( c4_0
| c5_1(a420) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ c3_0
| c4_0
| c1_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c2_2(X0,X2)
| ~ ndr1_1(X0)
| c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
( ~ c5_0
| ~ c3_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
( c5_0
| ~ c4_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
( c2_0
| ~ c3_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
! [X0,X1] :
( ~ c4_1(X1)
| c2_1(X1)
| c5_1(X1)
| ~ ndr1_0
| ndr1_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
! [X0,X1] :
( ~ c4_1(X1)
| c2_1(X1)
| c5_1(X1)
| ~ ndr1_0
| c2_2(X0,a424)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
! [X0,X1] :
( ~ c4_1(X1)
| c2_1(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c3_2(X0,a424)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( ~ c4_1(X1)
| c2_1(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c5_2(X0,a424)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f55,plain,
( c3_1(a431)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f56,plain,
( ~ c1_1(a431)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f57,plain,
( c5_0
| ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
! [X0] :
( c5_0
| c4_2(a432,X0)
| c5_2(a432,X0)
| ~ c2_2(a432,X0)
| ~ ndr1_1(a432)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
( c5_0
| ~ c1_1(a432)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f60,plain,
( c5_0
| ndr1_1(a432)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
( c5_0
| ~ c3_2(a432,a433)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( c5_0
| ~ c2_2(a432,a433)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f63,plain,
( c1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
( ~ c5_1(a438)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f66,plain,
( c1_1(a438)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
( c2_1(a438)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
( c3_0
| c5_1(a439) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f70,plain,
! [X0] :
( c3_0
| c3_2(a439,X0)
| c5_2(a439,X0)
| ~ ndr1_1(a439) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f72,plain,
! [X0] :
( c4_2(a440,X0)
| ~ c3_2(a440,X0)
| c2_2(a440,X0)
| ~ ndr1_1(a440)
| c1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f73,plain,
( ~ c5_1(a440)
| c1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
( c4_1(a440)
| c1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
! [X0] :
( c4_0
| ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ndr1_1(a441) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f77,plain,
! [X0] :
( c4_0
| ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c3_2(a441,a442) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
! [X0] :
( c4_0
| ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c1_2(a441,a442) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
! [X0,X1] :
( c4_0
| ~ c1_1(X1)
| c2_1(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c4_2(a441,X0)
| c5_2(a441,X0)
| ~ ndr1_1(a441) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
! [X0] :
( c4_0
| ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c2_1(a441) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f81,plain,
( ( c2_1(a412)
| ? [X] :
( ~ c3_2(a412,X)
& c2_2(a412,X)
& ndr1_1(a412) )
| c4_1(a412)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c2_1(a412)
& ! [X] :
( c3_2(a412,X)
| ~ c2_2(a412,X)
| ~ ndr1_1(a412) )
& ~ c4_1(a412)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f82,plain,
( ( c2_1(a412)
| ( ? [X] :
( ~ c3_2(a412,X)
& c2_2(a412,X) )
& ndr1_1(a412) )
| c4_1(a412)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c2_1(a412)
& ( ! [X] :
( c3_2(a412,X)
| ~ c2_2(a412,X) )
| ~ ndr1_1(a412) )
& ~ c4_1(a412)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f83,plain,
( ( c2_1(a412)
| ( ~ c3_2(a412,sK0_skl)
& c2_2(a412,sK0_skl)
& ndr1_1(a412) )
| c4_1(a412)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c2_1(a412)
& ( ! [X] :
( c3_2(a412,X)
| ~ c2_2(a412,X) )
| ~ ndr1_1(a412) )
& ~ c4_1(a412)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f82]) ).
fof(f84,plain,
( ndr1_0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
( ~ c4_1(a412)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f86,plain,
! [X0] :
( c3_2(a412,X0)
| ~ c2_2(a412,X0)
| ~ ndr1_1(a412)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f87,plain,
( ~ c2_1(a412)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f88,plain,
( c2_1(a412)
| ndr1_1(a412)
| c4_1(a412)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f89,plain,
( c2_1(a412)
| c2_2(a412,sK0_skl)
| c4_1(a412)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f90,plain,
( c2_1(a412)
| ~ c3_2(a412,sK0_skl)
| c4_1(a412)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f91,definition,
! [X2] :
( sP4_prd(X2)
<=> ( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f92,plain,
( sP1_prd
<=> ( ! [X2] :
( sP4_prd(X2)
| ~ ndr1_0 )
| ( ! [X1] :
( c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z)
| ~ ndr1_1(a416) )
& ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f5,f91]) ).
fof(f93,plain,
( ( ( ? [X2] :
( ~ sP4_prd(X2)
& ndr1_0 )
& ( ? [X1] :
( ~ c5_2(a416,X1)
& ndr1_1(a416) )
| ~ c2_1(a416)
| ? [Z] :
( c2_2(a416,Z)
& c5_2(a416,Z)
& ndr1_1(a416) )
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [X2] :
( sP4_prd(X2)
| ~ ndr1_0 )
| ( ! [X1] :
( c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z)
| ~ ndr1_1(a416) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
( ( ( ? [X2] : ~ sP4_prd(X2)
& ndr1_0
& ( ( ? [X1] : ~ c5_2(a416,X1)
& ndr1_1(a416) )
| ~ c2_1(a416)
| ( ? [Z] :
( c2_2(a416,Z)
& c5_2(a416,Z) )
& ndr1_1(a416) )
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [X2] : sP4_prd(X2)
| ~ ndr1_0
| ( ( ! [X1] : c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ( ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z) )
| ~ ndr1_1(a416) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ( ( ~ sP4_prd(sK3_skl)
& ndr1_0
& ( ( ~ c5_2(a416,sK2_skl)
& ndr1_1(a416) )
| ~ c2_1(a416)
| ( c2_2(a416,sK1_skl)
& c5_2(a416,sK1_skl)
& ndr1_1(a416) )
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [X2] : sP4_prd(X2)
| ~ ndr1_0
| ( ( ! [X1] : c5_2(a416,X1)
| ~ ndr1_1(a416) )
& c2_1(a416)
& ( ! [Z] :
( ~ c2_2(a416,Z)
| ~ c5_2(a416,Z) )
| ~ ndr1_1(a416) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(Z,sK1_skl),skolemize(X1,sK2_skl),skolemize(X2,sK3_skl)],[f94]) ).
fof(f97,plain,
! [X0,X1] :
( sP4_prd(X1)
| ~ ndr1_0
| ~ c2_2(a416,X0)
| ~ c5_2(a416,X0)
| ~ ndr1_1(a416)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f98,plain,
! [X0] :
( sP4_prd(X0)
| ~ ndr1_0
| c2_1(a416)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
! [X0,X1] :
( sP4_prd(X1)
| ~ ndr1_0
| c5_2(a416,X0)
| ~ ndr1_1(a416)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
( ndr1_1(a416)
| ~ c2_1(a416)
| ndr1_1(a416)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f103,plain,
( ~ c5_2(a416,sK2_skl)
| ~ c2_1(a416)
| c5_2(a416,sK1_skl)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f105,plain,
( ~ c5_2(a416,sK2_skl)
| ~ c2_1(a416)
| c2_2(a416,sK1_skl)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f107,plain,
( ~ sP4_prd(sK3_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f108,definition,
! [X8] :
( sP5_prd(X8)
<=> ( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f109,plain,
( sP2_prd
<=> ( ! [X8] :
( sP5_prd(X8)
| ~ ndr1_0 )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f6,f108]) ).
fof(f110,plain,
( ( ( ? [X8] :
( ~ sP5_prd(X8)
& ndr1_0 )
& ( ~ c2_2(a425,a427)
| c3_2(a425,a427)
| c5_2(a425,a427)
| ~ ndr1_1(a425)
| c3_1(a425)
| c5_2(a425,a426)
| ~ c4_2(a425,a426)
| c2_2(a425,a426)
| ~ ndr1_1(a425)
| ~ ndr1_0 ) )
| sP2_prd )
& ( ! [X8] :
( sP5_prd(X8)
| ~ ndr1_0 )
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
( ( ( ? [X8] : ~ sP5_prd(X8)
& ndr1_0
& ( ~ c2_2(a425,a427)
| c3_2(a425,a427)
| c5_2(a425,a427)
| ~ ndr1_1(a425)
| c3_1(a425)
| c5_2(a425,a426)
| ~ c4_2(a425,a426)
| c2_2(a425,a426)
| ~ ndr1_1(a425)
| ~ ndr1_0 ) )
| sP2_prd )
& ( ! [X8] : sP5_prd(X8)
| ~ ndr1_0
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f112,plain,
( ( ( ~ sP5_prd(sK4_skl)
& ndr1_0
& ( ~ c2_2(a425,a427)
| c3_2(a425,a427)
| c5_2(a425,a427)
| ~ ndr1_1(a425)
| c3_1(a425)
| c5_2(a425,a426)
| ~ c4_2(a425,a426)
| c2_2(a425,a426)
| ~ ndr1_1(a425)
| ~ ndr1_0 ) )
| sP2_prd )
& ( ! [X8] : sP5_prd(X8)
| ~ ndr1_0
| ( c2_2(a425,a427)
& ~ c3_2(a425,a427)
& ~ c5_2(a425,a427)
& ndr1_1(a425)
& ~ c3_1(a425)
& ~ c5_2(a425,a426)
& c4_2(a425,a426)
& ~ c2_2(a425,a426)
& ndr1_1(a425)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(X8,sK4_skl)],[f111]) ).
fof(f114,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ndr1_1(a425)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f115,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ~ c2_2(a425,a426)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f116,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| c4_2(a425,a426)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f117,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ~ c5_2(a425,a426)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f118,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ~ c3_1(a425)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f120,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ~ c5_2(a425,a427)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f121,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| ~ c3_2(a425,a427)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f122,plain,
! [X0] :
( sP5_prd(X0)
| ~ ndr1_0
| c2_2(a425,a427)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f123,plain,
( ~ c2_2(a425,a427)
| c3_2(a425,a427)
| c5_2(a425,a427)
| ~ ndr1_1(a425)
| c3_1(a425)
| c5_2(a425,a426)
| ~ c4_2(a425,a426)
| c2_2(a425,a426)
| ~ ndr1_1(a425)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f125,plain,
( ~ sP5_prd(sK4_skl)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f126,definition,
( sP6_prd
<=> ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10)
| ~ ndr1_1(a434) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f127,plain,
( sP3_prd
<=> ( ( c4_1(a437)
& ndr1_0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f7,f126]) ).
fof(f128,plain,
( ( ( ( ~ c4_1(a437)
| ~ ndr1_0 )
& ~ sP6_prd )
| sP3_prd )
& ( ( c4_1(a437)
& ndr1_0 )
| sP6_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( ndr1_0
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
( c4_1(a437)
| sP6_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f131,plain,
( ~ sP6_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
( ~ c4_1(a437)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f133,plain,
! [X2] :
( ( ( c2_1(X2)
& ( ~ c2_2(X2,a417)
| c4_2(X2,a417)
| ~ ndr1_1(X2) ) )
| sP4_prd(X2) )
& ( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) )
| ~ sP4_prd(X2) ) ),
inference(NNF_transformation,[status(thm)],[f91]) ).
fof(f134,plain,
( ! [X2] :
( ( c2_1(X2)
& ( ~ c2_2(X2,a417)
| c4_2(X2,a417)
| ~ ndr1_1(X2) ) )
| sP4_prd(X2) )
& ! [X2] :
( ~ c2_1(X2)
| ( c2_2(X2,a417)
& ~ c4_2(X2,a417)
& ndr1_1(X2) )
| ~ sP4_prd(X2) ) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f135,plain,
! [X0] :
( ~ c2_1(X0)
| ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c4_2(X0,a417)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
! [X0] :
( ~ c2_1(X0)
| c2_2(X0,a417)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
! [X0] :
( ~ c2_2(X0,a417)
| c4_2(X0,a417)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
! [X0] :
( c2_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,definition,
! [X8] :
( sP7_prd(X8)
<=> ( ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) ) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f141,plain,
! [X8] :
( sP5_prd(X8)
<=> ( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| sP7_prd(X8) ) ),
inference(formula_renaming,[status(thm)],[f108,f140]) ).
fof(f142,plain,
! [X8] :
( ( ( ( ~ c5_2(X8,a430)
| c4_2(X8,a430)
| ~ c1_2(X8,a430)
| ~ ndr1_1(X8) )
& ~ sP7_prd(X8) )
| sP5_prd(X8) )
& ( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| sP7_prd(X8)
| ~ sP5_prd(X8) ) ),
inference(NNF_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( ! [X8] :
( ( ( ~ c5_2(X8,a430)
| c4_2(X8,a430)
| ~ c1_2(X8,a430)
| ~ ndr1_1(X8) )
& ~ sP7_prd(X8) )
| sP5_prd(X8) )
& ! [X8] :
( ( c5_2(X8,a430)
& ~ c4_2(X8,a430)
& c1_2(X8,a430)
& ndr1_1(X8) )
| sP7_prd(X8)
| ~ sP5_prd(X8) ) ),
inference(miniscoping,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0] :
( ndr1_1(X0)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0] :
( c1_2(X0,a430)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f146,plain,
! [X0] :
( ~ c4_2(X0,a430)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f147,plain,
! [X0] :
( c5_2(X0,a430)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f148,plain,
! [X0] :
( ~ sP7_prd(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f149,plain,
! [X0] :
( ~ c5_2(X0,a430)
| c4_2(X0,a430)
| ~ c1_2(X0,a430)
| ~ ndr1_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f150,plain,
( ( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| ? [X10] :
( c3_2(a434,X10)
& ~ c2_2(a434,X10)
& c4_2(a434,X10)
& ndr1_1(a434) )
| ~ ndr1_0
| sP6_prd )
& ( ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10)
| ~ ndr1_1(a434) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f126]) ).
fof(f151,plain,
( ( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| ( ? [X10] :
( c3_2(a434,X10)
& ~ c2_2(a434,X10)
& c4_2(a434,X10) )
& ndr1_1(a434) )
| ~ ndr1_0
| sP6_prd )
& ( ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ( ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10) )
| ~ ndr1_1(a434) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f152,plain,
( ( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| ( c3_2(a434,sK5_skl)
& ~ c2_2(a434,sK5_skl)
& c4_2(a434,sK5_skl)
& ndr1_1(a434) )
| ~ ndr1_0
| sP6_prd )
& ( ( c3_2(a434,a436)
& ~ c5_2(a434,a436)
& ndr1_1(a434)
& c3_2(a434,a435)
& c4_2(a434,a435)
& c5_2(a434,a435)
& ndr1_1(a434)
& ( ! [X10] :
( ~ c3_2(a434,X10)
| c2_2(a434,X10)
| ~ c4_2(a434,X10) )
| ~ ndr1_1(a434) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(X10,sK5_skl)],[f151]) ).
fof(f153,plain,
( ndr1_0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ c3_2(a434,X0)
| c2_2(a434,X0)
| ~ c4_2(a434,X0)
| ~ ndr1_1(a434)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f155,plain,
( ndr1_1(a434)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f156,plain,
( c5_2(a434,a435)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f157,plain,
( c4_2(a434,a435)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f158,plain,
( c3_2(a434,a435)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f160,plain,
( ~ c5_2(a434,a436)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f161,plain,
( c3_2(a434,a436)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f163,plain,
( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| c4_2(a434,sK5_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f164,plain,
( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| ~ c2_2(a434,sK5_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f165,plain,
( ~ c3_2(a434,a436)
| c5_2(a434,a436)
| ~ ndr1_1(a434)
| ~ c3_2(a434,a435)
| ~ c4_2(a434,a435)
| ~ c5_2(a434,a435)
| ~ ndr1_1(a434)
| c3_2(a434,sK5_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f166,definition,
! [X8] :
( sP8_prd(X8)
<=> ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f167,plain,
! [X8] :
( sP7_prd(X8)
<=> ( ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| sP8_prd(X8) ) ),
inference(formula_renaming,[status(thm)],[f140,f166]) ).
fof(f168,plain,
! [X8] :
( ( ( ( c5_2(X8,a429)
| c4_2(X8,a429)
| ~ c1_2(X8,a429)
| ~ ndr1_1(X8) )
& ~ sP8_prd(X8) )
| sP7_prd(X8) )
& ( ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| sP8_prd(X8)
| ~ sP7_prd(X8) ) ),
inference(NNF_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( ! [X8] :
( ( ( c5_2(X8,a429)
| c4_2(X8,a429)
| ~ c1_2(X8,a429)
| ~ ndr1_1(X8) )
& ~ sP8_prd(X8) )
| sP7_prd(X8) )
& ! [X8] :
( ( ~ c5_2(X8,a429)
& ~ c4_2(X8,a429)
& c1_2(X8,a429)
& ndr1_1(X8) )
| sP8_prd(X8)
| ~ sP7_prd(X8) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0] :
( ndr1_1(X0)
| sP8_prd(X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X0] :
( c1_2(X0,a429)
| sP8_prd(X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f172,plain,
! [X0] :
( ~ c4_2(X0,a429)
| sP8_prd(X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f173,plain,
! [X0] :
( ~ c5_2(X0,a429)
| sP8_prd(X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f174,plain,
! [X0] :
( ~ sP8_prd(X0)
| sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f175,plain,
! [X0] :
( c5_2(X0,a429)
| c4_2(X0,a429)
| ~ c1_2(X0,a429)
| ~ ndr1_1(X0)
| sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f176,plain,
! [X8] :
( ( c3_2(X8,a428)
| c4_2(X8,a428)
| ~ ndr1_1(X8)
| sP8_prd(X8) )
& ( ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) )
| ~ sP8_prd(X8) ) ),
inference(NNF_transformation,[status(thm)],[f166]) ).
fof(f177,plain,
( ! [X8] :
( c3_2(X8,a428)
| c4_2(X8,a428)
| ~ ndr1_1(X8)
| sP8_prd(X8) )
& ! [X8] :
( ( ~ c3_2(X8,a428)
& ~ c4_2(X8,a428)
& ndr1_1(X8) )
| ~ sP8_prd(X8) ) ),
inference(miniscoping,[status(thm)],[f176]) ).
fof(f178,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
! [X0] :
( ~ c4_2(X0,a428)
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f180,plain,
! [X0] :
( ~ c3_2(X0,a428)
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f181,plain,
! [X0] :
( c3_2(X0,a428)
| c4_2(X0,a428)
| ~ ndr1_1(X0)
| sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f182,definition,
( sQ0_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ0_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ0_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ1_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ1_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ2_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ2_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f182,f185,f188]) ).
fof(f192,definition,
( sQ3_spl
<=> ndr1_1(a411) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ3_spl
| ndr1_1(a411) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ3_spl
| ~ ndr1_1(a411) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
! [X0] :
( sQ4_spl
<=> ( c5_2(a411,X0)
| c3_2(a411,X0)
| c1_2(a411,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f196,plain,
! [X0] :
( ~ sQ4_spl
| c5_2(a411,X0)
| c3_2(a411,X0)
| c1_2(a411,X0) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ4_spl
| ~ sQ3_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f182,f185,f192,f195]) ).
fof(f199,definition,
( sQ5_spl
<=> c2_1(a411) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ5_spl
| c2_1(a411) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ5_spl
| ~ c2_1(a411) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ5_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f182,f185,f199]) ).
fof(f203,definition,
( sQ6_spl
<=> c1_1(a411) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ6_spl
| c1_1(a411) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( sQ6_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f182,f185,f203]) ).
fof(f207,definition,
! [X0] :
( sQ7_spl
<=> ( ~ c3_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f208,plain,
! [X0] :
( ~ sQ7_spl
| ~ c3_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ8_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ8_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ8_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| sQ7_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f14,f188,f207,f182,f210]) ).
fof(f214,definition,
! [X0] :
( sQ9_spl
<=> ~ c2_1(X0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0] :
( ~ sQ9_spl
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ10_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ10_spl
| sP0_prd ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ10_spl
| ~ sP0_prd ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f221,definition,
( sQ11_spl
<=> c2_1(a413) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ11_spl
| c2_1(a413) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ11_spl
| ~ c2_1(a413) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( ~ sQ11_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f16,f188,f214,f217,f221]) ).
fof(f225,definition,
( sQ12_spl
<=> ndr1_1(a413) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ12_spl
| ndr1_1(a413) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ12_spl
| ~ ndr1_1(a413) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ12_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f17,f188,f214,f217,f225]) ).
fof(f229,definition,
( sQ13_spl
<=> c3_2(a413,a414) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ13_spl
| ~ c3_2(a413,a414) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ sQ13_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f18,f188,f214,f217,f229]) ).
fof(f233,definition,
( sQ14_spl
<=> c5_2(a413,a414) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ14_spl
| c5_2(a413,a414) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ14_spl
| ~ c5_2(a413,a414) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( ~ sQ14_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f19,f188,f214,f217,f233]) ).
fof(f237,definition,
( sQ15_spl
<=> c1_2(a413,a414) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ15_spl
| c1_2(a413,a414) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( sQ15_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f20,f188,f214,f217,f237]) ).
fof(f241,definition,
! [X1] :
( sQ16_spl
<=> ( ~ c1_2(a413,X1)
| c5_2(a413,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ16_spl
| ~ c1_2(a413,X0)
| c5_2(a413,X0) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ16_spl
| ~ sQ12_spl
| sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f21,f188,f214,f217,f225,f241]) ).
fof(f245,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f210,f185,f188]) ).
fof(f246,definition,
( sQ17_spl
<=> c2_1(a415) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ17_spl
| c2_1(a415) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ17_spl
| ~ sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f23,f210,f185,f246]) ).
fof(f250,definition,
( sQ18_spl
<=> c4_1(a415) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ18_spl
| ~ c4_1(a415) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( ~ sQ18_spl
| ~ sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f24,f210,f185,f250]) ).
fof(f254,definition,
( sQ19_spl
<=> c5_1(a415) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ19_spl
| c5_1(a415) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ19_spl
| ~ sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f25,f210,f185,f254]) ).
fof(f258,definition,
( sQ20_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ20_spl
| sP1_prd ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ20_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f26,f258,f188]) ).
fof(f262,definition,
( sQ21_spl
<=> c2_1(a418) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ21_spl
| c2_1(a418) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f27,f258,f262]) ).
fof(f266,definition,
( sQ22_spl
<=> ndr1_1(a418) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ22_spl
| ndr1_1(a418) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ22_spl
| ~ ndr1_1(a418) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ22_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f28,f258,f266]) ).
fof(f270,definition,
( sQ23_spl
<=> c4_2(a418,a419) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ23_spl
| c4_2(a418,a419) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( sQ23_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f29,f258,f270]) ).
fof(f274,definition,
( sQ24_spl
<=> c5_2(a418,a419) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ24_spl
| c5_2(a418,a419) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ24_spl
| ~ c5_2(a418,a419) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( ~ sQ24_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f30,f258,f274]) ).
fof(f278,definition,
( sQ25_spl
<=> c3_2(a418,a419) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ25_spl
| ~ c3_2(a418,a419) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( ~ sQ25_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f31,f258,f278]) ).
fof(f282,plain,
( sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f32,f188,f210]) ).
fof(f283,definition,
( sQ26_spl
<=> ndr1_1(a420) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ26_spl
| ndr1_1(a420) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ26_spl
| ~ ndr1_1(a420) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ8_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f33,f283,f210]) ).
fof(f287,definition,
( sQ27_spl
<=> c4_2(a420,a421) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ27_spl
| ~ c4_2(a420,a421) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ8_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f34,f287,f210]) ).
fof(f291,definition,
( sQ28_spl
<=> c1_2(a420,a421) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ28_spl
| c1_2(a420,a421) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ8_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f35,f291,f210]) ).
fof(f295,definition,
( sQ29_spl
<=> c4_1(a420) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ29_spl
| c4_1(a420) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( sQ8_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f295,f210]) ).
fof(f299,definition,
( sQ30_spl
<=> c5_1(a420) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ30_spl
| c5_1(a420) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( sQ8_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f37,f299,f210]) ).
fof(f303,definition,
! [X0,X1,X2] :
( sQ31_spl
<=> ( c1_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c2_2(X0,X2)
| ~ ndr1_1(X0)
| c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| c1_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c2_2(X0,X2)
| ~ ndr1_1(X0)
| c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( ~ sQ0_spl
| sQ8_spl
| sQ31_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f38,f188,f303,f210,f182]) ).
fof(f307,definition,
( sQ32_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ32_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f39,f307,f182,f185]) ).
fof(f311,plain,
( sQ1_spl
| ~ sQ8_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f40,f307,f210,f185]) ).
fof(f312,definition,
( sQ33_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ33_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( sQ33_spl
| ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f41,f185,f182,f312]) ).
fof(f317,definition,
( sQ34_spl
<=> c2_1(a422) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ34_spl
| c2_1(a422) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ34_spl
| ~ c2_1(a422) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f321,definition,
( sQ35_spl
<=> ndr1_1(a422) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ35_spl
| ndr1_1(a422) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ35_spl
| ~ ndr1_1(a422) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f325,definition,
( sQ36_spl
<=> c1_2(a422,a423) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ36_spl
| c1_2(a422,a423) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f329,definition,
( sQ37_spl
<=> c5_2(a422,a423) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ37_spl
| c5_2(a422,a423) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f333,definition,
( sQ38_spl
<=> c2_2(a422,a423) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ38_spl
| ~ c2_2(a422,a423) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f337,definition,
( sQ39_spl
<=> c4_1(a422) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ39_spl
| ~ c4_1(a422) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f341,definition,
! [X0] :
( sQ40_spl
<=> ( ndr1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ40_spl
| ndr1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
! [X1] :
( sQ41_spl
<=> ( ~ c4_1(X1)
| c2_1(X1)
| c5_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f345,plain,
! [X0] :
( ~ sQ41_spl
| ~ c4_1(X0)
| c2_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( sQ41_spl
| sQ40_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f185,f188,f341,f344]) ).
fof(f348,definition,
! [X0] :
( sQ42_spl
<=> ( c2_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0] :
( ~ sQ42_spl
| c2_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ41_spl
| sQ42_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f50,f185,f188,f348,f344]) ).
fof(f352,definition,
! [X0] :
( sQ43_spl
<=> ( ~ c3_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ43_spl
| ~ c3_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ41_spl
| sQ43_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f51,f185,f188,f352,f344]) ).
fof(f356,definition,
! [X0] :
( sQ44_spl
<=> ( ~ c5_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f357,plain,
! [X0] :
( ~ sQ44_spl
| ~ c5_2(X0,a424)
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ41_spl
| sQ44_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f52,f185,f188,f356,f344]) ).
fof(f361,definition,
( sQ45_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ45_spl
| sP2_prd ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ45_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ2_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f54,f361,f188]) ).
fof(f365,definition,
( sQ46_spl
<=> c3_1(a431) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ46_spl
| c3_1(a431) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f55,f361,f365]) ).
fof(f369,definition,
( sQ47_spl
<=> c1_1(a431) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ47_spl
| ~ c1_1(a431) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( ~ sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f56,f361,f369]) ).
fof(f373,plain,
( sQ1_spl
| sQ2_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f57,f307,f188,f185]) ).
fof(f374,definition,
( sQ48_spl
<=> ndr1_1(a432) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ48_spl
| ndr1_1(a432) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ48_spl
| ~ ndr1_1(a432) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
! [X0] :
( sQ49_spl
<=> ( c4_2(a432,X0)
| c5_2(a432,X0)
| ~ c2_2(a432,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f378,plain,
! [X0] :
( ~ sQ49_spl
| c4_2(a432,X0)
| c5_2(a432,X0)
| ~ c2_2(a432,X0) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( sQ1_spl
| sQ49_spl
| ~ sQ48_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f58,f307,f374,f377,f185]) ).
fof(f381,definition,
( sQ50_spl
<=> c1_1(a432) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ50_spl
| ~ c1_1(a432) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( sQ1_spl
| ~ sQ50_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f59,f307,f381,f185]) ).
fof(f385,plain,
( sQ1_spl
| sQ48_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f60,f307,f374,f185]) ).
fof(f386,definition,
( sQ51_spl
<=> c3_2(a432,a433) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ51_spl
| ~ c3_2(a432,a433) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ1_spl
| ~ sQ51_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f61,f307,f386,f185]) ).
fof(f390,definition,
( sQ52_spl
<=> c2_2(a432,a433) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ52_spl
| ~ c2_2(a432,a433) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( sQ1_spl
| ~ sQ52_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f307,f390,f185]) ).
fof(f394,plain,
( sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f182,f307]) ).
fof(f395,definition,
( sQ53_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ53_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ2_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f64,f395,f188]) ).
fof(f399,definition,
( sQ54_spl
<=> c5_1(a438) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ54_spl
| c5_1(a438) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ54_spl
| ~ c5_1(a438) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f65,f395,f399]) ).
fof(f403,definition,
( sQ55_spl
<=> c1_1(a438) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ55_spl
| c1_1(a438) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ55_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f66,f395,f403]) ).
fof(f407,definition,
( sQ56_spl
<=> c2_1(a438) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ56_spl
| c2_1(a438) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ56_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f67,f395,f407]) ).
fof(f411,plain,
( sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f68,f188,f182]) ).
fof(f412,definition,
( sQ57_spl
<=> c5_1(a439) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ57_spl
| c5_1(a439) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f69,f412,f182]) ).
fof(f416,definition,
( sQ58_spl
<=> ndr1_1(a439) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ58_spl
| ndr1_1(a439) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ58_spl
| ~ ndr1_1(a439) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
! [X0] :
( sQ59_spl
<=> ( c3_2(a439,X0)
| c5_2(a439,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f420,plain,
! [X0] :
( ~ sQ59_spl
| c3_2(a439,X0)
| c5_2(a439,X0) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ0_spl
| sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f70,f416,f419,f182]) ).
fof(f424,definition,
( sQ60_spl
<=> ndr1_1(a440) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ60_spl
| ndr1_1(a440) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ60_spl
| ~ ndr1_1(a440) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
! [X0] :
( sQ61_spl
<=> ( c4_2(a440,X0)
| ~ c3_2(a440,X0)
| c2_2(a440,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f428,plain,
! [X0] :
( ~ sQ61_spl
| c4_2(a440,X0)
| ~ c3_2(a440,X0)
| c2_2(a440,X0) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ61_spl
| ~ sQ60_spl
| sQ32_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f72,f185,f307,f424,f427]) ).
fof(f431,definition,
( sQ62_spl
<=> c5_1(a440) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ62_spl
| c5_1(a440) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ62_spl
| ~ c5_1(a440) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ62_spl
| sQ32_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f73,f185,f307,f431]) ).
fof(f435,definition,
( sQ63_spl
<=> c4_1(a440) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ63_spl
| c4_1(a440) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ63_spl
| sQ32_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f74,f185,f307,f435]) ).
fof(f439,definition,
! [X0] :
( sQ64_spl
<=> ( ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f440,plain,
! [X0] :
( ~ sQ64_spl
| ~ c1_1(X0)
| c2_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f443,definition,
( sQ65_spl
<=> ndr1_1(a441) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ8_spl
| sQ64_spl
| ~ sQ2_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f76,f443,f188,f439,f210]) ).
fof(f447,definition,
( sQ66_spl
<=> c3_2(a441,a442) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ66_spl
| c3_2(a441,a442) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ8_spl
| sQ64_spl
| ~ sQ2_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f77,f447,f188,f439,f210]) ).
fof(f451,definition,
( sQ67_spl
<=> c1_2(a441,a442) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ67_spl
| ~ c1_2(a441,a442) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ8_spl
| sQ64_spl
| ~ sQ2_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f78,f451,f188,f439,f210]) ).
fof(f455,definition,
! [X0] :
( sQ68_spl
<=> ( ~ c4_2(a441,X0)
| c5_2(a441,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f456,plain,
! [X0] :
( ~ sQ68_spl
| ~ c4_2(a441,X0)
| c5_2(a441,X0) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( sQ8_spl
| sQ64_spl
| ~ sQ2_spl
| sQ68_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f79,f443,f455,f188,f439,f210]) ).
fof(f459,definition,
( sQ69_spl
<=> c2_1(a441) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ69_spl
| c2_1(a441) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ8_spl
| sQ64_spl
| ~ sQ2_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f80,f459,f188,f439,f210]) ).
fof(f463,plain,
( sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f84,f217,f188]) ).
fof(f464,definition,
( sQ70_spl
<=> c4_1(a412) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ70_spl
| c4_1(a412) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ70_spl
| ~ c4_1(a412) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ70_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f85,f217,f464]) ).
fof(f468,definition,
( sQ71_spl
<=> ndr1_1(a412) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ71_spl
| ndr1_1(a412) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ71_spl
| ~ ndr1_1(a412) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
! [X0] :
( sQ72_spl
<=> ( c3_2(a412,X0)
| ~ c2_2(a412,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f472,plain,
! [X0] :
( ~ sQ72_spl
| c3_2(a412,X0)
| ~ c2_2(a412,X0) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ72_spl
| ~ sQ71_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f86,f217,f468,f471]) ).
fof(f475,definition,
( sQ73_spl
<=> c2_1(a412) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ73_spl
| c2_1(a412) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( sQ73_spl
| ~ c2_1(a412) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( ~ sQ73_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f87,f217,f475]) ).
fof(f479,plain,
( sQ73_spl
| sQ71_spl
| sQ70_spl
| ~ sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f88,f217,f188,f464,f468,f475]) ).
fof(f480,definition,
( sQ74_spl
<=> c2_2(a412,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ74_spl
| c2_2(a412,sK0_skl) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ74_spl
| ~ c2_2(a412,sK0_skl) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ73_spl
| sQ74_spl
| sQ70_spl
| ~ sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f89,f217,f188,f464,f480,f475]) ).
fof(f484,definition,
( sQ75_spl
<=> c3_2(a412,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ75_spl
| c3_2(a412,sK0_skl) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ75_spl
| ~ c3_2(a412,sK0_skl) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ73_spl
| ~ sQ75_spl
| sQ70_spl
| ~ sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f90,f217,f188,f464,f484,f475]) ).
fof(f488,definition,
! [X0] :
( sQ76_spl
<=> sP4_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f489,plain,
! [X0] :
( ~ sQ76_spl
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f492,definition,
( sQ77_spl
<=> ndr1_1(a416) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ77_spl
| ndr1_1(a416) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ77_spl
| ~ ndr1_1(a416) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
! [X0] :
( sQ78_spl
<=> ( ~ c2_2(a416,X0)
| ~ c5_2(a416,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f496,plain,
! [X0] :
( ~ sQ78_spl
| ~ c2_2(a416,X0)
| ~ c5_2(a416,X0) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ76_spl
| ~ sQ2_spl
| sQ78_spl
| ~ sQ77_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f97,f258,f492,f495,f188,f488]) ).
fof(f499,definition,
( sQ79_spl
<=> c2_1(a416) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ79_spl
| c2_1(a416) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ79_spl
| ~ c2_1(a416) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ76_spl
| ~ sQ2_spl
| sQ79_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f98,f258,f499,f188,f488]) ).
fof(f503,definition,
! [X0] :
( sQ80_spl
<=> c5_2(a416,X0) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ80_spl
| c5_2(a416,X0) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ76_spl
| ~ sQ2_spl
| sQ80_spl
| ~ sQ77_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f99,f258,f492,f503,f188,f488]) ).
fof(f507,plain,
( ~ sQ79_spl
| sQ77_spl
| ~ sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f100,f258,f188,f492,f499]) ).
fof(f508,definition,
( sQ81_spl
<=> c5_2(a416,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ81_spl
| c5_2(a416,sK2_skl) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ81_spl
| ~ c5_2(a416,sK2_skl) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f512,definition,
( sQ82_spl
<=> c5_2(a416,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ82_spl
| c5_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ82_spl
| ~ c5_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f516,plain,
( ~ sQ81_spl
| ~ sQ79_spl
| sQ82_spl
| ~ sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f103,f258,f188,f512,f499,f508]) ).
fof(f517,definition,
( sQ83_spl
<=> c2_2(a416,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ83_spl
| c2_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ83_spl
| ~ c2_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f521,plain,
( ~ sQ81_spl
| ~ sQ79_spl
| sQ83_spl
| ~ sQ2_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f105,f258,f188,f517,f499,f508]) ).
fof(f523,definition,
( sQ84_spl
<=> sP4_prd(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ84_spl
| sP4_prd(sK3_skl) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ84_spl
| ~ sP4_prd(sK3_skl) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ sQ84_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f107,f258,f523]) ).
fof(f527,definition,
! [X0] :
( sQ85_spl
<=> sP5_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f528,plain,
! [X0] :
( ~ sQ85_spl
| sP5_prd(X0) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f531,definition,
( sQ86_spl
<=> ndr1_1(a425) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ85_spl
| ~ sQ2_spl
| sQ86_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f114,f361,f531,f188,f527]) ).
fof(f535,definition,
( sQ87_spl
<=> c2_2(a425,a426) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ87_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f115,f361,f535,f188,f527]) ).
fof(f539,definition,
( sQ88_spl
<=> c4_2(a425,a426) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( sQ85_spl
| ~ sQ2_spl
| sQ88_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f116,f361,f539,f188,f527]) ).
fof(f543,definition,
( sQ89_spl
<=> c5_2(a425,a426) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ89_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f117,f361,f543,f188,f527]) ).
fof(f547,definition,
( sQ90_spl
<=> c3_1(a425) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ90_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f118,f361,f547,f188,f527]) ).
fof(f552,definition,
( sQ91_spl
<=> c5_2(a425,a427) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ91_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f120,f361,f552,f188,f527]) ).
fof(f556,definition,
( sQ92_spl
<=> c3_2(a425,a427) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ92_spl
| c3_2(a425,a427) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( sQ85_spl
| ~ sQ2_spl
| ~ sQ92_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f121,f361,f556,f188,f527]) ).
fof(f560,definition,
( sQ93_spl
<=> c2_2(a425,a427) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ93_spl
| c2_2(a425,a427) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( sQ85_spl
| ~ sQ2_spl
| sQ93_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f122,f361,f560,f188,f527]) ).
fof(f564,plain,
( ~ sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl
| sQ89_spl
| ~ sQ88_spl
| sQ87_spl
| ~ sQ86_spl
| ~ sQ2_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f123,f361,f188,f531,f535,f539,f543,f547,f552,f556,f560]) ).
fof(f566,definition,
( sQ94_spl
<=> sP5_prd(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( sQ94_spl
| ~ sP5_prd(sK4_skl) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ94_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f125,f361,f566]) ).
fof(f570,definition,
( sQ95_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ95_spl
| sP6_prd ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( sQ95_spl
| ~ sP6_prd ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( sQ2_spl
| sQ95_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f129,f395,f570,f188]) ).
fof(f574,definition,
( sQ96_spl
<=> c4_1(a437) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ96_spl
| c4_1(a437) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ96_spl
| ~ c4_1(a437) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( sQ96_spl
| sQ95_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f130,f395,f570,f574]) ).
fof(f578,plain,
( ~ sQ95_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f131,f395,f570]) ).
fof(f579,plain,
( ~ sQ96_spl
| ~ sQ2_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f132,f395,f188,f574]) ).
fof(f580,plain,
( sQ2_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f153,f570,f188]) ).
fof(f581,definition,
( sQ97_spl
<=> ndr1_1(a434) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ97_spl
| ndr1_1(a434) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ97_spl
| ~ ndr1_1(a434) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
! [X0] :
( sQ98_spl
<=> ( ~ c3_2(a434,X0)
| c2_2(a434,X0)
| ~ c4_2(a434,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f585,plain,
! [X0] :
( ~ sQ98_spl
| ~ c3_2(a434,X0)
| c2_2(a434,X0)
| ~ c4_2(a434,X0) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ98_spl
| ~ sQ97_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f154,f570,f581,f584]) ).
fof(f588,plain,
( sQ97_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f155,f570,f581]) ).
fof(f589,definition,
( sQ99_spl
<=> c5_2(a434,a435) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ99_spl
| c5_2(a434,a435) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ99_spl
| ~ c5_2(a434,a435) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( sQ99_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f156,f570,f589]) ).
fof(f593,definition,
( sQ100_spl
<=> c4_2(a434,a435) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ100_spl
| c4_2(a434,a435) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ100_spl
| ~ c4_2(a434,a435) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ100_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f157,f570,f593]) ).
fof(f597,definition,
( sQ101_spl
<=> c3_2(a434,a435) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ101_spl
| c3_2(a434,a435) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( sQ101_spl
| ~ c3_2(a434,a435) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ101_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f158,f570,f597]) ).
fof(f602,definition,
( sQ102_spl
<=> c5_2(a434,a436) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ102_spl
| c5_2(a434,a436) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ102_spl
| ~ c5_2(a434,a436) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ sQ102_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f160,f570,f602]) ).
fof(f606,definition,
( sQ103_spl
<=> c3_2(a434,a436) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ103_spl
| c3_2(a434,a436) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( sQ103_spl
| ~ c3_2(a434,a436) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ103_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f161,f570,f606]) ).
fof(f611,definition,
( sQ104_spl
<=> c4_2(a434,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ104_spl
| c4_2(a434,sK5_skl) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ104_spl
| ~ c4_2(a434,sK5_skl) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( ~ sQ103_spl
| sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ97_spl
| sQ104_spl
| ~ sQ2_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f163,f570,f188,f611,f581,f589,f593,f597,f602,f606]) ).
fof(f615,definition,
( sQ105_spl
<=> c2_2(a434,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( sQ105_spl
| ~ c2_2(a434,sK5_skl) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( ~ sQ103_spl
| sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ97_spl
| ~ sQ105_spl
| ~ sQ2_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f164,f570,f188,f615,f581,f589,f593,f597,f602,f606]) ).
fof(f619,definition,
( sQ106_spl
<=> c3_2(a434,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ106_spl
| c3_2(a434,sK5_skl) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( ~ sQ103_spl
| sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ97_spl
| sQ106_spl
| ~ sQ2_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f165,f570,f188,f619,f581,f589,f593,f597,f602,f606]) ).
fof(f623,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| c1_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ c2_2(X0,X2)
| c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f304]) ).
fof(f624,plain,
! [X0] :
( ~ sQ85_spl
| ~ c4_2(X0,a430)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f146,f528]) ).
fof(f627,plain,
! [X0] :
( ~ sQ85_spl
| ndr1_1(X0)
| sP7_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f528]) ).
fof(f628,plain,
! [X0] :
( ~ sQ85_spl
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f178,f629]) ).
fof(f629,plain,
! [X0] :
( ~ sQ85_spl
| ndr1_1(X0)
| sP8_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f627]) ).
fof(f631,plain,
! [X0] :
( ~ sQ85_spl
| c1_2(X0,a430)
| sP7_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f528]) ).
fof(f632,plain,
! [X0] :
( ~ sQ85_spl
| c5_2(X0,a430)
| sP7_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f528]) ).
fof(f634,plain,
! [X0] :
( ~ sQ85_spl
| c5_2(X0,a429)
| c4_2(X0,a429)
| ~ c1_2(X0,a429)
| sP7_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f627]) ).
fof(f635,plain,
! [X0] :
( ~ sQ85_spl
| c3_2(X0,a428)
| c4_2(X0,a428)
| sP8_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f181,f629]) ).
fof(f637,plain,
( ~ sQ59_spl
| sP8_prd(a439)
| ~ sP7_prd(a439)
| c3_2(a439,a429) ),
inference(resolution,[status(thm)],[f420,f173]) ).
fof(f638,definition,
( sQ107_spl
<=> c3_2(a439,a429) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ107_spl
| c3_2(a439,a429) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ108_spl
<=> sP7_prd(a439) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ108_spl
| sP7_prd(a439) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( sQ108_spl
| ~ sP7_prd(a439) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ109_spl
<=> sP8_prd(a439) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ109_spl
| sP8_prd(a439) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( sQ109_spl
| ~ sP8_prd(a439) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( ~ sQ59_spl
| sQ109_spl
| ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f637,f638,f641,f644,f419]) ).
fof(f648,plain,
( ~ sQ42_spl
| ~ sQ49_spl
| c3_1(a432)
| c2_1(a432)
| c4_2(a432,a424)
| c5_2(a432,a424) ),
inference(resolution,[status(thm)],[f378,f349]) ).
fof(f649,definition,
( sQ110_spl
<=> c5_2(a432,a424) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ110_spl
| c5_2(a432,a424) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ111_spl
<=> c4_2(a432,a424) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ111_spl
| c4_2(a432,a424) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ112_spl
<=> c2_1(a432) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ112_spl
| c2_1(a432) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( sQ112_spl
| ~ c2_1(a432) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ113_spl
<=> c3_1(a432) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ113_spl
| c3_1(a432) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ42_spl
| ~ sQ49_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f648,f649,f652,f655,f658,f377,f348]) ).
fof(f662,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| c3_1(a411)
| c2_1(a411)
| c3_2(a411,a424)
| c1_2(a411,a424) ),
inference(resolution,[status(thm)],[f196,f357]) ).
fof(f664,definition,
( sQ114_spl
<=> c1_2(a411,a424) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ114_spl
| c1_2(a411,a424) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ115_spl
<=> c3_2(a411,a424) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ115_spl
| c3_2(a411,a424) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( sQ115_spl
| ~ c3_2(a411,a424) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ116_spl
<=> c3_1(a411) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ116_spl
| c3_1(a411) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| sQ116_spl
| sQ5_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f662,f664,f667,f199,f670,f195,f356]) ).
fof(f674,definition,
( sQ117_spl
<=> c1_2(a411,a429) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ117_spl
| c1_2(a411,a429) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ118_spl
<=> c3_2(a411,a429) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ118_spl
| c3_2(a411,a429) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ119_spl
<=> sP7_prd(a411) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ119_spl
| sP7_prd(a411) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( sQ119_spl
| ~ sP7_prd(a411) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ120_spl
<=> sP8_prd(a411) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ120_spl
| sP8_prd(a411) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( sQ120_spl
| ~ sP8_prd(a411) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f687,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ31_spl
| c3_2(X0,a428)
| sP8_prd(X0)
| c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| c5_2(X0,a428)
| ~ c2_2(X0,a428)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f623,f635]) ).
fof(f688,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ31_spl
| c3_2(X0,a428)
| sP8_prd(X0)
| c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| c5_2(X0,a428)
| ~ c2_2(X0,a428) ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f629]) ).
fof(f689,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ9_spl
| ~ c3_2(X0,a424)
| c3_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f353,f215]) ).
fof(f690,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ9_spl
| ndr1_1(X0)
| c3_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f342,f215]) ).
fof(f691,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ9_spl
| ~ c4_1(X0)
| c5_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f345,f215]) ).
fof(f692,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ9_spl
| ~ c1_1(X0)
| c5_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f440,f215]) ).
fof(f693,plain,
! [X0] :
( ~ sQ9_spl
| sP4_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f139,f215]) ).
fof(f694,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f215]) ).
fof(f695,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f696,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| c2_2(X0,a417) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f489]) ).
fof(f697,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| ~ c4_2(X0,a417) ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f489]) ).
fof(f698,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f489]) ).
fof(f700,definition,
( sQ121_spl
<=> c2_2(a434,a428) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ121_spl
| c2_2(a434,a428) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ121_spl
| ~ c2_2(a434,a428) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ122_spl
<=> c3_2(a434,a428) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ122_spl
| c3_2(a434,a428) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ122_spl
| ~ c3_2(a434,a428) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ123_spl
<=> sP8_prd(a434) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ123_spl
| sP8_prd(a434) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( sQ123_spl
| ~ sP8_prd(a434) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f710,plain,
( sQ58_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f418,f628]) ).
fof(f711,plain,
( sQ58_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f712,plain,
( sQ84_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f489]) ).
fof(f713,plain,
( sQ84_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f716,plain,
( ~ sQ59_spl
| c3_2(a439,a430)
| c4_2(a439,a430)
| ~ c1_2(a439,a430)
| ~ ndr1_1(a439)
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f149,f420]) ).
fof(f717,definition,
( sQ124_spl
<=> sP5_prd(a439) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ124_spl
| sP5_prd(a439) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( sQ124_spl
| ~ sP5_prd(a439) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ125_spl
<=> c1_2(a439,a430) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( ~ sQ125_spl
| c1_2(a439,a430) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( sQ125_spl
| ~ c1_2(a439,a430) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ126_spl
<=> c4_2(a439,a430) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ126_spl
| c4_2(a439,a430) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( sQ126_spl
| ~ c4_2(a439,a430) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ127_spl
<=> c3_2(a439,a430) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ127_spl
| c3_2(a439,a430) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( ~ sQ59_spl
| sQ127_spl
| sQ126_spl
| ~ sQ125_spl
| ~ sQ58_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f716,f717,f416,f720,f723,f726,f419]) ).
fof(f730,plain,
( ~ sQ72_spl
| ~ sQ42_spl
| c3_2(a412,a424)
| c3_1(a412)
| c2_1(a412) ),
inference(resolution,[status(thm)],[f349,f472]) ).
fof(f731,definition,
( sQ128_spl
<=> c3_1(a412) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ128_spl
| c3_1(a412) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ129_spl
<=> c3_2(a412,a424) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ129_spl
| c3_2(a412,a424) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( sQ129_spl
| ~ c3_2(a412,a424) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ72_spl
| ~ sQ42_spl
| sQ129_spl
| sQ128_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f730,f475,f731,f734,f348,f471]) ).
fof(f738,plain,
( ~ sQ97_spl
| c3_2(a434,a428)
| c4_2(a434,a428)
| sP8_prd(a434) ),
inference(resolution,[status(thm)],[f582,f181]) ).
fof(f739,definition,
( sQ130_spl
<=> c4_2(a434,a428) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ130_spl
| c4_2(a434,a428) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( sQ130_spl
| ~ c4_2(a434,a428) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ97_spl
| sQ122_spl
| sQ130_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f738,f706,f739,f703,f581]) ).
fof(f743,plain,
( ~ sQ98_spl
| ~ sQ100_spl
| ~ c3_2(a434,a435)
| c2_2(a434,a435) ),
inference(resolution,[status(thm)],[f594,f585]) ).
fof(f744,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ100_spl
| c1_2(a434,X0)
| ~ c3_2(a434,X0)
| ~ c2_2(a434,X0)
| c5_2(a434,a435)
| ~ c2_2(a434,a435)
| ~ ndr1_1(a434) ),
inference(resolution,[status(thm)],[f594,f623]) ).
fof(f745,definition,
( sQ131_spl
<=> c2_2(a434,a435) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ131_spl
| c2_2(a434,a435) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ98_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f743,f745,f597,f593,f584]) ).
fof(f749,definition,
! [X0] :
( sQ132_spl
<=> ( c1_2(a434,X0)
| ~ c3_2(a434,X0)
| ~ c2_2(a434,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f750,plain,
! [X0] :
( ~ sQ132_spl
| c1_2(a434,X0)
| ~ c3_2(a434,X0)
| ~ c2_2(a434,X0) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ31_spl
| ~ sQ100_spl
| sQ132_spl
| sQ99_spl
| ~ sQ131_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f744,f581,f745,f589,f749,f593,f303]) ).
fof(f753,plain,
( ~ sQ64_spl
| ~ sQ6_spl
| c2_1(a411)
| c5_1(a411) ),
inference(resolution,[status(thm)],[f204,f440]) ).
fof(f754,definition,
( sQ133_spl
<=> c5_1(a411) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ133_spl
| c5_1(a411) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ sQ64_spl
| ~ sQ6_spl
| sQ5_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f753,f754,f199,f203,f439]) ).
fof(f758,plain,
( ~ sQ26_spl
| c3_2(a420,a428)
| c4_2(a420,a428)
| sP8_prd(a420) ),
inference(resolution,[status(thm)],[f284,f181]) ).
fof(f759,definition,
( sQ134_spl
<=> sP8_prd(a420) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ134_spl
| sP8_prd(a420) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ134_spl
| ~ sP8_prd(a420) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ135_spl
<=> c4_2(a420,a428) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ135_spl
| c4_2(a420,a428) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ136_spl
<=> c3_2(a420,a428) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ136_spl
| c3_2(a420,a428) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( ~ sQ26_spl
| sQ136_spl
| sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f758,f759,f762,f765,f283]) ).
fof(f769,plain,
( ~ sQ109_spl
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f645,f174]) ).
fof(f770,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| c2_1(a420)
| c5_1(a420) ),
inference(resolution,[status(thm)],[f296,f345]) ).
fof(f771,definition,
( sQ137_spl
<=> c2_1(a420) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ137_spl
| c2_1(a420) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| sQ137_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f770,f299,f771,f295,f344]) ).
fof(f775,plain,
( ~ sQ120_spl
| sP7_prd(a411) ),
inference(resolution,[status(thm)],[f684,f174]) ).
fof(f776,plain,
( ~ sQ98_spl
| ~ sQ104_spl
| ~ c3_2(a434,sK5_skl)
| c2_2(a434,sK5_skl) ),
inference(resolution,[status(thm)],[f612,f585]) ).
fof(f777,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ104_spl
| c1_2(a434,X0)
| ~ c3_2(a434,X0)
| ~ c2_2(a434,X0)
| c5_2(a434,sK5_skl)
| ~ c2_2(a434,sK5_skl)
| ~ ndr1_1(a434) ),
inference(resolution,[status(thm)],[f612,f623]) ).
fof(f778,plain,
( ~ sQ98_spl
| ~ sQ104_spl
| ~ sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f776,f615,f619,f611,f584]) ).
fof(f779,definition,
( sQ138_spl
<=> c5_2(a434,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ138_spl
| c5_2(a434,sK5_skl) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ31_spl
| ~ sQ104_spl
| sQ132_spl
| sQ138_spl
| ~ sQ105_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f777,f581,f615,f779,f749,f611,f303]) ).
fof(f783,plain,
( sQ81_spl
| ~ sQ80_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f510,f504]) ).
fof(f784,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| c3_1(a416)
| c2_1(a416) ),
inference(resolution,[status(thm)],[f504,f357]) ).
fof(f785,plain,
( ~ sQ80_spl
| c4_2(a416,a430)
| ~ c1_2(a416,a430)
| ~ ndr1_1(a416)
| sP5_prd(a416) ),
inference(resolution,[status(thm)],[f504,f149]) ).
fof(f786,plain,
( ~ sQ80_spl
| sP8_prd(a416)
| ~ sP7_prd(a416) ),
inference(resolution,[status(thm)],[f504,f173]) ).
fof(f787,plain,
( sQ81_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f788,definition,
( sQ139_spl
<=> c3_1(a416) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ139_spl
| c3_1(a416) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| sQ139_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f784,f499,f788,f503,f356]) ).
fof(f792,definition,
( sQ140_spl
<=> sP5_prd(a416) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ140_spl
| sP5_prd(a416) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f794,plain,
( sQ140_spl
| ~ sP5_prd(a416) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,definition,
( sQ141_spl
<=> c1_2(a416,a430) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ141_spl
| c1_2(a416,a430) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f797,plain,
( sQ141_spl
| ~ c1_2(a416,a430) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,definition,
( sQ142_spl
<=> c4_2(a416,a430) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ142_spl
| c4_2(a416,a430) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f800,plain,
( sQ142_spl
| ~ c4_2(a416,a430) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( ~ sQ80_spl
| sQ142_spl
| ~ sQ141_spl
| ~ sQ77_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f785,f792,f492,f795,f798,f503]) ).
fof(f802,definition,
( sQ143_spl
<=> sP7_prd(a416) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ143_spl
| sP7_prd(a416) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( sQ143_spl
| ~ sP7_prd(a416) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,definition,
( sQ144_spl
<=> sP8_prd(a416) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ144_spl
| sP8_prd(a416) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f807,plain,
( sQ144_spl
| ~ sP8_prd(a416) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( ~ sQ80_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f786,f802,f805,f503]) ).
fof(f809,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| ~ c5_2(a416,sK1_skl) ),
inference(resolution,[status(thm)],[f496,f518]) ).
fof(f810,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| c3_2(a412,sK0_skl) ),
inference(resolution,[status(thm)],[f481,f472]) ).
fof(f811,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f486]) ).
fof(f812,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ41_spl
| ~ sQ63_spl
| c2_1(a440)
| c5_1(a440) ),
inference(resolution,[status(thm)],[f436,f345]) ).
fof(f814,definition,
( sQ145_spl
<=> c2_1(a440) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ145_spl
| c2_1(a440) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( ~ sQ41_spl
| ~ sQ63_spl
| sQ145_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f813,f431,f814,f435,f344]) ).
fof(f818,plain,
( ~ sQ64_spl
| ~ sQ55_spl
| c2_1(a438)
| c5_1(a438) ),
inference(resolution,[status(thm)],[f404,f440]) ).
fof(f819,plain,
( ~ sQ64_spl
| ~ sQ55_spl
| sQ56_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f818,f399,f407,f403,f439]) ).
fof(f820,plain,
( ~ sQ35_spl
| c3_2(a422,a428)
| c4_2(a422,a428)
| sP8_prd(a422) ),
inference(resolution,[status(thm)],[f322,f181]) ).
fof(f821,definition,
( sQ146_spl
<=> sP8_prd(a422) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ146_spl
| sP8_prd(a422) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( sQ146_spl
| ~ sP8_prd(a422) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,definition,
( sQ147_spl
<=> c4_2(a422,a428) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ147_spl
| c4_2(a422,a428) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,definition,
( sQ148_spl
<=> c3_2(a422,a428) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ148_spl
| c3_2(a422,a428) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( ~ sQ35_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f820,f821,f824,f827,f321]) ).
fof(f831,plain,
( ~ sQ22_spl
| c3_2(a418,a428)
| c4_2(a418,a428)
| sP8_prd(a418) ),
inference(resolution,[status(thm)],[f267,f181]) ).
fof(f832,definition,
( sQ149_spl
<=> sP8_prd(a418) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ149_spl
| sP8_prd(a418) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ149_spl
| ~ sP8_prd(a418) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ150_spl
<=> c4_2(a418,a428) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ150_spl
| c4_2(a418,a428) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ151_spl
<=> c3_2(a418,a428) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ151_spl
| c3_2(a418,a428) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( ~ sQ22_spl
| sQ151_spl
| sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f831,f832,f835,f838,f266]) ).
fof(f842,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| c5_2(a413,a414) ),
inference(resolution,[status(thm)],[f238,f242]) ).
fof(f843,plain,
( ~ sQ116_spl
| ~ sQ7_spl
| c5_1(a411) ),
inference(resolution,[status(thm)],[f208,f671]) ).
fof(f844,plain,
( ~ sQ113_spl
| ~ sQ7_spl
| c5_1(a432) ),
inference(resolution,[status(thm)],[f208,f659]) ).
fof(f845,plain,
( ~ sQ46_spl
| ~ sQ7_spl
| c5_1(a431) ),
inference(resolution,[status(thm)],[f208,f366]) ).
fof(f846,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ7_spl
| ndr1_1(X0)
| c2_1(X0)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f208,f342]) ).
fof(f847,plain,
( ~ sQ41_spl
| ~ sQ96_spl
| c2_1(a437)
| c5_1(a437) ),
inference(resolution,[status(thm)],[f575,f345]) ).
fof(f848,definition,
( sQ152_spl
<=> c5_1(a437) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ152_spl
| c5_1(a437) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ153_spl
<=> c2_1(a437) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ153_spl
| c2_1(a437) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( ~ sQ41_spl
| ~ sQ96_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f847,f848,f851,f574,f344]) ).
fof(f855,plain,
( ~ sQ78_spl
| ~ sQ42_spl
| ~ c5_2(a416,a424)
| c3_1(a416)
| c2_1(a416) ),
inference(resolution,[status(thm)],[f349,f496]) ).
fof(f858,definition,
( sQ154_spl
<=> c5_2(a416,a424) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( sQ154_spl
| ~ c5_2(a416,a424) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( ~ sQ78_spl
| ~ sQ42_spl
| ~ sQ154_spl
| sQ139_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f855,f499,f788,f858,f348,f495]) ).
fof(f864,plain,
( sQ84_spl
| c2_1(sK3_skl) ),
inference(resolution,[status(thm)],[f525,f139]) ).
fof(f865,plain,
( ~ sQ124_spl
| c1_2(a439,a430)
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f718,f145]) ).
fof(f866,plain,
( ~ sQ124_spl
| c5_2(a439,a430)
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f718,f147]) ).
fof(f867,plain,
( ~ sQ124_spl
| ndr1_1(a439)
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f718,f144]) ).
fof(f868,plain,
( ~ sQ124_spl
| sQ125_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f865,f641,f720,f717]) ).
fof(f869,definition,
( sQ155_spl
<=> c5_2(a439,a430) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ155_spl
| c5_2(a439,a430) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( ~ sQ124_spl
| sQ155_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f866,f641,f869,f717]) ).
fof(f873,plain,
( ~ sQ124_spl
| sQ58_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f867,f641,f416,f717]) ).
fof(f874,plain,
( ~ sQ44_spl
| ~ sQ59_spl
| c3_1(a439)
| c2_1(a439)
| c3_2(a439,a424) ),
inference(resolution,[status(thm)],[f420,f357]) ).
fof(f877,definition,
( sQ156_spl
<=> c3_2(a439,a424) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ156_spl
| c3_2(a439,a424) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( sQ156_spl
| ~ c3_2(a439,a424) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ157_spl
<=> c2_1(a439) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ157_spl
| c2_1(a439) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ158_spl
<=> c3_1(a439) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ158_spl
| c3_1(a439) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( ~ sQ44_spl
| ~ sQ59_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f874,f877,f880,f883,f419,f356]) ).
fof(f889,plain,
( ~ sQ7_spl
| ~ sQ128_spl
| c5_1(a412) ),
inference(resolution,[status(thm)],[f732,f208]) ).
fof(f890,plain,
( ~ sQ123_spl
| sP7_prd(a434) ),
inference(resolution,[status(thm)],[f707,f174]) ).
fof(f891,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f170,f178]) ).
fof(f892,plain,
( ~ sQ123_spl
| ndr1_1(a434) ),
inference(resolution,[status(thm)],[f178,f707]) ).
fof(f893,plain,
( ~ sQ120_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f178,f684]) ).
fof(f894,plain,
( ~ sQ109_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f178,f645]) ).
fof(f895,plain,
( ~ sQ120_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f194]) ).
fof(f896,plain,
( ~ sQ120_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f895]) ).
fof(f899,plain,
( ~ sQ77_spl
| c3_2(a416,a428)
| c4_2(a416,a428)
| sP8_prd(a416) ),
inference(resolution,[status(thm)],[f493,f181]) ).
fof(f900,definition,
( sQ159_spl
<=> c4_2(a416,a428) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ159_spl
| c4_2(a416,a428) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f902,plain,
( sQ159_spl
| ~ c4_2(a416,a428) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ160_spl
<=> c3_2(a416,a428) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ160_spl
| c3_2(a416,a428) ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f905,plain,
( sQ160_spl
| ~ c3_2(a416,a428) ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,plain,
( ~ sQ77_spl
| sQ160_spl
| sQ159_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f899,f805,f900,f903,f492]) ).
fof(f907,plain,
( ~ sQ71_spl
| c3_2(a412,a428)
| c4_2(a412,a428)
| sP8_prd(a412) ),
inference(resolution,[status(thm)],[f469,f181]) ).
fof(f908,definition,
( sQ161_spl
<=> sP8_prd(a412) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ161_spl
| sP8_prd(a412) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( sQ161_spl
| ~ sP8_prd(a412) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
( sQ162_spl
<=> c4_2(a412,a428) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ162_spl
| c4_2(a412,a428) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,definition,
( sQ163_spl
<=> c3_2(a412,a428) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ163_spl
| c3_2(a412,a428) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( ~ sQ71_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f907,f908,f911,f914,f468]) ).
fof(f918,plain,
( ~ sQ58_spl
| c3_2(a439,a428)
| c4_2(a439,a428)
| sP8_prd(a439) ),
inference(resolution,[status(thm)],[f417,f181]) ).
fof(f919,definition,
( sQ164_spl
<=> c4_2(a439,a428) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ164_spl
| c4_2(a439,a428) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( sQ164_spl
| ~ c4_2(a439,a428) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ165_spl
<=> c3_2(a439,a428) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ165_spl
| c3_2(a439,a428) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( sQ165_spl
| ~ c3_2(a439,a428) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( ~ sQ58_spl
| sQ165_spl
| sQ164_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f918,f644,f919,f922,f416]) ).
fof(f926,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP5_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f144,f891]) ).
fof(f927,plain,
( ~ sQ3_spl
| c3_2(a411,a428)
| c4_2(a411,a428)
| sP8_prd(a411) ),
inference(resolution,[status(thm)],[f193,f181]) ).
fof(f928,definition,
( sQ166_spl
<=> c4_2(a411,a428) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ166_spl
| c4_2(a411,a428) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( sQ166_spl
| ~ c4_2(a411,a428) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ167_spl
<=> c3_2(a411,a428) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ167_spl
| c3_2(a411,a428) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f933,plain,
( sQ167_spl
| ~ c3_2(a411,a428) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( ~ sQ3_spl
| sQ167_spl
| sQ166_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f927,f683,f928,f931,f192]) ).
fof(f935,plain,
( ~ sQ44_spl
| ~ sQ110_spl
| c3_1(a432)
| c2_1(a432) ),
inference(resolution,[status(thm)],[f650,f357]) ).
fof(f936,plain,
( ~ sQ44_spl
| ~ sQ110_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f935,f655,f658,f649,f356]) ).
fof(f937,plain,
( ~ sQ134_spl
| ndr1_1(a420) ),
inference(resolution,[status(thm)],[f760,f178]) ).
fof(f938,plain,
( ~ sQ134_spl
| sP7_prd(a420) ),
inference(resolution,[status(thm)],[f760,f174]) ).
fof(f939,plain,
( ~ sQ109_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f769,f891]) ).
fof(f940,plain,
( ~ sQ109_spl
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f769,f148]) ).
fof(f942,plain,
( ~ sQ109_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f939,f416,f644]) ).
fof(f943,plain,
( ~ sQ109_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f940,f717,f644]) ).
fof(f944,definition,
( sQ168_spl
<=> c1_2(a439,a429) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ168_spl
| c1_2(a439,a429) ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f948,plain,
! [X0] :
( ~ sQ85_spl
| ~ c4_2(X0,a430)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f146,f528]) ).
fof(f949,plain,
( sQ94_spl
| ~ sQ85_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f568,f528]) ).
fof(f950,plain,
! [X0] :
( ~ sQ85_spl
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f926,f528]) ).
fof(f951,plain,
! [X0] :
( ~ sQ85_spl
| c1_2(X0,a430)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f145,f528]) ).
fof(f952,plain,
! [X0] :
( ~ sQ85_spl
| c5_2(X0,a430)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f147,f528]) ).
fof(f953,plain,
( sQ94_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f954,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f513]) ).
fof(f955,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( ~ sQ144_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f806,f178]) ).
fof(f957,plain,
( ~ sQ144_spl
| sP7_prd(a416) ),
inference(resolution,[status(thm)],[f806,f174]) ).
fof(f962,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ31_spl
| c1_2(a432,X0)
| ~ c3_2(a432,X0)
| ~ c2_2(a432,X0)
| c5_2(a432,a424)
| ~ c2_2(a432,a424)
| ~ ndr1_1(a432) ),
inference(resolution,[status(thm)],[f623,f653]) ).
fof(f963,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ31_spl
| c1_2(a418,X0)
| ~ c3_2(a418,X0)
| ~ c2_2(a418,X0)
| c5_2(a418,a419)
| ~ c2_2(a418,a419)
| ~ ndr1_1(a418) ),
inference(resolution,[status(thm)],[f623,f271]) ).
fof(f965,definition,
( sQ169_spl
<=> c2_2(a432,a424) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ169_spl
| c2_2(a432,a424) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f967,plain,
( sQ169_spl
| ~ c2_2(a432,a424) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
! [X0] :
( sQ170_spl
<=> ( c1_2(a432,X0)
| ~ c3_2(a432,X0)
| ~ c2_2(a432,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f969,plain,
! [X0] :
( ~ sQ170_spl
| c1_2(a432,X0)
| ~ c3_2(a432,X0)
| ~ c2_2(a432,X0) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,plain,
( ~ sQ111_spl
| ~ sQ31_spl
| sQ170_spl
| sQ110_spl
| ~ sQ169_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f962,f374,f965,f649,f968,f303,f652]) ).
fof(f972,definition,
( sQ171_spl
<=> c2_2(a418,a419) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( sQ171_spl
| ~ c2_2(a418,a419) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
! [X0] :
( sQ172_spl
<=> ( c1_2(a418,X0)
| ~ c3_2(a418,X0)
| ~ c2_2(a418,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f976,plain,
! [X0] :
( ~ sQ172_spl
| c1_2(a418,X0)
| ~ c3_2(a418,X0)
| ~ c2_2(a418,X0) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( ~ sQ23_spl
| ~ sQ31_spl
| sQ172_spl
| sQ24_spl
| ~ sQ171_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f963,f266,f972,f274,f975,f303,f270]) ).
fof(f986,plain,
( ~ sQ140_spl
| c5_2(a416,a430)
| sP7_prd(a416) ),
inference(resolution,[status(thm)],[f793,f147]) ).
fof(f987,plain,
( ~ sQ140_spl
| c1_2(a416,a430)
| sP7_prd(a416) ),
inference(resolution,[status(thm)],[f793,f145]) ).
fof(f988,plain,
( ~ sQ140_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f793,f926]) ).
fof(f989,definition,
( sQ173_spl
<=> c5_2(a416,a430) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ173_spl
| c5_2(a416,a430) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( ~ sQ140_spl
| sQ173_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f986,f802,f989,f792]) ).
fof(f993,plain,
( ~ sQ140_spl
| sQ141_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f987,f802,f795,f792]) ).
fof(f994,plain,
( ~ sQ7_spl
| ~ sQ139_spl
| c5_1(a416) ),
inference(resolution,[status(thm)],[f789,f208]) ).
fof(f995,plain,
( ~ sQ146_spl
| ndr1_1(a422) ),
inference(resolution,[status(thm)],[f822,f178]) ).
fof(f996,plain,
( ~ sQ146_spl
| sP7_prd(a422) ),
inference(resolution,[status(thm)],[f822,f174]) ).
fof(f997,plain,
( ~ sQ149_spl
| ndr1_1(a418) ),
inference(resolution,[status(thm)],[f833,f178]) ).
fof(f998,plain,
( ~ sQ149_spl
| sP7_prd(a418) ),
inference(resolution,[status(thm)],[f833,f174]) ).
fof(f999,plain,
( ~ sQ117_spl
| c5_2(a411,a429)
| c4_2(a411,a429)
| ~ ndr1_1(a411)
| sP7_prd(a411) ),
inference(resolution,[status(thm)],[f675,f175]) ).
fof(f1000,definition,
( sQ174_spl
<=> c4_2(a411,a429) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ174_spl
| c4_2(a411,a429) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( sQ174_spl
| ~ c4_2(a411,a429) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,definition,
( sQ175_spl
<=> c5_2(a411,a429) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ175_spl
| c5_2(a411,a429) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( ~ sQ117_spl
| sQ175_spl
| sQ174_spl
| ~ sQ3_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f999,f680,f192,f1000,f1003,f674]) ).
fof(f1007,plain,
( ~ sQ43_spl
| ~ sQ115_spl
| c3_1(a411)
| c2_1(a411) ),
inference(resolution,[status(thm)],[f668,f353]) ).
fof(f1008,plain,
( ~ sQ43_spl
| ~ sQ115_spl
| sQ116_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1007,f199,f670,f667,f352]) ).
fof(f1009,plain,
( ~ sQ126_spl
| sP7_prd(a439)
| ~ sP5_prd(a439) ),
inference(resolution,[status(thm)],[f724,f146]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ126_spl
| c1_2(a439,X0)
| ~ c3_2(a439,X0)
| ~ c2_2(a439,X0)
| c5_2(a439,a430)
| ~ c2_2(a439,a430)
| ~ ndr1_1(a439) ),
inference(resolution,[status(thm)],[f724,f623]) ).
fof(f1011,plain,
( ~ sQ126_spl
| sQ108_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f1009,f717,f641,f723]) ).
fof(f1012,definition,
( sQ176_spl
<=> c2_2(a439,a430) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( sQ176_spl
| ~ c2_2(a439,a430) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
! [X0] :
( sQ177_spl
<=> ( c1_2(a439,X0)
| ~ c3_2(a439,X0)
| ~ c2_2(a439,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ177_spl
| c1_2(a439,X0)
| ~ c3_2(a439,X0)
| ~ c2_2(a439,X0) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( ~ sQ31_spl
| ~ sQ126_spl
| sQ177_spl
| sQ155_spl
| ~ sQ176_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1010,f416,f1012,f869,f1015,f723,f303]) ).
fof(f1019,plain,
( ~ sQ43_spl
| ~ sQ129_spl
| c3_1(a412)
| c2_1(a412) ),
inference(resolution,[status(thm)],[f735,f353]) ).
fof(f1020,plain,
( ~ sQ43_spl
| ~ sQ129_spl
| sQ128_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1019,f475,f731,f734,f352]) ).
fof(f1021,plain,
( ~ sQ122_spl
| ~ sP8_prd(a434) ),
inference(resolution,[status(thm)],[f704,f180]) ).
fof(f1022,plain,
( ~ sQ122_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f707]) ).
fof(f1023,plain,
( ~ sQ122_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( ~ sQ98_spl
| ~ sQ130_spl
| ~ c3_2(a434,a428)
| c2_2(a434,a428) ),
inference(resolution,[status(thm)],[f740,f585]) ).
fof(f1025,plain,
( ~ sQ130_spl
| ~ sP8_prd(a434) ),
inference(resolution,[status(thm)],[f740,f179]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ130_spl
| c1_2(a434,X0)
| ~ c3_2(a434,X0)
| ~ c2_2(a434,X0)
| c5_2(a434,a428)
| ~ c2_2(a434,a428)
| ~ ndr1_1(a434) ),
inference(resolution,[status(thm)],[f740,f623]) ).
fof(f1027,plain,
( ~ sQ98_spl
| ~ sQ130_spl
| ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1024,f700,f703,f739,f584]) ).
fof(f1028,definition,
( sQ178_spl
<=> c5_2(a434,a428) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ178_spl
| c5_2(a434,a428) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ31_spl
| ~ sQ130_spl
| sQ132_spl
| sQ178_spl
| ~ sQ121_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1026,f581,f700,f1028,f749,f739,f303]) ).
fof(f1032,plain,
( ~ sQ108_spl
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f642,f148]) ).
fof(f1033,plain,
( ~ sQ108_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f642,f891]) ).
fof(f1034,plain,
( ~ sQ108_spl
| c1_2(a439,a429)
| sP8_prd(a439) ),
inference(resolution,[status(thm)],[f642,f171]) ).
fof(f1035,plain,
( ~ sQ108_spl
| sQ168_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1034,f644,f944,f641]) ).
fof(f1036,plain,
( ~ sQ7_spl
| ~ sQ158_spl
| c5_1(a439) ),
inference(resolution,[status(thm)],[f884,f208]) ).
fof(f1037,plain,
( ~ sQ161_spl
| ndr1_1(a412) ),
inference(resolution,[status(thm)],[f909,f178]) ).
fof(f1038,plain,
( ~ sQ161_spl
| sP7_prd(a412) ),
inference(resolution,[status(thm)],[f909,f174]) ).
fof(f1039,plain,
( ~ sQ161_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1037,f468,f908]) ).
fof(f1040,plain,
( ~ sQ134_spl
| sP5_prd(a420) ),
inference(resolution,[status(thm)],[f938,f148]) ).
fof(f1041,plain,
( ~ sQ134_spl
| ndr1_1(a420) ),
inference(resolution,[status(thm)],[f938,f891]) ).
fof(f1049,plain,
( ~ sQ124_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f718,f926]) ).
fof(f1052,plain,
( ~ sQ41_spl
| ~ sQ70_spl
| c2_1(a412)
| c5_1(a412) ),
inference(resolution,[status(thm)],[f465,f345]) ).
fof(f1053,definition,
( sQ180_spl
<=> c5_1(a412) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ180_spl
| c5_1(a412) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,plain,
( ~ sQ41_spl
| ~ sQ70_spl
| sQ73_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1052,f1053,f475,f464,f344]) ).
fof(f1059,plain,
( ~ sQ12_spl
| c3_2(a413,a428)
| c4_2(a413,a428)
| sP8_prd(a413) ),
inference(resolution,[status(thm)],[f226,f181]) ).
fof(f1060,definition,
( sQ181_spl
<=> sP8_prd(a413) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ181_spl
| sP8_prd(a413) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ181_spl
| ~ sP8_prd(a413) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ182_spl
<=> c4_2(a413,a428) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ182_spl
| c4_2(a413,a428) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ183_spl
<=> c3_2(a413,a428) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ183_spl
| c3_2(a413,a428) ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( ~ sQ12_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1059,f1060,f1063,f1066,f225]) ).
fof(f1070,plain,
( ~ sQ42_spl
| ~ sQ132_spl
| c3_1(a434)
| c2_1(a434)
| c1_2(a434,a424)
| ~ c3_2(a434,a424) ),
inference(resolution,[status(thm)],[f750,f349]) ).
fof(f1071,definition,
( sQ184_spl
<=> c3_2(a434,a424) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ184_spl
| ~ c3_2(a434,a424) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,definition,
( sQ185_spl
<=> c1_2(a434,a424) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
( ~ sQ185_spl
| c1_2(a434,a424) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,definition,
( sQ186_spl
<=> c2_1(a434) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ186_spl
| c2_1(a434) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,definition,
( sQ187_spl
<=> c3_1(a434) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ187_spl
| c3_1(a434) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( ~ sQ42_spl
| ~ sQ132_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1070,f1071,f1074,f1077,f1080,f749,f348]) ).
fof(f1084,plain,
( ~ sQ132_spl
| ~ sQ131_spl
| c1_2(a434,a435)
| ~ c3_2(a434,a435) ),
inference(resolution,[status(thm)],[f746,f750]) ).
fof(f1085,definition,
( sQ188_spl
<=> c1_2(a434,a435) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ188_spl
| c1_2(a434,a435) ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,plain,
( ~ sQ132_spl
| ~ sQ131_spl
| sQ188_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1084,f597,f1085,f745,f749]) ).
fof(f1089,plain,
( ~ sQ136_spl
| ~ sP8_prd(a420) ),
inference(resolution,[status(thm)],[f766,f180]) ).
fof(f1090,plain,
( ~ sQ136_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f760]) ).
fof(f1091,plain,
( ~ sQ136_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( ~ sQ135_spl
| ~ sP8_prd(a420) ),
inference(resolution,[status(thm)],[f763,f179]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ135_spl
| c1_2(a420,X0)
| ~ c3_2(a420,X0)
| ~ c2_2(a420,X0)
| c5_2(a420,a428)
| ~ c2_2(a420,a428)
| ~ ndr1_1(a420) ),
inference(resolution,[status(thm)],[f763,f623]) ).
fof(f1094,definition,
( sQ189_spl
<=> c2_2(a420,a428) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ189_spl
| ~ c2_2(a420,a428) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,definition,
( sQ190_spl
<=> c5_2(a420,a428) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( ~ sQ190_spl
| c5_2(a420,a428) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,definition,
! [X0] :
( sQ191_spl
<=> ( c1_2(a420,X0)
| ~ c3_2(a420,X0)
| ~ c2_2(a420,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ191_spl
| c1_2(a420,X0)
| ~ c3_2(a420,X0)
| ~ c2_2(a420,X0) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,plain,
( ~ sQ31_spl
| ~ sQ135_spl
| sQ191_spl
| sQ190_spl
| ~ sQ189_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1093,f283,f1094,f1097,f1100,f762,f303]) ).
fof(f1104,plain,
( ~ sQ142_spl
| sP7_prd(a416)
| ~ sP5_prd(a416) ),
inference(resolution,[status(thm)],[f799,f146]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ142_spl
| c1_2(a416,X0)
| ~ c3_2(a416,X0)
| ~ c2_2(a416,X0)
| c5_2(a416,a430)
| ~ c2_2(a416,a430)
| ~ ndr1_1(a416) ),
inference(resolution,[status(thm)],[f799,f623]) ).
fof(f1106,plain,
( ~ sQ142_spl
| sQ143_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f1104,f792,f802,f798]) ).
fof(f1107,definition,
( sQ192_spl
<=> c2_2(a416,a430) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( sQ192_spl
| ~ c2_2(a416,a430) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,definition,
! [X0] :
( sQ193_spl
<=> ( c1_2(a416,X0)
| ~ c3_2(a416,X0)
| ~ c2_2(a416,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ193_spl
| c1_2(a416,X0)
| ~ c3_2(a416,X0)
| ~ c2_2(a416,X0) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( ~ sQ31_spl
| ~ sQ142_spl
| sQ193_spl
| sQ173_spl
| ~ sQ192_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1105,f492,f1107,f989,f1110,f798,f303]) ).
fof(f1114,plain,
( ~ sQ148_spl
| ~ sP8_prd(a422) ),
inference(resolution,[status(thm)],[f828,f180]) ).
fof(f1115,plain,
( ~ sQ148_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f822]) ).
fof(f1116,plain,
( ~ sQ148_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( ~ sQ147_spl
| ~ sP8_prd(a422) ),
inference(resolution,[status(thm)],[f825,f179]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ147_spl
| c1_2(a422,X0)
| ~ c3_2(a422,X0)
| ~ c2_2(a422,X0)
| c5_2(a422,a428)
| ~ c2_2(a422,a428)
| ~ ndr1_1(a422) ),
inference(resolution,[status(thm)],[f825,f623]) ).
fof(f1119,definition,
( sQ194_spl
<=> c2_2(a422,a428) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( sQ194_spl
| ~ c2_2(a422,a428) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,definition,
( sQ195_spl
<=> c5_2(a422,a428) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ195_spl
| c5_2(a422,a428) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,definition,
! [X0] :
( sQ196_spl
<=> ( c1_2(a422,X0)
| ~ c3_2(a422,X0)
| ~ c2_2(a422,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ196_spl
| c1_2(a422,X0)
| ~ c3_2(a422,X0)
| ~ c2_2(a422,X0) ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,plain,
( ~ sQ31_spl
| ~ sQ147_spl
| sQ196_spl
| sQ195_spl
| ~ sQ194_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1118,f321,f1119,f1122,f1125,f824,f303]) ).
fof(f1129,plain,
( ~ sQ151_spl
| ~ sP8_prd(a418) ),
inference(resolution,[status(thm)],[f839,f180]) ).
fof(f1130,plain,
( ~ sQ151_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f833]) ).
fof(f1131,plain,
( ~ sQ151_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
( ~ sQ150_spl
| ~ sP8_prd(a418) ),
inference(resolution,[status(thm)],[f836,f179]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ150_spl
| c1_2(a418,X0)
| ~ c3_2(a418,X0)
| ~ c2_2(a418,X0)
| c5_2(a418,a428)
| ~ c2_2(a418,a428)
| ~ ndr1_1(a418) ),
inference(resolution,[status(thm)],[f836,f623]) ).
fof(f1134,definition,
( sQ197_spl
<=> c2_2(a418,a428) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( sQ197_spl
| ~ c2_2(a418,a428) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ198_spl
<=> c5_2(a418,a428) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ198_spl
| c5_2(a418,a428) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,plain,
( ~ sQ31_spl
| ~ sQ150_spl
| sQ172_spl
| sQ198_spl
| ~ sQ197_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1133,f266,f1134,f1137,f975,f835,f303]) ).
fof(f1141,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f235]) ).
fof(f1142,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( ~ sQ9_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f693,f488,f214]) ).
fof(f1144,plain,
( ~ sQ144_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f956,f492,f805]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| ~ c4_2(X0,a417) ),
inference(backward_subsumption_resolution,[status(thm)],[f136,f489]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| c2_2(X0,a417) ),
inference(backward_subsumption_resolution,[status(thm)],[f137,f489]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ76_spl
| ~ c2_1(X0)
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f135,f489]) ).
fof(f1156,plain,
( ~ sQ109_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f645,f178]) ).
fof(f1157,plain,
( ~ sQ109_spl
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f645,f174]) ).
fof(f1158,plain,
( ~ sQ157_spl
| ~ sQ76_spl
| c2_2(a439,a417) ),
inference(resolution,[status(thm)],[f696,f881]) ).
fof(f1159,plain,
( ~ sQ153_spl
| ~ sQ76_spl
| c2_2(a437,a417) ),
inference(resolution,[status(thm)],[f696,f852]) ).
fof(f1160,plain,
( ~ sQ145_spl
| ~ sQ76_spl
| c2_2(a440,a417) ),
inference(resolution,[status(thm)],[f696,f815]) ).
fof(f1161,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| c2_2(a416,a417) ),
inference(resolution,[status(thm)],[f696,f500]) ).
fof(f1162,plain,
( ~ sQ137_spl
| ~ sQ76_spl
| c2_2(a420,a417) ),
inference(resolution,[status(thm)],[f696,f772]) ).
fof(f1163,plain,
( ~ sQ17_spl
| ~ sQ76_spl
| c2_2(a415,a417) ),
inference(resolution,[status(thm)],[f696,f247]) ).
fof(f1164,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| c2_2(a418,a417) ),
inference(resolution,[status(thm)],[f696,f263]) ).
fof(f1165,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| c2_2(a438,a417) ),
inference(resolution,[status(thm)],[f696,f408]) ).
fof(f1166,plain,
( ~ sQ69_spl
| ~ sQ76_spl
| c2_2(a441,a417) ),
inference(resolution,[status(thm)],[f696,f460]) ).
fof(f1167,plain,
( ~ sQ112_spl
| ~ sQ76_spl
| c2_2(a432,a417) ),
inference(resolution,[status(thm)],[f696,f656]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ7_spl
| ~ sQ76_spl
| ndr1_1(X0)
| c5_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f846,f698]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ76_spl
| ndr1_1(X0)
| c3_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f342,f698]) ).
fof(f1170,plain,
( ~ sQ157_spl
| ~ sQ76_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f698,f881]) ).
fof(f1171,plain,
( ~ sQ153_spl
| ~ sQ76_spl
| ndr1_1(a437) ),
inference(resolution,[status(thm)],[f698,f852]) ).
fof(f1172,plain,
( ~ sQ145_spl
| ~ sQ76_spl
| ndr1_1(a440) ),
inference(resolution,[status(thm)],[f698,f815]) ).
fof(f1173,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f698,f500]) ).
fof(f1174,plain,
( ~ sQ137_spl
| ~ sQ76_spl
| ndr1_1(a420) ),
inference(resolution,[status(thm)],[f698,f772]) ).
fof(f1175,plain,
( ~ sQ17_spl
| ~ sQ76_spl
| ndr1_1(a415) ),
inference(resolution,[status(thm)],[f698,f247]) ).
fof(f1176,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| ndr1_1(a418) ),
inference(resolution,[status(thm)],[f698,f263]) ).
fof(f1177,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| ndr1_1(a438) ),
inference(resolution,[status(thm)],[f698,f408]) ).
fof(f1178,plain,
( ~ sQ69_spl
| ~ sQ76_spl
| ndr1_1(a441) ),
inference(resolution,[status(thm)],[f698,f460]) ).
fof(f1179,plain,
( ~ sQ112_spl
| ~ sQ76_spl
| ndr1_1(a432) ),
inference(resolution,[status(thm)],[f698,f656]) ).
fof(f1180,plain,
( ~ sQ145_spl
| ~ sQ76_spl
| sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f426]) ).
fof(f1181,plain,
( ~ sQ145_spl
| ~ sQ76_spl
| sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( ~ sQ137_spl
| ~ sQ76_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1174,f283,f488,f771]) ).
fof(f1183,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1176,f266,f488,f262]) ).
fof(f1184,plain,
( ~ sQ112_spl
| ~ sQ76_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f376]) ).
fof(f1185,plain,
( ~ sQ112_spl
| ~ sQ76_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( ~ sQ76_spl
| ~ sQ5_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f200,f698]) ).
fof(f1187,plain,
( ~ sQ76_spl
| ~ sQ5_spl
| c2_2(a411,a417) ),
inference(resolution,[status(thm)],[f200,f696]) ).
fof(f1188,plain,
( ~ sQ144_spl
| sP5_prd(a416) ),
inference(resolution,[status(thm)],[f957,f148]) ).
fof(f1189,plain,
( ~ sQ144_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f957,f891]) ).
fof(f1191,plain,
( ~ sQ144_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1188,f792,f805]) ).
fof(f1192,definition,
( sQ199_spl
<=> c1_2(a416,a429) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ199_spl
| c1_2(a416,a429) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1196,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| c3_2(a412,sK0_skl) ),
inference(resolution,[status(thm)],[f472,f481]) ).
fof(f1201,plain,
( ~ sQ60_spl
| c3_2(a440,a428)
| c4_2(a440,a428)
| sP8_prd(a440) ),
inference(resolution,[status(thm)],[f425,f181]) ).
fof(f1202,definition,
( sQ200_spl
<=> sP8_prd(a440) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ200_spl
| sP8_prd(a440) ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1204,plain,
( sQ200_spl
| ~ sP8_prd(a440) ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,definition,
( sQ201_spl
<=> c4_2(a440,a428) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ201_spl
| c4_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,definition,
( sQ202_spl
<=> c3_2(a440,a428) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ202_spl
| c3_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( sQ202_spl
| ~ c3_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,plain,
( ~ sQ60_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1201,f1202,f1205,f1208,f424]) ).
fof(f1217,plain,
( ~ sQ48_spl
| c3_2(a432,a428)
| c4_2(a432,a428)
| sP8_prd(a432) ),
inference(resolution,[status(thm)],[f375,f181]) ).
fof(f1218,definition,
( sQ203_spl
<=> sP8_prd(a432) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ203_spl
| sP8_prd(a432) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( sQ203_spl
| ~ sP8_prd(a432) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ204_spl
<=> c4_2(a432,a428) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ204_spl
| c4_2(a432,a428) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ205_spl
<=> c3_2(a432,a428) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ205_spl
| c3_2(a432,a428) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,plain,
( ~ sQ48_spl
| sQ205_spl
| sQ204_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1217,f1218,f1221,f1224,f374]) ).
fof(f1231,plain,
( ~ sQ119_spl
| sP5_prd(a411) ),
inference(resolution,[status(thm)],[f681,f148]) ).
fof(f1232,plain,
( ~ sQ119_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f681,f891]) ).
fof(f1233,plain,
( ~ sQ119_spl
| c1_2(a411,a429)
| sP8_prd(a411) ),
inference(resolution,[status(thm)],[f681,f171]) ).
fof(f1234,plain,
( ~ sQ119_spl
| sQ117_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1233,f683,f674,f680]) ).
fof(f1235,plain,
( ~ sQ123_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f1025]) ).
fof(f1236,plain,
( ~ sQ123_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( ~ sQ123_spl
| sP5_prd(a434) ),
inference(resolution,[status(thm)],[f890,f148]) ).
fof(f1238,plain,
( ~ sQ123_spl
| ndr1_1(a434) ),
inference(resolution,[status(thm)],[f890,f891]) ).
fof(f1244,plain,
( ~ sQ161_spl
| sP5_prd(a412) ),
inference(resolution,[status(thm)],[f1038,f148]) ).
fof(f1245,plain,
( ~ sQ161_spl
| ndr1_1(a412) ),
inference(resolution,[status(thm)],[f1038,f891]) ).
fof(f1251,plain,
( ~ sQ43_spl
| ~ sQ156_spl
| c3_1(a439)
| c2_1(a439) ),
inference(resolution,[status(thm)],[f878,f353]) ).
fof(f1252,plain,
( ~ sQ43_spl
| ~ sQ156_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1251,f880,f883,f877,f352]) ).
fof(f1253,plain,
( ~ sQ160_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f904,f180]) ).
fof(f1254,plain,
( ~ sQ160_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f806]) ).
fof(f1255,plain,
( ~ sQ160_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1173,f492,f488,f499]) ).
fof(f1260,plain,
( ~ sQ159_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f901,f179]) ).
fof(f1261,plain,
( ~ sQ163_spl
| ~ sP8_prd(a412) ),
inference(resolution,[status(thm)],[f915,f180]) ).
fof(f1262,plain,
( ~ sQ163_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f909]) ).
fof(f1263,plain,
( ~ sQ163_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ162_spl
| ~ sP8_prd(a412) ),
inference(resolution,[status(thm)],[f912,f179]) ).
fof(f1265,plain,
( ~ sQ165_spl
| ~ sP8_prd(a439) ),
inference(resolution,[status(thm)],[f923,f180]) ).
fof(f1266,plain,
( ~ sQ165_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f645]) ).
fof(f1267,plain,
( ~ sQ165_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1268,plain,
( ~ sQ181_spl
| ndr1_1(a413) ),
inference(resolution,[status(thm)],[f1061,f178]) ).
fof(f1269,plain,
( ~ sQ181_spl
| sP7_prd(a413) ),
inference(resolution,[status(thm)],[f1061,f174]) ).
fof(f1270,plain,
( ~ sQ181_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1268,f225,f1060]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ31_spl
| c1_2(a412,X0)
| ~ c3_2(a412,X0)
| ~ c2_2(a412,X0)
| c5_2(a412,a428)
| ~ c2_2(a412,a428)
| ~ ndr1_1(a412) ),
inference(resolution,[status(thm)],[f623,f912]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ159_spl
| ~ sQ31_spl
| c1_2(a416,X0)
| ~ c3_2(a416,X0)
| ~ c2_2(a416,X0)
| c5_2(a416,a428)
| ~ c2_2(a416,a428)
| ~ ndr1_1(a416) ),
inference(resolution,[status(thm)],[f623,f901]) ).
fof(f1279,definition,
( sQ208_spl
<=> c2_2(a412,a428) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( sQ208_spl
| ~ c2_2(a412,a428) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,definition,
( sQ209_spl
<=> c5_2(a412,a428) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ209_spl
| c5_2(a412,a428) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
! [X0] :
( sQ210_spl
<=> ( c1_2(a412,X0)
| ~ c3_2(a412,X0)
| ~ c2_2(a412,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ210_spl
| c1_2(a412,X0)
| ~ c3_2(a412,X0)
| ~ c2_2(a412,X0) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( ~ sQ162_spl
| ~ sQ31_spl
| sQ210_spl
| sQ209_spl
| ~ sQ208_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1271,f468,f1279,f1282,f1285,f303,f911]) ).
fof(f1289,definition,
( sQ211_spl
<=> c2_2(a416,a428) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( sQ211_spl
| ~ c2_2(a416,a428) ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,definition,
( sQ212_spl
<=> c5_2(a416,a428) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ212_spl
| c5_2(a416,a428) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( ~ sQ159_spl
| ~ sQ31_spl
| sQ193_spl
| sQ212_spl
| ~ sQ211_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1272,f492,f1289,f1292,f1110,f303,f900]) ).
fof(f1302,plain,
( ~ sQ7_spl
| ~ sQ187_spl
| c5_1(a434) ),
inference(resolution,[status(thm)],[f1081,f208]) ).
fof(f1307,plain,
( ~ sQ164_spl
| ~ sP8_prd(a439) ),
inference(resolution,[status(thm)],[f920,f179]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ164_spl
| c1_2(a439,X0)
| ~ c3_2(a439,X0)
| ~ c2_2(a439,X0)
| c5_2(a439,a428)
| ~ c2_2(a439,a428)
| ~ ndr1_1(a439) ),
inference(resolution,[status(thm)],[f920,f623]) ).
fof(f1309,definition,
( sQ213_spl
<=> c2_2(a439,a428) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( sQ213_spl
| ~ c2_2(a439,a428) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,definition,
( sQ214_spl
<=> c5_2(a439,a428) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( ~ sQ214_spl
| c5_2(a439,a428) ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,plain,
( ~ sQ31_spl
| ~ sQ164_spl
| sQ177_spl
| sQ214_spl
| ~ sQ213_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1308,f416,f1309,f1312,f1015,f919,f303]) ).
fof(f1316,plain,
( ~ sQ167_spl
| ~ sP8_prd(a411) ),
inference(resolution,[status(thm)],[f932,f180]) ).
fof(f1317,plain,
( ~ sQ166_spl
| ~ sP8_prd(a411) ),
inference(resolution,[status(thm)],[f929,f179]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ166_spl
| c1_2(a411,X0)
| ~ c3_2(a411,X0)
| ~ c2_2(a411,X0)
| c5_2(a411,a428)
| ~ c2_2(a411,a428)
| ~ ndr1_1(a411) ),
inference(resolution,[status(thm)],[f929,f623]) ).
fof(f1319,definition,
( sQ215_spl
<=> c2_2(a411,a428) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( sQ215_spl
| ~ c2_2(a411,a428) ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,definition,
( sQ216_spl
<=> c5_2(a411,a428) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( ~ sQ216_spl
| c5_2(a411,a428) ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,definition,
! [X0] :
( sQ217_spl
<=> ( c1_2(a411,X0)
| ~ c3_2(a411,X0)
| ~ c2_2(a411,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ217_spl
| c1_2(a411,X0)
| ~ c3_2(a411,X0)
| ~ c2_2(a411,X0) ),
inference(component_clause,[status(thm)],[f1325]) ).
fof(f1328,plain,
( ~ sQ31_spl
| ~ sQ166_spl
| sQ217_spl
| sQ216_spl
| ~ sQ215_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1318,f192,f1319,f1322,f1325,f928,f303]) ).
fof(f1331,plain,
( ~ sQ42_spl
| ~ sQ172_spl
| c3_1(a418)
| c2_1(a418)
| c1_2(a418,a424)
| ~ c3_2(a418,a424) ),
inference(resolution,[status(thm)],[f976,f349]) ).
fof(f1332,definition,
( sQ218_spl
<=> c3_2(a418,a424) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( sQ218_spl
| ~ c3_2(a418,a424) ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ219_spl
<=> c1_2(a418,a424) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ219_spl
| c1_2(a418,a424) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,definition,
( sQ220_spl
<=> c3_1(a418) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( ~ sQ220_spl
| c3_1(a418) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( ~ sQ42_spl
| ~ sQ172_spl
| sQ220_spl
| sQ21_spl
| sQ219_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f1331,f1332,f1335,f262,f1338,f975,f348]) ).
fof(f1342,plain,
( ~ sQ132_spl
| ~ sQ121_spl
| c1_2(a434,a428)
| ~ c3_2(a434,a428) ),
inference(resolution,[status(thm)],[f701,f750]) ).
fof(f1343,definition,
( sQ221_spl
<=> c1_2(a434,a428) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
( ~ sQ221_spl
| c1_2(a434,a428) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( ~ sQ132_spl
| ~ sQ121_spl
| sQ221_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f1342,f703,f1343,f700,f749]) ).
fof(f1347,plain,
( ~ sQ183_spl
| ~ sP8_prd(a413) ),
inference(resolution,[status(thm)],[f1067,f180]) ).
fof(f1348,plain,
( ~ sQ183_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f1061]) ).
fof(f1349,plain,
( ~ sQ183_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f1348]) ).
fof(f1350,plain,
( ~ sQ182_spl
| ~ sP8_prd(a413) ),
inference(resolution,[status(thm)],[f1064,f179]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ182_spl
| c1_2(a413,X0)
| ~ c3_2(a413,X0)
| ~ c2_2(a413,X0)
| c5_2(a413,a428)
| ~ c2_2(a413,a428)
| ~ ndr1_1(a413) ),
inference(resolution,[status(thm)],[f1064,f623]) ).
fof(f1352,definition,
( sQ222_spl
<=> c2_2(a413,a428) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( sQ222_spl
| ~ c2_2(a413,a428) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ223_spl
<=> c5_2(a413,a428) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ223_spl
| c5_2(a413,a428) ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
! [X0] :
( sQ224_spl
<=> ( c1_2(a413,X0)
| ~ c3_2(a413,X0)
| ~ c2_2(a413,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ224_spl
| c1_2(a413,X0)
| ~ c3_2(a413,X0)
| ~ c2_2(a413,X0) ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( ~ sQ31_spl
| ~ sQ182_spl
| sQ224_spl
| sQ223_spl
| ~ sQ222_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1351,f225,f1352,f1355,f1358,f1063,f303]) ).
fof(f1362,plain,
( ~ sQ61_spl
| ~ sQ202_spl
| c4_2(a440,a428)
| c2_2(a440,a428) ),
inference(resolution,[status(thm)],[f1209,f428]) ).
fof(f1363,plain,
( ~ sQ202_spl
| ~ sP8_prd(a440) ),
inference(resolution,[status(thm)],[f1209,f180]) ).
fof(f1364,definition,
( sQ225_spl
<=> c2_2(a440,a428) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( ~ sQ225_spl
| c2_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( sQ225_spl
| ~ c2_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,plain,
( ~ sQ61_spl
| ~ sQ202_spl
| sQ201_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1362,f1364,f1205,f1208,f427]) ).
fof(f1368,plain,
( ~ sQ201_spl
| ~ sP8_prd(a440) ),
inference(resolution,[status(thm)],[f1206,f179]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ201_spl
| c1_2(a440,X0)
| ~ c3_2(a440,X0)
| ~ c2_2(a440,X0)
| c5_2(a440,a428)
| ~ c2_2(a440,a428)
| ~ ndr1_1(a440) ),
inference(resolution,[status(thm)],[f1206,f623]) ).
fof(f1370,definition,
( sQ226_spl
<=> c5_2(a440,a428) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( ~ sQ226_spl
| c5_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1373,definition,
! [X0] :
( sQ227_spl
<=> ( c1_2(a440,X0)
| ~ c3_2(a440,X0)
| ~ c2_2(a440,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ227_spl
| c1_2(a440,X0)
| ~ c3_2(a440,X0)
| ~ c2_2(a440,X0) ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1376,plain,
( ~ sQ31_spl
| ~ sQ201_spl
| sQ227_spl
| sQ226_spl
| ~ sQ225_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1369,f424,f1364,f1370,f1373,f1205,f303]) ).
fof(f1377,plain,
( ~ sQ200_spl
| ndr1_1(a440) ),
inference(resolution,[status(thm)],[f1203,f178]) ).
fof(f1378,plain,
( ~ sQ200_spl
| sP7_prd(a440) ),
inference(resolution,[status(thm)],[f1203,f174]) ).
fof(f1379,plain,
( ~ sQ200_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1377,f424,f1202]) ).
fof(f1382,plain,
( ~ sQ205_spl
| ~ sP8_prd(a432) ),
inference(resolution,[status(thm)],[f1225,f180]) ).
fof(f1383,plain,
( ~ sQ203_spl
| ndr1_1(a432) ),
inference(resolution,[status(thm)],[f1219,f178]) ).
fof(f1384,plain,
( ~ sQ203_spl
| sP7_prd(a432) ),
inference(resolution,[status(thm)],[f1219,f174]) ).
fof(f1385,plain,
( ~ sQ203_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1383,f374,f1218]) ).
fof(f1388,plain,
( ~ sQ204_spl
| ~ sP8_prd(a432) ),
inference(resolution,[status(thm)],[f1222,f179]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ204_spl
| c1_2(a432,X0)
| ~ c3_2(a432,X0)
| ~ c2_2(a432,X0)
| c5_2(a432,a428)
| ~ c2_2(a432,a428)
| ~ ndr1_1(a432) ),
inference(resolution,[status(thm)],[f1222,f623]) ).
fof(f1390,plain,
( ~ sQ204_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1388,f1219]) ).
fof(f1391,plain,
( ~ sQ204_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1392,definition,
( sQ228_spl
<=> c2_2(a432,a428) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( sQ228_spl
| ~ c2_2(a432,a428) ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,definition,
( sQ229_spl
<=> c5_2(a432,a428) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ229_spl
| c5_2(a432,a428) ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1398,plain,
( ~ sQ31_spl
| ~ sQ204_spl
| sQ170_spl
| sQ229_spl
| ~ sQ228_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f1389,f374,f1392,f1395,f968,f1221,f303]) ).
fof(f1399,plain,
( ~ sQ143_spl
| sP5_prd(a416) ),
inference(resolution,[status(thm)],[f803,f148]) ).
fof(f1400,plain,
( ~ sQ143_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f803,f891]) ).
fof(f1401,plain,
( ~ sQ143_spl
| c1_2(a416,a429)
| sP8_prd(a416) ),
inference(resolution,[status(thm)],[f803,f171]) ).
fof(f1402,plain,
( ~ sQ143_spl
| sQ199_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1401,f805,f1192,f802]) ).
fof(f1405,plain,
( ~ sQ140_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f793,f926]) ).
fof(f1410,plain,
( ~ sQ124_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f718,f926]) ).
fof(f1413,plain,
( ~ sQ108_spl
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f642,f148]) ).
fof(f1414,plain,
( ~ sQ108_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f642,f891]) ).
fof(f1417,plain,
( ~ sQ122_spl
| ~ sP8_prd(a434) ),
inference(resolution,[status(thm)],[f704,f180]) ).
fof(f1418,plain,
( ~ sQ155_spl
| c4_2(a439,a430)
| ~ c1_2(a439,a430)
| ~ ndr1_1(a439)
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f870,f149]) ).
fof(f1419,plain,
( ~ sQ155_spl
| sQ126_spl
| ~ sQ125_spl
| ~ sQ58_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1418,f717,f416,f720,f723,f869]) ).
fof(f1424,plain,
( ~ sQ42_spl
| ~ sQ170_spl
| c3_1(a432)
| c2_1(a432)
| c1_2(a432,a424)
| ~ c3_2(a432,a424) ),
inference(resolution,[status(thm)],[f969,f349]) ).
fof(f1425,definition,
( sQ230_spl
<=> c3_2(a432,a424) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1427,plain,
( sQ230_spl
| ~ c3_2(a432,a424) ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1428,definition,
( sQ231_spl
<=> c1_2(a432,a424) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ231_spl
| c1_2(a432,a424) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,plain,
( ~ sQ42_spl
| ~ sQ170_spl
| sQ113_spl
| sQ112_spl
| sQ231_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f1424,f1425,f1428,f655,f658,f968,f348]) ).
fof(f1432,plain,
( ~ sQ42_spl
| sQ169_spl
| c3_1(a432)
| c2_1(a432) ),
inference(resolution,[status(thm)],[f967,f349]) ).
fof(f1433,plain,
( ~ sQ42_spl
| sQ169_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1432,f655,f658,f965,f348]) ).
fof(f1434,plain,
( ~ sQ173_spl
| c4_2(a416,a430)
| ~ c1_2(a416,a430)
| ~ ndr1_1(a416)
| sP5_prd(a416) ),
inference(resolution,[status(thm)],[f990,f149]) ).
fof(f1435,plain,
( ~ sQ173_spl
| sQ142_spl
| ~ sQ141_spl
| ~ sQ77_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1434,f792,f492,f795,f798,f989]) ).
fof(f1440,plain,
( ~ sQ175_spl
| sP8_prd(a411)
| ~ sP7_prd(a411) ),
inference(resolution,[status(thm)],[f1004,f173]) ).
fof(f1441,plain,
( ~ sQ175_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1440,f680,f683,f1003]) ).
fof(f1442,plain,
( ~ sQ174_spl
| sP8_prd(a411)
| ~ sP7_prd(a411) ),
inference(resolution,[status(thm)],[f1001,f172]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ174_spl
| c1_2(a411,X0)
| ~ c3_2(a411,X0)
| ~ c2_2(a411,X0)
| c5_2(a411,a429)
| ~ c2_2(a411,a429)
| ~ ndr1_1(a411) ),
inference(resolution,[status(thm)],[f1001,f623]) ).
fof(f1444,plain,
( ~ sQ174_spl
| sQ120_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1442,f680,f683,f1000]) ).
fof(f1445,definition,
( sQ232_spl
<=> c2_2(a411,a429) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( sQ232_spl
| ~ c2_2(a411,a429) ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ sQ31_spl
| ~ sQ174_spl
| sQ217_spl
| sQ175_spl
| ~ sQ232_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1443,f192,f1445,f1003,f1325,f1000,f303]) ).
fof(f1449,plain,
( ~ sQ42_spl
| ~ sQ177_spl
| c3_1(a439)
| c2_1(a439)
| c1_2(a439,a424)
| ~ c3_2(a439,a424) ),
inference(resolution,[status(thm)],[f1016,f349]) ).
fof(f1450,definition,
( sQ233_spl
<=> c1_2(a439,a424) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ233_spl
| c1_2(a439,a424) ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ sQ42_spl
| ~ sQ177_spl
| sQ158_spl
| sQ157_spl
| sQ233_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f1449,f877,f1450,f880,f883,f1015,f348]) ).
fof(f1454,plain,
( ~ sQ7_spl
| ~ sQ220_spl
| c5_1(a418) ),
inference(resolution,[status(thm)],[f1339,f208]) ).
fof(f1455,plain,
( ~ sQ202_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1363,f1203]) ).
fof(f1456,plain,
( ~ sQ202_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f1455]) ).
fof(f1457,plain,
( ~ sQ42_spl
| ~ sQ191_spl
| c3_1(a420)
| c2_1(a420)
| c1_2(a420,a424)
| ~ c3_2(a420,a424) ),
inference(resolution,[status(thm)],[f1101,f349]) ).
fof(f1458,definition,
( sQ234_spl
<=> c3_2(a420,a424) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( sQ234_spl
| ~ c3_2(a420,a424) ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,definition,
( sQ235_spl
<=> c1_2(a420,a424) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( ~ sQ235_spl
| c1_2(a420,a424) ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1464,definition,
( sQ236_spl
<=> c3_1(a420) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( ~ sQ236_spl
| c3_1(a420) ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,plain,
( ~ sQ42_spl
| ~ sQ191_spl
| sQ236_spl
| sQ137_spl
| sQ235_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f1457,f1458,f1461,f771,f1464,f1100,f348]) ).
fof(f1470,plain,
( ~ sQ83_spl
| ~ sQ193_spl
| c1_2(a416,sK1_skl)
| ~ c3_2(a416,sK1_skl) ),
inference(resolution,[status(thm)],[f1111,f518]) ).
fof(f1471,plain,
( ~ sQ42_spl
| ~ sQ193_spl
| c3_1(a416)
| c2_1(a416)
| c1_2(a416,a424)
| ~ c3_2(a416,a424) ),
inference(resolution,[status(thm)],[f1111,f349]) ).
fof(f1472,definition,
( sQ237_spl
<=> c3_2(a416,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ237_spl
| ~ c3_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,definition,
( sQ238_spl
<=> c1_2(a416,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ238_spl
| c1_2(a416,sK1_skl) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( ~ sQ83_spl
| ~ sQ193_spl
| sQ238_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f1470,f1472,f1475,f1110,f517]) ).
fof(f1479,definition,
( sQ239_spl
<=> c3_2(a416,a424) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( sQ239_spl
| ~ c3_2(a416,a424) ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,definition,
( sQ240_spl
<=> c1_2(a416,a424) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( ~ sQ240_spl
| c1_2(a416,a424) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,plain,
( ~ sQ42_spl
| ~ sQ193_spl
| sQ139_spl
| sQ79_spl
| sQ240_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f1471,f1479,f1482,f499,f788,f1110,f348]) ).
fof(f1486,plain,
( ~ sQ42_spl
| ~ sQ196_spl
| c3_1(a422)
| c2_1(a422)
| c1_2(a422,a424)
| ~ c3_2(a422,a424) ),
inference(resolution,[status(thm)],[f1126,f349]) ).
fof(f1487,definition,
( sQ241_spl
<=> c3_2(a422,a424) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( sQ241_spl
| ~ c3_2(a422,a424) ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,definition,
( sQ242_spl
<=> c1_2(a422,a424) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( ~ sQ242_spl
| c1_2(a422,a424) ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,definition,
( sQ243_spl
<=> c3_1(a422) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( ~ sQ243_spl
| c3_1(a422) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( ~ sQ42_spl
| ~ sQ196_spl
| sQ243_spl
| sQ34_spl
| sQ242_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f1486,f1487,f1490,f317,f1493,f1125,f348]) ).
fof(f1497,plain,
( ~ sQ74_spl
| ~ sQ210_spl
| c1_2(a412,sK0_skl)
| ~ c3_2(a412,sK0_skl) ),
inference(resolution,[status(thm)],[f1286,f481]) ).
fof(f1498,plain,
( ~ sQ42_spl
| ~ sQ210_spl
| c3_1(a412)
| c2_1(a412)
| c1_2(a412,a424)
| ~ c3_2(a412,a424) ),
inference(resolution,[status(thm)],[f1286,f349]) ).
fof(f1499,definition,
( sQ244_spl
<=> c1_2(a412,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( ~ sQ244_spl
| c1_2(a412,sK0_skl) ),
inference(component_clause,[status(thm)],[f1499]) ).
fof(f1502,plain,
( ~ sQ74_spl
| ~ sQ210_spl
| sQ244_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1497,f484,f1499,f1285,f480]) ).
fof(f1503,definition,
( sQ245_spl
<=> c1_2(a412,a424) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( ~ sQ245_spl
| c1_2(a412,a424) ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,plain,
( ~ sQ42_spl
| ~ sQ210_spl
| sQ128_spl
| sQ73_spl
| sQ245_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1498,f734,f1503,f475,f731,f1285,f348]) ).
fof(f1507,plain,
( ~ sQ7_spl
| ~ sQ236_spl
| c5_1(a420) ),
inference(resolution,[status(thm)],[f1465,f208]) ).
fof(f1508,plain,
( ~ sQ7_spl
| ~ sQ243_spl
| c5_1(a422) ),
inference(resolution,[status(thm)],[f1494,f208]) ).
fof(f1509,plain,
( ~ sQ42_spl
| ~ sQ217_spl
| c3_1(a411)
| c2_1(a411)
| c1_2(a411,a424)
| ~ c3_2(a411,a424) ),
inference(resolution,[status(thm)],[f1326,f349]) ).
fof(f1510,plain,
( ~ sQ42_spl
| ~ sQ217_spl
| sQ116_spl
| sQ5_spl
| sQ114_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1509,f667,f664,f199,f670,f1325,f348]) ).
fof(f1511,plain,
( ~ sQ168_spl
| c5_2(a439,a429)
| c4_2(a439,a429)
| ~ ndr1_1(a439)
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f945,f175]) ).
fof(f1512,definition,
( sQ246_spl
<=> c4_2(a439,a429) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( ~ sQ246_spl
| c4_2(a439,a429) ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1515,definition,
( sQ247_spl
<=> c5_2(a439,a429) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1516,plain,
( ~ sQ247_spl
| c5_2(a439,a429) ),
inference(component_clause,[status(thm)],[f1515]) ).
fof(f1518,plain,
( ~ sQ168_spl
| sQ247_spl
| sQ246_spl
| ~ sQ58_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1511,f641,f416,f1512,f1515,f944]) ).
fof(f1519,plain,
( ~ sQ164_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f1307,f644,f919]) ).
fof(f1520,plain,
( ~ sQ165_spl
| ~ sP8_prd(a439) ),
inference(resolution,[status(thm)],[f923,f180]) ).
fof(f1521,plain,
( ~ sQ42_spl
| ~ sQ224_spl
| c3_1(a413)
| c2_1(a413)
| c1_2(a413,a424)
| ~ c3_2(a413,a424) ),
inference(resolution,[status(thm)],[f1359,f349]) ).
fof(f1522,definition,
( sQ248_spl
<=> c3_2(a413,a424) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( sQ248_spl
| ~ c3_2(a413,a424) ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1525,definition,
( sQ249_spl
<=> c1_2(a413,a424) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( ~ sQ249_spl
| c1_2(a413,a424) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,definition,
( sQ250_spl
<=> c3_1(a413) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( ~ sQ250_spl
| c3_1(a413) ),
inference(component_clause,[status(thm)],[f1528]) ).
fof(f1531,plain,
( ~ sQ42_spl
| ~ sQ224_spl
| sQ250_spl
| sQ11_spl
| sQ249_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f1521,f1522,f1525,f221,f1528,f1358,f348]) ).
fof(f1532,plain,
( ~ sQ108_spl
| sP5_prd(a439) ),
inference(resolution,[status(thm)],[f642,f148]) ).
fof(f1533,plain,
( ~ sQ108_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f642,f891]) ).
fof(f1536,plain,
( ~ sQ109_spl
| ndr1_1(a439) ),
inference(resolution,[status(thm)],[f645,f178]) ).
fof(f1537,plain,
( ~ sQ109_spl
| sP7_prd(a439) ),
inference(resolution,[status(thm)],[f645,f174]) ).
fof(f1542,plain,
( ~ sQ7_spl
| ~ sQ250_spl
| c5_1(a413) ),
inference(resolution,[status(thm)],[f1529,f208]) ).
fof(f1543,plain,
( ~ sQ225_spl
| ~ sQ227_spl
| c1_2(a440,a428)
| ~ c3_2(a440,a428) ),
inference(resolution,[status(thm)],[f1374,f1365]) ).
fof(f1544,plain,
( ~ sQ42_spl
| ~ sQ227_spl
| c3_1(a440)
| c2_1(a440)
| c1_2(a440,a424)
| ~ c3_2(a440,a424) ),
inference(resolution,[status(thm)],[f1374,f349]) ).
fof(f1545,definition,
( sQ251_spl
<=> c1_2(a440,a428) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( ~ sQ251_spl
| c1_2(a440,a428) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,plain,
( ~ sQ225_spl
| ~ sQ227_spl
| sQ251_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1543,f1208,f1545,f1373,f1364]) ).
fof(f1549,definition,
( sQ252_spl
<=> c3_2(a440,a424) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1551,plain,
( sQ252_spl
| ~ c3_2(a440,a424) ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1552,definition,
( sQ253_spl
<=> c1_2(a440,a424) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( ~ sQ253_spl
| c1_2(a440,a424) ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1555,definition,
( sQ254_spl
<=> c3_1(a440) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ254_spl
| c3_1(a440) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,plain,
( ~ sQ42_spl
| ~ sQ227_spl
| sQ254_spl
| sQ145_spl
| sQ253_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f1544,f1549,f1552,f814,f1555,f1373,f348]) ).
fof(f1559,plain,
( ~ sQ200_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f1368]) ).
fof(f1560,plain,
( ~ sQ200_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( ~ sQ170_spl
| ~ sQ169_spl
| c1_2(a432,a424)
| ~ c3_2(a432,a424) ),
inference(resolution,[status(thm)],[f966,f969]) ).
fof(f1562,plain,
( ~ sQ49_spl
| ~ sQ169_spl
| c4_2(a432,a424)
| c5_2(a432,a424) ),
inference(resolution,[status(thm)],[f966,f378]) ).
fof(f1563,plain,
( ~ sQ170_spl
| ~ sQ169_spl
| sQ231_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f1561,f1425,f1428,f965,f968]) ).
fof(f1564,plain,
( ~ sQ49_spl
| ~ sQ169_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1562,f649,f652,f965,f377]) ).
fof(f1567,plain,
( ~ sQ199_spl
| c5_2(a416,a429)
| c4_2(a416,a429)
| ~ ndr1_1(a416)
| sP7_prd(a416) ),
inference(resolution,[status(thm)],[f1193,f175]) ).
fof(f1568,definition,
( sQ255_spl
<=> c4_2(a416,a429) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ255_spl
| c4_2(a416,a429) ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,definition,
( sQ256_spl
<=> c5_2(a416,a429) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( ~ sQ256_spl
| c5_2(a416,a429) ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1574,plain,
( ~ sQ199_spl
| sQ256_spl
| sQ255_spl
| ~ sQ77_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1567,f802,f492,f1568,f1571,f1192]) ).
fof(f1575,plain,
( ~ sQ159_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1260,f805,f900]) ).
fof(f1576,plain,
( ~ sQ160_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f904,f180]) ).
fof(f1577,plain,
( ~ sQ7_spl
| ~ sQ254_spl
| c5_1(a440) ),
inference(resolution,[status(thm)],[f1556,f208]) ).
fof(f1578,plain,
( ~ sQ16_spl
| ~ sQ249_spl
| c5_2(a413,a424) ),
inference(resolution,[status(thm)],[f1526,f242]) ).
fof(f1579,plain,
( ~ sQ247_spl
| sP8_prd(a439)
| ~ sP7_prd(a439) ),
inference(resolution,[status(thm)],[f1516,f173]) ).
fof(f1580,plain,
( ~ sQ247_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1579,f641,f644,f1515]) ).
fof(f1581,plain,
( ~ sQ166_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1317,f683,f928]) ).
fof(f1582,plain,
( ~ sQ167_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1316,f683,f931]) ).
fof(f1583,plain,
( ~ sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f775,f680,f683]) ).
fof(f1588,plain,
( ~ sQ120_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f684,f178]) ).
fof(f1589,plain,
( ~ sQ120_spl
| sP7_prd(a411) ),
inference(resolution,[status(thm)],[f684,f174]) ).
fof(f1590,plain,
( ~ sQ159_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f901,f179]) ).
fof(f1593,plain,
( ~ sQ140_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f793,f926]) ).
fof(f1596,plain,
( ~ sQ165_spl
| ~ sP8_prd(a439) ),
inference(resolution,[status(thm)],[f923,f180]) ).
fof(f1598,plain,
( ~ sQ119_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f681,f891]) ).
fof(f1603,plain,
( ~ sQ119_spl
| ndr1_1(a411) ),
inference(resolution,[status(thm)],[f1231,f926]) ).
fof(f1612,plain,
( ~ sQ246_spl
| sP8_prd(a439)
| ~ sP7_prd(a439) ),
inference(resolution,[status(thm)],[f1513,f172]) ).
fof(f1613,plain,
( ~ sQ246_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1612,f641,f644,f1512]) ).
fof(f1614,plain,
( ~ sQ256_spl
| sP8_prd(a416)
| ~ sP7_prd(a416) ),
inference(resolution,[status(thm)],[f1572,f173]) ).
fof(f1615,plain,
( ~ sQ256_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f1614,f802,f805,f1571]) ).
fof(f1616,plain,
( ~ sQ143_spl
| sP5_prd(a416) ),
inference(resolution,[status(thm)],[f803,f148]) ).
fof(f1617,plain,
( ~ sQ143_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f803,f891]) ).
fof(f1620,plain,
( ~ sQ144_spl
| ndr1_1(a416) ),
inference(resolution,[status(thm)],[f806,f178]) ).
fof(f1621,plain,
( ~ sQ144_spl
| sP7_prd(a416) ),
inference(resolution,[status(thm)],[f806,f174]) ).
fof(f1622,plain,
( ~ sQ255_spl
| sP8_prd(a416)
| ~ sP7_prd(a416) ),
inference(resolution,[status(thm)],[f1569,f172]) ).
fof(f1623,plain,
( ~ sQ255_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f1622,f802,f805,f1568]) ).
fof(f1624,plain,
( ~ sQ159_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f901,f179]) ).
fof(f1625,plain,
( ~ sQ160_spl
| ~ sP8_prd(a416) ),
inference(resolution,[status(thm)],[f904,f180]) ).
fof(f1626,plain,
( ~ sQ44_spl
| ~ sQ16_spl
| ~ sQ249_spl
| c3_1(a413)
| c2_1(a413) ),
inference(resolution,[status(thm)],[f1578,f357]) ).
fof(f1627,plain,
( ~ sQ44_spl
| ~ sQ16_spl
| ~ sQ249_spl
| sQ250_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1626,f221,f1528,f1525,f241,f356]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| 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
| ~ sQ31_spl
| sQ32_spl
| sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| sQ41_spl
| sQ42_spl
| sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| sQ64_spl
| sQ66_spl
| ~ sQ67_spl
| sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| sQ110_spl
| sQ111_spl
| sQ112_spl
| sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| sQ117_spl
| sQ118_spl
| sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| sQ126_spl
| sQ127_spl
| sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| sQ132_spl
| sQ133_spl
| ~ sQ134_spl
| sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| sQ139_spl
| sQ140_spl
| sQ141_spl
| ~ sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| sQ145_spl
| ~ sQ146_spl
| sQ147_spl
| sQ148_spl
| ~ sQ149_spl
| sQ150_spl
| sQ151_spl
| sQ152_spl
| sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| ~ sQ156_spl
| sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| sQ163_spl
| ~ sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| ~ sQ169_spl
| sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| sQ177_spl
| sQ178_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
| ~ sQ208_spl
| sQ209_spl
| ~ sQ210_spl
| ~ sQ211_spl
| sQ212_spl
| ~ sQ213_spl
| sQ214_spl
| ~ sQ215_spl
| sQ216_spl
| sQ217_spl
| ~ sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ221_spl
| ~ sQ222_spl
| sQ223_spl
| sQ224_spl
| ~ sQ225_spl
| sQ226_spl
| ~ sQ227_spl
| ~ sQ228_spl
| sQ229_spl
| ~ sQ230_spl
| sQ231_spl
| ~ sQ232_spl
| sQ233_spl
| ~ sQ234_spl
| sQ235_spl
| sQ236_spl
| ~ sQ237_spl
| sQ238_spl
| ~ sQ239_spl
| sQ240_spl
| ~ sQ241_spl
| sQ242_spl
| sQ243_spl
| sQ244_spl
| sQ245_spl
| sQ246_spl
| sQ247_spl
| ~ sQ248_spl
| sQ249_spl
| sQ250_spl
| sQ251_spl
| ~ sQ252_spl
| sQ253_spl
| sQ254_spl
| sQ255_spl
| sQ256_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN532+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:06:18 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.42 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.08/0.42 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.44 % Elapsed time: 0.071882 seconds
% 0.08/0.44 % CPU time: 0.306937 seconds
% 0.08/0.44 % Total memory used: 25.669 MB
% 0.08/0.44 % Net memory used: 25.542 MB
%------------------------------------------------------------------------------