%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN534+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 : n014.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 03:20:00 PM UTC 2026
% Result : CounterSatisfiable 0.14s 0.40s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X22] :
( ndr1_0
=> ( ~ c5_1(X22)
| c4_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ( ~ c3_2(X21,a490)
& c1_2(X21,a490)
& ndr1_1(X21) )
| ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) )
| c2_1(X21) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X20] :
( ndr1_1(a488)
=> ( c4_2(a488,X20)
| c1_2(a488,X20) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X19] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c1_1(X18) ) )
| c3_0 )
& ( c4_0
| ! [X17] :
( ndr1_0
=> c2_1(X17) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| c4_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( ~ c4_2(X15,X16)
| ~ c5_2(X15,X16)
| ~ c2_2(X15,X16) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c3_2(X13,X14)
| c5_2(X13,X14)
| ~ c1_2(X13,X14) ) )
| ~ c3_1(X13)
| c1_1(X13) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X12] :
( ndr1_1(a484)
=> c4_2(a484,X12) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ( ~ c4_2(X10,a482)
& c1_2(X10,a482)
& c3_2(X10,a482)
& ndr1_1(X10) )
| c1_1(X10) ) )
| ! [X7] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X7)
=> ( ~ c4_2(X7,X9)
| c5_2(X7,X9)
| c1_2(X7,X9) ) )
| c4_1(X7)
| ! [X8] :
( ndr1_1(X7)
=> ( ~ c2_2(X7,X8)
| ~ c4_2(X7,X8)
| ~ c1_2(X7,X8) ) ) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( ! [X6] :
( ndr1_1(X4)
=> ( ~ c4_2(X4,X6)
| c2_2(X4,X6)
| ~ c5_2(X4,X6) ) )
| ! [X5] :
( ndr1_1(X4)
=> ( c4_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ c5_2(X4,X5) ) )
| c2_1(X4) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X3] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X3)
| ~ c5_2(a479,X3)
| ~ c1_2(a479,X3) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X2] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) )
| c5_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( ~ c1_1(Z)
| ~ c4_1(Z)
| c2_1(Z) ) ) )
& ( ! [X] :
( ndr1_0
=> ( ( ~ c5_2(X,a476)
& ~ c1_2(X,a476)
& ~ c3_2(X,a476)
& ndr1_1(X) )
| ~ c3_1(X)
| ! [Y] :
( ndr1_1(X)
=> ( c5_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [W] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,W)
| c1_2(a474,W)
| ~ c5_2(a474,W) ) )
& ! [V] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,V)
| c4_2(a474,V) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [U] :
( ndr1_0
=> ( c5_1(U)
| c3_1(U) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X22] :
( ndr1_0
=> ( ~ c5_1(X22)
| c4_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ( ~ c3_2(X21,a490)
& c1_2(X21,a490)
& ndr1_1(X21) )
| ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) )
| c2_1(X21) ) )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X20] :
( ndr1_1(a488)
=> ( c4_2(a488,X20)
| c1_2(a488,X20) ) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X19] :
( ndr1_1(a487)
=> ( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19) ) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c1_1(X18) ) )
| c3_0 )
& ( c4_0
| ! [X17] :
( ndr1_0
=> c2_1(X17) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| c4_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( ~ c4_2(X15,X16)
| ~ c5_2(X15,X16)
| ~ c2_2(X15,X16) ) ) ) ) )
& ( c2_0
| ~ c5_0
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c3_2(X13,X14)
| c5_2(X13,X14)
| ~ c1_2(X13,X14) ) )
| ~ c3_1(X13)
| c1_1(X13) ) ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X12] :
( ndr1_1(a484)
=> c4_2(a484,X12) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) ) ) ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ( ~ c4_2(X10,a482)
& c1_2(X10,a482)
& c3_2(X10,a482)
& ndr1_1(X10) )
| c1_1(X10) ) )
| ! [X7] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X7)
=> ( ~ c4_2(X7,X9)
| c5_2(X7,X9)
| c1_2(X7,X9) ) )
| c4_1(X7)
| ! [X8] :
( ndr1_1(X7)
=> ( ~ c2_2(X7,X8)
| ~ c4_2(X7,X8)
| ~ c1_2(X7,X8) ) ) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( ! [X6] :
( ndr1_1(X4)
=> ( ~ c4_2(X4,X6)
| c2_2(X4,X6)
| ~ c5_2(X4,X6) ) )
| ! [X5] :
( ndr1_1(X4)
=> ( c4_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ c5_2(X4,X5) ) )
| c2_1(X4) ) )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X3] :
( ndr1_1(a479)
=> ( ~ c2_2(a479,X3)
| ~ c5_2(a479,X3)
| ~ c1_2(a479,X3) ) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X2] :
( ndr1_1(a478)
=> ( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2) ) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) )
| c5_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( ~ c1_1(Z)
| ~ c4_1(Z)
| c2_1(Z) ) ) )
& ( ! [X] :
( ndr1_0
=> ( ( ~ c5_2(X,a476)
& ~ c1_2(X,a476)
& ~ c3_2(X,a476)
& ndr1_1(X) )
| ~ c3_1(X)
| ! [Y] :
( ndr1_1(X)
=> ( c5_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) ) ) ) )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [W] :
( ndr1_1(a474)
=> ( ~ c4_2(a474,W)
| c1_2(a474,W)
| ~ c5_2(a474,W) ) )
& ! [V] :
( ndr1_1(a474)
=> ( ~ c3_2(a474,V)
| c4_2(a474,V) ) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [U] :
( ndr1_0
=> ( c5_1(U)
| c3_1(U) ) )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X22] :
( ~ c5_1(X22)
| c4_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X21] :
( ( ~ c3_2(X21,a490)
& c1_2(X21,a490)
& ndr1_1(X21) )
| ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) )
| c2_1(X21)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X20] :
( c4_2(a488,X20)
| c1_2(a488,X20)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| ( ~ c2_1(a487)
& ! [X19] :
( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ c5_0 )
& ( c5_0
| ! [X18] :
( c3_1(X18)
| c1_1(X18)
| ~ ndr1_0 )
| c3_0 )
& ( c4_0
| ! [X17] :
( c2_1(X17)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| c4_1(X15)
| ! [X16] :
( ~ c4_2(X15,X16)
| ~ c5_2(X15,X16)
| ~ c2_2(X15,X16)
| ~ ndr1_1(X15) )
| ~ ndr1_0 ) )
& ( c2_0
| ~ c5_0
| ! [X13] :
( ! [X14] :
( ~ c3_2(X13,X14)
| c5_2(X13,X14)
| ~ c1_2(X13,X14)
| ~ ndr1_1(X13) )
| ~ c3_1(X13)
| c1_1(X13)
| ~ ndr1_0 ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X12] :
( c4_2(a484,X12)
| ~ ndr1_1(a484) )
& ndr1_0 ) )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) )
| ~ ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X10] :
( ~ c2_1(X10)
| ( ~ c4_2(X10,a482)
& c1_2(X10,a482)
& c3_2(X10,a482)
& ndr1_1(X10) )
| c1_1(X10)
| ~ ndr1_0 )
| ! [X7] :
( ! [X9] :
( ~ c4_2(X7,X9)
| c5_2(X7,X9)
| c1_2(X7,X9)
| ~ ndr1_1(X7) )
| c4_1(X7)
| ! [X8] :
( ~ c2_2(X7,X8)
| ~ c4_2(X7,X8)
| ~ c1_2(X7,X8)
| ~ ndr1_1(X7) )
| ~ ndr1_0 ) )
& ( ! [X4] :
( ! [X6] :
( ~ c4_2(X4,X6)
| c2_2(X4,X6)
| ~ c5_2(X4,X6)
| ~ ndr1_1(X4) )
| ! [X5] :
( c4_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ c5_2(X4,X5)
| ~ ndr1_1(X4) )
| c2_1(X4)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X3] :
( ~ c2_2(a479,X3)
| ~ c5_2(a479,X3)
| ~ c1_2(a479,X3)
| ~ ndr1_1(a479) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X2] :
( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X1] :
( ~ c2_1(X1)
| ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) )
| c5_1(X1)
| ~ ndr1_0 )
| ! [Z] :
( ~ c1_1(Z)
| ~ c4_1(Z)
| c2_1(Z)
| ~ ndr1_0 ) )
& ( ! [X] :
( ( ~ c5_2(X,a476)
& ~ c1_2(X,a476)
& ~ c3_2(X,a476)
& ndr1_1(X) )
| ~ c3_1(X)
| ! [Y] :
( c5_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [W] :
( ~ c4_2(a474,W)
| c1_2(a474,W)
| ~ c5_2(a474,W)
| ~ ndr1_1(a474) )
& ! [V] :
( ~ c3_2(a474,V)
| c4_2(a474,V)
| ~ ndr1_1(a474) )
& ndr1_0 )
| ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [U] :
( c5_1(U)
| c3_1(U)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [X1] :
( sP1_prd(X1)
<=> ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X12] :
( c4_2(a484,X12)
| ~ ndr1_1(a484) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ~ c2_1(a487)
& ! [X19] :
( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19)
| ~ ndr1_1(a487) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [X21] :
( sP4_prd(X21)
<=> ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X22] :
( ~ c5_1(X22)
| c4_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X21] :
( ( ~ c3_2(X21,a490)
& c1_2(X21,a490)
& ndr1_1(X21) )
| sP4_prd(X21)
| c2_1(X21)
| ~ ndr1_0 )
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ! [X20] :
( c4_2(a488,X20)
| c1_2(a488,X20)
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| sP3_prd
| ~ c5_0 )
& ( c5_0
| ! [X18] :
( c3_1(X18)
| c1_1(X18)
| ~ ndr1_0 )
| c3_0 )
& ( c4_0
| ! [X17] :
( c2_1(X17)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| c4_1(X15)
| ! [X16] :
( ~ c4_2(X15,X16)
| ~ c5_2(X15,X16)
| ~ c2_2(X15,X16)
| ~ ndr1_1(X15) )
| ~ ndr1_0 ) )
& ( c2_0
| ~ c5_0
| ! [X13] :
( ! [X14] :
( ~ c3_2(X13,X14)
| c5_2(X13,X14)
| ~ c1_2(X13,X14)
| ~ ndr1_1(X13) )
| ~ c3_1(X13)
| c1_1(X13)
| ~ ndr1_0 ) )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| sP2_prd )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) )
| ~ ndr1_0 ) )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X10] :
( ~ c2_1(X10)
| ( ~ c4_2(X10,a482)
& c1_2(X10,a482)
& c3_2(X10,a482)
& ndr1_1(X10) )
| c1_1(X10)
| ~ ndr1_0 )
| ! [X7] :
( ! [X9] :
( ~ c4_2(X7,X9)
| c5_2(X7,X9)
| c1_2(X7,X9)
| ~ ndr1_1(X7) )
| c4_1(X7)
| ! [X8] :
( ~ c2_2(X7,X8)
| ~ c4_2(X7,X8)
| ~ c1_2(X7,X8)
| ~ ndr1_1(X7) )
| ~ ndr1_0 ) )
& ( ! [X4] :
( ! [X6] :
( ~ c4_2(X4,X6)
| c2_2(X4,X6)
| ~ c5_2(X4,X6)
| ~ ndr1_1(X4) )
| ! [X5] :
( c4_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ c5_2(X4,X5)
| ~ ndr1_1(X4) )
| c2_1(X4)
| ~ ndr1_0 )
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ! [X3] :
( ~ c2_2(a479,X3)
| ~ c5_2(a479,X3)
| ~ c1_2(a479,X3)
| ~ ndr1_1(a479) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ! [X2] :
( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2)
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X1] :
( ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1)
| ~ ndr1_0 )
| ! [Z] :
( ~ c1_1(Z)
| ~ c4_1(Z)
| c2_1(Z)
| ~ ndr1_0 ) )
& ( ! [X] :
( ( ~ c5_2(X,a476)
& ~ c1_2(X,a476)
& ~ c3_2(X,a476)
& ndr1_1(X) )
| ~ c3_1(X)
| ! [Y] :
( c5_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ! [W] :
( ~ c4_2(a474,W)
| c1_2(a474,W)
| ~ c5_2(a474,W)
| ~ ndr1_1(a474) )
& ! [V] :
( ~ c3_2(a474,V)
| c4_2(a474,V)
| ~ ndr1_1(a474) )
& ndr1_0 )
| sP0_prd )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [U] :
( c5_1(U)
| c3_1(U)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f8,f7,f6,f5,f4]) ).
fof(f10,plain,
( ( c3_0
| ( c5_1(a491)
& c3_1(a491)
& ndr1_0 ) )
& ( ~ c2_0
| c5_0
| ! [X22] :
( ~ c5_1(X22)
| c4_1(X22)
| ~ c3_1(X22) )
| ~ ndr1_0 )
& ( ! [X21] :
( ( ~ c3_2(X21,a490)
& c1_2(X21,a490)
& ndr1_1(X21) )
| sP4_prd(X21)
| c2_1(X21) )
| ~ ndr1_0
| ~ c5_0
| c3_0 )
& ( ( c2_1(a488)
& ( ! [X20] :
( c4_2(a488,X20)
| c1_2(a488,X20) )
| ~ ndr1_1(a488) )
& c4_1(a488)
& ndr1_0 )
| sP3_prd
| ~ c5_0 )
& ( c5_0
| ! [X18] :
( c3_1(X18)
| c1_1(X18) )
| ~ ndr1_0
| c3_0 )
& ( c4_0
| ! [X17] : c2_1(X17)
| ~ ndr1_0
| ! [X15] :
( c1_1(X15)
| c4_1(X15)
| ! [X16] :
( ~ c4_2(X15,X16)
| ~ c5_2(X15,X16)
| ~ c2_2(X15,X16) )
| ~ ndr1_1(X15) )
| ~ ndr1_0 )
& ( c2_0
| ~ c5_0
| ! [X13] :
( ! [X14] :
( ~ c3_2(X13,X14)
| c5_2(X13,X14)
| ~ c1_2(X13,X14) )
| ~ ndr1_1(X13)
| ~ c3_1(X13)
| c1_1(X13) )
| ~ ndr1_0 )
& ( c2_0
| ( c4_1(a485)
& c2_1(a485)
& c5_2(a485,a486)
& c2_2(a485,a486)
& c3_2(a485,a486)
& ndr1_1(a485)
& ndr1_0 )
| sP2_prd )
& ( ~ c2_0
| c4_0
| ! [X11] :
( ~ c2_1(X11)
| ( c1_2(X11,a483)
& c2_2(X11,a483)
& c3_2(X11,a483)
& ndr1_1(X11) ) )
| ~ ndr1_0 )
& ( c1_0
| c5_0 )
& ( ~ c3_0
| ! [X10] :
( ~ c2_1(X10)
| ( ~ c4_2(X10,a482)
& c1_2(X10,a482)
& c3_2(X10,a482)
& ndr1_1(X10) )
| c1_1(X10) )
| ~ ndr1_0
| ! [X7] :
( ! [X9] :
( ~ c4_2(X7,X9)
| c5_2(X7,X9)
| c1_2(X7,X9) )
| ~ ndr1_1(X7)
| c4_1(X7)
| ! [X8] :
( ~ c2_2(X7,X8)
| ~ c4_2(X7,X8)
| ~ c1_2(X7,X8) )
| ~ ndr1_1(X7) )
| ~ ndr1_0 )
& ( ! [X4] :
( ! [X6] :
( ~ c4_2(X4,X6)
| c2_2(X4,X6)
| ~ c5_2(X4,X6) )
| ~ ndr1_1(X4)
| ! [X5] :
( c4_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ c5_2(X4,X5) )
| ~ ndr1_1(X4)
| c2_1(X4) )
| ~ ndr1_0
| c5_0
| ( ~ c5_1(a480)
& c2_2(a480,a481)
& c1_2(a480,a481)
& ~ c4_2(a480,a481)
& ndr1_1(a480)
& ndr1_0 ) )
& ( ~ c3_0
| ( ( ! [X3] :
( ~ c2_2(a479,X3)
| ~ c5_2(a479,X3)
| ~ c1_2(a479,X3) )
| ~ ndr1_1(a479) )
& c5_1(a479)
& ndr1_0 )
| c4_0 )
& ( ( c1_1(a478)
& ( ! [X2] :
( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2) )
| ~ ndr1_1(a478) )
& ~ c2_1(a478)
& ndr1_0 )
| ! [X1] :
( ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1) )
| ~ ndr1_0
| ! [Z] :
( ~ c1_1(Z)
| ~ c4_1(Z)
| c2_1(Z) )
| ~ ndr1_0 )
& ( ! [X] :
( ( ~ c5_2(X,a476)
& ~ c1_2(X,a476)
& ~ c3_2(X,a476)
& ndr1_1(X) )
| ~ c3_1(X)
| ! [Y] :
( c5_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) )
| ~ ndr1_1(X) )
| ~ ndr1_0
| ~ c2_0
| c4_0 )
& ( ~ c3_0
| ~ c2_0 )
& ( ( c2_2(a474,a475)
& ~ c5_2(a474,a475)
& ndr1_1(a474)
& ( ! [W] :
( ~ c4_2(a474,W)
| c1_2(a474,W)
| ~ c5_2(a474,W) )
| ~ ndr1_1(a474) )
& ( ! [V] :
( ~ c3_2(a474,V)
| c4_2(a474,V) )
| ~ ndr1_1(a474) )
& ndr1_0 )
| sP0_prd )
& ( ~ c5_0
| c1_0
| c3_0 )
& ( c1_0
| ! [U] :
( c5_1(U)
| c3_1(U) )
| ~ ndr1_0
| ~ c3_0 )
& ( ~ c1_0
| ( ~ c4_1(a471)
& ~ c2_1(a471)
& ndr1_0 )
| c2_0 ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
( ~ c1_0
| ndr1_0
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( ~ c1_0
| ~ c2_1(a471)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
( ~ c1_0
| ~ c4_1(a471)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [X0] :
( c1_0
| c5_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f15,plain,
( ~ c5_0
| c1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f16,plain,
( ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ c3_2(a474,X0)
| c4_2(a474,X0)
| ~ ndr1_1(a474)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f18,plain,
! [X0] :
( ~ c4_2(a474,X0)
| c1_2(a474,X0)
| ~ c5_2(a474,X0)
| ~ ndr1_1(a474)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f19,plain,
( ndr1_1(a474)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f20,plain,
( ~ c5_2(a474,a475)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,plain,
( c2_2(a474,a475)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
( ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0,X1] :
( ndr1_1(X0)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0,X1] :
( ~ c3_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1] :
( ~ c1_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1] :
( ~ c5_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1] :
( ~ c2_1(a478)
| ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2)
| ~ ndr1_1(a478)
| ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
! [X0,X1] :
( c1_1(a478)
| ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
( ~ c3_0
| ndr1_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
( ~ c3_0
| c5_1(a479)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
! [X0] :
( ~ c3_0
| ~ c2_2(a479,X0)
| ~ c5_2(a479,X0)
| ~ c1_2(a479,X0)
| ~ ndr1_1(a479)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0
| ndr1_1(a480) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0
| ~ c4_2(a480,a481) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0
| c1_2(a480,a481) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0
| c2_2(a480,a481) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_0
| ~ c5_1(a480) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| ~ c2_1(X3)
| ndr1_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| ~ c2_1(X3)
| c3_2(X3,a482)
| c1_1(X3)
| ~ ndr1_0
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| ~ c2_1(X3)
| c1_2(X3,a482)
| c1_1(X3)
| ~ ndr1_0
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| ~ c2_1(X3)
| ~ c4_2(X3,a482)
| c1_1(X3)
| ~ ndr1_0
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
( c1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
! [X0] :
( ~ c2_0
| c4_0
| ~ c2_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f46,plain,
! [X0] :
( ~ c2_0
| c4_0
| ~ c2_1(X0)
| c3_2(X0,a483)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
! [X0] :
( ~ c2_0
| c4_0
| ~ c2_1(X0)
| c2_2(X0,a483)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
! [X0] :
( ~ c2_0
| c4_0
| ~ c2_1(X0)
| c1_2(X0,a483)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f49,plain,
( c2_0
| ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f50,plain,
( c2_0
| ndr1_1(a485)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f51,plain,
( c2_0
| c3_2(a485,a486)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f52,plain,
( c2_0
| c2_2(a485,a486)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f53,plain,
( c2_0
| c5_2(a485,a486)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
( c2_0
| c2_1(a485)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
( c2_0
| c4_1(a485)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f56,plain,
! [X0,X1] :
( c2_0
| ~ c5_0
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f57,plain,
! [X0,X1,X2] :
( c4_0
| c2_1(X2)
| ~ ndr1_0
| c1_1(X0)
| c4_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f58,plain,
! [X0] :
( c5_0
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f59,plain,
( ndr1_0
| sP3_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
( c4_1(a488)
| sP3_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f61,plain,
! [X0] :
( c4_2(a488,X0)
| c1_2(a488,X0)
| ~ ndr1_1(a488)
| sP3_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
( c2_1(a488)
| sP3_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
! [X0] :
( ndr1_1(X0)
| sP4_prd(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f64,plain,
! [X0] :
( c1_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
! [X0] :
( ~ c3_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f66,plain,
! [X0] :
( ~ c2_0
| c5_0
| ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f67,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f68,plain,
( c3_0
| c3_1(a491) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f69,plain,
( c3_0
| c5_1(a491) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f70,plain,
( ( c3_2(a472,a473)
| c5_2(a472,a473)
| ~ ndr1_1(a472)
| ~ c5_1(a472)
| c1_1(a472)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c3_2(a472,a473)
& ~ c5_2(a472,a473)
& ndr1_1(a472)
& c5_1(a472)
& ~ c1_1(a472)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
( ndr1_0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
( ~ c1_1(a472)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
( c5_1(a472)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f74,plain,
( ndr1_1(a472)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
( ~ c5_2(a472,a473)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f76,plain,
( ~ c3_2(a472,a473)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f77,plain,
( c3_2(a472,a473)
| c5_2(a472,a473)
| ~ ndr1_1(a472)
| ~ c5_1(a472)
| c1_1(a472)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f78,plain,
! [X1] :
( ( ~ c1_2(X1,a477)
| ~ c5_2(X1,a477)
| c2_2(X1,a477)
| ~ ndr1_1(X1)
| sP1_prd(X1) )
& ( ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) )
| ~ sP1_prd(X1) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f79,plain,
( ! [X1] :
( ~ c1_2(X1,a477)
| ~ c5_2(X1,a477)
| c2_2(X1,a477)
| ~ ndr1_1(X1)
| sP1_prd(X1) )
& ! [X1] :
( ( c1_2(X1,a477)
& c5_2(X1,a477)
& ~ c2_2(X1,a477)
& ndr1_1(X1) )
| ~ sP1_prd(X1) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ c2_2(X0,a477)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f82,plain,
! [X0] :
( c5_2(X0,a477)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f83,plain,
! [X0] :
( c1_2(X0,a477)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f84,plain,
! [X0] :
( ~ c1_2(X0,a477)
| ~ c5_2(X0,a477)
| c2_2(X0,a477)
| ~ ndr1_1(X0)
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f85,plain,
( ( c1_1(a484)
| c3_1(a484)
| ? [X12] :
( ~ c4_2(a484,X12)
& ndr1_1(a484) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a484)
& ~ c3_1(a484)
& ! [X12] :
( c4_2(a484,X12)
| ~ ndr1_1(a484) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f86,plain,
( ( c1_1(a484)
| c3_1(a484)
| ( ? [X12] : ~ c4_2(a484,X12)
& ndr1_1(a484) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a484)
& ~ c3_1(a484)
& ( ! [X12] : c4_2(a484,X12)
| ~ ndr1_1(a484) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f87,plain,
( ( c1_1(a484)
| c3_1(a484)
| ( ~ c4_2(a484,sK0_skl)
& ndr1_1(a484) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a484)
& ~ c3_1(a484)
& ( ! [X12] : c4_2(a484,X12)
| ~ ndr1_1(a484) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X12,sK0_skl)],[f86]) ).
fof(f88,plain,
( ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0] :
( c4_2(a484,X0)
| ~ ndr1_1(a484)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,plain,
( ~ c3_1(a484)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
( ~ c1_1(a484)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f92,plain,
( c1_1(a484)
| c3_1(a484)
| ndr1_1(a484)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f93,plain,
( c1_1(a484)
| c3_1(a484)
| ~ c4_2(a484,sK0_skl)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f94,plain,
( ( c2_1(a487)
| ? [X19] :
( c5_2(a487,X19)
& ~ c4_2(a487,X19)
& c2_2(a487,X19)
& ndr1_1(a487) )
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c2_1(a487)
& ! [X19] :
( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19)
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f95,plain,
( ( c2_1(a487)
| ( ? [X19] :
( c5_2(a487,X19)
& ~ c4_2(a487,X19)
& c2_2(a487,X19) )
& ndr1_1(a487) )
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c2_1(a487)
& ( ! [X19] :
( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19) )
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ sP3_prd ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f96,plain,
( ( c2_1(a487)
| ( c5_2(a487,sK1_skl)
& ~ c4_2(a487,sK1_skl)
& c2_2(a487,sK1_skl)
& ndr1_1(a487) )
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c2_1(a487)
& ( ! [X19] :
( ~ c5_2(a487,X19)
| c4_2(a487,X19)
| ~ c2_2(a487,X19) )
| ~ ndr1_1(a487) )
& ndr1_0 )
| ~ sP3_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X19,sK1_skl)],[f95]) ).
fof(f97,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] :
( ~ c5_2(a487,X0)
| c4_2(a487,X0)
| ~ c2_2(a487,X0)
| ~ ndr1_1(a487)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ c2_1(a487)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f100,plain,
( c2_1(a487)
| ndr1_1(a487)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f101,plain,
( c2_1(a487)
| c2_2(a487,sK1_skl)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f102,plain,
( c2_1(a487)
| ~ c4_2(a487,sK1_skl)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f103,plain,
( c2_1(a487)
| c5_2(a487,sK1_skl)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f104,plain,
! [X21] :
( ( c2_2(X21,a489)
| ~ c5_2(X21,a489)
| ~ c3_2(X21,a489)
| ~ ndr1_1(X21)
| sP4_prd(X21) )
& ( ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) )
| ~ sP4_prd(X21) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
( ! [X21] :
( c2_2(X21,a489)
| ~ c5_2(X21,a489)
| ~ c3_2(X21,a489)
| ~ ndr1_1(X21)
| sP4_prd(X21) )
& ! [X21] :
( ( ~ c2_2(X21,a489)
& c5_2(X21,a489)
& c3_2(X21,a489)
& ndr1_1(X21) )
| ~ sP4_prd(X21) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [X0] :
( c3_2(X0,a489)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
! [X0] :
( c5_2(X0,a489)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f109,plain,
! [X0] :
( ~ c2_2(X0,a489)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f110,plain,
! [X0] :
( c2_2(X0,a489)
| ~ c5_2(X0,a489)
| ~ c3_2(X0,a489)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f111,definition,
( sQ0_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ0_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ2_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ2_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f111,f114,f117]) ).
fof(f121,definition,
( sQ3_spl
<=> c2_1(a471) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( sQ3_spl
| ~ c2_1(a471) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f111,f121,f117]) ).
fof(f125,definition,
( sQ4_spl
<=> c4_1(a471) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( sQ4_spl
| ~ c4_1(a471) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f111,f125,f117]) ).
fof(f129,definition,
( sQ5_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ5_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
! [X0] :
( sQ6_spl
<=> ( c5_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f133,plain,
! [X0] :
( ~ sQ6_spl
| c5_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ2_spl
| sQ6_spl
| ~ sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f14,f129,f114,f132,f117]) ).
fof(f136,definition,
( sQ7_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ7_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ7_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ sQ7_spl
| sQ2_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f15,f129,f117,f136]) ).
fof(f140,definition,
( sQ8_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ8_spl
| sP0_prd ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ8_spl
| ~ sP0_prd ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f16,f140,f114]) ).
fof(f144,definition,
( sQ9_spl
<=> ndr1_1(a474) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ9_spl
| ndr1_1(a474) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ9_spl
| ~ ndr1_1(a474) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
! [X0] :
( sQ10_spl
<=> ( ~ c3_2(a474,X0)
| c4_2(a474,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f148,plain,
! [X0] :
( ~ sQ10_spl
| ~ c3_2(a474,X0)
| c4_2(a474,X0) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ10_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f17,f140,f144,f147]) ).
fof(f151,definition,
! [X0] :
( sQ11_spl
<=> ( ~ c4_2(a474,X0)
| c1_2(a474,X0)
| ~ c5_2(a474,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f152,plain,
! [X0] :
( ~ sQ11_spl
| ~ c4_2(a474,X0)
| c1_2(a474,X0)
| ~ c5_2(a474,X0) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ11_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f18,f140,f144,f151]) ).
fof(f155,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f19,f140,f144]) ).
fof(f156,definition,
( sQ12_spl
<=> c5_2(a474,a475) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ12_spl
| ~ c5_2(a474,a475) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( ~ sQ12_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f20,f140,f156]) ).
fof(f160,definition,
( sQ13_spl
<=> c2_2(a474,a475) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ13_spl
| c2_2(a474,a475) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ13_spl
| ~ c2_2(a474,a475) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ13_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21,f140,f160]) ).
fof(f164,plain,
( ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f111,f129]) ).
fof(f165,definition,
( sQ14_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ14_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
! [X0,X1] :
( sQ15_spl
<=> ( ndr1_1(X0)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ15_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f23,f165,f111,f114,f168]) ).
fof(f172,definition,
! [X0,X1] :
( sQ16_spl
<=> ( ~ c3_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ c3_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f24,f165,f111,f114,f172]) ).
fof(f176,definition,
! [X0,X1] :
( sQ17_spl
<=> ( ~ c1_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f177,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ c1_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ17_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f25,f165,f111,f114,f176]) ).
fof(f180,definition,
! [X0,X1] :
( sQ18_spl
<=> ( ~ c5_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ c5_2(X0,a476)
| ~ c3_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ18_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f26,f165,f111,f114,f180]) ).
fof(f184,definition,
! [X0] :
( sQ19_spl
<=> ( ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f185,plain,
! [X0] :
( ~ sQ19_spl
| ~ c1_1(X0)
| ~ c4_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
! [X1] :
( sQ20_spl
<=> ( ~ c2_1(X1)
| sP1_prd(X1)
| c5_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f188,plain,
! [X0] :
( ~ sQ20_spl
| ~ c2_1(X0)
| sP1_prd(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f191,definition,
( sQ21_spl
<=> c2_1(a478) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ21_spl
| c2_1(a478) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ21_spl
| ~ c2_1(a478) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ19_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f28,f114,f184,f187,f191]) ).
fof(f195,definition,
( sQ22_spl
<=> ndr1_1(a478) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ22_spl
| ~ ndr1_1(a478) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
! [X2] :
( sQ23_spl
<=> ( ~ c4_2(a478,X2)
| ~ c1_2(a478,X2)
| ~ c2_2(a478,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f199,plain,
! [X0] :
( ~ sQ23_spl
| ~ c4_2(a478,X0)
| ~ c1_2(a478,X0)
| ~ c2_2(a478,X0) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ23_spl
| ~ sQ22_spl
| sQ20_spl
| sQ19_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f29,f114,f184,f187,f195,f198]) ).
fof(f202,definition,
( sQ24_spl
<=> c1_1(a478) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ24_spl
| c1_1(a478) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ24_spl
| sQ20_spl
| sQ19_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f30,f114,f184,f187,f202]) ).
fof(f206,plain,
( ~ sQ5_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f31,f165,f114,f129]) ).
fof(f207,definition,
( sQ25_spl
<=> c5_1(a479) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ25_spl
| c5_1(a479) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( ~ sQ5_spl
| sQ25_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f32,f165,f207,f129]) ).
fof(f211,definition,
( sQ26_spl
<=> ndr1_1(a479) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ26_spl
| ndr1_1(a479) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ26_spl
| ~ ndr1_1(a479) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
! [X0] :
( sQ27_spl
<=> ( ~ c2_2(a479,X0)
| ~ c5_2(a479,X0)
| ~ c1_2(a479,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0] :
( ~ sQ27_spl
| ~ c2_2(a479,X0)
| ~ c5_2(a479,X0)
| ~ c1_2(a479,X0) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ5_spl
| sQ27_spl
| ~ sQ26_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f33,f165,f211,f214,f129]) ).
fof(f218,definition,
! [X0,X1,X2] :
( sQ28_spl
<=> ( ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f222,definition,
( sQ29_spl
<=> ndr1_1(a480) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ29_spl
| ndr1_1(a480) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ28_spl
| ~ sQ1_spl
| sQ7_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f222,f136,f114,f218]) ).
fof(f226,definition,
( sQ30_spl
<=> c4_2(a480,a481) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ30_spl
| ~ c4_2(a480,a481) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( sQ28_spl
| ~ sQ1_spl
| sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f36,f226,f136,f114,f218]) ).
fof(f230,definition,
( sQ31_spl
<=> c1_2(a480,a481) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ31_spl
| c1_2(a480,a481) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ28_spl
| ~ sQ1_spl
| sQ7_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f37,f230,f136,f114,f218]) ).
fof(f234,definition,
( sQ32_spl
<=> c2_2(a480,a481) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ32_spl
| c2_2(a480,a481) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ28_spl
| ~ sQ1_spl
| sQ7_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f234,f136,f114,f218]) ).
fof(f238,definition,
( sQ33_spl
<=> c5_1(a480) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ33_spl
| ~ c5_1(a480) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ28_spl
| ~ sQ1_spl
| sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f238,f136,f114,f218]) ).
fof(f242,definition,
! [X0,X1,X2] :
( sQ34_spl
<=> ( ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
! [X3] :
( sQ35_spl
<=> ( ~ c2_1(X3)
| ndr1_1(X3)
| c1_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f246,plain,
! [X0] :
( ~ sQ35_spl
| ~ c2_1(X0)
| ndr1_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ sQ5_spl
| sQ35_spl
| sQ34_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f40,f114,f242,f245,f129]) ).
fof(f249,definition,
! [X3] :
( sQ36_spl
<=> ( ~ c2_1(X3)
| c3_2(X3,a482)
| c1_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0] :
( ~ sQ36_spl
| ~ c2_1(X0)
| c3_2(X0,a482)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ5_spl
| sQ36_spl
| sQ34_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f41,f114,f242,f249,f129]) ).
fof(f253,definition,
! [X3] :
( sQ37_spl
<=> ( ~ c2_1(X3)
| c1_2(X3,a482)
| c1_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0] :
( ~ sQ37_spl
| ~ c2_1(X0)
| c1_2(X0,a482)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( ~ sQ5_spl
| sQ37_spl
| sQ34_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f42,f114,f242,f253,f129]) ).
fof(f257,definition,
! [X3] :
( sQ38_spl
<=> ( ~ c2_1(X3)
| ~ c4_2(X3,a482)
| c1_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f258,plain,
! [X0] :
( ~ sQ38_spl
| ~ c2_1(X0)
| ~ c4_2(X0,a482)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ sQ5_spl
| sQ38_spl
| sQ34_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f43,f114,f242,f257,f129]) ).
fof(f261,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f44,f136,f117]) ).
fof(f262,definition,
! [X0] :
( sQ39_spl
<=> ( ~ c2_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f263,plain,
! [X0] :
( ~ sQ39_spl
| ~ c2_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( ~ sQ0_spl
| sQ14_spl
| sQ39_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f45,f114,f262,f165,f111]) ).
fof(f266,definition,
! [X0] :
( sQ40_spl
<=> ( ~ c2_1(X0)
| c3_2(X0,a483) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f267,plain,
! [X0] :
( ~ sQ40_spl
| ~ c2_1(X0)
| c3_2(X0,a483) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( ~ sQ0_spl
| sQ14_spl
| sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f46,f114,f266,f165,f111]) ).
fof(f270,definition,
! [X0] :
( sQ41_spl
<=> ( ~ c2_1(X0)
| c2_2(X0,a483) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f271,plain,
! [X0] :
( ~ sQ41_spl
| ~ c2_1(X0)
| c2_2(X0,a483) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( ~ sQ0_spl
| sQ14_spl
| sQ41_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f47,f114,f270,f165,f111]) ).
fof(f274,definition,
! [X0] :
( sQ42_spl
<=> ( ~ c2_1(X0)
| c1_2(X0,a483) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f275,plain,
! [X0] :
( ~ sQ42_spl
| ~ c2_1(X0)
| c1_2(X0,a483) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( ~ sQ0_spl
| sQ14_spl
| sQ42_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f114,f274,f165,f111]) ).
fof(f278,definition,
( sQ43_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ43_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ0_spl
| sQ1_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f49,f278,f114,f111]) ).
fof(f282,definition,
( sQ44_spl
<=> ndr1_1(a485) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ44_spl
| ndr1_1(a485) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ0_spl
| sQ44_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f50,f278,f282,f111]) ).
fof(f286,definition,
( sQ45_spl
<=> c3_2(a485,a486) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ45_spl
| c3_2(a485,a486) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ0_spl
| sQ45_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f51,f278,f286,f111]) ).
fof(f290,definition,
( sQ46_spl
<=> c2_2(a485,a486) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ46_spl
| c2_2(a485,a486) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ0_spl
| sQ46_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f52,f278,f290,f111]) ).
fof(f294,definition,
( sQ47_spl
<=> c5_2(a485,a486) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ47_spl
| c5_2(a485,a486) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ0_spl
| sQ47_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f53,f278,f294,f111]) ).
fof(f298,definition,
( sQ48_spl
<=> c2_1(a485) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ48_spl
| c2_1(a485) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ0_spl
| sQ48_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f54,f278,f298,f111]) ).
fof(f302,definition,
( sQ49_spl
<=> c4_1(a485) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ49_spl
| c4_1(a485) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ0_spl
| sQ49_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f55,f278,f302,f111]) ).
fof(f306,definition,
! [X0,X1] :
( sQ50_spl
<=> ( ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f307,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ0_spl
| ~ sQ7_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f56,f114,f306,f136,f111]) ).
fof(f310,definition,
! [X0,X1] :
( sQ51_spl
<=> ( c1_1(X0)
| c4_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f311,plain,
! [X0,X1] :
( ~ sQ51_spl
| c1_1(X0)
| c4_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
! [X2] :
( sQ52_spl
<=> c2_1(X2) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f314,plain,
! [X0] :
( ~ sQ52_spl
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ14_spl
| sQ52_spl
| sQ51_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f57,f114,f310,f313,f165]) ).
fof(f317,definition,
! [X0] :
( sQ53_spl
<=> ( c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f318,plain,
! [X0] :
( ~ sQ53_spl
| c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ7_spl
| sQ53_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f58,f129,f114,f317,f136]) ).
fof(f321,definition,
( sQ54_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ54_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ54_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ1_spl
| sQ54_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f59,f136,f321,f114]) ).
fof(f325,definition,
( sQ55_spl
<=> c4_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ55_spl
| c4_1(a488) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f327,plain,
( sQ55_spl
| ~ c4_1(a488) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( sQ55_spl
| sQ54_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f60,f136,f321,f325]) ).
fof(f329,definition,
( sQ56_spl
<=> ndr1_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ56_spl
| ndr1_1(a488) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ56_spl
| ~ ndr1_1(a488) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
! [X0] :
( sQ57_spl
<=> ( c4_2(a488,X0)
| c1_2(a488,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f333,plain,
! [X0] :
( ~ sQ57_spl
| c4_2(a488,X0)
| c1_2(a488,X0) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ57_spl
| ~ sQ56_spl
| sQ54_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f136,f321,f329,f332]) ).
fof(f336,definition,
( sQ58_spl
<=> c2_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ58_spl
| c2_1(a488) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ58_spl
| ~ c2_1(a488) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ58_spl
| sQ54_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f62,f136,f321,f336]) ).
fof(f340,definition,
! [X0] :
( sQ59_spl
<=> ( ndr1_1(X0)
| sP4_prd(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f341,plain,
! [X0] :
( ~ sQ59_spl
| ndr1_1(X0)
| sP4_prd(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ59_spl
| ~ sQ1_spl
| ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f63,f129,f136,f114,f340]) ).
fof(f344,definition,
! [X0] :
( sQ60_spl
<=> ( c1_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f345,plain,
! [X0] :
( ~ sQ60_spl
| c1_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( sQ60_spl
| ~ sQ1_spl
| ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f64,f129,f136,f114,f344]) ).
fof(f348,definition,
! [X0] :
( sQ61_spl
<=> ( ~ c3_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0] :
( ~ sQ61_spl
| ~ c3_2(X0,a490)
| sP4_prd(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ61_spl
| ~ sQ1_spl
| ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f65,f129,f136,f114,f348]) ).
fof(f352,definition,
! [X0] :
( sQ62_spl
<=> ( ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ62_spl
| ~ c5_1(X0)
| c4_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( ~ sQ0_spl
| sQ7_spl
| sQ62_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f66,f114,f352,f136,f111]) ).
fof(f356,plain,
( sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f67,f114,f129]) ).
fof(f357,definition,
( sQ63_spl
<=> c3_1(a491) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ63_spl
| c3_1(a491) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ5_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f68,f357,f129]) ).
fof(f361,definition,
( sQ64_spl
<=> c5_1(a491) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ64_spl
| c5_1(a491) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ5_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f69,f361,f129]) ).
fof(f365,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f71,f140,f114]) ).
fof(f366,definition,
( sQ65_spl
<=> c1_1(a472) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ65_spl
| ~ c1_1(a472) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( ~ sQ65_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f72,f140,f366]) ).
fof(f370,definition,
( sQ66_spl
<=> c5_1(a472) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ66_spl
| c5_1(a472) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ66_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f73,f140,f370]) ).
fof(f374,definition,
( sQ67_spl
<=> ndr1_1(a472) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ67_spl
| ndr1_1(a472) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( sQ67_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f74,f140,f374]) ).
fof(f378,definition,
( sQ68_spl
<=> c5_2(a472,a473) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ68_spl
| ~ c5_2(a472,a473) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ68_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f75,f140,f378]) ).
fof(f382,definition,
( sQ69_spl
<=> c3_2(a472,a473) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ69_spl
| c3_2(a472,a473) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ69_spl
| ~ c3_2(a472,a473) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ sQ69_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f76,f140,f382]) ).
fof(f386,plain,
( sQ69_spl
| sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl
| sQ65_spl
| ~ sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f77,f140,f114,f366,f370,f374,f378,f382]) ).
fof(f387,plain,
( sQ1_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f88,f278,f114]) ).
fof(f388,definition,
( sQ70_spl
<=> ndr1_1(a484) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ70_spl
| ndr1_1(a484) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
! [X0] :
( sQ71_spl
<=> c4_2(a484,X0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ71_spl
| c4_2(a484,X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ71_spl
| ~ sQ70_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f89,f278,f388,f391]) ).
fof(f395,definition,
( sQ72_spl
<=> c3_1(a484) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ72_spl
| c3_1(a484) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ72_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f90,f278,f395]) ).
fof(f399,definition,
( sQ73_spl
<=> c1_1(a484) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ73_spl
| c1_1(a484) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ sQ73_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f91,f278,f399]) ).
fof(f403,plain,
( sQ73_spl
| sQ72_spl
| sQ70_spl
| ~ sQ1_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f92,f278,f114,f388,f395,f399]) ).
fof(f404,definition,
( sQ74_spl
<=> c4_2(a484,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ74_spl
| ~ c4_2(a484,sK0_skl) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ73_spl
| sQ72_spl
| ~ sQ74_spl
| ~ sQ1_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f93,f278,f114,f404,f395,f399]) ).
fof(f408,plain,
( sQ1_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f97,f321,f114]) ).
fof(f409,definition,
( sQ75_spl
<=> ndr1_1(a487) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ75_spl
| ndr1_1(a487) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ75_spl
| ~ ndr1_1(a487) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
! [X0] :
( sQ76_spl
<=> ( ~ c5_2(a487,X0)
| c4_2(a487,X0)
| ~ c2_2(a487,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f413,plain,
! [X0] :
( ~ sQ76_spl
| ~ c5_2(a487,X0)
| c4_2(a487,X0)
| ~ c2_2(a487,X0) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ76_spl
| ~ sQ75_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f98,f321,f409,f412]) ).
fof(f416,definition,
( sQ77_spl
<=> c2_1(a487) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ77_spl
| c2_1(a487) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ77_spl
| ~ c2_1(a487) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( ~ sQ77_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f99,f321,f416]) ).
fof(f420,plain,
( sQ77_spl
| sQ75_spl
| ~ sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f100,f321,f114,f409,f416]) ).
fof(f421,definition,
( sQ78_spl
<=> c2_2(a487,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ78_spl
| c2_2(a487,sK1_skl) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sQ77_spl
| sQ78_spl
| ~ sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f101,f321,f114,f421,f416]) ).
fof(f425,definition,
( sQ79_spl
<=> c4_2(a487,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ79_spl
| ~ c4_2(a487,sK1_skl) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ77_spl
| ~ sQ79_spl
| ~ sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f102,f321,f114,f425,f416]) ).
fof(f429,definition,
( sQ80_spl
<=> c5_2(a487,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ80_spl
| c5_2(a487,sK1_skl) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ77_spl
| sQ80_spl
| ~ sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f103,f321,f114,f429,f416]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f219]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| ~ c4_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X2)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f243]) ).
fof(f435,plain,
( ~ sQ64_spl
| ~ sQ62_spl
| c4_1(a491)
| ~ c3_1(a491) ),
inference(resolution,[status(thm)],[f353,f362]) ).
fof(f436,definition,
( sQ81_spl
<=> c4_1(a491) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ81_spl
| c4_1(a491) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( ~ sQ64_spl
| ~ sQ62_spl
| sQ81_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f435,f357,f436,f352,f361]) ).
fof(f440,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ53_spl
| ~ c4_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(resolution,[status(thm)],[f318,f185]) ).
fof(f442,plain,
! [X0] :
( ~ sQ59_spl
| ndr1_1(X0)
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f106]) ).
fof(f443,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| ~ sQ59_spl
| ~ c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c5_2(X0,X2)
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f442]) ).
fof(f444,plain,
( ~ sQ57_spl
| ~ c5_2(a488,a477)
| c2_2(a488,a477)
| ~ ndr1_1(a488)
| sP1_prd(a488)
| c4_2(a488,a477) ),
inference(resolution,[status(thm)],[f333,f84]) ).
fof(f445,definition,
( sQ82_spl
<=> c4_2(a488,a477) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ82_spl
| c4_2(a488,a477) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ82_spl
| ~ c4_2(a488,a477) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ83_spl
<=> sP1_prd(a488) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ83_spl
| sP1_prd(a488) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ83_spl
| ~ sP1_prd(a488) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ84_spl
<=> c2_2(a488,a477) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ84_spl
| c2_2(a488,a477) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ85_spl
<=> c5_2(a488,a477) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ85_spl
| c5_2(a488,a477) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ85_spl
| ~ c5_2(a488,a477) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( ~ sQ57_spl
| ~ sQ85_spl
| sQ84_spl
| ~ sQ56_spl
| sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f444,f445,f448,f329,f451,f454,f332]) ).
fof(f458,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ35_spl
| ~ sQ59_spl
| c1_1(X0)
| c4_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f311,f459]) ).
fof(f459,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ59_spl
| ndr1_1(X0)
| c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f442]) ).
fof(f460,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ53_spl
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f318]) ).
fof(f461,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ50_spl
| ~ sQ53_spl
| sP4_prd(X0)
| c2_1(X0)
| ~ c3_2(X0,a490)
| c5_2(X0,a490)
| ~ ndr1_1(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f460,f345]) ).
fof(f462,plain,
( ~ sQ51_spl
| ~ sQ35_spl
| ~ sQ59_spl
| ~ sQ13_spl
| c1_1(a474)
| c4_1(a474)
| ~ c4_2(a474,a475)
| ~ c5_2(a474,a475) ),
inference(resolution,[status(thm)],[f161,f458]) ).
fof(f463,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ13_spl
| ~ c4_2(a474,X0)
| c5_2(a474,X0)
| c1_2(a474,X0)
| c4_1(a474)
| ~ c4_2(a474,a475)
| ~ c1_2(a474,a475)
| ~ ndr1_1(a474) ),
inference(resolution,[status(thm)],[f161,f434]) ).
fof(f464,definition,
( sQ86_spl
<=> c4_2(a474,a475) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ86_spl
| ~ c4_2(a474,a475) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ87_spl
<=> c4_1(a474) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ87_spl
| c4_1(a474) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ88_spl
<=> c1_1(a474) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ88_spl
| c1_1(a474) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( ~ sQ51_spl
| ~ sQ35_spl
| ~ sQ59_spl
| ~ sQ13_spl
| sQ88_spl
| sQ87_spl
| ~ sQ86_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f462,f156,f464,f467,f470,f160,f340,f245,f310]) ).
fof(f474,definition,
( sQ89_spl
<=> c1_2(a474,a475) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ89_spl
| ~ c1_2(a474,a475) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
! [X0] :
( sQ90_spl
<=> ( ~ c4_2(a474,X0)
| c5_2(a474,X0)
| c1_2(a474,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f478,plain,
! [X0] :
( ~ sQ90_spl
| ~ c4_2(a474,X0)
| c5_2(a474,X0)
| c1_2(a474,X0) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( ~ sQ34_spl
| ~ sQ13_spl
| sQ90_spl
| sQ87_spl
| ~ sQ86_spl
| ~ sQ89_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f463,f144,f474,f464,f467,f477,f160,f242]) ).
fof(f481,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ11_spl
| ~ c4_2(a474,X0)
| c1_2(a474,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f152]) ).
fof(f482,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ78_spl
| ~ c4_2(a487,X0)
| c5_2(a487,X0)
| c1_2(a487,X0)
| c4_1(a487)
| ~ c4_2(a487,sK1_skl)
| ~ c1_2(a487,sK1_skl)
| ~ ndr1_1(a487) ),
inference(resolution,[status(thm)],[f422,f434]) ).
fof(f483,definition,
( sQ91_spl
<=> c1_2(a487,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ91_spl
| ~ c1_2(a487,sK1_skl) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ92_spl
<=> c4_1(a487) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ92_spl
| c4_1(a487) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
! [X0] :
( sQ93_spl
<=> ( ~ c4_2(a487,X0)
| c5_2(a487,X0)
| c1_2(a487,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f490,plain,
! [X0] :
( ~ sQ93_spl
| ~ c4_2(a487,X0)
| c5_2(a487,X0)
| c1_2(a487,X0) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ sQ34_spl
| ~ sQ78_spl
| sQ93_spl
| sQ92_spl
| ~ sQ79_spl
| ~ sQ91_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f482,f409,f483,f425,f486,f489,f421,f242]) ).
fof(f493,plain,
( sQ74_spl
| ~ sQ71_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f406,f392]) ).
fof(f494,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ71_spl
| ~ c3_2(a484,a476)
| ~ c3_1(a484)
| c5_2(a484,X0)
| c3_2(a484,X0)
| ~ ndr1_1(a484) ),
inference(resolution,[status(thm)],[f392,f173]) ).
fof(f495,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ71_spl
| ~ c1_2(a484,a476)
| ~ c3_1(a484)
| c5_2(a484,X0)
| c3_2(a484,X0)
| ~ ndr1_1(a484) ),
inference(resolution,[status(thm)],[f392,f177]) ).
fof(f496,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ71_spl
| ~ c5_2(a484,a476)
| ~ c3_1(a484)
| c5_2(a484,X0)
| c3_2(a484,X0)
| ~ ndr1_1(a484) ),
inference(resolution,[status(thm)],[f392,f181]) ).
fof(f497,plain,
( sQ74_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f498,plain,
( ~ sQ36_spl
| ~ sQ58_spl
| c3_2(a488,a482)
| c1_1(a488) ),
inference(resolution,[status(thm)],[f337,f250]) ).
fof(f499,plain,
( ~ sQ37_spl
| ~ sQ58_spl
| c1_2(a488,a482)
| c1_1(a488) ),
inference(resolution,[status(thm)],[f337,f254]) ).
fof(f500,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| sP1_prd(a488)
| c5_1(a488) ),
inference(resolution,[status(thm)],[f337,f188]) ).
fof(f501,definition,
( sQ94_spl
<=> c1_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ94_spl
| c1_1(a488) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ95_spl
<=> c3_2(a488,a482) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ95_spl
| c3_2(a488,a482) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( sQ95_spl
| ~ c3_2(a488,a482) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ sQ36_spl
| ~ sQ58_spl
| sQ95_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f498,f501,f504,f336,f249]) ).
fof(f508,definition,
( sQ96_spl
<=> c1_2(a488,a482) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ96_spl
| c1_2(a488,a482) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ sQ37_spl
| ~ sQ58_spl
| sQ96_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f499,f501,f508,f336,f253]) ).
fof(f512,definition,
( sQ97_spl
<=> c5_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ97_spl
| c5_1(a488) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| sQ83_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f500,f512,f448,f336,f187]) ).
fof(f516,plain,
( ~ sQ19_spl
| ~ sQ53_spl
| ~ sQ55_spl
| c2_1(a488)
| c3_1(a488) ),
inference(resolution,[status(thm)],[f326,f440]) ).
fof(f517,definition,
( sQ98_spl
<=> c3_1(a488) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ98_spl
| c3_1(a488) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ98_spl
| ~ c3_1(a488) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ19_spl
| ~ sQ53_spl
| ~ sQ55_spl
| sQ58_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f516,f517,f336,f325,f317,f184]) ).
fof(f521,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ52_spl
| sP1_prd(X0)
| c5_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f188,f314]) ).
fof(f522,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ52_spl
| c1_2(X0,a477)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f521,f83]) ).
fof(f523,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ52_spl
| c5_2(X0,a477)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f521,f82]) ).
fof(f524,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ52_spl
| ndr1_1(X0)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f521,f80]) ).
fof(f525,plain,
( sQ56_spl
| ~ sQ20_spl
| ~ sQ52_spl
| c5_1(a488) ),
inference(resolution,[status(thm)],[f524,f331]) ).
fof(f529,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ46_spl
| ~ c4_2(a485,X0)
| c5_2(a485,X0)
| c1_2(a485,X0)
| c4_1(a485)
| ~ c4_2(a485,a486)
| ~ c1_2(a485,a486)
| ~ ndr1_1(a485) ),
inference(resolution,[status(thm)],[f291,f434]) ).
fof(f530,definition,
( sQ99_spl
<=> c1_2(a485,a486) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( sQ99_spl
| ~ c1_2(a485,a486) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ100_spl
<=> c4_2(a485,a486) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ100_spl
| ~ c4_2(a485,a486) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
! [X0] :
( sQ101_spl
<=> ( ~ c4_2(a485,X0)
| c5_2(a485,X0)
| c1_2(a485,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f537,plain,
! [X0] :
( ~ sQ101_spl
| ~ c4_2(a485,X0)
| c5_2(a485,X0)
| c1_2(a485,X0) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| sQ101_spl
| sQ49_spl
| ~ sQ100_spl
| ~ sQ99_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f529,f282,f530,f533,f302,f536,f290,f242]) ).
fof(f540,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ52_spl
| c1_2(X0,a483) ),
inference(forward_subsumption_resolution,[status(thm)],[f275,f314]) ).
fof(f541,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ52_spl
| ~ c3_2(X0,a483)
| c5_2(X0,a483)
| ~ ndr1_1(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f540,f460]) ).
fof(f542,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ52_spl
| c2_2(X0,a483) ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f314]) ).
fof(f543,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| ~ sQ52_spl
| ~ c5_2(a487,a483)
| c4_2(a487,a483) ),
inference(resolution,[status(thm)],[f542,f413]) ).
fof(f544,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ41_spl
| ~ sQ52_spl
| ~ c4_2(X0,X1)
| c5_2(X0,X1)
| c1_2(X0,X1)
| c4_1(X0)
| ~ c4_2(X0,a483)
| ~ c1_2(X0,a483)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f542,f434]) ).
fof(f545,definition,
( sQ102_spl
<=> c4_2(a487,a483) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ102_spl
| c4_2(a487,a483) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ103_spl
<=> c5_2(a487,a483) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( sQ103_spl
| ~ c5_2(a487,a483) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f543,f545,f548,f313,f270,f412]) ).
fof(f552,plain,
! [X0,X1] :
( ~ sQ34_spl
| ~ sQ41_spl
| ~ sQ52_spl
| ~ sQ42_spl
| ~ c4_2(X0,X1)
| c5_2(X0,X1)
| c1_2(X0,X1)
| c4_1(X0)
| ~ c4_2(X0,a483)
| ~ ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f540]) ).
fof(f553,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ28_spl
| ~ c4_2(a485,X0)
| c2_2(a485,X0)
| ~ c5_2(a485,X0)
| c4_2(a485,a486)
| ~ c5_2(a485,a486)
| ~ ndr1_1(a485)
| c2_1(a485) ),
inference(resolution,[status(thm)],[f433,f287]) ).
fof(f554,definition,
! [X0] :
( sQ104_spl
<=> ( ~ c4_2(a485,X0)
| c2_2(a485,X0)
| ~ c5_2(a485,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f555,plain,
! [X0] :
( ~ sQ104_spl
| ~ c4_2(a485,X0)
| c2_2(a485,X0)
| ~ c5_2(a485,X0) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ45_spl
| ~ sQ28_spl
| sQ104_spl
| sQ100_spl
| ~ sQ47_spl
| ~ sQ44_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f553,f298,f282,f294,f533,f554,f218,f286]) ).
fof(f558,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ53_spl
| ~ sQ60_spl
| ~ c3_2(X0,a490)
| c5_2(X0,a490)
| ~ ndr1_1(X0)
| c1_1(X0)
| sP4_prd(X0)
| c2_1(X0) ),
inference(resolution,[status(thm)],[f345,f460]) ).
fof(f559,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ53_spl
| c2_1(a485)
| c3_1(a485) ),
inference(resolution,[status(thm)],[f440,f303]) ).
fof(f560,definition,
( sQ105_spl
<=> c3_1(a485) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ105_spl
| c3_1(a485) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ53_spl
| sQ48_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f559,f560,f298,f317,f184,f302]) ).
fof(f564,plain,
( ~ sQ6_spl
| sQ33_spl
| c3_1(a480) ),
inference(resolution,[status(thm)],[f240,f133]) ).
fof(f565,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ32_spl
| ~ c4_2(a480,X0)
| c5_2(a480,X0)
| c1_2(a480,X0)
| c4_1(a480)
| ~ c4_2(a480,a481)
| ~ c1_2(a480,a481)
| ~ ndr1_1(a480) ),
inference(resolution,[status(thm)],[f235,f434]) ).
fof(f566,definition,
( sQ106_spl
<=> c4_1(a480) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ106_spl
| c4_1(a480) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
! [X0] :
( sQ107_spl
<=> ( ~ c4_2(a480,X0)
| c5_2(a480,X0)
| c1_2(a480,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f570,plain,
! [X0] :
( ~ sQ107_spl
| ~ c4_2(a480,X0)
| c5_2(a480,X0)
| c1_2(a480,X0) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| sQ107_spl
| sQ106_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f565,f222,f230,f226,f566,f569,f234,f242]) ).
fof(f573,plain,
( ~ sQ62_spl
| ~ sQ25_spl
| c4_1(a479)
| ~ c3_1(a479) ),
inference(resolution,[status(thm)],[f208,f353]) ).
fof(f574,definition,
( sQ108_spl
<=> c3_1(a479) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( sQ108_spl
| ~ c3_1(a479) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ109_spl
<=> c4_1(a479) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ109_spl
| c4_1(a479) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ sQ62_spl
| ~ sQ25_spl
| sQ109_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f573,f574,f577,f207,f352]) ).
fof(f581,plain,
( ~ sQ39_spl
| ~ sQ77_spl
| ndr1_1(a487) ),
inference(resolution,[status(thm)],[f417,f263]) ).
fof(f582,plain,
( ~ sQ40_spl
| ~ sQ77_spl
| c3_2(a487,a483) ),
inference(resolution,[status(thm)],[f417,f267]) ).
fof(f583,plain,
( ~ sQ20_spl
| ~ sQ77_spl
| sP1_prd(a487)
| c5_1(a487) ),
inference(resolution,[status(thm)],[f417,f188]) ).
fof(f584,plain,
( ~ sQ39_spl
| ~ sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f581,f409,f416,f262]) ).
fof(f585,definition,
( sQ110_spl
<=> c5_1(a487) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ110_spl
| c5_1(a487) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ111_spl
<=> sP1_prd(a487) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ111_spl
| sP1_prd(a487) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( ~ sQ20_spl
| ~ sQ77_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f583,f585,f588,f416,f187]) ).
fof(f592,plain,
( ~ sQ53_spl
| sQ65_spl
| c3_1(a472) ),
inference(resolution,[status(thm)],[f368,f318]) ).
fof(f593,plain,
( ~ sQ62_spl
| ~ sQ66_spl
| c4_1(a472)
| ~ c3_1(a472) ),
inference(resolution,[status(thm)],[f371,f353]) ).
fof(f594,definition,
( sQ112_spl
<=> c3_1(a472) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( sQ112_spl
| ~ c3_1(a472) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ113_spl
<=> c4_1(a472) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ113_spl
| c4_1(a472) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ sQ62_spl
| ~ sQ66_spl
| sQ113_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f593,f594,f597,f370,f352]) ).
fof(f602,plain,
( sQ22_spl
| ~ sQ59_spl
| c2_1(a478) ),
inference(resolution,[status(thm)],[f442,f197]) ).
fof(f603,plain,
( sQ26_spl
| ~ sQ59_spl
| c2_1(a479) ),
inference(resolution,[status(thm)],[f442,f213]) ).
fof(f604,plain,
( sQ56_spl
| ~ sQ59_spl
| c2_1(a488) ),
inference(resolution,[status(thm)],[f442,f331]) ).
fof(f605,plain,
( sQ22_spl
| ~ sQ59_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f193]) ).
fof(f606,plain,
( sQ22_spl
| ~ sQ59_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ56_spl
| ~ sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f604,f336,f340,f329]) ).
fof(f608,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ50_spl
| sP4_prd(X0)
| c2_1(X0)
| ~ c3_2(X0,a490)
| c5_2(X0,a490)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f307,f345]) ).
fof(f609,plain,
( ~ sQ42_spl
| ~ sQ48_spl
| c1_2(a485,a483) ),
inference(resolution,[status(thm)],[f299,f275]) ).
fof(f610,plain,
( ~ sQ40_spl
| ~ sQ48_spl
| c3_2(a485,a483) ),
inference(resolution,[status(thm)],[f299,f267]) ).
fof(f611,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| sP1_prd(a485)
| c5_1(a485) ),
inference(resolution,[status(thm)],[f299,f188]) ).
fof(f612,definition,
( sQ114_spl
<=> c5_1(a485) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ114_spl
| c5_1(a485) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ115_spl
<=> sP1_prd(a485) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ115_spl
| sP1_prd(a485) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f611,f612,f615,f298,f187]) ).
fof(f619,plain,
( ~ sQ73_spl
| ~ sQ19_spl
| ~ c4_1(a484)
| c2_1(a484) ),
inference(resolution,[status(thm)],[f185,f400]) ).
fof(f620,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| ~ c4_1(a478)
| c2_1(a478) ),
inference(resolution,[status(thm)],[f185,f203]) ).
fof(f621,definition,
( sQ116_spl
<=> c2_1(a484) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ116_spl
| c2_1(a484) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ117_spl
<=> c4_1(a484) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( sQ117_spl
| ~ c4_1(a484) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ73_spl
| ~ sQ19_spl
| ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f619,f621,f624,f184,f399]) ).
fof(f628,definition,
( sQ118_spl
<=> c4_1(a478) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ118_spl
| ~ c4_1(a478) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| ~ sQ118_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f620,f191,f628,f184,f202]) ).
fof(f632,plain,
( ~ sQ59_spl
| sQ75_spl
| c2_1(a487) ),
inference(resolution,[status(thm)],[f411,f442]) ).
fof(f633,plain,
( ~ sQ59_spl
| sQ75_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f632,f416,f409,f340]) ).
fof(f634,plain,
( ~ sQ42_spl
| ~ sQ21_spl
| c1_2(a478,a483) ),
inference(resolution,[status(thm)],[f192,f275]) ).
fof(f635,plain,
( ~ sQ40_spl
| ~ sQ21_spl
| c3_2(a478,a483) ),
inference(resolution,[status(thm)],[f192,f267]) ).
fof(f636,plain,
( ~ sQ83_spl
| c1_2(a488,a477) ),
inference(resolution,[status(thm)],[f449,f83]) ).
fof(f637,plain,
( ~ sQ83_spl
| c5_2(a488,a477) ),
inference(resolution,[status(thm)],[f449,f82]) ).
fof(f638,plain,
( ~ sQ83_spl
| ndr1_1(a488) ),
inference(resolution,[status(thm)],[f449,f80]) ).
fof(f639,plain,
( ~ sQ19_spl
| ~ sQ88_spl
| ~ c4_1(a474)
| c2_1(a474) ),
inference(resolution,[status(thm)],[f471,f185]) ).
fof(f640,definition,
( sQ119_spl
<=> c2_1(a474) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ119_spl
| c2_1(a474) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( ~ sQ19_spl
| ~ sQ88_spl
| ~ sQ87_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f639,f640,f467,f470,f184]) ).
fof(f644,plain,
( ~ sQ19_spl
| ~ sQ94_spl
| ~ c4_1(a488)
| c2_1(a488) ),
inference(resolution,[status(thm)],[f502,f185]) ).
fof(f645,plain,
( ~ sQ19_spl
| ~ sQ94_spl
| ~ sQ55_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f644,f336,f325,f501,f184]) ).
fof(f646,plain,
( ~ sQ83_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f638,f329,f448]) ).
fof(f647,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| c1_2(a487,a483) ),
inference(resolution,[status(thm)],[f417,f275]) ).
fof(f649,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| c1_2(a488,a483) ),
inference(resolution,[status(thm)],[f337,f275]) ).
fof(f650,plain,
( ~ sQ40_spl
| ~ sQ58_spl
| c3_2(a488,a483) ),
inference(resolution,[status(thm)],[f337,f267]) ).
fof(f651,plain,
( ~ sQ59_spl
| sQ56_spl
| c2_1(a488) ),
inference(resolution,[status(thm)],[f331,f442]) ).
fof(f652,plain,
( ~ sQ84_spl
| ~ sP1_prd(a488) ),
inference(resolution,[status(thm)],[f452,f81]) ).
fof(f653,plain,
( ~ sQ16_spl
| ~ sQ82_spl
| ~ c3_2(a488,a476)
| ~ c3_1(a488)
| c5_2(a488,a477)
| c3_2(a488,a477)
| ~ ndr1_1(a488) ),
inference(resolution,[status(thm)],[f446,f173]) ).
fof(f654,plain,
( ~ sQ17_spl
| ~ sQ82_spl
| ~ c1_2(a488,a476)
| ~ c3_1(a488)
| c5_2(a488,a477)
| c3_2(a488,a477)
| ~ ndr1_1(a488) ),
inference(resolution,[status(thm)],[f446,f177]) ).
fof(f655,plain,
( ~ sQ18_spl
| ~ sQ82_spl
| ~ c5_2(a488,a476)
| ~ c3_1(a488)
| c5_2(a488,a477)
| c3_2(a488,a477)
| ~ ndr1_1(a488) ),
inference(resolution,[status(thm)],[f446,f181]) ).
fof(f656,definition,
( sQ120_spl
<=> c3_2(a488,a477) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ120_spl
| c3_2(a488,a477) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ121_spl
<=> c3_2(a488,a476) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( sQ121_spl
| ~ c3_2(a488,a476) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ16_spl
| ~ sQ82_spl
| ~ sQ121_spl
| ~ sQ98_spl
| sQ85_spl
| sQ120_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f653,f329,f656,f454,f517,f659,f445,f172]) ).
fof(f663,definition,
( sQ122_spl
<=> c1_2(a488,a476) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ122_spl
| c1_2(a488,a476) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( sQ122_spl
| ~ c1_2(a488,a476) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ sQ17_spl
| ~ sQ82_spl
| ~ sQ122_spl
| ~ sQ98_spl
| sQ85_spl
| sQ120_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f654,f329,f656,f454,f517,f663,f445,f176]) ).
fof(f667,definition,
( sQ123_spl
<=> c5_2(a488,a476) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( sQ123_spl
| ~ c5_2(a488,a476) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( ~ sQ18_spl
| ~ sQ82_spl
| ~ sQ123_spl
| ~ sQ98_spl
| sQ85_spl
| sQ120_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f655,f329,f656,f454,f517,f667,f445,f180]) ).
fof(f672,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ57_spl
| ~ c3_2(a488,X0)
| c5_2(a488,X0)
| ~ ndr1_1(a488)
| ~ c3_1(a488)
| c1_1(a488)
| c4_2(a488,X0) ),
inference(resolution,[status(thm)],[f333,f307]) ).
fof(f674,definition,
! [X0] :
( sQ124_spl
<=> ( ~ c3_2(a488,X0)
| c5_2(a488,X0)
| c4_2(a488,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f675,plain,
! [X0] :
( ~ sQ124_spl
| ~ c3_2(a488,X0)
| c5_2(a488,X0)
| c4_2(a488,X0) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ50_spl
| ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ98_spl
| sQ94_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f672,f674,f501,f517,f329,f332,f306]) ).
fof(f678,plain,
( ~ sQ111_spl
| c1_2(a487,a477) ),
inference(resolution,[status(thm)],[f589,f83]) ).
fof(f679,plain,
( ~ sQ111_spl
| c5_2(a487,a477) ),
inference(resolution,[status(thm)],[f589,f82]) ).
fof(f680,plain,
( ~ sQ111_spl
| ndr1_1(a487) ),
inference(resolution,[status(thm)],[f589,f80]) ).
fof(f681,plain,
( ~ sQ42_spl
| sQ26_spl
| ~ sQ59_spl
| c1_2(a479,a483) ),
inference(resolution,[status(thm)],[f603,f275]) ).
fof(f682,plain,
( ~ sQ40_spl
| sQ26_spl
| ~ sQ59_spl
| c3_2(a479,a483) ),
inference(resolution,[status(thm)],[f603,f267]) ).
fof(f683,plain,
( ~ sQ115_spl
| c1_2(a485,a477) ),
inference(resolution,[status(thm)],[f616,f83]) ).
fof(f684,plain,
( ~ sQ115_spl
| c5_2(a485,a477) ),
inference(resolution,[status(thm)],[f616,f82]) ).
fof(f685,plain,
( ~ sQ115_spl
| ndr1_1(a485) ),
inference(resolution,[status(thm)],[f616,f80]) ).
fof(f686,plain,
( ~ sQ124_spl
| ~ sQ95_spl
| c5_2(a488,a482)
| c4_2(a488,a482) ),
inference(resolution,[status(thm)],[f505,f675]) ).
fof(f687,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ95_spl
| ~ c4_2(a488,X0)
| c2_2(a488,X0)
| ~ c5_2(a488,X0)
| c4_2(a488,a482)
| ~ c5_2(a488,a482)
| c2_1(a488) ),
inference(resolution,[status(thm)],[f505,f443]) ).
fof(f688,definition,
( sQ125_spl
<=> c4_2(a488,a482) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ125_spl
| c4_2(a488,a482) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,definition,
( sQ126_spl
<=> c5_2(a488,a482) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( sQ126_spl
| ~ c5_2(a488,a482) ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( ~ sQ124_spl
| ~ sQ95_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f686,f688,f691,f504,f674]) ).
fof(f695,definition,
! [X0] :
( sQ127_spl
<=> ( ~ c4_2(a488,X0)
| c2_2(a488,X0)
| ~ c5_2(a488,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f696,plain,
! [X0] :
( ~ sQ127_spl
| ~ c4_2(a488,X0)
| c2_2(a488,X0)
| ~ c5_2(a488,X0) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ95_spl
| sQ127_spl
| sQ125_spl
| ~ sQ126_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f687,f336,f691,f688,f695,f504,f340,f218]) ).
fof(f699,plain,
( ~ sQ93_spl
| ~ sQ102_spl
| c5_2(a487,a483)
| c1_2(a487,a483) ),
inference(resolution,[status(thm)],[f546,f490]) ).
fof(f700,definition,
( sQ128_spl
<=> c1_2(a487,a483) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ128_spl
| c1_2(a487,a483) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ93_spl
| ~ sQ102_spl
| sQ103_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f699,f700,f548,f545,f489]) ).
fof(f712,plain,
( ~ sQ42_spl
| ~ sQ116_spl
| c1_2(a484,a483) ),
inference(resolution,[status(thm)],[f622,f275]) ).
fof(f713,plain,
( ~ sQ40_spl
| ~ sQ116_spl
| c3_2(a484,a483) ),
inference(resolution,[status(thm)],[f622,f267]) ).
fof(f738,plain,
( ~ sQ83_spl
| c1_2(a488,a477) ),
inference(resolution,[status(thm)],[f449,f83]) ).
fof(f739,plain,
( ~ sQ83_spl
| c5_2(a488,a477) ),
inference(resolution,[status(thm)],[f449,f82]) ).
fof(f740,plain,
( ~ sQ83_spl
| ndr1_1(a488) ),
inference(resolution,[status(thm)],[f449,f80]) ).
fof(f741,plain,
( ~ sQ42_spl
| ~ sQ119_spl
| c1_2(a474,a483) ),
inference(resolution,[status(thm)],[f641,f275]) ).
fof(f742,plain,
( ~ sQ40_spl
| ~ sQ119_spl
| c3_2(a474,a483) ),
inference(resolution,[status(thm)],[f641,f267]) ).
fof(f743,plain,
( ~ sQ84_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f652,f449]) ).
fof(f744,plain,
( ~ sQ84_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f745,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ120_spl
| ~ c4_2(a488,X0)
| c2_2(a488,X0)
| ~ c5_2(a488,X0)
| c4_2(a488,a477)
| ~ c5_2(a488,a477)
| c2_1(a488) ),
inference(resolution,[status(thm)],[f657,f443]) ).
fof(f746,plain,
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ120_spl
| sQ127_spl
| sQ82_spl
| ~ sQ85_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f745,f336,f454,f445,f695,f656,f340,f218]) ).
fof(f751,plain,
( sQ122_spl
| ~ sQ57_spl
| c4_2(a488,a476) ),
inference(resolution,[status(thm)],[f333,f665]) ).
fof(f762,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ40_spl
| sQ26_spl
| ~ c4_2(a479,X0)
| c2_2(a479,X0)
| ~ c5_2(a479,X0)
| c4_2(a479,a483)
| ~ c5_2(a479,a483)
| c2_1(a479) ),
inference(resolution,[status(thm)],[f682,f443]) ).
fof(f763,definition,
( sQ139_spl
<=> c2_1(a479) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ139_spl
| c2_1(a479) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ140_spl
<=> c5_2(a479,a483) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( sQ140_spl
| ~ c5_2(a479,a483) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ141_spl
<=> c4_2(a479,a483) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ141_spl
| c4_2(a479,a483) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
! [X0] :
( sQ142_spl
<=> ( ~ c4_2(a479,X0)
| c2_2(a479,X0)
| ~ c5_2(a479,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0] :
( ~ sQ142_spl
| ~ c4_2(a479,X0)
| c2_2(a479,X0)
| ~ c5_2(a479,X0) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ28_spl
| ~ sQ59_spl
| ~ sQ40_spl
| sQ26_spl
| sQ142_spl
| sQ141_spl
| ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f762,f763,f766,f769,f772,f211,f266,f340,f218]) ).
fof(f784,plain,
( ~ sQ38_spl
| ~ sQ125_spl
| ~ c2_1(a488)
| c1_1(a488) ),
inference(resolution,[status(thm)],[f689,f258]) ).
fof(f785,plain,
( ~ sQ38_spl
| ~ sQ125_spl
| ~ sQ58_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f784,f501,f336,f688,f257]) ).
fof(f786,plain,
( ~ sQ125_spl
| ~ sQ127_spl
| c2_2(a488,a482)
| ~ c5_2(a488,a482) ),
inference(resolution,[status(thm)],[f696,f689]) ).
fof(f787,definition,
( sQ145_spl
<=> c2_2(a488,a482) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ145_spl
| c2_2(a488,a482) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ sQ125_spl
| ~ sQ127_spl
| sQ145_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f786,f691,f787,f695,f688]) ).
fof(f791,plain,
( ~ sQ42_spl
| ~ sQ139_spl
| c1_2(a479,a483) ),
inference(resolution,[status(thm)],[f764,f275]) ).
fof(f792,plain,
( ~ sQ40_spl
| ~ sQ139_spl
| c3_2(a479,a483) ),
inference(resolution,[status(thm)],[f764,f267]) ).
fof(f804,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| ~ sQ119_spl
| c4_2(a474,a483) ),
inference(resolution,[status(thm)],[f742,f148]) ).
fof(f816,plain,
( ~ sQ127_spl
| sQ122_spl
| ~ sQ57_spl
| c2_2(a488,a476)
| ~ c5_2(a488,a476) ),
inference(resolution,[status(thm)],[f751,f696]) ).
fof(f817,definition,
( sQ152_spl
<=> c2_2(a488,a476) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ152_spl
| c2_2(a488,a476) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ sQ127_spl
| sQ122_spl
| ~ sQ57_spl
| sQ152_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f816,f667,f817,f332,f663,f695]) ).
fof(f821,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| c2_2(a479,a483)
| ~ c5_2(a479,a483) ),
inference(resolution,[status(thm)],[f773,f770]) ).
fof(f822,definition,
( sQ153_spl
<=> c2_2(a479,a483) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ153_spl
| c2_2(a479,a483) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| sQ153_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f821,f766,f822,f772,f769]) ).
fof(f828,plain,
( ~ sQ90_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ40_spl
| ~ sQ119_spl
| c1_2(a474,a483) ),
inference(resolution,[status(thm)],[f804,f481]) ).
fof(f829,plain,
( ~ sQ27_spl
| ~ sQ153_spl
| ~ c5_2(a479,a483)
| ~ c1_2(a479,a483) ),
inference(resolution,[status(thm)],[f823,f215]) ).
fof(f830,definition,
( sQ154_spl
<=> c1_2(a479,a483) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ154_spl
| c1_2(a479,a483) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( sQ154_spl
| ~ c1_2(a479,a483) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( ~ sQ27_spl
| ~ sQ153_spl
| ~ sQ140_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f829,f830,f766,f822,f214]) ).
fof(f834,plain,
( sQ154_spl
| ~ sQ42_spl
| ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f791]) ).
fof(f835,plain,
( sQ154_spl
| ~ sQ42_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
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
| sQ19_spl
| sQ21_spl
| sQ23_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| ~ sQ30_spl
| ~ sQ33_spl
| sQ38_spl
| sQ40_spl
| sQ42_spl
| ~ sQ43_spl
| sQ44_spl
| sQ48_spl
| sQ49_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ57_spl
| sQ58_spl
| sQ59_spl
| sQ60_spl
| sQ61_spl
| ~ sQ62_spl
| sQ63_spl
| sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ71_spl
| sQ72_spl
| sQ75_spl
| sQ76_spl
| sQ77_spl
| ~ sQ79_spl
| sQ80_spl
| sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ89_spl
| sQ90_spl
| ~ sQ91_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| ~ sQ95_spl
| sQ96_spl
| sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| sQ101_spl
| sQ102_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
| sQ125_spl
| ~ sQ126_spl
| sQ127_spl
| sQ128_spl
| sQ139_spl
| ~ sQ140_spl
| sQ141_spl
| sQ142_spl
| sQ145_spl
| sQ152_spl
| sQ153_spl
| sQ154_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN534+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:06:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.14/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.056420 seconds
% 0.14/0.42 % CPU time: 0.181092 seconds
% 0.14/0.42 % Total memory used: 21.519 MB
% 0.14/0.42 % Net memory used: 21.424 MB
%------------------------------------------------------------------------------