%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN515+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:53 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.45s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ( ! [X19] :
( ndr1_1(a26)
=> ( ~ c1_2(a26,X19)
| c4_2(a26,X19)
| c2_2(a26,X19) ) )
& ~ c5_1(a26)
& ndr1_0 )
| ( ! [X18] :
( ndr1_1(a24)
=> ( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18) ) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( ndr1_1(a24)
=> ( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17) ) )
& ndr1_0 )
| ! [X15] :
( ndr1_0
=> ( ! [X16] :
( ndr1_1(X15)
=> ( c4_2(X15,X16)
| c5_2(X15,X16) ) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) ) ) ) )
& ( c4_0
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c1_2(X13,X14)
| ~ c4_2(X13,X14)
| ~ c2_2(X13,X14) ) )
| ( c5_2(X13,a21)
& ~ c4_2(X13,a21)
& ~ c1_2(X13,a21)
& ndr1_1(X13) )
| ~ c5_1(X13) ) )
| ~ c3_0 )
& ( ( ! [X12] :
( ndr1_1(a19)
=> ( ~ c4_2(a19,X12)
| ~ c3_2(a19,X12) ) )
& ~ c4_2(a19,a20)
& c3_2(a19,a20)
& ndr1_1(a19)
& ~ c2_1(a19)
& ndr1_0 )
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ~ c3_1(X11)
| ~ c4_1(X11) ) )
| ~ c4_0 )
& ( ! [X9] :
( ndr1_0
=> ( ! [X10] :
( ndr1_1(X9)
=> ( c1_2(X9,X10)
| c3_2(X9,X10)
| ~ c4_2(X9,X10) ) )
| c1_1(X9)
| ( c3_2(X9,a18)
& c2_2(X9,a18)
& ndr1_1(X9) ) ) )
| ~ c5_0
| ! [X8] :
( ndr1_0
=> ( ( ~ c4_2(X8,a17)
& c1_2(X8,a17)
& c5_2(X8,a17)
& ndr1_1(X8) )
| ~ c2_1(X8)
| ~ c5_1(X8) ) ) )
& ( ( ~ c5_1(a16)
& ~ c3_1(a16)
& ! [X7] :
( ndr1_1(a16)
=> ( ~ c3_2(a16,X7)
| ~ c1_2(a16,X7)
| ~ c4_2(a16,X7) ) )
& ndr1_0 )
| ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ! [X6] :
( ndr1_1(a14)
=> ( ~ c3_2(a14,X6)
| c5_2(a14,X6) ) )
& ndr1_0 )
| ! [X5] :
( ndr1_0
=> ( c5_1(X5)
| c2_1(X5) ) ) )
& ( ( ! [X4] :
( ndr1_1(a13)
=> ( c3_2(a13,X4)
| c4_2(a13,X4) ) )
& ! [X3] :
( ndr1_1(a13)
=> ( ~ c5_2(a13,X3)
| c3_2(a13,X3)
| c1_2(a13,X3) ) )
& ~ c4_1(a13)
& ndr1_0 )
| ( ~ c5_1(a12)
& c3_1(a12)
& c4_1(a12)
& ndr1_0 )
| c4_0 )
& ( ~ c4_0
| ( c1_1(a10)
& ~ c1_2(a10,a11)
& c2_2(a10,a11)
& c5_2(a10,a11)
& ndr1_1(a10)
& c5_1(a10)
& ndr1_0 )
| ( c1_2(a8,a9)
& c3_2(a8,a9)
& ~ c2_2(a8,a9)
& ndr1_1(a8)
& c1_1(a8)
& ~ c3_1(a8)
& ndr1_0 ) )
& ( c2_0
| ( c4_1(a7)
& ~ c3_1(a7)
& ~ c1_1(a7)
& ndr1_0 )
| ~ c1_0 )
& ( c5_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X2] :
( ndr1_0
=> ( ( ~ c5_2(X2,a6)
& c2_2(X2,a6)
& c3_2(X2,a6)
& ndr1_1(X2) )
| ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) )
| ~ c3_1(X2) ) )
| ( ! [X1] :
( ndr1_1(a4)
=> ( ~ c5_2(a4,X1)
| ~ c3_2(a4,X1)
| c4_2(a4,X1) ) )
& ! [Z] :
( ndr1_1(a4)
=> ( ~ c2_2(a4,Z)
| c3_2(a4,Z) ) )
& ! [Y] :
( ndr1_1(a4)
=> ( c3_2(a4,Y)
| ~ c5_2(a4,Y)
| ~ c4_2(a4,Y) ) )
& ndr1_0 )
| c4_0 )
& ( ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( ~ c4_2(W,X)
| ~ c3_2(W,X)
| ~ c5_2(W,X) ) )
| ~ c5_1(W)
| ~ c3_1(W) ) )
| c1_0
| ( ~ c3_1(a3)
& ~ c5_1(a3)
& ! [V] :
( ndr1_1(a3)
=> ( c3_2(a3,V)
| ~ c1_2(a3,V)
| ~ c5_2(a3,V) ) )
& ndr1_0 ) )
& ( c5_0
| ~ c3_0
| ! [U] :
( ndr1_0
=> ( ~ c1_1(U)
| ( ~ c5_2(U,a2)
& c3_2(U,a2)
& ndr1_1(U) )
| ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ( ! [X19] :
( ndr1_1(a26)
=> ( ~ c1_2(a26,X19)
| c4_2(a26,X19)
| c2_2(a26,X19) ) )
& ~ c5_1(a26)
& ndr1_0 )
| ( ! [X18] :
( ndr1_1(a24)
=> ( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18) ) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( ndr1_1(a24)
=> ( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17) ) )
& ndr1_0 )
| ! [X15] :
( ndr1_0
=> ( ! [X16] :
( ndr1_1(X15)
=> ( c4_2(X15,X16)
| c5_2(X15,X16) ) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) ) ) ) )
& ( c4_0
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( ~ c1_2(X13,X14)
| ~ c4_2(X13,X14)
| ~ c2_2(X13,X14) ) )
| ( c5_2(X13,a21)
& ~ c4_2(X13,a21)
& ~ c1_2(X13,a21)
& ndr1_1(X13) )
| ~ c5_1(X13) ) )
| ~ c3_0 )
& ( ( ! [X12] :
( ndr1_1(a19)
=> ( ~ c4_2(a19,X12)
| ~ c3_2(a19,X12) ) )
& ~ c4_2(a19,a20)
& c3_2(a19,a20)
& ndr1_1(a19)
& ~ c2_1(a19)
& ndr1_0 )
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| ~ c3_1(X11)
| ~ c4_1(X11) ) )
| ~ c4_0 )
& ( ! [X9] :
( ndr1_0
=> ( ! [X10] :
( ndr1_1(X9)
=> ( c1_2(X9,X10)
| c3_2(X9,X10)
| ~ c4_2(X9,X10) ) )
| c1_1(X9)
| ( c3_2(X9,a18)
& c2_2(X9,a18)
& ndr1_1(X9) ) ) )
| ~ c5_0
| ! [X8] :
( ndr1_0
=> ( ( ~ c4_2(X8,a17)
& c1_2(X8,a17)
& c5_2(X8,a17)
& ndr1_1(X8) )
| ~ c2_1(X8)
| ~ c5_1(X8) ) ) )
& ( ( ~ c5_1(a16)
& ~ c3_1(a16)
& ! [X7] :
( ndr1_1(a16)
=> ( ~ c3_2(a16,X7)
| ~ c1_2(a16,X7)
| ~ c4_2(a16,X7) ) )
& ndr1_0 )
| ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ! [X6] :
( ndr1_1(a14)
=> ( ~ c3_2(a14,X6)
| c5_2(a14,X6) ) )
& ndr1_0 )
| ! [X5] :
( ndr1_0
=> ( c5_1(X5)
| c2_1(X5) ) ) )
& ( ( ! [X4] :
( ndr1_1(a13)
=> ( c3_2(a13,X4)
| c4_2(a13,X4) ) )
& ! [X3] :
( ndr1_1(a13)
=> ( ~ c5_2(a13,X3)
| c3_2(a13,X3)
| c1_2(a13,X3) ) )
& ~ c4_1(a13)
& ndr1_0 )
| ( ~ c5_1(a12)
& c3_1(a12)
& c4_1(a12)
& ndr1_0 )
| c4_0 )
& ( ~ c4_0
| ( c1_1(a10)
& ~ c1_2(a10,a11)
& c2_2(a10,a11)
& c5_2(a10,a11)
& ndr1_1(a10)
& c5_1(a10)
& ndr1_0 )
| ( c1_2(a8,a9)
& c3_2(a8,a9)
& ~ c2_2(a8,a9)
& ndr1_1(a8)
& c1_1(a8)
& ~ c3_1(a8)
& ndr1_0 ) )
& ( c2_0
| ( c4_1(a7)
& ~ c3_1(a7)
& ~ c1_1(a7)
& ndr1_0 )
| ~ c1_0 )
& ( c5_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X2] :
( ndr1_0
=> ( ( ~ c5_2(X2,a6)
& c2_2(X2,a6)
& c3_2(X2,a6)
& ndr1_1(X2) )
| ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) )
| ~ c3_1(X2) ) )
| ( ! [X1] :
( ndr1_1(a4)
=> ( ~ c5_2(a4,X1)
| ~ c3_2(a4,X1)
| c4_2(a4,X1) ) )
& ! [Z] :
( ndr1_1(a4)
=> ( ~ c2_2(a4,Z)
| c3_2(a4,Z) ) )
& ! [Y] :
( ndr1_1(a4)
=> ( c3_2(a4,Y)
| ~ c5_2(a4,Y)
| ~ c4_2(a4,Y) ) )
& ndr1_0 )
| c4_0 )
& ( ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( ~ c4_2(W,X)
| ~ c3_2(W,X)
| ~ c5_2(W,X) ) )
| ~ c5_1(W)
| ~ c3_1(W) ) )
| c1_0
| ( ~ c3_1(a3)
& ~ c5_1(a3)
& ! [V] :
( ndr1_1(a3)
=> ( c3_2(a3,V)
| ~ c1_2(a3,V)
| ~ c5_2(a3,V) ) )
& ndr1_0 ) )
& ( c5_0
| ~ c3_0
| ! [U] :
( ndr1_0
=> ( ~ c1_1(U)
| ( ~ c5_2(U,a2)
& c3_2(U,a2)
& ndr1_1(U) )
| ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ( ! [X19] :
( ~ c1_2(a26,X19)
| c4_2(a26,X19)
| c2_2(a26,X19)
| ~ ndr1_1(a26) )
& ~ c5_1(a26)
& ndr1_0 )
| ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18)
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17)
| ~ ndr1_1(a24) )
& ndr1_0 )
| ! [X15] :
( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16)
| ~ ndr1_1(X15) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) )
| ~ ndr1_0 ) )
& ( c4_0
| ! [X13] :
( ! [X14] :
( ~ c1_2(X13,X14)
| ~ c4_2(X13,X14)
| ~ c2_2(X13,X14)
| ~ ndr1_1(X13) )
| ( c5_2(X13,a21)
& ~ c4_2(X13,a21)
& ~ c1_2(X13,a21)
& ndr1_1(X13) )
| ~ c5_1(X13)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ( ! [X12] :
( ~ c4_2(a19,X12)
| ~ c3_2(a19,X12)
| ~ ndr1_1(a19) )
& ~ c4_2(a19,a20)
& c3_2(a19,a20)
& ndr1_1(a19)
& ~ c2_1(a19)
& ndr1_0 )
| ! [X11] :
( ~ c2_1(X11)
| ~ c3_1(X11)
| ~ c4_1(X11)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ! [X9] :
( ! [X10] :
( c1_2(X9,X10)
| c3_2(X9,X10)
| ~ c4_2(X9,X10)
| ~ ndr1_1(X9) )
| c1_1(X9)
| ( c3_2(X9,a18)
& c2_2(X9,a18)
& ndr1_1(X9) )
| ~ ndr1_0 )
| ~ c5_0
| ! [X8] :
( ( ~ c4_2(X8,a17)
& c1_2(X8,a17)
& c5_2(X8,a17)
& ndr1_1(X8) )
| ~ c2_1(X8)
| ~ c5_1(X8)
| ~ ndr1_0 ) )
& ( ( ~ c5_1(a16)
& ~ c3_1(a16)
& ! [X7] :
( ~ c3_2(a16,X7)
| ~ c1_2(a16,X7)
| ~ c4_2(a16,X7)
| ~ ndr1_1(a16) )
& ndr1_0 )
| ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ! [X6] :
( ~ c3_2(a14,X6)
| c5_2(a14,X6)
| ~ ndr1_1(a14) )
& ndr1_0 )
| ! [X5] :
( c5_1(X5)
| c2_1(X5)
| ~ ndr1_0 ) )
& ( ( ! [X4] :
( c3_2(a13,X4)
| c4_2(a13,X4)
| ~ ndr1_1(a13) )
& ! [X3] :
( ~ c5_2(a13,X3)
| c3_2(a13,X3)
| c1_2(a13,X3)
| ~ ndr1_1(a13) )
& ~ c4_1(a13)
& ndr1_0 )
| ( ~ c5_1(a12)
& c3_1(a12)
& c4_1(a12)
& ndr1_0 )
| c4_0 )
& ( ~ c4_0
| ( c1_1(a10)
& ~ c1_2(a10,a11)
& c2_2(a10,a11)
& c5_2(a10,a11)
& ndr1_1(a10)
& c5_1(a10)
& ndr1_0 )
| ( c1_2(a8,a9)
& c3_2(a8,a9)
& ~ c2_2(a8,a9)
& ndr1_1(a8)
& c1_1(a8)
& ~ c3_1(a8)
& ndr1_0 ) )
& ( c2_0
| ( c4_1(a7)
& ~ c3_1(a7)
& ~ c1_1(a7)
& ndr1_0 )
| ~ c1_0 )
& ( c5_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X2] :
( ( ~ c5_2(X2,a6)
& c2_2(X2,a6)
& c3_2(X2,a6)
& ndr1_1(X2) )
| ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) )
| ~ c3_1(X2)
| ~ ndr1_0 )
| ( ! [X1] :
( ~ c5_2(a4,X1)
| ~ c3_2(a4,X1)
| c4_2(a4,X1)
| ~ ndr1_1(a4) )
& ! [Z] :
( ~ c2_2(a4,Z)
| c3_2(a4,Z)
| ~ ndr1_1(a4) )
& ! [Y] :
( c3_2(a4,Y)
| ~ c5_2(a4,Y)
| ~ c4_2(a4,Y)
| ~ ndr1_1(a4) )
& ndr1_0 )
| c4_0 )
& ( ! [W] :
( ! [X] :
( ~ c4_2(W,X)
| ~ c3_2(W,X)
| ~ c5_2(W,X)
| ~ ndr1_1(W) )
| ~ c5_1(W)
| ~ c3_1(W)
| ~ ndr1_0 )
| c1_0
| ( ~ c3_1(a3)
& ~ c5_1(a3)
& ! [V] :
( c3_2(a3,V)
| ~ c1_2(a3,V)
| ~ c5_2(a3,V)
| ~ ndr1_1(a3) )
& ndr1_0 ) )
& ( c5_0
| ~ c3_0
| ! [U] :
( ~ c1_1(U)
| ( ~ c5_2(U,a2)
& c3_2(U,a2)
& ndr1_1(U) )
| ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) )
| ~ ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [U] :
( sP0_prd(U)
<=> ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [X2] :
( sP1_prd(X2)
<=> ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( c1_2(a8,a9)
& c3_2(a8,a9)
& ~ c2_2(a8,a9)
& ndr1_1(a8)
& c1_1(a8)
& ~ c3_1(a8)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ~ c5_1(a12)
& c3_1(a12)
& c4_1(a12)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
( sP4_prd
<=> ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ! [X6] :
( ~ c3_2(a14,X6)
| c5_2(a14,X6)
| ~ ndr1_1(a14) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
! [X15] :
( sP5_prd(X15)
<=> ( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16)
| ~ ndr1_1(X15) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,definition,
( sP6_prd
<=> ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18)
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17)
| ~ ndr1_1(a24) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f11,plain,
( ( ( ! [X19] :
( ~ c1_2(a26,X19)
| c4_2(a26,X19)
| c2_2(a26,X19)
| ~ ndr1_1(a26) )
& ~ c5_1(a26)
& ndr1_0 )
| sP6_prd
| ! [X15] :
( sP5_prd(X15)
| ~ ndr1_0 ) )
& ( c4_0
| ! [X13] :
( ! [X14] :
( ~ c1_2(X13,X14)
| ~ c4_2(X13,X14)
| ~ c2_2(X13,X14)
| ~ ndr1_1(X13) )
| ( c5_2(X13,a21)
& ~ c4_2(X13,a21)
& ~ c1_2(X13,a21)
& ndr1_1(X13) )
| ~ c5_1(X13)
| ~ ndr1_0 )
| ~ c3_0 )
& ( ( ! [X12] :
( ~ c4_2(a19,X12)
| ~ c3_2(a19,X12)
| ~ ndr1_1(a19) )
& ~ c4_2(a19,a20)
& c3_2(a19,a20)
& ndr1_1(a19)
& ~ c2_1(a19)
& ndr1_0 )
| ! [X11] :
( ~ c2_1(X11)
| ~ c3_1(X11)
| ~ c4_1(X11)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ! [X9] :
( ! [X10] :
( c1_2(X9,X10)
| c3_2(X9,X10)
| ~ c4_2(X9,X10)
| ~ ndr1_1(X9) )
| c1_1(X9)
| ( c3_2(X9,a18)
& c2_2(X9,a18)
& ndr1_1(X9) )
| ~ ndr1_0 )
| ~ c5_0
| ! [X8] :
( ( ~ c4_2(X8,a17)
& c1_2(X8,a17)
& c5_2(X8,a17)
& ndr1_1(X8) )
| ~ c2_1(X8)
| ~ c5_1(X8)
| ~ ndr1_0 ) )
& ( ( ~ c5_1(a16)
& ~ c3_1(a16)
& ! [X7] :
( ~ c3_2(a16,X7)
| ~ c1_2(a16,X7)
| ~ c4_2(a16,X7)
| ~ ndr1_1(a16) )
& ndr1_0 )
| sP4_prd
| ! [X5] :
( c5_1(X5)
| c2_1(X5)
| ~ ndr1_0 ) )
& ( ( ! [X4] :
( c3_2(a13,X4)
| c4_2(a13,X4)
| ~ ndr1_1(a13) )
& ! [X3] :
( ~ c5_2(a13,X3)
| c3_2(a13,X3)
| c1_2(a13,X3)
| ~ ndr1_1(a13) )
& ~ c4_1(a13)
& ndr1_0 )
| sP3_prd
| c4_0 )
& ( ~ c4_0
| ( c1_1(a10)
& ~ c1_2(a10,a11)
& c2_2(a10,a11)
& c5_2(a10,a11)
& ndr1_1(a10)
& c5_1(a10)
& ndr1_0 )
| sP2_prd )
& ( c2_0
| ( c4_1(a7)
& ~ c3_1(a7)
& ~ c1_1(a7)
& ndr1_0 )
| ~ c1_0 )
& ( c5_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X2] :
( ( ~ c5_2(X2,a6)
& c2_2(X2,a6)
& c3_2(X2,a6)
& ndr1_1(X2) )
| sP1_prd(X2)
| ~ c3_1(X2)
| ~ ndr1_0 )
| ( ! [X1] :
( ~ c5_2(a4,X1)
| ~ c3_2(a4,X1)
| c4_2(a4,X1)
| ~ ndr1_1(a4) )
& ! [Z] :
( ~ c2_2(a4,Z)
| c3_2(a4,Z)
| ~ ndr1_1(a4) )
& ! [Y] :
( c3_2(a4,Y)
| ~ c5_2(a4,Y)
| ~ c4_2(a4,Y)
| ~ ndr1_1(a4) )
& ndr1_0 )
| c4_0 )
& ( ! [W] :
( ! [X] :
( ~ c4_2(W,X)
| ~ c3_2(W,X)
| ~ c5_2(W,X)
| ~ ndr1_1(W) )
| ~ c5_1(W)
| ~ c3_1(W)
| ~ ndr1_0 )
| c1_0
| ( ~ c3_1(a3)
& ~ c5_1(a3)
& ! [V] :
( c3_2(a3,V)
| ~ c1_2(a3,V)
| ~ c5_2(a3,V)
| ~ ndr1_1(a3) )
& ndr1_0 ) )
& ( c5_0
| ~ c3_0
| ! [U] :
( ~ c1_1(U)
| ( ~ c5_2(U,a2)
& c3_2(U,a2)
& ndr1_1(U) )
| sP0_prd(U)
| ~ ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f10,f9,f8,f7,f6,f5,f4]) ).
fof(f12,plain,
( ( ( ( ! [X19] :
( ~ c1_2(a26,X19)
| c4_2(a26,X19)
| c2_2(a26,X19) )
| ~ ndr1_1(a26) )
& ~ c5_1(a26)
& ndr1_0 )
| sP6_prd
| ! [X15] : sP5_prd(X15)
| ~ ndr1_0 )
& ( c4_0
| ! [X13] :
( ! [X14] :
( ~ c1_2(X13,X14)
| ~ c4_2(X13,X14)
| ~ c2_2(X13,X14) )
| ~ ndr1_1(X13)
| ( c5_2(X13,a21)
& ~ c4_2(X13,a21)
& ~ c1_2(X13,a21)
& ndr1_1(X13) )
| ~ c5_1(X13) )
| ~ ndr1_0
| ~ c3_0 )
& ( ( ( ! [X12] :
( ~ c4_2(a19,X12)
| ~ c3_2(a19,X12) )
| ~ ndr1_1(a19) )
& ~ c4_2(a19,a20)
& c3_2(a19,a20)
& ndr1_1(a19)
& ~ c2_1(a19)
& ndr1_0 )
| ! [X11] :
( ~ c2_1(X11)
| ~ c3_1(X11)
| ~ c4_1(X11) )
| ~ ndr1_0
| ~ c4_0 )
& ( ! [X9] :
( ! [X10] :
( c1_2(X9,X10)
| c3_2(X9,X10)
| ~ c4_2(X9,X10) )
| ~ ndr1_1(X9)
| c1_1(X9)
| ( c3_2(X9,a18)
& c2_2(X9,a18)
& ndr1_1(X9) ) )
| ~ ndr1_0
| ~ c5_0
| ! [X8] :
( ( ~ c4_2(X8,a17)
& c1_2(X8,a17)
& c5_2(X8,a17)
& ndr1_1(X8) )
| ~ c2_1(X8)
| ~ c5_1(X8) )
| ~ ndr1_0 )
& ( ( ~ c5_1(a16)
& ~ c3_1(a16)
& ( ! [X7] :
( ~ c3_2(a16,X7)
| ~ c1_2(a16,X7)
| ~ c4_2(a16,X7) )
| ~ ndr1_1(a16) )
& ndr1_0 )
| sP4_prd
| ! [X5] :
( c5_1(X5)
| c2_1(X5) )
| ~ ndr1_0 )
& ( ( ( ! [X4] :
( c3_2(a13,X4)
| c4_2(a13,X4) )
| ~ ndr1_1(a13) )
& ( ! [X3] :
( ~ c5_2(a13,X3)
| c3_2(a13,X3)
| c1_2(a13,X3) )
| ~ ndr1_1(a13) )
& ~ c4_1(a13)
& ndr1_0 )
| sP3_prd
| c4_0 )
& ( ~ c4_0
| ( c1_1(a10)
& ~ c1_2(a10,a11)
& c2_2(a10,a11)
& c5_2(a10,a11)
& ndr1_1(a10)
& c5_1(a10)
& ndr1_0 )
| sP2_prd )
& ( c2_0
| ( c4_1(a7)
& ~ c3_1(a7)
& ~ c1_1(a7)
& ndr1_0 )
| ~ c1_0 )
& ( c5_0
| ~ c1_0
| ~ c4_0 )
& ( ! [X2] :
( ( ~ c5_2(X2,a6)
& c2_2(X2,a6)
& c3_2(X2,a6)
& ndr1_1(X2) )
| sP1_prd(X2)
| ~ c3_1(X2) )
| ~ ndr1_0
| ( ( ! [X1] :
( ~ c5_2(a4,X1)
| ~ c3_2(a4,X1)
| c4_2(a4,X1) )
| ~ ndr1_1(a4) )
& ( ! [Z] :
( ~ c2_2(a4,Z)
| c3_2(a4,Z) )
| ~ ndr1_1(a4) )
& ( ! [Y] :
( c3_2(a4,Y)
| ~ c5_2(a4,Y)
| ~ c4_2(a4,Y) )
| ~ ndr1_1(a4) )
& ndr1_0 )
| c4_0 )
& ( ! [W] :
( ! [X] :
( ~ c4_2(W,X)
| ~ c3_2(W,X)
| ~ c5_2(W,X) )
| ~ ndr1_1(W)
| ~ c5_1(W)
| ~ c3_1(W) )
| ~ ndr1_0
| c1_0
| ( ~ c3_1(a3)
& ~ c5_1(a3)
& ( ! [V] :
( c3_2(a3,V)
| ~ c1_2(a3,V)
| ~ c5_2(a3,V) )
| ~ ndr1_1(a3) )
& ndr1_0 ) )
& ( c5_0
| ~ c3_0
| ! [U] :
( ~ c1_1(U)
| ( ~ c5_2(U,a2)
& c3_2(U,a2)
& ndr1_1(U) )
| sP0_prd(U) )
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0] :
( c5_0
| ~ c3_0
| ~ c1_1(X0)
| ndr1_1(X0)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0] :
( c5_0
| ~ c3_0
| ~ c1_1(X0)
| c3_2(X0,a2)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [X0] :
( c5_0
| ~ c3_0
| ~ c1_1(X0)
| ~ c5_2(X0,a2)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ c4_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c5_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c1_0
| c3_2(a3,X0)
| ~ c1_2(a3,X0)
| ~ c5_2(a3,X0)
| ~ ndr1_1(a3) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_0
| ~ c5_1(a3) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f19,plain,
! [X0,X1] :
( ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_0
| ~ c3_1(a3) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f24,plain,
! [X0,X1] :
( ndr1_1(X1)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,plain,
! [X0,X1] :
( c3_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f26,plain,
! [X0,X1] :
( c2_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0,X1] :
( ~ c5_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
! [X0,X1] :
( ndr1_1(X1)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_2(a4,X0)
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,plain,
! [X0,X1] :
( c3_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_2(a4,X0)
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
! [X0,X1] :
( c2_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_2(a4,X0)
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c5_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_2(a4,X0)
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( ndr1_1(X1)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( c3_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
! [X0,X1] :
( c2_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f35,plain,
! [X0,X1] :
( ~ c5_2(X1,a6)
| sP1_prd(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0)
| ~ ndr1_1(a4)
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f36,plain,
( c5_0
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f37,plain,
( c2_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f38,plain,
( c2_0
| ~ c1_1(a7)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f39,plain,
( c2_0
| ~ c3_1(a7)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
( c2_0
| c4_1(a7)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
( ~ c4_0
| ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f42,plain,
( ~ c4_0
| c5_1(a10)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
( ~ c4_0
| ndr1_1(a10)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f44,plain,
( ~ c4_0
| c5_2(a10,a11)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f45,plain,
( ~ c4_0
| c2_2(a10,a11)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
( ~ c4_0
| ~ c1_2(a10,a11)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
( ~ c4_0
| c1_1(a10)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f48,plain,
( ndr1_0
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f49,plain,
( ~ c4_1(a13)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f50,plain,
! [X0] :
( ~ c5_2(a13,X0)
| c3_2(a13,X0)
| c1_2(a13,X0)
| ~ ndr1_1(a13)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
! [X0] :
( c3_2(a13,X0)
| c4_2(a13,X0)
| ~ ndr1_1(a13)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f53,plain,
! [X0,X1] :
( ~ c3_2(a16,X1)
| ~ c1_2(a16,X1)
| ~ c4_2(a16,X1)
| ~ ndr1_1(a16)
| sP4_prd
| c5_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f54,plain,
! [X0] :
( ~ c3_1(a16)
| sP4_prd
| c5_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f55,plain,
! [X0] :
( ~ c5_1(a16)
| sP4_prd
| c5_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f56,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| ndr1_1(X1)
| ~ ndr1_0
| ~ c5_0
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c2_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f58,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c3_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f59,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| ndr1_1(X1)
| ~ ndr1_0
| ~ c5_0
| c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f60,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c2_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f61,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c3_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f62,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| ndr1_1(X1)
| ~ ndr1_0
| ~ c5_0
| c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f63,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c2_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f64,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c3_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f65,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| ndr1_1(X1)
| ~ ndr1_0
| ~ c5_0
| ~ c4_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f66,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c2_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| ~ c4_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
! [X0,X1,X2] :
( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c3_2(X1,a18)
| ~ ndr1_0
| ~ c5_0
| ~ c4_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f69,plain,
! [X0] :
( ~ c2_1(a19)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f70,plain,
! [X0] :
( ndr1_1(a19)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f71,plain,
! [X0] :
( c3_2(a19,a20)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f72,plain,
! [X0] :
( ~ c4_2(a19,a20)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f73,plain,
! [X0,X1] :
( ~ c4_2(a19,X1)
| ~ c3_2(a19,X1)
| ~ ndr1_1(a19)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f74,plain,
! [X0,X1] :
( c4_0
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f75,plain,
! [X0,X1] :
( c4_0
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f76,plain,
! [X0,X1] :
( c4_0
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f77,plain,
! [X0,X1] :
( c4_0
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f79,plain,
! [X0] :
( ~ c5_1(a26)
| sP6_prd
| sP5_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f80,plain,
! [X0,X1] :
( ~ c1_2(a26,X1)
| c4_2(a26,X1)
| c2_2(a26,X1)
| ~ ndr1_1(a26)
| sP6_prd
| sP5_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f81,plain,
! [U] :
( ( c1_2(U,a1)
| ~ c5_2(U,a1)
| c3_2(U,a1)
| ~ ndr1_1(U)
| sP0_prd(U) )
& ( ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) )
| ~ sP0_prd(U) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f82,plain,
( ! [U] :
( c1_2(U,a1)
| ~ c5_2(U,a1)
| c3_2(U,a1)
| ~ ndr1_1(U)
| sP0_prd(U) )
& ! [U] :
( ( ~ c1_2(U,a1)
& c5_2(U,a1)
& ~ c3_2(U,a1)
& ndr1_1(U) )
| ~ sP0_prd(U) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
! [X0] :
( ~ c3_2(X0,a1)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f85,plain,
! [X0] :
( c5_2(X0,a1)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f86,plain,
! [X0] :
( ~ c1_2(X0,a1)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f87,plain,
! [X0] :
( c1_2(X0,a1)
| ~ c5_2(X0,a1)
| c3_2(X0,a1)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f88,plain,
! [X2] :
( ( c1_2(X2,a5)
| ~ c4_2(X2,a5)
| c5_2(X2,a5)
| ~ ndr1_1(X2)
| sP1_prd(X2) )
& ( ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) )
| ~ sP1_prd(X2) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f89,plain,
( ! [X2] :
( c1_2(X2,a5)
| ~ c4_2(X2,a5)
| c5_2(X2,a5)
| ~ ndr1_1(X2)
| sP1_prd(X2) )
& ! [X2] :
( ( ~ c1_2(X2,a5)
& c4_2(X2,a5)
& ~ c5_2(X2,a5)
& ndr1_1(X2) )
| ~ sP1_prd(X2) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ c5_2(X0,a5)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,plain,
! [X0] :
( c4_2(X0,a5)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f93,plain,
! [X0] :
( ~ c1_2(X0,a5)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f94,plain,
! [X0] :
( c1_2(X0,a5)
| ~ c4_2(X0,a5)
| c5_2(X0,a5)
| ~ ndr1_1(X0)
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f95,plain,
( ( ~ c1_2(a8,a9)
| ~ c3_2(a8,a9)
| c2_2(a8,a9)
| ~ ndr1_1(a8)
| ~ c1_1(a8)
| c3_1(a8)
| ~ ndr1_0
| sP2_prd )
& ( ( c1_2(a8,a9)
& c3_2(a8,a9)
& ~ c2_2(a8,a9)
& ndr1_1(a8)
& c1_1(a8)
& ~ c3_1(a8)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f96,plain,
( ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
( ~ c3_1(a8)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f98,plain,
( c1_1(a8)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
( ndr1_1(a8)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
( ~ c2_2(a8,a9)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f101,plain,
( c3_2(a8,a9)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f102,plain,
( c1_2(a8,a9)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f103,plain,
( ~ c1_2(a8,a9)
| ~ c3_2(a8,a9)
| c2_2(a8,a9)
| ~ ndr1_1(a8)
| ~ c1_1(a8)
| c3_1(a8)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f104,plain,
( ( c5_1(a12)
| ~ c3_1(a12)
| ~ c4_1(a12)
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c5_1(a12)
& c3_1(a12)
& c4_1(a12)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f105,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
( c4_1(a12)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
( c3_1(a12)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f108,plain,
( ~ c5_1(a12)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f109,plain,
( c5_1(a12)
| ~ c3_1(a12)
| ~ c4_1(a12)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f110,plain,
( ( c2_2(a14,a15)
| ~ c1_2(a14,a15)
| c3_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c5_1(a14)
| ? [X6] :
( c3_2(a14,X6)
& ~ c5_2(a14,X6)
& ndr1_1(a14) )
| ~ ndr1_0
| sP4_prd )
& ( ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ! [X6] :
( ~ c3_2(a14,X6)
| c5_2(a14,X6)
| ~ ndr1_1(a14) )
& ndr1_0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f111,plain,
( ( c2_2(a14,a15)
| ~ c1_2(a14,a15)
| c3_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c5_1(a14)
| ( ? [X6] :
( c3_2(a14,X6)
& ~ c5_2(a14,X6) )
& ndr1_1(a14) )
| ~ ndr1_0
| sP4_prd )
& ( ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ( ! [X6] :
( ~ c3_2(a14,X6)
| c5_2(a14,X6) )
| ~ ndr1_1(a14) )
& ndr1_0 )
| ~ sP4_prd ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f112,plain,
( ( c2_2(a14,a15)
| ~ c1_2(a14,a15)
| c3_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c5_1(a14)
| ( c3_2(a14,sK0_skl)
& ~ c5_2(a14,sK0_skl)
& ndr1_1(a14) )
| ~ ndr1_0
| sP4_prd )
& ( ( ~ c2_2(a14,a15)
& c1_2(a14,a15)
& ~ c3_2(a14,a15)
& ndr1_1(a14)
& c5_1(a14)
& ( ! [X6] :
( ~ c3_2(a14,X6)
| c5_2(a14,X6) )
| ~ ndr1_1(a14) )
& ndr1_0 )
| ~ sP4_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X6,sK0_skl)],[f111]) ).
fof(f113,plain,
( ndr1_0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ c3_2(a14,X0)
| c5_2(a14,X0)
| ~ ndr1_1(a14)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f115,plain,
( c5_1(a14)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f116,plain,
( ndr1_1(a14)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f117,plain,
( ~ c3_2(a14,a15)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f118,plain,
( c1_2(a14,a15)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f119,plain,
( ~ c2_2(a14,a15)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f121,plain,
( c2_2(a14,a15)
| ~ c1_2(a14,a15)
| c3_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c5_1(a14)
| ~ c5_2(a14,sK0_skl)
| ~ ndr1_0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f122,plain,
( c2_2(a14,a15)
| ~ c1_2(a14,a15)
| c3_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c5_1(a14)
| c3_2(a14,sK0_skl)
| ~ ndr1_0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f123,definition,
! [X15] :
( sP7_prd(X15)
<=> ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f124,plain,
! [X15] :
( sP5_prd(X15)
<=> ( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16)
| ~ ndr1_1(X15) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| sP7_prd(X15) ) ),
inference(formula_renaming,[status(thm)],[f9,f123]) ).
fof(f125,plain,
! [X15] :
( ( ( ? [X16] :
( ~ c4_2(X15,X16)
& ~ c5_2(X15,X16)
& ndr1_1(X15) )
& ( c5_2(X15,a23)
| ~ c4_2(X15,a23)
| ~ c2_2(X15,a23)
| ~ ndr1_1(X15) )
& ~ sP7_prd(X15) )
| sP5_prd(X15) )
& ( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16)
| ~ ndr1_1(X15) )
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| sP7_prd(X15)
| ~ sP5_prd(X15) ) ),
inference(NNF_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
( ! [X15] :
( ( ? [X16] :
( ~ c4_2(X15,X16)
& ~ c5_2(X15,X16) )
& ndr1_1(X15)
& ( c5_2(X15,a23)
| ~ c4_2(X15,a23)
| ~ c2_2(X15,a23)
| ~ ndr1_1(X15) )
& ~ sP7_prd(X15) )
| sP5_prd(X15) )
& ! [X15] :
( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16) )
| ~ ndr1_1(X15)
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| sP7_prd(X15)
| ~ sP5_prd(X15) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f127,plain,
( ! [X15] :
( ( ~ c4_2(X15,sK1_skl(X15))
& ~ c5_2(X15,sK1_skl(X15))
& ndr1_1(X15)
& ( c5_2(X15,a23)
| ~ c4_2(X15,a23)
| ~ c2_2(X15,a23)
| ~ ndr1_1(X15) )
& ~ sP7_prd(X15) )
| sP5_prd(X15) )
& ! [X15] :
( ! [X16] :
( c4_2(X15,X16)
| c5_2(X15,X16) )
| ~ ndr1_1(X15)
| ( ~ c5_2(X15,a23)
& c4_2(X15,a23)
& c2_2(X15,a23)
& ndr1_1(X15) )
| sP7_prd(X15)
| ~ sP5_prd(X15) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X16,sK1_skl(X15))],[f126]) ).
fof(f129,plain,
! [X0,X1] :
( c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_2(X0,a23)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f130,plain,
! [X0,X1] :
( c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c4_2(X0,a23)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [X0,X1] :
( c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a23)
| sP7_prd(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f132,plain,
! [X0] :
( ~ sP7_prd(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f133,plain,
! [X0] :
( c5_2(X0,a23)
| ~ c4_2(X0,a23)
| ~ c2_2(X0,a23)
| ~ ndr1_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f134,plain,
! [X0] :
( ndr1_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f135,plain,
! [X0] :
( ~ c5_2(X0,sK1_skl(X0))
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f136,plain,
! [X0] :
( ~ c4_2(X0,sK1_skl(X0))
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f137,definition,
! [X17] :
( sP8_prd(X17)
<=> ( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f138,plain,
( sP6_prd
<=> ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18)
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( sP8_prd(X17)
| ~ ndr1_1(a24) )
& ndr1_0 ) ),
inference(formula_renaming,[status(thm)],[f10,f137]) ).
fof(f139,plain,
( ( ? [X18] :
( c3_2(a24,X18)
& ~ c1_2(a24,X18)
& c4_2(a24,X18)
& ndr1_1(a24) )
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ? [X17] :
( ~ sP8_prd(X17)
& ndr1_1(a24) )
| ~ ndr1_0
| sP6_prd )
& ( ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18)
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ! [X17] :
( sP8_prd(X17)
| ~ ndr1_1(a24) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
( ( ( ? [X18] :
( c3_2(a24,X18)
& ~ c1_2(a24,X18)
& c4_2(a24,X18) )
& ndr1_1(a24) )
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ( ? [X17] : ~ sP8_prd(X17)
& ndr1_1(a24) )
| ~ ndr1_0
| sP6_prd )
& ( ( ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18) )
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ( ! [X17] : sP8_prd(X17)
| ~ ndr1_1(a24) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(miniscoping,[status(thm)],[f139]) ).
fof(f141,plain,
( ( ( c3_2(a24,sK3_skl)
& ~ c1_2(a24,sK3_skl)
& c4_2(a24,sK3_skl)
& ndr1_1(a24) )
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ( ~ sP8_prd(sK2_skl)
& ndr1_1(a24) )
| ~ ndr1_0
| sP6_prd )
& ( ( ( ! [X18] :
( ~ c3_2(a24,X18)
| c1_2(a24,X18)
| ~ c4_2(a24,X18) )
| ~ ndr1_1(a24) )
& c3_2(a24,a25)
& c1_2(a24,a25)
& ndr1_1(a24)
& ( ! [X17] : sP8_prd(X17)
| ~ ndr1_1(a24) )
& ndr1_0 )
| ~ sP6_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X17,sK2_skl),skolemize(X18,sK3_skl)],[f140]) ).
fof(f142,plain,
( ndr1_0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [X0] :
( sP8_prd(X0)
| ~ ndr1_1(a24)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,plain,
( ndr1_1(a24)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f145,plain,
( c1_2(a24,a25)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f146,plain,
( c3_2(a24,a25)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f147,plain,
! [X0] :
( ~ c3_2(a24,X0)
| c1_2(a24,X0)
| ~ c4_2(a24,X0)
| ~ ndr1_1(a24)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f153,plain,
( c4_2(a24,sK3_skl)
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ~ sP8_prd(sK2_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f154,plain,
( ~ c1_2(a24,sK3_skl)
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ~ sP8_prd(sK2_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f155,plain,
( c3_2(a24,sK3_skl)
| ~ c3_2(a24,a25)
| ~ c1_2(a24,a25)
| ~ ndr1_1(a24)
| ~ sP8_prd(sK2_skl)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f156,plain,
! [X15] :
( ( ~ c2_2(X15,a22)
| ~ c5_2(X15,a22)
| ~ c4_2(X15,a22)
| ~ ndr1_1(X15)
| sP7_prd(X15) )
& ( ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) )
| ~ sP7_prd(X15) ) ),
inference(NNF_transformation,[status(thm)],[f123]) ).
fof(f157,plain,
( ! [X15] :
( ~ c2_2(X15,a22)
| ~ c5_2(X15,a22)
| ~ c4_2(X15,a22)
| ~ ndr1_1(X15)
| sP7_prd(X15) )
& ! [X15] :
( ( c2_2(X15,a22)
& c5_2(X15,a22)
& c4_2(X15,a22)
& ndr1_1(X15) )
| ~ sP7_prd(X15) ) ),
inference(miniscoping,[status(thm)],[f156]) ).
fof(f158,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
! [X0] :
( c4_2(X0,a22)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f160,plain,
! [X0] :
( c5_2(X0,a22)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f161,plain,
! [X0] :
( c2_2(X0,a22)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f162,plain,
! [X0] :
( ~ c2_2(X0,a22)
| ~ c5_2(X0,a22)
| ~ c4_2(X0,a22)
| ~ ndr1_1(X0)
| sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f163,plain,
! [X17] :
( ( ( ~ c4_2(a24,X17)
& c2_2(a24,X17)
& c1_2(a24,X17) )
| sP8_prd(X17) )
& ( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17)
| ~ sP8_prd(X17) ) ),
inference(NNF_transformation,[status(thm)],[f137]) ).
fof(f164,plain,
( ! [X17] :
( ( ~ c4_2(a24,X17)
& c2_2(a24,X17)
& c1_2(a24,X17) )
| sP8_prd(X17) )
& ! [X17] :
( c4_2(a24,X17)
| ~ c2_2(a24,X17)
| ~ c1_2(a24,X17)
| ~ sP8_prd(X17) ) ),
inference(miniscoping,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0] :
( c4_2(a24,X0)
| ~ c2_2(a24,X0)
| ~ c1_2(a24,X0)
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0] :
( c1_2(a24,X0)
| sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f167,plain,
! [X0] :
( c2_2(a24,X0)
| sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f168,plain,
! [X0] :
( ~ c4_2(a24,X0)
| sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f169,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
! [X0] :
( sQ1_spl
<=> ( ~ c1_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0] :
( ~ sQ1_spl
| ~ c1_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ2_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( sQ2_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ3_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ3_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ3_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f169,f172,f175,f178]) ).
fof(f182,definition,
! [X0] :
( sQ4_spl
<=> ( ~ c1_1(X0)
| c3_2(X0,a2)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f183,plain,
! [X0] :
( ~ sQ4_spl
| ~ c1_1(X0)
| c3_2(X0,a2)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f169,f182,f175,f178]) ).
fof(f186,definition,
! [X0] :
( sQ5_spl
<=> ( ~ c1_1(X0)
| ~ c5_2(X0,a2)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f187,plain,
! [X0] :
( ~ sQ5_spl
| ~ c1_1(X0)
| ~ c5_2(X0,a2)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f169,f186,f175,f178]) ).
fof(f190,definition,
( sQ6_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ6_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
! [X0,X1] :
( sQ7_spl
<=> ( ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f194,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f197,definition,
( sQ8_spl
<=> ndr1_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ8_spl
| ~ ndr1_1(a3) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
! [X0] :
( sQ9_spl
<=> ( c3_2(a3,X0)
| ~ c1_2(a3,X0)
| ~ c5_2(a3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f201,plain,
! [X0] :
( ~ sQ9_spl
| c3_2(a3,X0)
| ~ c1_2(a3,X0)
| ~ c5_2(a3,X0) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ6_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f17,f197,f200,f190,f169,f193]) ).
fof(f204,definition,
( sQ10_spl
<=> c5_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ10_spl
| ~ c5_1(a3) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f18,f204,f190,f169,f193]) ).
fof(f208,definition,
( sQ11_spl
<=> c3_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ11_spl
| ~ c3_1(a3) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ6_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f19,f208,f190,f169,f193]) ).
fof(f212,definition,
( sQ12_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ12_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ12_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
! [X0] :
( sQ13_spl
<=> ( ndr1_1(X0)
| sP1_prd(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f216,plain,
! [X0] :
( ~ sQ13_spl
| ndr1_1(X0)
| sP1_prd(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f219,definition,
! [X0] :
( sQ14_spl
<=> ( c3_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f220,plain,
! [X0] :
( ~ sQ14_spl
| c3_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f223,definition,
! [X0] :
( sQ15_spl
<=> ( c2_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f224,plain,
! [X0] :
( ~ sQ15_spl
| c2_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f227,definition,
! [X0] :
( sQ16_spl
<=> ( ~ c5_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f228,plain,
! [X0] :
( ~ sQ16_spl
| ~ c5_2(X0,a6)
| sP1_prd(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f231,definition,
( sQ17_spl
<=> ndr1_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( sQ17_spl
| ~ ndr1_1(a4) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
! [X0] :
( sQ18_spl
<=> ( c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0] :
( ~ sQ18_spl
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ13_spl
| ~ sQ0_spl
| sQ18_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f24,f212,f231,f234,f169,f215]) ).
fof(f238,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ18_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f25,f212,f231,f234,f169,f219]) ).
fof(f239,plain,
( sQ15_spl
| ~ sQ0_spl
| sQ18_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f26,f212,f231,f234,f169,f223]) ).
fof(f240,plain,
( sQ16_spl
| ~ sQ0_spl
| sQ18_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f27,f212,f231,f234,f169,f227]) ).
fof(f241,definition,
! [X0] :
( sQ19_spl
<=> ( ~ c2_2(a4,X0)
| c3_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ19_spl
| ~ c2_2(a4,X0)
| c3_2(a4,X0) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ13_spl
| ~ sQ0_spl
| sQ19_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f28,f212,f231,f241,f169,f215]) ).
fof(f245,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ19_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f29,f212,f231,f241,f169,f219]) ).
fof(f246,plain,
( sQ15_spl
| ~ sQ0_spl
| sQ19_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f30,f212,f231,f241,f169,f223]) ).
fof(f247,plain,
( sQ16_spl
| ~ sQ0_spl
| sQ19_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f31,f212,f231,f241,f169,f227]) ).
fof(f248,definition,
! [X0] :
( sQ20_spl
<=> ( ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0] :
( ~ sQ20_spl
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0)
| c4_2(a4,X0) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ13_spl
| ~ sQ0_spl
| sQ20_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f32,f212,f231,f248,f169,f215]) ).
fof(f252,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ20_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f212,f231,f248,f169,f219]) ).
fof(f253,plain,
( sQ15_spl
| ~ sQ0_spl
| sQ20_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f34,f212,f231,f248,f169,f223]) ).
fof(f254,plain,
( sQ16_spl
| ~ sQ0_spl
| sQ20_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f35,f212,f231,f248,f169,f227]) ).
fof(f255,plain,
( sQ3_spl
| ~ sQ6_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f36,f212,f190,f178]) ).
fof(f256,definition,
( sQ21_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ21_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ21_spl
| sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f37,f190,f169,f256]) ).
fof(f260,definition,
( sQ22_spl
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ22_spl
| ~ c1_1(a7) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ21_spl
| ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f38,f190,f260,f256]) ).
fof(f264,definition,
( sQ23_spl
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ23_spl
| ~ c3_1(a7) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ21_spl
| ~ sQ23_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f39,f190,f264,f256]) ).
fof(f268,definition,
( sQ24_spl
<=> c4_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ24_spl
| c4_1(a7) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ21_spl
| sQ24_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f40,f190,f268,f256]) ).
fof(f272,definition,
( sQ25_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ25_spl
| sP2_prd ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ25_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ12_spl
| sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f41,f272,f169,f212]) ).
fof(f276,definition,
( sQ26_spl
<=> c5_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ26_spl
| c5_1(a10) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ26_spl
| ~ c5_1(a10) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ12_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f42,f272,f276,f212]) ).
fof(f280,definition,
( sQ27_spl
<=> ndr1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ27_spl
| ndr1_1(a10) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ27_spl
| ~ ndr1_1(a10) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ12_spl
| sQ27_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f43,f272,f280,f212]) ).
fof(f284,definition,
( sQ28_spl
<=> c5_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ28_spl
| c5_2(a10,a11) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( ~ sQ12_spl
| sQ28_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f44,f272,f284,f212]) ).
fof(f288,definition,
( sQ29_spl
<=> c2_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ29_spl
| c2_2(a10,a11) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ29_spl
| ~ c2_2(a10,a11) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( ~ sQ12_spl
| sQ29_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f45,f272,f288,f212]) ).
fof(f292,definition,
( sQ30_spl
<=> c1_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ30_spl
| c1_2(a10,a11) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ30_spl
| ~ c1_2(a10,a11) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ12_spl
| ~ sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f46,f272,f292,f212]) ).
fof(f296,definition,
( sQ31_spl
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ31_spl
| c1_1(a10) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ12_spl
| sQ31_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f47,f272,f296,f212]) ).
fof(f300,definition,
( sQ32_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ32_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ32_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ0_spl
| sQ32_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f48,f212,f300,f169]) ).
fof(f304,definition,
( sQ33_spl
<=> c4_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ33_spl
| ~ c4_1(a13) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( ~ sQ33_spl
| sQ32_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f49,f212,f300,f304]) ).
fof(f308,definition,
( sQ34_spl
<=> ndr1_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ34_spl
| ndr1_1(a13) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ34_spl
| ~ ndr1_1(a13) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
! [X0] :
( sQ35_spl
<=> ( ~ c5_2(a13,X0)
| c3_2(a13,X0)
| c1_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f312,plain,
! [X0] :
( ~ sQ35_spl
| ~ c5_2(a13,X0)
| c3_2(a13,X0)
| c1_2(a13,X0) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ35_spl
| ~ sQ34_spl
| sQ32_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f50,f212,f300,f308,f311]) ).
fof(f315,definition,
! [X0] :
( sQ36_spl
<=> ( c3_2(a13,X0)
| c4_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0] :
( ~ sQ36_spl
| c3_2(a13,X0)
| c4_2(a13,X0) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ36_spl
| ~ sQ34_spl
| sQ32_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f51,f212,f300,f308,f315]) ).
fof(f319,definition,
! [X0] :
( sQ37_spl
<=> ( c5_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f320,plain,
! [X0] :
( ~ sQ37_spl
| c5_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ38_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ38_spl
| sP4_prd ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ38_spl
| ~ sP4_prd ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f326,definition,
( sQ39_spl
<=> ndr1_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( sQ39_spl
| ~ ndr1_1(a16) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
! [X1] :
( sQ40_spl
<=> ( ~ c3_2(a16,X1)
| ~ c1_2(a16,X1)
| ~ c4_2(a16,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f330,plain,
! [X0] :
( ~ sQ40_spl
| ~ c3_2(a16,X0)
| ~ c1_2(a16,X0)
| ~ c4_2(a16,X0) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ40_spl
| ~ sQ39_spl
| sQ38_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f169,f319,f322,f326,f329]) ).
fof(f333,definition,
( sQ41_spl
<=> c3_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ41_spl
| ~ c3_1(a16) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sQ41_spl
| sQ38_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f169,f319,f322,f333]) ).
fof(f337,definition,
( sQ42_spl
<=> c5_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ42_spl
| ~ c5_1(a16) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ sQ42_spl
| sQ38_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f169,f319,f322,f337]) ).
fof(f341,definition,
! [X0] :
( sQ43_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ43_spl
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
! [X1,X2] :
( sQ44_spl
<=> ( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( sQ44_spl
| ~ sQ3_spl
| sQ43_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f169,f341,f178,f344]) ).
fof(f348,definition,
! [X1,X2] :
( sQ45_spl
<=> ( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c2_2(X1,a18) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0,X1] :
( ~ sQ45_spl
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c1_1(X0)
| c2_2(X0,a18) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ45_spl
| ~ sQ3_spl
| sQ43_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f169,f341,f178,f348]) ).
fof(f352,definition,
! [X1,X2] :
( sQ46_spl
<=> ( c1_2(X1,X2)
| c3_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ndr1_1(X1)
| c1_1(X1)
| c3_2(X1,a18) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0,X1] :
( ~ sQ46_spl
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c1_1(X0)
| c3_2(X0,a18) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ46_spl
| ~ sQ3_spl
| sQ43_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f169,f341,f178,f352]) ).
fof(f356,definition,
! [X0] :
( sQ47_spl
<=> ( c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f357,plain,
! [X0] :
( ~ sQ47_spl
| c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ44_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f169,f356,f178,f344]) ).
fof(f360,plain,
( sQ45_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f169,f356,f178,f348]) ).
fof(f361,plain,
( sQ46_spl
| ~ sQ3_spl
| sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f61,f169,f356,f178,f352]) ).
fof(f362,definition,
! [X0] :
( sQ48_spl
<=> ( c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0] :
( ~ sQ48_spl
| c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ44_spl
| ~ sQ3_spl
| sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f169,f362,f178,f344]) ).
fof(f366,plain,
( sQ45_spl
| ~ sQ3_spl
| sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f169,f362,f178,f348]) ).
fof(f367,plain,
( sQ46_spl
| ~ sQ3_spl
| sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f169,f362,f178,f352]) ).
fof(f368,definition,
! [X0] :
( sQ49_spl
<=> ( ~ c4_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f369,plain,
! [X0] :
( ~ sQ49_spl
| ~ c4_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ44_spl
| ~ sQ3_spl
| sQ49_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f169,f368,f178,f344]) ).
fof(f372,plain,
( sQ45_spl
| ~ sQ3_spl
| sQ49_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f169,f368,f178,f348]) ).
fof(f373,plain,
( sQ46_spl
| ~ sQ3_spl
| sQ49_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f169,f368,f178,f352]) ).
fof(f374,definition,
! [X0] :
( sQ50_spl
<=> ( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f375,plain,
! [X0] :
( ~ sQ50_spl
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f378,definition,
( sQ51_spl
<=> c2_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ51_spl
| ~ c2_1(a19) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ51_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f69,f212,f169,f374,f378]) ).
fof(f382,definition,
( sQ52_spl
<=> ndr1_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ52_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f70,f212,f169,f374,f382]) ).
fof(f386,definition,
( sQ53_spl
<=> c3_2(a19,a20) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ53_spl
| c3_2(a19,a20) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ53_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f212,f169,f374,f386]) ).
fof(f390,definition,
( sQ54_spl
<=> c4_2(a19,a20) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ54_spl
| ~ c4_2(a19,a20) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( ~ sQ54_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f72,f212,f169,f374,f390]) ).
fof(f394,definition,
! [X1] :
( sQ55_spl
<=> ( ~ c4_2(a19,X1)
| ~ c3_2(a19,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f395,plain,
! [X0] :
( ~ sQ55_spl
| ~ c4_2(a19,X0)
| ~ c3_2(a19,X0) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( sQ55_spl
| ~ sQ52_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f73,f212,f169,f374,f382,f394]) ).
fof(f398,definition,
! [X0,X1] :
( sQ56_spl
<=> ( ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ12_spl
| sQ56_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f175,f169,f398,f212]) ).
fof(f402,definition,
! [X0,X1] :
( sQ57_spl
<=> ( ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a21)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f403,plain,
! [X0,X1] :
( ~ sQ57_spl
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a21)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ12_spl
| sQ57_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f75,f175,f169,f402,f212]) ).
fof(f406,definition,
! [X0,X1] :
( sQ58_spl
<=> ( ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,a21)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f407,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,a21)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( sQ12_spl
| sQ58_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f76,f175,f169,f406,f212]) ).
fof(f410,definition,
! [X0,X1] :
( sQ59_spl
<=> ( ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a21)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f411,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a21)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( sQ12_spl
| sQ59_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f77,f175,f169,f410,f212]) ).
fof(f414,definition,
! [X0] :
( sQ60_spl
<=> sP5_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f415,plain,
! [X0] :
( ~ sQ60_spl
| sP5_prd(X0) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ61_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ61_spl
| ~ sP6_prd ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f421,definition,
( sQ62_spl
<=> c5_1(a26) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ62_spl
| ~ c5_1(a26) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( ~ sQ62_spl
| sQ61_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f79,f169,f414,f417,f421]) ).
fof(f425,definition,
( sQ63_spl
<=> ndr1_1(a26) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ63_spl
| ~ ndr1_1(a26) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
! [X1] :
( sQ64_spl
<=> ( ~ c1_2(a26,X1)
| c4_2(a26,X1)
| c2_2(a26,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f429,plain,
! [X0] :
( ~ sQ64_spl
| ~ c1_2(a26,X0)
| c4_2(a26,X0)
| c2_2(a26,X0) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ64_spl
| ~ sQ63_spl
| sQ61_spl
| sQ60_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f80,f169,f414,f417,f425,f428]) ).
fof(f432,plain,
( sQ0_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f96,f272,f169]) ).
fof(f433,definition,
( sQ65_spl
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ65_spl
| c3_1(a8) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ65_spl
| ~ c3_1(a8) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( ~ sQ65_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f97,f272,f433]) ).
fof(f437,definition,
( sQ66_spl
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ66_spl
| c1_1(a8) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ66_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f98,f272,f437]) ).
fof(f441,definition,
( sQ67_spl
<=> ndr1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ67_spl
| ndr1_1(a8) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ67_spl
| ~ ndr1_1(a8) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ67_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f99,f272,f441]) ).
fof(f445,definition,
( sQ68_spl
<=> c2_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ68_spl
| c2_2(a8,a9) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ68_spl
| ~ c2_2(a8,a9) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( ~ sQ68_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f100,f272,f445]) ).
fof(f449,definition,
( sQ69_spl
<=> c3_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ69_spl
| c3_2(a8,a9) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( sQ69_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f101,f272,f449]) ).
fof(f453,definition,
( sQ70_spl
<=> c1_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ70_spl
| c1_2(a8,a9) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ70_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f102,f272,f453]) ).
fof(f457,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl
| sQ65_spl
| ~ sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f103,f272,f169,f433,f437,f441,f445,f449,f453]) ).
fof(f458,plain,
( sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f105,f300,f169]) ).
fof(f459,definition,
( sQ71_spl
<=> c4_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ71_spl
| c4_1(a12) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ71_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f106,f300,f459]) ).
fof(f463,definition,
( sQ72_spl
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ72_spl
| c3_1(a12) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ72_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f107,f300,f463]) ).
fof(f467,definition,
( sQ73_spl
<=> c5_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ73_spl
| c5_1(a12) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ73_spl
| ~ c5_1(a12) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ sQ73_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f108,f300,f467]) ).
fof(f471,plain,
( sQ73_spl
| ~ sQ72_spl
| ~ sQ71_spl
| ~ sQ0_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f109,f300,f169,f459,f463,f467]) ).
fof(f472,plain,
( sQ0_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f113,f322,f169]) ).
fof(f473,definition,
( sQ74_spl
<=> ndr1_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ74_spl
| ndr1_1(a14) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ74_spl
| ~ ndr1_1(a14) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
! [X0] :
( sQ75_spl
<=> ( ~ c3_2(a14,X0)
| c5_2(a14,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f477,plain,
! [X0] :
( ~ sQ75_spl
| ~ c3_2(a14,X0)
| c5_2(a14,X0) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ75_spl
| ~ sQ74_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f114,f322,f473,f476]) ).
fof(f480,definition,
( sQ76_spl
<=> c5_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ76_spl
| c5_1(a14) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ76_spl
| ~ c5_1(a14) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ76_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f115,f322,f480]) ).
fof(f484,plain,
( sQ74_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f116,f322,f473]) ).
fof(f485,definition,
( sQ77_spl
<=> c3_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ77_spl
| c3_2(a14,a15) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ77_spl
| ~ c3_2(a14,a15) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ sQ77_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f117,f322,f485]) ).
fof(f489,definition,
( sQ78_spl
<=> c1_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ78_spl
| c1_2(a14,a15) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ78_spl
| ~ c1_2(a14,a15) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( sQ78_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f118,f322,f489]) ).
fof(f493,definition,
( sQ79_spl
<=> c2_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ79_spl
| c2_2(a14,a15) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ79_spl
| ~ c2_2(a14,a15) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ79_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f119,f322,f493]) ).
fof(f498,definition,
( sQ80_spl
<=> c5_2(a14,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ80_spl
| c5_2(a14,sK0_skl) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ80_spl
| ~ c5_2(a14,sK0_skl) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( sQ79_spl
| ~ sQ78_spl
| sQ77_spl
| ~ sQ74_spl
| ~ sQ76_spl
| ~ sQ80_spl
| ~ sQ0_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f121,f322,f169,f498,f480,f473,f485,f489,f493]) ).
fof(f502,definition,
( sQ81_spl
<=> c3_2(a14,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ81_spl
| c3_2(a14,sK0_skl) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( sQ79_spl
| ~ sQ78_spl
| sQ77_spl
| ~ sQ74_spl
| ~ sQ76_spl
| sQ81_spl
| ~ sQ0_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f122,f322,f169,f502,f480,f473,f485,f489,f493]) ).
fof(f506,plain,
( sQ0_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f142,f417,f169]) ).
fof(f507,definition,
( sQ82_spl
<=> ndr1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ82_spl
| ndr1_1(a24) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
! [X0] :
( sQ83_spl
<=> sP8_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f511,plain,
! [X0] :
( ~ sQ83_spl
| sP8_prd(X0) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( sQ83_spl
| ~ sQ82_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f143,f417,f507,f510]) ).
fof(f514,plain,
( sQ82_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f144,f417,f507]) ).
fof(f515,definition,
( sQ84_spl
<=> c1_2(a24,a25) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ84_spl
| c1_2(a24,a25) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ84_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f145,f417,f515]) ).
fof(f519,definition,
( sQ85_spl
<=> c3_2(a24,a25) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ85_spl
| c3_2(a24,a25) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ85_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f146,f417,f519]) ).
fof(f523,definition,
! [X0] :
( sQ86_spl
<=> ( ~ c3_2(a24,X0)
| c1_2(a24,X0)
| ~ c4_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f524,plain,
! [X0] :
( ~ sQ86_spl
| ~ c3_2(a24,X0)
| c1_2(a24,X0)
| ~ c4_2(a24,X0) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( sQ86_spl
| ~ sQ82_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f147,f417,f507,f523]) ).
fof(f528,definition,
( sQ87_spl
<=> c4_2(a24,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ87_spl
| c4_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f532,definition,
( sQ88_spl
<=> c1_2(a24,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ88_spl
| ~ c1_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f536,definition,
( sQ89_spl
<=> c3_2(a24,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ89_spl
| c3_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f540,definition,
( sQ90_spl
<=> sP8_prd(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ90_spl
| sP8_prd(sK2_skl) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ90_spl
| ~ sP8_prd(sK2_skl) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f544,plain,
( sQ87_spl
| ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ82_spl
| ~ sQ90_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f153,f417,f169,f540,f507,f515,f519,f528]) ).
fof(f545,plain,
( ~ sQ88_spl
| ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ82_spl
| ~ sQ90_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f154,f417,f169,f540,f507,f515,f519,f532]) ).
fof(f546,plain,
( sQ89_spl
| ~ sQ85_spl
| ~ sQ84_spl
| ~ sQ82_spl
| ~ sQ90_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f155,f417,f169,f540,f507,f515,f519,f536]) ).
fof(f547,plain,
! [X0] :
( c5_2(X0,a23)
| ~ c4_2(X0,a23)
| ~ c2_2(X0,a23)
| sP5_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f133,f134]) ).
fof(f548,plain,
! [X0] :
( ~ sQ13_spl
| ndr1_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f90]) ).
fof(f549,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ13_spl
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c5_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f194,f548]) ).
fof(f550,plain,
! [X0,X1] :
( ~ sQ60_spl
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a23)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f131,f415]) ).
fof(f551,plain,
! [X0,X1] :
( ~ sQ60_spl
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c4_2(X0,a23)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f130,f415]) ).
fof(f552,plain,
! [X0,X1] :
( ~ sQ60_spl
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_2(X0,a23)
| sP7_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f129,f415]) ).
fof(f553,plain,
( sQ90_spl
| ~ sQ83_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f542,f511]) ).
fof(f554,plain,
! [X0] :
( ~ sQ83_spl
| c4_2(a24,X0)
| ~ c2_2(a24,X0)
| ~ c1_2(a24,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f165,f511]) ).
fof(f555,plain,
! [X0] :
( ~ sQ1_spl
| ~ c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f83]) ).
fof(f556,plain,
( sQ90_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f557,plain,
( ~ sQ36_spl
| c3_2(a13,a5)
| c1_2(a13,a5)
| c5_2(a13,a5)
| ~ ndr1_1(a13)
| sP1_prd(a13) ),
inference(resolution,[status(thm)],[f94,f316]) ).
fof(f558,definition,
( sQ91_spl
<=> sP1_prd(a13) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ91_spl
| sP1_prd(a13) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ91_spl
| ~ sP1_prd(a13) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ92_spl
<=> c5_2(a13,a5) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ92_spl
| c5_2(a13,a5) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ93_spl
<=> c1_2(a13,a5) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ93_spl
| c1_2(a13,a5) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ94_spl
<=> c3_2(a13,a5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ94_spl
| c3_2(a13,a5) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ36_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| ~ sQ34_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f557,f558,f308,f561,f564,f567,f315]) ).
fof(f571,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ45_spl
| c3_2(a13,X0)
| c1_2(a13,X0)
| c3_2(a13,X0)
| ~ ndr1_1(a13)
| c1_1(a13)
| c2_2(a13,a18) ),
inference(resolution,[status(thm)],[f349,f316]) ).
fof(f572,definition,
( sQ95_spl
<=> c2_2(a13,a18) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ95_spl
| c2_2(a13,a18) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ96_spl
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ96_spl
| c1_1(a13) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
! [X0] :
( sQ97_spl
<=> ( c3_2(a13,X0)
| c1_2(a13,X0)
| c3_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0] :
( ~ sQ97_spl
| c3_2(a13,X0)
| c1_2(a13,X0)
| c3_2(a13,X0) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( ~ sQ36_spl
| ~ sQ45_spl
| sQ97_spl
| ~ sQ34_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f571,f572,f575,f308,f578,f348,f315]) ).
fof(f582,plain,
! [X0] :
( ~ sQ97_spl
| c1_2(a13,X0)
| c3_2(a13,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f579]) ).
fof(f583,plain,
( ~ sQ97_spl
| ~ sP0_prd(a13)
| c3_2(a13,a1) ),
inference(resolution,[status(thm)],[f582,f86]) ).
fof(f584,definition,
( sQ98_spl
<=> c3_2(a13,a1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ98_spl
| c3_2(a13,a1) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ99_spl
<=> sP0_prd(a13) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ99_spl
| sP0_prd(a13) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ99_spl
| ~ sP0_prd(a13) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f583,f584,f587,f578]) ).
fof(f591,plain,
( ~ sQ97_spl
| c3_2(a13,a5)
| ~ sP1_prd(a13) ),
inference(resolution,[status(thm)],[f93,f582]) ).
fof(f592,plain,
( ~ sQ97_spl
| sQ94_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f591,f558,f567,f578]) ).
fof(f593,plain,
( ~ sQ37_spl
| sQ51_spl
| c5_1(a19) ),
inference(resolution,[status(thm)],[f380,f320]) ).
fof(f594,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ50_spl
| c5_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(resolution,[status(thm)],[f375,f320]) ).
fof(f598,plain,
( ~ sQ4_spl
| ~ sQ31_spl
| c3_2(a10,a2)
| sP0_prd(a10) ),
inference(resolution,[status(thm)],[f297,f183]) ).
fof(f599,definition,
( sQ100_spl
<=> sP0_prd(a10) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ100_spl
| sP0_prd(a10) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ100_spl
| ~ sP0_prd(a10) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ101_spl
<=> c3_2(a10,a2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ101_spl
| c3_2(a10,a2) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( ~ sQ4_spl
| ~ sQ31_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f598,f599,f602,f296,f182]) ).
fof(f606,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ27_spl
| c4_2(a10,X0)
| c5_2(a10,X0)
| c2_2(a10,a23)
| sP7_prd(a10) ),
inference(resolution,[status(thm)],[f281,f552]) ).
fof(f607,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ27_spl
| c4_2(a10,X0)
| c5_2(a10,X0)
| c4_2(a10,a23)
| sP7_prd(a10) ),
inference(resolution,[status(thm)],[f281,f551]) ).
fof(f608,definition,
( sQ102_spl
<=> sP7_prd(a10) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ102_spl
| sP7_prd(a10) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ103_spl
<=> c2_2(a10,a23) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ103_spl
| c2_2(a10,a23) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
! [X0] :
( sQ104_spl
<=> ( c4_2(a10,X0)
| c5_2(a10,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f615,plain,
! [X0] :
( ~ sQ104_spl
| c4_2(a10,X0)
| c5_2(a10,X0) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ60_spl
| ~ sQ27_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f606,f608,f611,f614,f280,f414]) ).
fof(f618,definition,
( sQ105_spl
<=> c4_2(a10,a23) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ105_spl
| c4_2(a10,a23) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( ~ sQ60_spl
| ~ sQ27_spl
| sQ104_spl
| sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f607,f608,f618,f614,f280,f414]) ).
fof(f622,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ c3_2(a24,sK3_skl)
| ~ c5_2(a24,sK3_skl)
| ~ c5_1(a24)
| ~ c3_1(a24) ),
inference(resolution,[status(thm)],[f529,f549]) ).
fof(f623,plain,
( ~ sQ46_spl
| ~ sQ87_spl
| c1_2(a24,sK3_skl)
| c3_2(a24,sK3_skl)
| ~ ndr1_1(a24)
| c1_1(a24)
| c3_2(a24,a18) ),
inference(resolution,[status(thm)],[f529,f353]) ).
fof(f624,plain,
( ~ sQ45_spl
| ~ sQ87_spl
| c1_2(a24,sK3_skl)
| c3_2(a24,sK3_skl)
| ~ ndr1_1(a24)
| c1_1(a24)
| c2_2(a24,a18) ),
inference(resolution,[status(thm)],[f529,f349]) ).
fof(f625,definition,
( sQ106_spl
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f627,plain,
( sQ106_spl
| ~ c3_1(a24) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ107_spl
<=> c5_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ107_spl
| c5_1(a24) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( sQ107_spl
| ~ c5_1(a24) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ108_spl
<=> c5_2(a24,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ108_spl
| c5_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ108_spl
| ~ c5_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ87_spl
| ~ sQ89_spl
| ~ sQ108_spl
| ~ sQ107_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f622,f625,f628,f631,f536,f528,f215,f193]) ).
fof(f635,definition,
( sQ109_spl
<=> c3_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ109_spl
| c3_2(a24,a18) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ110_spl
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ110_spl
| c1_1(a24) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( ~ sQ46_spl
| ~ sQ87_spl
| sQ88_spl
| sQ89_spl
| ~ sQ82_spl
| sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f623,f635,f638,f507,f536,f532,f528,f352]) ).
fof(f642,definition,
( sQ111_spl
<=> c2_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ111_spl
| c2_2(a24,a18) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f644,plain,
( sQ111_spl
| ~ c2_2(a24,a18) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( ~ sQ45_spl
| ~ sQ87_spl
| sQ88_spl
| sQ89_spl
| ~ sQ82_spl
| sQ110_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f624,f642,f638,f507,f536,f532,f528,f348]) ).
fof(f646,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| ~ c3_2(a24,sK3_skl)
| c1_2(a24,sK3_skl) ),
inference(resolution,[status(thm)],[f524,f529]) ).
fof(f647,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| ~ sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f646,f532,f536,f523,f528]) ).
fof(f648,plain,
( ~ sQ81_spl
| ~ sQ75_spl
| c5_2(a14,sK0_skl) ),
inference(resolution,[status(thm)],[f477,f503]) ).
fof(f649,plain,
( ~ sQ81_spl
| ~ sQ75_spl
| sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f500]) ).
fof(f650,plain,
( ~ sQ81_spl
| ~ sQ75_spl
| sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f649]) ).
fof(f651,plain,
( ~ sQ49_spl
| ~ sQ104_spl
| ~ c2_1(a10)
| ~ c5_1(a10)
| c5_2(a10,a17) ),
inference(resolution,[status(thm)],[f615,f369]) ).
fof(f652,plain,
( ~ sQ104_spl
| c1_2(a10,a5)
| c5_2(a10,a5)
| ~ ndr1_1(a10)
| sP1_prd(a10)
| c5_2(a10,a5) ),
inference(resolution,[status(thm)],[f615,f94]) ).
fof(f653,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ c3_2(a10,X0)
| ~ c5_2(a10,X0)
| ~ c5_1(a10)
| ~ c3_1(a10)
| c5_2(a10,X0) ),
inference(resolution,[status(thm)],[f615,f549]) ).
fof(f654,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ104_spl
| c1_2(a10,X0)
| c3_2(a10,X0)
| ~ ndr1_1(a10)
| c1_1(a10)
| c3_2(a10,a18)
| c5_2(a10,X0) ),
inference(resolution,[status(thm)],[f615,f353]) ).
fof(f655,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ104_spl
| c1_2(a10,X0)
| c3_2(a10,X0)
| ~ ndr1_1(a10)
| c1_1(a10)
| c2_2(a10,a18)
| c5_2(a10,X0) ),
inference(resolution,[status(thm)],[f615,f349]) ).
fof(f656,definition,
( sQ112_spl
<=> c5_2(a10,a17) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ112_spl
| c5_2(a10,a17) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ113_spl
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ113_spl
| c2_1(a10) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( sQ113_spl
| ~ c2_1(a10) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ49_spl
| ~ sQ104_spl
| ~ sQ113_spl
| ~ sQ26_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f651,f656,f276,f659,f614,f368]) ).
fof(f663,definition,
( sQ114_spl
<=> c5_2(a10,a5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ114_spl
| c5_2(a10,a5) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ115_spl
<=> sP1_prd(a10) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ115_spl
| sP1_prd(a10) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( sQ115_spl
| ~ sP1_prd(a10) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ116_spl
<=> c1_2(a10,a5) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ116_spl
| c1_2(a10,a5) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ sQ104_spl
| sQ116_spl
| ~ sQ27_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f652,f663,f666,f280,f669,f614]) ).
fof(f673,definition,
! [X0] :
( sQ117_spl
<=> ( ~ c3_2(a10,X0)
| ~ c5_2(a10,X0)
| c5_2(a10,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f676,definition,
( sQ118_spl
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( sQ118_spl
| ~ c3_1(a10) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ104_spl
| ~ sQ26_spl
| ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f653,f673,f676,f276,f614,f215,f193]) ).
fof(f680,definition,
! [X0] :
( sQ119_spl
<=> ( c1_2(a10,X0)
| c3_2(a10,X0)
| c5_2(a10,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f681,plain,
! [X0] :
( ~ sQ119_spl
| c1_2(a10,X0)
| c3_2(a10,X0)
| c5_2(a10,X0) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ120_spl
<=> c3_2(a10,a18) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ120_spl
| c3_2(a10,a18) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ46_spl
| ~ sQ104_spl
| ~ sQ27_spl
| sQ31_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f654,f680,f683,f296,f280,f614,f352]) ).
fof(f687,definition,
( sQ121_spl
<=> c2_2(a10,a18) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ121_spl
| c2_2(a10,a18) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( ~ sQ45_spl
| ~ sQ104_spl
| ~ sQ27_spl
| sQ31_spl
| sQ121_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f655,f680,f687,f296,f280,f614,f348]) ).
fof(f691,plain,
( ~ sQ119_spl
| ~ sP1_prd(a10)
| c3_2(a10,a5)
| c5_2(a10,a5) ),
inference(resolution,[status(thm)],[f681,f93]) ).
fof(f692,plain,
( ~ sQ119_spl
| ~ sP0_prd(a10)
| c3_2(a10,a1)
| c5_2(a10,a1) ),
inference(resolution,[status(thm)],[f681,f86]) ).
fof(f693,definition,
( sQ122_spl
<=> c3_2(a10,a5) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ122_spl
| c3_2(a10,a5) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ119_spl
| ~ sQ115_spl
| sQ122_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f691,f663,f693,f666,f680]) ).
fof(f697,definition,
( sQ123_spl
<=> c5_2(a10,a1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ123_spl
| c5_2(a10,a1) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ124_spl
<=> c3_2(a10,a1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ124_spl
| c3_2(a10,a1) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ119_spl
| ~ sQ100_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f692,f697,f700,f599,f680]) ).
fof(f704,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| ~ c1_2(a24,sK3_skl)
| ~ c2_2(a24,sK3_skl)
| ~ ndr1_1(a24)
| ~ c1_2(a24,a21)
| ~ c5_1(a24) ),
inference(resolution,[status(thm)],[f403,f529]) ).
fof(f705,definition,
( sQ125_spl
<=> c1_2(a24,a21) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ125_spl
| ~ c1_2(a24,a21) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ126_spl
<=> c2_2(a24,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ126_spl
| ~ c2_2(a24,sK3_skl) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| ~ sQ88_spl
| ~ sQ126_spl
| ~ sQ82_spl
| ~ sQ125_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f704,f628,f705,f507,f708,f532,f402,f528]) ).
fof(f712,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ82_spl
| c4_2(a24,X0)
| c5_2(a24,X0)
| c2_2(a24,a23)
| sP7_prd(a24) ),
inference(resolution,[status(thm)],[f508,f552]) ).
fof(f713,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ82_spl
| c4_2(a24,X0)
| c5_2(a24,X0)
| c4_2(a24,a23)
| sP7_prd(a24) ),
inference(resolution,[status(thm)],[f508,f551]) ).
fof(f714,definition,
( sQ127_spl
<=> sP7_prd(a24) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ127_spl
| sP7_prd(a24) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( sQ127_spl
| ~ sP7_prd(a24) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ128_spl
<=> c2_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ128_spl
| c2_2(a24,a23) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( sQ128_spl
| ~ c2_2(a24,a23) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
! [X0] :
( sQ129_spl
<=> ( c4_2(a24,X0)
| c5_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0] :
( ~ sQ129_spl
| c4_2(a24,X0)
| c5_2(a24,X0) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( ~ sQ60_spl
| ~ sQ82_spl
| sQ129_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f712,f714,f717,f720,f507,f414]) ).
fof(f724,definition,
( sQ130_spl
<=> c4_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ130_spl
| c4_2(a24,a23) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( sQ130_spl
| ~ c4_2(a24,a23) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( ~ sQ60_spl
| ~ sQ82_spl
| sQ129_spl
| sQ130_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f713,f714,f724,f720,f507,f414]) ).
fof(f728,plain,
( ~ sQ49_spl
| ~ sQ129_spl
| ~ c2_1(a24)
| ~ c5_1(a24)
| c5_2(a24,a17) ),
inference(resolution,[status(thm)],[f721,f369]) ).
fof(f729,plain,
( ~ sQ129_spl
| c1_2(a24,a5)
| c5_2(a24,a5)
| ~ ndr1_1(a24)
| sP1_prd(a24)
| c5_2(a24,a5) ),
inference(resolution,[status(thm)],[f721,f94]) ).
fof(f730,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ129_spl
| ~ c1_2(a24,X0)
| ~ c2_2(a24,X0)
| ~ ndr1_1(a24)
| ~ c1_2(a24,a21)
| ~ c5_1(a24)
| c5_2(a24,X0) ),
inference(resolution,[status(thm)],[f721,f403]) ).
fof(f731,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ129_spl
| ~ c3_2(a24,X0)
| ~ c5_2(a24,X0)
| ~ c5_1(a24)
| ~ c3_1(a24)
| c5_2(a24,X0) ),
inference(resolution,[status(thm)],[f721,f549]) ).
fof(f732,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ129_spl
| c1_2(a24,X0)
| c3_2(a24,X0)
| ~ ndr1_1(a24)
| c1_1(a24)
| c3_2(a24,a18)
| c5_2(a24,X0) ),
inference(resolution,[status(thm)],[f721,f353]) ).
fof(f733,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ129_spl
| c1_2(a24,X0)
| c3_2(a24,X0)
| ~ ndr1_1(a24)
| c1_1(a24)
| c2_2(a24,a18)
| c5_2(a24,X0) ),
inference(resolution,[status(thm)],[f721,f349]) ).
fof(f734,definition,
( sQ131_spl
<=> c5_2(a24,a17) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ131_spl
| c5_2(a24,a17) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ132_spl
<=> c2_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ132_spl
| c2_1(a24) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( sQ132_spl
| ~ c2_1(a24) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( ~ sQ49_spl
| ~ sQ129_spl
| ~ sQ132_spl
| ~ sQ107_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f728,f734,f628,f737,f720,f368]) ).
fof(f741,definition,
( sQ133_spl
<=> c5_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ133_spl
| c5_2(a24,a5) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ134_spl
<=> sP1_prd(a24) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ134_spl
| sP1_prd(a24) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( sQ134_spl
| ~ sP1_prd(a24) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ135_spl
<=> c1_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ135_spl
| c1_2(a24,a5) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( ~ sQ129_spl
| sQ135_spl
| ~ sQ82_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f729,f741,f744,f507,f747,f720]) ).
fof(f751,definition,
! [X0] :
( sQ136_spl
<=> ( ~ c1_2(a24,X0)
| ~ c2_2(a24,X0)
| c5_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f752,plain,
! [X0] :
( ~ sQ136_spl
| ~ c1_2(a24,X0)
| ~ c2_2(a24,X0)
| c5_2(a24,X0) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( ~ sQ57_spl
| ~ sQ129_spl
| ~ sQ82_spl
| ~ sQ125_spl
| ~ sQ107_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f730,f751,f628,f705,f507,f720,f402]) ).
fof(f755,definition,
! [X0] :
( sQ137_spl
<=> ( ~ c3_2(a24,X0)
| ~ c5_2(a24,X0)
| c5_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ129_spl
| ~ sQ107_spl
| ~ sQ106_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f731,f755,f625,f628,f720,f215,f193]) ).
fof(f759,definition,
! [X0] :
( sQ138_spl
<=> ( c1_2(a24,X0)
| c3_2(a24,X0)
| c5_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f760,plain,
! [X0] :
( ~ sQ138_spl
| c1_2(a24,X0)
| c3_2(a24,X0)
| c5_2(a24,X0) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( ~ sQ46_spl
| ~ sQ129_spl
| ~ sQ82_spl
| sQ110_spl
| sQ109_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f732,f759,f635,f638,f507,f720,f352]) ).
fof(f763,plain,
( ~ sQ45_spl
| ~ sQ129_spl
| ~ sQ82_spl
| sQ110_spl
| sQ111_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f733,f759,f642,f638,f507,f720,f348]) ).
fof(f764,plain,
( sQ88_spl
| ~ sQ138_spl
| c3_2(a24,sK3_skl)
| c5_2(a24,sK3_skl) ),
inference(resolution,[status(thm)],[f760,f534]) ).
fof(f765,plain,
( ~ sQ138_spl
| ~ sP1_prd(a24)
| c3_2(a24,a5)
| c5_2(a24,a5) ),
inference(resolution,[status(thm)],[f760,f93]) ).
fof(f766,plain,
( ~ sQ138_spl
| ~ sP0_prd(a24)
| c3_2(a24,a1)
| c5_2(a24,a1) ),
inference(resolution,[status(thm)],[f760,f86]) ).
fof(f767,plain,
( sQ88_spl
| ~ sQ138_spl
| sQ89_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f764,f631,f536,f759,f532]) ).
fof(f768,definition,
( sQ139_spl
<=> c3_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ139_spl
| c3_2(a24,a5) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ138_spl
| ~ sQ134_spl
| sQ139_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f765,f741,f768,f744,f759]) ).
fof(f772,definition,
( sQ140_spl
<=> c5_2(a24,a1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ140_spl
| c5_2(a24,a1) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ141_spl
<=> c3_2(a24,a1) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ141_spl
| c3_2(a24,a1) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( sQ141_spl
| ~ c3_2(a24,a1) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ142_spl
<=> sP0_prd(a24) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ142_spl
| sP0_prd(a24) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( sQ142_spl
| ~ sP0_prd(a24) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( ~ sQ138_spl
| ~ sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f766,f772,f775,f778,f759]) ).
fof(f782,plain,
( ~ sQ119_spl
| sQ30_spl
| c3_2(a10,a11)
| c5_2(a10,a11) ),
inference(resolution,[status(thm)],[f294,f681]) ).
fof(f783,definition,
( sQ143_spl
<=> c3_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ143_spl
| c3_2(a10,a11) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ sQ119_spl
| sQ30_spl
| sQ143_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f782,f284,f783,f292,f680]) ).
fof(f787,plain,
( ~ sQ58_spl
| ~ sQ29_spl
| ~ c1_2(a10,a11)
| ~ c4_2(a10,a11)
| ~ ndr1_1(a10)
| ~ c4_2(a10,a21)
| ~ c5_1(a10) ),
inference(resolution,[status(thm)],[f289,f407]) ).
fof(f788,plain,
( ~ sQ59_spl
| ~ sQ29_spl
| ~ c1_2(a10,a11)
| ~ c4_2(a10,a11)
| ~ ndr1_1(a10)
| c5_2(a10,a21)
| ~ c5_1(a10) ),
inference(resolution,[status(thm)],[f289,f411]) ).
fof(f789,definition,
( sQ144_spl
<=> c4_2(a10,a21) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ144_spl
| ~ c4_2(a10,a21) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ145_spl
<=> c4_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( sQ145_spl
| ~ c4_2(a10,a11) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ58_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ145_spl
| ~ sQ27_spl
| ~ sQ144_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f787,f276,f789,f280,f792,f292,f288,f406]) ).
fof(f796,definition,
( sQ146_spl
<=> c5_2(a10,a21) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ146_spl
| c5_2(a10,a21) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ59_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ145_spl
| ~ sQ27_spl
| sQ146_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f788,f276,f796,f280,f792,f292,f288,f410]) ).
fof(f800,plain,
( ~ sQ13_spl
| ~ sQ72_spl
| ndr1_1(a12) ),
inference(resolution,[status(thm)],[f464,f548]) ).
fof(f801,plain,
( ~ sQ14_spl
| ~ sQ72_spl
| c3_2(a12,a6)
| sP1_prd(a12) ),
inference(resolution,[status(thm)],[f464,f220]) ).
fof(f802,plain,
( ~ sQ15_spl
| ~ sQ72_spl
| c2_2(a12,a6)
| sP1_prd(a12) ),
inference(resolution,[status(thm)],[f464,f224]) ).
fof(f803,definition,
( sQ147_spl
<=> sP1_prd(a12) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ147_spl
| sP1_prd(a12) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f805,plain,
( sQ147_spl
| ~ sP1_prd(a12) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ148_spl
<=> c3_2(a12,a6) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ148_spl
| c3_2(a12,a6) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ sQ14_spl
| ~ sQ72_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f801,f803,f806,f463,f219]) ).
fof(f810,definition,
( sQ149_spl
<=> c2_2(a12,a6) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ149_spl
| c2_2(a12,a6) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ15_spl
| ~ sQ72_spl
| sQ149_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f802,f803,f810,f463,f223]) ).
fof(f814,plain,
( ~ sQ13_spl
| ~ sQ65_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f434,f548]) ).
fof(f815,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| c3_2(a8,a6)
| sP1_prd(a8) ),
inference(resolution,[status(thm)],[f434,f220]) ).
fof(f816,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| c2_2(a8,a6)
| sP1_prd(a8) ),
inference(resolution,[status(thm)],[f434,f224]) ).
fof(f817,definition,
( sQ150_spl
<=> sP1_prd(a8) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ150_spl
| sP1_prd(a8) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( sQ150_spl
| ~ sP1_prd(a8) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ151_spl
<=> c3_2(a8,a6) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ151_spl
| c3_2(a8,a6) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f815,f817,f820,f433,f219]) ).
fof(f824,definition,
( sQ152_spl
<=> c2_2(a8,a6) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ152_spl
| c2_2(a8,a6) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ152_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f816,f817,f824,f433,f223]) ).
fof(f828,plain,
( ~ sQ91_spl
| c4_2(a13,a5) ),
inference(resolution,[status(thm)],[f559,f92]) ).
fof(f829,plain,
( ~ sQ91_spl
| ndr1_1(a13) ),
inference(resolution,[status(thm)],[f559,f90]) ).
fof(f830,plain,
( ~ sQ91_spl
| sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f310]) ).
fof(f831,plain,
( ~ sQ91_spl
| sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( ~ sQ4_spl
| ~ sQ96_spl
| c3_2(a13,a2)
| sP0_prd(a13) ),
inference(resolution,[status(thm)],[f576,f183]) ).
fof(f833,definition,
( sQ153_spl
<=> c3_2(a13,a2) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ153_spl
| c3_2(a13,a2) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ4_spl
| ~ sQ96_spl
| sQ153_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f832,f587,f833,f575,f182]) ).
fof(f837,plain,
( ~ sQ100_spl
| c5_2(a10,a1) ),
inference(resolution,[status(thm)],[f600,f85]) ).
fof(f838,plain,
( ~ sQ100_spl
| ndr1_1(a10) ),
inference(resolution,[status(thm)],[f600,f83]) ).
fof(f839,plain,
( ~ sQ100_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f838,f280,f599]) ).
fof(f840,plain,
( ~ sQ102_spl
| c2_2(a10,a22) ),
inference(resolution,[status(thm)],[f609,f161]) ).
fof(f841,plain,
( ~ sQ102_spl
| c5_2(a10,a22) ),
inference(resolution,[status(thm)],[f609,f160]) ).
fof(f842,plain,
( ~ sQ102_spl
| c4_2(a10,a22) ),
inference(resolution,[status(thm)],[f609,f159]) ).
fof(f843,plain,
( ~ sQ102_spl
| ndr1_1(a10) ),
inference(resolution,[status(thm)],[f609,f158]) ).
fof(f844,plain,
( ~ sQ110_spl
| ~ sQ1_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f555,f639]) ).
fof(f845,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| ndr1_1(a13) ),
inference(resolution,[status(thm)],[f555,f576]) ).
fof(f846,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| ndr1_1(a10) ),
inference(resolution,[status(thm)],[f555,f297]) ).
fof(f847,plain,
( ~ sQ58_spl
| ~ sQ79_spl
| ~ c1_2(a14,a15)
| ~ c4_2(a14,a15)
| ~ ndr1_1(a14)
| ~ c4_2(a14,a21)
| ~ c5_1(a14) ),
inference(resolution,[status(thm)],[f494,f407]) ).
fof(f848,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| ~ c1_2(a14,a15)
| ~ c4_2(a14,a15)
| ~ ndr1_1(a14)
| c5_2(a14,a21)
| ~ c5_1(a14) ),
inference(resolution,[status(thm)],[f494,f411]) ).
fof(f849,definition,
( sQ154_spl
<=> c4_2(a14,a21) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( sQ154_spl
| ~ c4_2(a14,a21) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ155_spl
<=> c4_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ155_spl
| ~ c4_2(a14,a15) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,plain,
( ~ sQ58_spl
| ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ155_spl
| ~ sQ74_spl
| ~ sQ154_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f847,f480,f849,f473,f852,f489,f493,f406]) ).
fof(f856,definition,
( sQ156_spl
<=> c5_2(a14,a21) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ156_spl
| c5_2(a14,a21) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| ~ sQ78_spl
| ~ sQ155_spl
| ~ sQ74_spl
| sQ156_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f848,f480,f856,f473,f852,f489,f493,f410]) ).
fof(f860,plain,
( ~ sQ75_spl
| ~ sQ77_spl
| c5_2(a14,a15) ),
inference(resolution,[status(thm)],[f486,f477]) ).
fof(f861,plain,
( ~ sQ1_spl
| ~ sQ66_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f438,f555]) ).
fof(f862,plain,
( ~ sQ115_spl
| c4_2(a10,a5) ),
inference(resolution,[status(thm)],[f667,f92]) ).
fof(f863,plain,
( ~ sQ115_spl
| ndr1_1(a10) ),
inference(resolution,[status(thm)],[f667,f90]) ).
fof(f864,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ67_spl
| c4_2(a8,X0)
| c5_2(a8,X0)
| c2_2(a8,a23)
| sP7_prd(a8) ),
inference(resolution,[status(thm)],[f442,f552]) ).
fof(f865,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ67_spl
| c4_2(a8,X0)
| c5_2(a8,X0)
| c4_2(a8,a23)
| sP7_prd(a8) ),
inference(resolution,[status(thm)],[f442,f551]) ).
fof(f866,definition,
( sQ157_spl
<=> sP7_prd(a8) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ157_spl
| sP7_prd(a8) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ158_spl
<=> c2_2(a8,a23) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ158_spl
| c2_2(a8,a23) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
! [X0] :
( sQ159_spl
<=> ( c4_2(a8,X0)
| c5_2(a8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f873,plain,
! [X0] :
( ~ sQ159_spl
| c4_2(a8,X0)
| c5_2(a8,X0) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( ~ sQ60_spl
| ~ sQ67_spl
| sQ159_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f864,f866,f869,f872,f441,f414]) ).
fof(f876,definition,
( sQ160_spl
<=> c4_2(a8,a23) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ160_spl
| c4_2(a8,a23) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ60_spl
| ~ sQ67_spl
| sQ159_spl
| sQ160_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f865,f866,f876,f872,f441,f414]) ).
fof(f880,plain,
( ~ sQ37_spl
| sQ113_spl
| c5_1(a10) ),
inference(resolution,[status(thm)],[f661,f320]) ).
fof(f881,plain,
( ~ sQ37_spl
| sQ113_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f880,f276,f659,f319]) ).
fof(f882,plain,
( ~ sQ127_spl
| c2_2(a24,a22) ),
inference(resolution,[status(thm)],[f715,f161]) ).
fof(f883,plain,
( ~ sQ127_spl
| c5_2(a24,a22) ),
inference(resolution,[status(thm)],[f715,f160]) ).
fof(f884,plain,
( ~ sQ127_spl
| c4_2(a24,a22) ),
inference(resolution,[status(thm)],[f715,f159]) ).
fof(f885,plain,
( ~ sQ127_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f715,f158]) ).
fof(f886,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ34_spl
| c4_2(a13,X0)
| c5_2(a13,X0)
| c2_2(a13,a23)
| sP7_prd(a13) ),
inference(resolution,[status(thm)],[f309,f552]) ).
fof(f887,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ34_spl
| c4_2(a13,X0)
| c5_2(a13,X0)
| c4_2(a13,a23)
| sP7_prd(a13) ),
inference(resolution,[status(thm)],[f309,f551]) ).
fof(f888,definition,
( sQ161_spl
<=> sP7_prd(a13) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ161_spl
| sP7_prd(a13) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,definition,
( sQ162_spl
<=> c2_2(a13,a23) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( ~ sQ162_spl
| c2_2(a13,a23) ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,definition,
! [X0] :
( sQ163_spl
<=> ( c4_2(a13,X0)
| c5_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f895,plain,
! [X0] :
( ~ sQ163_spl
| c4_2(a13,X0)
| c5_2(a13,X0) ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( ~ sQ60_spl
| ~ sQ34_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f886,f888,f891,f894,f308,f414]) ).
fof(f898,definition,
( sQ164_spl
<=> c4_2(a13,a23) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ164_spl
| c4_2(a13,a23) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( ~ sQ60_spl
| ~ sQ34_spl
| sQ163_spl
| sQ164_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f887,f888,f898,f894,f308,f414]) ).
fof(f906,plain,
( ~ sQ134_spl
| c4_2(a24,a5) ),
inference(resolution,[status(thm)],[f745,f92]) ).
fof(f907,plain,
( ~ sQ134_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f745,f90]) ).
fof(f908,plain,
( ~ sQ37_spl
| sQ132_spl
| c5_1(a24) ),
inference(resolution,[status(thm)],[f739,f320]) ).
fof(f909,plain,
( ~ sQ37_spl
| sQ132_spl
| sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f630]) ).
fof(f910,plain,
( ~ sQ37_spl
| sQ132_spl
| sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f911,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ74_spl
| c4_2(a14,X0)
| c5_2(a14,X0)
| c2_2(a14,a23)
| sP7_prd(a14) ),
inference(resolution,[status(thm)],[f474,f552]) ).
fof(f912,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ74_spl
| c4_2(a14,X0)
| c5_2(a14,X0)
| c4_2(a14,a23)
| sP7_prd(a14) ),
inference(resolution,[status(thm)],[f474,f551]) ).
fof(f913,definition,
( sQ165_spl
<=> sP7_prd(a14) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ165_spl
| sP7_prd(a14) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ166_spl
<=> c2_2(a14,a23) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ166_spl
| c2_2(a14,a23) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
! [X0] :
( sQ167_spl
<=> ( c4_2(a14,X0)
| c5_2(a14,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f920,plain,
! [X0] :
( ~ sQ167_spl
| c4_2(a14,X0)
| c5_2(a14,X0) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f911,f913,f916,f919,f473,f414]) ).
fof(f923,definition,
( sQ168_spl
<=> c4_2(a14,a23) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ168_spl
| c4_2(a14,a23) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ60_spl
| ~ sQ74_spl
| sQ167_spl
| sQ168_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f912,f913,f923,f919,f473,f414]) ).
fof(f927,plain,
( ~ c5_2(a24,a22)
| ~ c4_2(a24,a22)
| ~ ndr1_1(a24)
| sP7_prd(a24)
| sP8_prd(a22) ),
inference(resolution,[status(thm)],[f167,f162]) ).
fof(f928,definition,
( sQ169_spl
<=> sP8_prd(a22) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ169_spl
| sP8_prd(a22) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ170_spl
<=> c4_2(a24,a22) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( sQ170_spl
| ~ c4_2(a24,a22) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ171_spl
<=> c5_2(a24,a22) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ171_spl
| c5_2(a24,a22) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( sQ171_spl
| ~ c5_2(a24,a22) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( ~ sQ171_spl
| ~ sQ170_spl
| ~ sQ82_spl
| sQ127_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f927,f928,f714,f507,f931,f934]) ).
fof(f938,plain,
( sQ171_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f883]) ).
fof(f939,plain,
( sQ171_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ88_spl
| sP8_prd(sK3_skl) ),
inference(resolution,[status(thm)],[f166,f534]) ).
fof(f941,plain,
( ~ sP1_prd(a24)
| sP8_prd(a5) ),
inference(resolution,[status(thm)],[f166,f93]) ).
fof(f942,plain,
( ~ sP0_prd(a24)
| sP8_prd(a1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f943,definition,
( sQ172_spl
<=> sP8_prd(a5) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ172_spl
| sP8_prd(a5) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( ~ sQ134_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f941,f943,f744]) ).
fof(f947,definition,
( sQ173_spl
<=> sP8_prd(a1) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( ~ sQ173_spl
| sP8_prd(a1) ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,plain,
( ~ sQ142_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f942,f947,f778]) ).
fof(f951,plain,
( ~ sQ49_spl
| ~ sQ159_spl
| ~ c2_1(a8)
| ~ c5_1(a8)
| c5_2(a8,a17) ),
inference(resolution,[status(thm)],[f873,f369]) ).
fof(f952,plain,
( ~ sQ159_spl
| c1_2(a8,a5)
| c5_2(a8,a5)
| ~ ndr1_1(a8)
| sP1_prd(a8)
| c5_2(a8,a5) ),
inference(resolution,[status(thm)],[f873,f94]) ).
fof(f953,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ159_spl
| ~ c3_2(a8,X0)
| ~ c5_2(a8,X0)
| ~ c5_1(a8)
| ~ c3_1(a8)
| c5_2(a8,X0) ),
inference(resolution,[status(thm)],[f873,f549]) ).
fof(f954,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ159_spl
| c1_2(a8,X0)
| c3_2(a8,X0)
| ~ ndr1_1(a8)
| c1_1(a8)
| c3_2(a8,a18)
| c5_2(a8,X0) ),
inference(resolution,[status(thm)],[f873,f353]) ).
fof(f955,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ159_spl
| c1_2(a8,X0)
| c3_2(a8,X0)
| ~ ndr1_1(a8)
| c1_1(a8)
| c2_2(a8,a18)
| c5_2(a8,X0) ),
inference(resolution,[status(thm)],[f873,f349]) ).
fof(f956,definition,
( sQ174_spl
<=> c5_2(a8,a17) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ174_spl
| c5_2(a8,a17) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,definition,
( sQ175_spl
<=> c5_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ175_spl
| c5_1(a8) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( sQ175_spl
| ~ c5_1(a8) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,definition,
( sQ176_spl
<=> c2_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ176_spl
| c2_1(a8) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( sQ176_spl
| ~ c2_1(a8) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( ~ sQ49_spl
| ~ sQ159_spl
| ~ sQ176_spl
| ~ sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f951,f956,f959,f962,f872,f368]) ).
fof(f966,definition,
( sQ177_spl
<=> c5_2(a8,a5) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ177_spl
| c5_2(a8,a5) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ178_spl
<=> c1_2(a8,a5) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ178_spl
| c1_2(a8,a5) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ sQ159_spl
| sQ178_spl
| ~ sQ67_spl
| sQ150_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f952,f966,f817,f441,f969,f872]) ).
fof(f973,definition,
! [X0] :
( sQ179_spl
<=> ( ~ c3_2(a8,X0)
| ~ c5_2(a8,X0)
| c5_2(a8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ159_spl
| ~ sQ175_spl
| ~ sQ65_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f953,f973,f433,f959,f872,f215,f193]) ).
fof(f977,definition,
! [X0] :
( sQ180_spl
<=> ( c1_2(a8,X0)
| c3_2(a8,X0)
| c5_2(a8,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f978,plain,
! [X0] :
( ~ sQ180_spl
| c1_2(a8,X0)
| c3_2(a8,X0)
| c5_2(a8,X0) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,definition,
( sQ181_spl
<=> c3_2(a8,a18) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ181_spl
| c3_2(a8,a18) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,plain,
( ~ sQ46_spl
| ~ sQ159_spl
| ~ sQ67_spl
| sQ66_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f954,f977,f980,f437,f441,f872,f352]) ).
fof(f984,definition,
( sQ182_spl
<=> c2_2(a8,a18) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ182_spl
| c2_2(a8,a18) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,plain,
( ~ sQ45_spl
| ~ sQ159_spl
| ~ sQ67_spl
| sQ66_spl
| sQ182_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f955,f977,f984,f437,f441,f872,f348]) ).
fof(f989,plain,
( ~ sQ49_spl
| ~ sQ163_spl
| ~ c2_1(a13)
| ~ c5_1(a13)
| c5_2(a13,a17) ),
inference(resolution,[status(thm)],[f895,f369]) ).
fof(f990,plain,
( ~ sQ163_spl
| c1_2(a13,a5)
| c5_2(a13,a5)
| ~ ndr1_1(a13)
| sP1_prd(a13)
| c5_2(a13,a5) ),
inference(resolution,[status(thm)],[f895,f94]) ).
fof(f991,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ163_spl
| c1_2(a13,X0)
| c3_2(a13,X0)
| ~ ndr1_1(a13)
| c1_1(a13)
| c3_2(a13,a18)
| c5_2(a13,X0) ),
inference(resolution,[status(thm)],[f895,f353]) ).
fof(f992,definition,
( sQ183_spl
<=> c5_2(a13,a17) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ183_spl
| c5_2(a13,a17) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ184_spl
<=> c5_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ184_spl
| c5_1(a13) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f997,plain,
( sQ184_spl
| ~ c5_1(a13) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ185_spl
<=> c2_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ185_spl
| c2_1(a13) ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1000,plain,
( sQ185_spl
| ~ c2_1(a13) ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,plain,
( ~ sQ49_spl
| ~ sQ163_spl
| ~ sQ185_spl
| ~ sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f989,f992,f995,f998,f894,f368]) ).
fof(f1002,plain,
( ~ sQ163_spl
| sQ93_spl
| ~ sQ34_spl
| sQ91_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f990,f561,f558,f308,f564,f894]) ).
fof(f1003,definition,
! [X0] :
( sQ186_spl
<=> ( c1_2(a13,X0)
| c3_2(a13,X0)
| c5_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ186_spl
| c1_2(a13,X0)
| c3_2(a13,X0)
| c5_2(a13,X0) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,definition,
( sQ187_spl
<=> c3_2(a13,a18) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ187_spl
| c3_2(a13,a18) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( ~ sQ46_spl
| ~ sQ163_spl
| ~ sQ34_spl
| sQ96_spl
| sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f991,f1003,f1006,f575,f308,f894,f352]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ186_spl
| ~ sQ35_spl
| c1_2(a13,X0)
| c3_2(a13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f312]) ).
fof(f1011,plain,
( ~ sQ167_spl
| c1_2(a14,a5)
| c5_2(a14,a5)
| ~ ndr1_1(a14)
| sP1_prd(a14)
| c5_2(a14,a5) ),
inference(resolution,[status(thm)],[f920,f94]) ).
fof(f1012,definition,
( sQ188_spl
<=> c5_2(a14,a5) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ188_spl
| c5_2(a14,a5) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ189_spl
<=> sP1_prd(a14) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ189_spl
| sP1_prd(a14) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
( sQ189_spl
| ~ sP1_prd(a14) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ190_spl
<=> c1_2(a14,a5) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ190_spl
| c1_2(a14,a5) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( ~ sQ167_spl
| sQ190_spl
| ~ sQ74_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1011,f1012,f1015,f473,f1018,f919]) ).
fof(f1024,plain,
( ~ sQ180_spl
| ~ sP1_prd(a8)
| c3_2(a8,a5)
| c5_2(a8,a5) ),
inference(resolution,[status(thm)],[f978,f93]) ).
fof(f1025,plain,
( ~ sQ180_spl
| ~ sP0_prd(a8)
| c3_2(a8,a1)
| c5_2(a8,a1) ),
inference(resolution,[status(thm)],[f978,f86]) ).
fof(f1026,definition,
( sQ191_spl
<=> c3_2(a8,a5) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ191_spl
| c3_2(a8,a5) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( ~ sQ180_spl
| ~ sQ150_spl
| sQ191_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1024,f966,f1026,f817,f977]) ).
fof(f1030,definition,
( sQ192_spl
<=> c5_2(a8,a1) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ192_spl
| c5_2(a8,a1) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ193_spl
<=> c3_2(a8,a1) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ193_spl
| c3_2(a8,a1) ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ194_spl
<=> sP0_prd(a8) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ194_spl
| sP0_prd(a8) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1038,plain,
( sQ194_spl
| ~ sP0_prd(a8) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( ~ sQ180_spl
| ~ sQ194_spl
| sQ193_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1025,f1030,f1033,f1036,f977]) ).
fof(f1040,plain,
( ~ sQ186_spl
| ~ sQ35_spl
| ~ sP1_prd(a13)
| c3_2(a13,a5) ),
inference(resolution,[status(thm)],[f1010,f93]) ).
fof(f1041,plain,
( ~ sQ186_spl
| ~ sQ35_spl
| ~ sP0_prd(a13)
| c3_2(a13,a1) ),
inference(resolution,[status(thm)],[f1010,f86]) ).
fof(f1042,plain,
( ~ sQ186_spl
| ~ sQ35_spl
| ~ sQ91_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1040,f567,f558,f311,f1003]) ).
fof(f1043,plain,
( ~ sQ186_spl
| ~ sQ35_spl
| ~ sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1041,f584,f587,f311,f1003]) ).
fof(f1044,plain,
( ~ sQ147_spl
| c4_2(a12,a5) ),
inference(resolution,[status(thm)],[f804,f92]) ).
fof(f1045,plain,
( ~ sQ147_spl
| ndr1_1(a12) ),
inference(resolution,[status(thm)],[f804,f90]) ).
fof(f1046,plain,
( ~ sQ150_spl
| c4_2(a8,a5) ),
inference(resolution,[status(thm)],[f818,f92]) ).
fof(f1047,plain,
( ~ sQ150_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f818,f90]) ).
fof(f1048,plain,
( ~ sQ157_spl
| c2_2(a8,a22) ),
inference(resolution,[status(thm)],[f867,f161]) ).
fof(f1049,plain,
( ~ sQ157_spl
| c5_2(a8,a22) ),
inference(resolution,[status(thm)],[f867,f160]) ).
fof(f1050,plain,
( ~ sQ157_spl
| c4_2(a8,a22) ),
inference(resolution,[status(thm)],[f867,f159]) ).
fof(f1051,plain,
( ~ sQ157_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f867,f158]) ).
fof(f1052,plain,
( ~ sQ43_spl
| ~ sQ113_spl
| ndr1_1(a10)
| ~ c5_1(a10) ),
inference(resolution,[status(thm)],[f660,f342]) ).
fof(f1053,plain,
( ~ sQ47_spl
| ~ sQ113_spl
| c5_2(a10,a17)
| ~ c5_1(a10) ),
inference(resolution,[status(thm)],[f660,f357]) ).
fof(f1054,plain,
( ~ sQ48_spl
| ~ sQ113_spl
| c1_2(a10,a17)
| ~ c5_1(a10) ),
inference(resolution,[status(thm)],[f660,f363]) ).
fof(f1055,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ c3_1(a10)
| ~ c4_1(a10) ),
inference(resolution,[status(thm)],[f660,f375]) ).
fof(f1056,plain,
( ~ sQ43_spl
| ~ sQ113_spl
| sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1052,f276,f280,f659,f341]) ).
fof(f1057,plain,
( ~ sQ47_spl
| ~ sQ113_spl
| sQ112_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1053,f276,f656,f659,f356]) ).
fof(f1058,definition,
( sQ195_spl
<=> c1_2(a10,a17) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( ~ sQ195_spl
| c1_2(a10,a17) ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( ~ sQ48_spl
| ~ sQ113_spl
| sQ195_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1054,f276,f1058,f659,f362]) ).
fof(f1062,definition,
( sQ196_spl
<=> c4_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( sQ196_spl
| ~ c4_1(a10) ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ118_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f1055,f1062,f676,f659,f374]) ).
fof(f1066,plain,
( ~ sQ161_spl
| c2_2(a13,a22) ),
inference(resolution,[status(thm)],[f889,f161]) ).
fof(f1067,plain,
( ~ sQ161_spl
| c5_2(a13,a22) ),
inference(resolution,[status(thm)],[f889,f160]) ).
fof(f1068,plain,
( ~ sQ161_spl
| c4_2(a13,a22) ),
inference(resolution,[status(thm)],[f889,f159]) ).
fof(f1069,plain,
( ~ sQ161_spl
| ndr1_1(a13) ),
inference(resolution,[status(thm)],[f889,f158]) ).
fof(f1074,plain,
( ~ sQ1_spl
| ~ sQ66_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f438,f555]) ).
fof(f1076,plain,
( ~ sQ81_spl
| ~ sQ75_spl
| c5_2(a14,sK0_skl) ),
inference(resolution,[status(thm)],[f477,f503]) ).
fof(f1077,plain,
( ~ sQ93_spl
| ~ sP1_prd(a13) ),
inference(resolution,[status(thm)],[f565,f93]) ).
fof(f1078,plain,
( ~ sQ43_spl
| ~ sQ132_spl
| ndr1_1(a24)
| ~ c5_1(a24) ),
inference(resolution,[status(thm)],[f738,f342]) ).
fof(f1079,plain,
( ~ sQ47_spl
| ~ sQ132_spl
| c5_2(a24,a17)
| ~ c5_1(a24) ),
inference(resolution,[status(thm)],[f738,f357]) ).
fof(f1080,plain,
( ~ sQ48_spl
| ~ sQ132_spl
| c1_2(a24,a17)
| ~ c5_1(a24) ),
inference(resolution,[status(thm)],[f738,f363]) ).
fof(f1081,plain,
( ~ sQ50_spl
| ~ sQ132_spl
| ~ c3_1(a24)
| ~ c4_1(a24) ),
inference(resolution,[status(thm)],[f738,f375]) ).
fof(f1082,plain,
( ~ sQ43_spl
| ~ sQ132_spl
| sQ82_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1078,f628,f507,f737,f341]) ).
fof(f1083,plain,
( ~ sQ47_spl
| ~ sQ132_spl
| sQ131_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1079,f628,f734,f737,f356]) ).
fof(f1084,definition,
( sQ197_spl
<=> c1_2(a24,a17) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ197_spl
| c1_2(a24,a17) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ48_spl
| ~ sQ132_spl
| sQ197_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1080,f628,f1084,f737,f362]) ).
fof(f1088,definition,
( sQ198_spl
<=> c4_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( sQ198_spl
| ~ c4_1(a24) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,plain,
( ~ sQ50_spl
| ~ sQ132_spl
| ~ sQ106_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f1081,f1088,f625,f737,f374]) ).
fof(f1092,plain,
( ~ sQ165_spl
| c2_2(a14,a22) ),
inference(resolution,[status(thm)],[f914,f161]) ).
fof(f1093,plain,
( ~ sQ165_spl
| c5_2(a14,a22) ),
inference(resolution,[status(thm)],[f914,f160]) ).
fof(f1094,plain,
( ~ sQ165_spl
| c4_2(a14,a22) ),
inference(resolution,[status(thm)],[f914,f159]) ).
fof(f1095,plain,
( ~ sQ165_spl
| ndr1_1(a14) ),
inference(resolution,[status(thm)],[f914,f158]) ).
fof(f1096,plain,
( ~ sQ37_spl
| sQ176_spl
| c5_1(a8) ),
inference(resolution,[status(thm)],[f964,f320]) ).
fof(f1097,plain,
( ~ sQ37_spl
| sQ176_spl
| sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f961]) ).
fof(f1098,plain,
( ~ sQ37_spl
| sQ176_spl
| sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ37_spl
| sQ185_spl
| c5_1(a13) ),
inference(resolution,[status(thm)],[f1000,f320]) ).
fof(f1100,plain,
( ~ sQ37_spl
| sQ185_spl
| sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f997]) ).
fof(f1101,plain,
( ~ sQ37_spl
| sQ185_spl
| sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( ~ sQ189_spl
| c4_2(a14,a5) ),
inference(resolution,[status(thm)],[f1016,f92]) ).
fof(f1103,plain,
( ~ sQ189_spl
| ndr1_1(a14) ),
inference(resolution,[status(thm)],[f1016,f90]) ).
fof(f1104,plain,
( ~ sQ92_spl
| ~ sP1_prd(a13) ),
inference(resolution,[status(thm)],[f562,f91]) ).
fof(f1105,plain,
( ~ sQ71_spl
| ~ sQ37_spl
| ~ sQ50_spl
| c5_1(a12)
| ~ c3_1(a12) ),
inference(resolution,[status(thm)],[f594,f460]) ).
fof(f1106,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| ~ sQ50_spl
| c5_1(a7)
| ~ c3_1(a7) ),
inference(resolution,[status(thm)],[f594,f269]) ).
fof(f1107,plain,
( ~ sQ71_spl
| ~ sQ37_spl
| ~ sQ50_spl
| sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f1105,f463,f467,f374,f319,f459]) ).
fof(f1108,definition,
( sQ199_spl
<=> c5_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ199_spl
| c5_1(a7) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| ~ sQ50_spl
| sQ199_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1106,f264,f1108,f374,f319,f268]) ).
fof(f1112,plain,
( ~ sQ83_spl
| ~ sQ111_spl
| c4_2(a24,a18)
| ~ c1_2(a24,a18) ),
inference(resolution,[status(thm)],[f643,f554]) ).
fof(f1113,definition,
( sQ200_spl
<=> c1_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ200_spl
| ~ c1_2(a24,a18) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ201_spl
<=> c4_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( ~ sQ201_spl
| c4_2(a24,a18) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,plain,
( ~ sQ83_spl
| ~ sQ111_spl
| sQ201_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f1112,f1113,f1116,f642,f510]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ147_spl
| c4_2(a12,X0)
| c5_2(a12,X0)
| c2_2(a12,a23)
| sP7_prd(a12) ),
inference(resolution,[status(thm)],[f1045,f552]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ147_spl
| c4_2(a12,X0)
| c5_2(a12,X0)
| c4_2(a12,a23)
| sP7_prd(a12) ),
inference(resolution,[status(thm)],[f1045,f551]) ).
fof(f1122,definition,
( sQ202_spl
<=> sP7_prd(a12) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ202_spl
| sP7_prd(a12) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( sQ202_spl
| ~ sP7_prd(a12) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,definition,
( sQ203_spl
<=> c2_2(a12,a23) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( ~ sQ203_spl
| c2_2(a12,a23) ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,definition,
! [X0] :
( sQ204_spl
<=> ( c4_2(a12,X0)
| c5_2(a12,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ204_spl
| c4_2(a12,X0)
| c5_2(a12,X0) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( ~ sQ60_spl
| ~ sQ147_spl
| sQ204_spl
| sQ203_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1120,f1122,f1125,f1128,f803,f414]) ).
fof(f1132,definition,
( sQ205_spl
<=> c4_2(a12,a23) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ205_spl
| c4_2(a12,a23) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( ~ sQ60_spl
| ~ sQ147_spl
| sQ204_spl
| sQ205_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1121,f1122,f1132,f1128,f803,f414]) ).
fof(f1136,plain,
( ~ sQ87_spl
| sP8_prd(sK3_skl) ),
inference(resolution,[status(thm)],[f168,f529]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ129_spl
| c5_2(a24,X0)
| sP8_prd(X0) ),
inference(resolution,[status(thm)],[f168,f721]) ).
fof(f1138,plain,
( ~ sQ111_spl
| c4_2(a24,a18)
| ~ c1_2(a24,a18)
| ~ sP8_prd(a18) ),
inference(resolution,[status(thm)],[f165,f643]) ).
fof(f1139,definition,
( sQ206_spl
<=> sP8_prd(a18) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ206_spl
| sP8_prd(a18) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ206_spl
| ~ sP8_prd(a18) ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( ~ sQ111_spl
| sQ201_spl
| ~ sQ200_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f1138,f1139,f1113,f1116,f642]) ).
fof(f1143,plain,
( ~ sQ43_spl
| ~ sQ176_spl
| ndr1_1(a8)
| ~ c5_1(a8) ),
inference(resolution,[status(thm)],[f963,f342]) ).
fof(f1144,plain,
( ~ sQ47_spl
| ~ sQ176_spl
| c5_2(a8,a17)
| ~ c5_1(a8) ),
inference(resolution,[status(thm)],[f963,f357]) ).
fof(f1145,plain,
( ~ sQ48_spl
| ~ sQ176_spl
| c1_2(a8,a17)
| ~ c5_1(a8) ),
inference(resolution,[status(thm)],[f963,f363]) ).
fof(f1146,plain,
( ~ sQ50_spl
| ~ sQ176_spl
| ~ c3_1(a8)
| ~ c4_1(a8) ),
inference(resolution,[status(thm)],[f963,f375]) ).
fof(f1147,plain,
( ~ sQ43_spl
| ~ sQ176_spl
| sQ67_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f1143,f959,f441,f962,f341]) ).
fof(f1148,plain,
( ~ sQ47_spl
| ~ sQ176_spl
| sQ174_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f1144,f959,f956,f962,f356]) ).
fof(f1149,definition,
( sQ207_spl
<=> c1_2(a8,a17) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1150,plain,
( ~ sQ207_spl
| c1_2(a8,a17) ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( ~ sQ48_spl
| ~ sQ176_spl
| sQ207_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f1145,f959,f1149,f962,f362]) ).
fof(f1153,definition,
( sQ208_spl
<=> c4_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( sQ208_spl
| ~ c4_1(a8) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sQ50_spl
| ~ sQ176_spl
| ~ sQ65_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f1146,f1153,f433,f962,f374]) ).
fof(f1157,plain,
( sQ125_spl
| sP8_prd(a21) ),
inference(resolution,[status(thm)],[f166,f707]) ).
fof(f1163,plain,
( sQ126_spl
| sP8_prd(sK3_skl) ),
inference(resolution,[status(thm)],[f167,f710]) ).
fof(f1167,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ c1_1(a24)
| sP0_prd(a24)
| sP8_prd(a2) ),
inference(resolution,[status(thm)],[f1137,f187]) ).
fof(f1168,plain,
( ~ sQ16_spl
| ~ sQ129_spl
| sP1_prd(a24)
| ~ c3_1(a24)
| sP8_prd(a6) ),
inference(resolution,[status(thm)],[f1137,f228]) ).
fof(f1170,plain,
( ~ sQ129_spl
| c1_2(a24,a1)
| c3_2(a24,a1)
| ~ ndr1_1(a24)
| sP0_prd(a24)
| sP8_prd(a1) ),
inference(resolution,[status(thm)],[f1137,f87]) ).
fof(f1172,definition,
( sQ209_spl
<=> sP8_prd(a2) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( ~ sQ209_spl
| sP8_prd(a2) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( ~ sQ5_spl
| ~ sQ129_spl
| ~ sQ110_spl
| sQ142_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1167,f1172,f778,f638,f720,f186]) ).
fof(f1176,definition,
( sQ210_spl
<=> sP8_prd(a6) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( ~ sQ210_spl
| sP8_prd(a6) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sQ16_spl
| ~ sQ129_spl
| sQ134_spl
| ~ sQ106_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1168,f1176,f625,f744,f720,f227]) ).
fof(f1180,definition,
( sQ211_spl
<=> sP8_prd(a23) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ211_spl
| sP8_prd(a23) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( sQ211_spl
| ~ sP8_prd(a23) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1184,definition,
( sQ212_spl
<=> c1_2(a24,a1) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ212_spl
| c1_2(a24,a1) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ129_spl
| sQ212_spl
| sQ141_spl
| ~ sQ82_spl
| sQ142_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1170,f947,f778,f507,f775,f1184,f720]) ).
fof(f1189,plain,
( ~ sQ204_spl
| c1_2(a12,a5)
| c5_2(a12,a5)
| ~ ndr1_1(a12)
| sP1_prd(a12)
| c5_2(a12,a5) ),
inference(resolution,[status(thm)],[f1129,f94]) ).
fof(f1190,definition,
( sQ213_spl
<=> c5_2(a12,a5) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ213_spl
| c5_2(a12,a5) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,definition,
( sQ214_spl
<=> ndr1_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ214_spl
| ndr1_1(a12) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sQ214_spl
| ~ ndr1_1(a12) ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,definition,
( sQ215_spl
<=> c1_2(a12,a5) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ215_spl
| c1_2(a12,a5) ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( ~ sQ204_spl
| sQ215_spl
| ~ sQ214_spl
| sQ147_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1189,f1190,f803,f1193,f1196,f1128]) ).
fof(f1200,plain,
( sQ214_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f1045]) ).
fof(f1201,plain,
( sQ214_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( ~ sQ130_spl
| sP8_prd(a23) ),
inference(resolution,[status(thm)],[f725,f168]) ).
fof(f1203,plain,
( ~ sQ128_spl
| c4_2(a24,a23)
| ~ c1_2(a24,a23)
| ~ sP8_prd(a23) ),
inference(resolution,[status(thm)],[f718,f165]) ).
fof(f1204,definition,
( sQ216_spl
<=> c1_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( sQ216_spl
| ~ c1_2(a24,a23) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( ~ sQ128_spl
| sQ130_spl
| ~ sQ216_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f1203,f1180,f1204,f724,f717]) ).
fof(f1208,plain,
( sQ211_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1182,f1202]) ).
fof(f1209,plain,
( sQ211_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( ~ sQ43_spl
| ~ sQ185_spl
| ndr1_1(a13)
| ~ c5_1(a13) ),
inference(resolution,[status(thm)],[f999,f342]) ).
fof(f1211,plain,
( ~ sQ47_spl
| ~ sQ185_spl
| c5_2(a13,a17)
| ~ c5_1(a13) ),
inference(resolution,[status(thm)],[f999,f357]) ).
fof(f1212,plain,
( ~ sQ48_spl
| ~ sQ185_spl
| c1_2(a13,a17)
| ~ c5_1(a13) ),
inference(resolution,[status(thm)],[f999,f363]) ).
fof(f1213,plain,
( ~ sQ50_spl
| ~ sQ185_spl
| ~ c3_1(a13)
| ~ c4_1(a13) ),
inference(resolution,[status(thm)],[f999,f375]) ).
fof(f1214,plain,
( ~ sQ43_spl
| ~ sQ185_spl
| sQ34_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1210,f995,f308,f998,f341]) ).
fof(f1215,plain,
( ~ sQ47_spl
| ~ sQ185_spl
| sQ183_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1211,f995,f992,f998,f356]) ).
fof(f1216,definition,
( sQ217_spl
<=> c1_2(a13,a17) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ217_spl
| c1_2(a13,a17) ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( ~ sQ48_spl
| ~ sQ185_spl
| sQ217_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1212,f995,f1216,f998,f362]) ).
fof(f1220,definition,
( sQ218_spl
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( sQ218_spl
| ~ c3_1(a13) ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1223,plain,
( ~ sQ50_spl
| ~ sQ185_spl
| ~ sQ218_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1213,f304,f1220,f998,f374]) ).
fof(f1224,plain,
( ~ sQ167_spl
| sQ155_spl
| c5_2(a14,a15) ),
inference(resolution,[status(thm)],[f854,f920]) ).
fof(f1225,plain,
( ~ sQ202_spl
| c2_2(a12,a22) ),
inference(resolution,[status(thm)],[f1123,f161]) ).
fof(f1226,plain,
( ~ sQ202_spl
| c5_2(a12,a22) ),
inference(resolution,[status(thm)],[f1123,f160]) ).
fof(f1227,plain,
( ~ sQ202_spl
| c4_2(a12,a22) ),
inference(resolution,[status(thm)],[f1123,f159]) ).
fof(f1228,plain,
( ~ sQ202_spl
| ndr1_1(a12) ),
inference(resolution,[status(thm)],[f1123,f158]) ).
fof(f1229,plain,
( ~ sQ142_spl
| c5_2(a24,a1) ),
inference(resolution,[status(thm)],[f779,f85]) ).
fof(f1230,plain,
( ~ sQ142_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f779,f83]) ).
fof(f1232,plain,
( ~ sQ134_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f745,f90]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ214_spl
| c4_2(a12,X0)
| c5_2(a12,X0)
| c2_2(a12,a23)
| sP7_prd(a12) ),
inference(resolution,[status(thm)],[f1194,f552]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ214_spl
| c4_2(a12,X0)
| c5_2(a12,X0)
| c4_2(a12,a23)
| sP7_prd(a12) ),
inference(resolution,[status(thm)],[f1194,f551]) ).
fof(f1235,plain,
( ~ sQ60_spl
| ~ sQ214_spl
| sQ204_spl
| sQ203_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1233,f1122,f1125,f1128,f1193,f414]) ).
fof(f1236,plain,
( ~ sQ60_spl
| ~ sQ214_spl
| sQ204_spl
| sQ205_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1234,f1122,f1132,f1128,f1193,f414]) ).
fof(f1237,plain,
( ~ sQ167_spl
| sQ154_spl
| c5_2(a14,a21) ),
inference(resolution,[status(thm)],[f851,f920]) ).
fof(f1238,plain,
( ~ sQ129_spl
| sQ170_spl
| c5_2(a24,a22) ),
inference(resolution,[status(thm)],[f933,f721]) ).
fof(f1239,plain,
( ~ sQ129_spl
| sQ130_spl
| c5_2(a24,a23) ),
inference(resolution,[status(thm)],[f726,f721]) ).
fof(f1241,plain,
( ~ sQ147_spl
| ndr1_1(a12) ),
inference(resolution,[status(thm)],[f804,f90]) ).
fof(f1242,plain,
( ~ sQ98_spl
| ~ sP0_prd(a13) ),
inference(resolution,[status(thm)],[f585,f84]) ).
fof(f1243,plain,
( ~ sQ116_spl
| ~ sP1_prd(a10) ),
inference(resolution,[status(thm)],[f670,f93]) ).
fof(f1244,plain,
( ~ sQ116_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1243,f667]) ).
fof(f1245,plain,
( ~ sQ116_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1246,plain,
( ~ sQ114_spl
| ~ sP1_prd(a10) ),
inference(resolution,[status(thm)],[f664,f91]) ).
fof(f1247,plain,
( ~ sQ128_spl
| ~ sQ136_spl
| ~ c1_2(a24,a23)
| c5_2(a24,a23) ),
inference(resolution,[status(thm)],[f752,f718]) ).
fof(f1248,plain,
( ~ sQ111_spl
| ~ sQ136_spl
| ~ c1_2(a24,a18)
| c5_2(a24,a18) ),
inference(resolution,[status(thm)],[f752,f643]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ136_spl
| sP8_prd(X0)
| ~ c1_2(a24,X0)
| c5_2(a24,X0) ),
inference(resolution,[status(thm)],[f752,f167]) ).
fof(f1250,definition,
( sQ219_spl
<=> c5_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( ~ sQ219_spl
| c5_2(a24,a23) ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,plain,
( ~ sQ128_spl
| ~ sQ136_spl
| ~ sQ216_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1247,f1250,f1204,f751,f717]) ).
fof(f1254,definition,
( sQ220_spl
<=> c5_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ220_spl
| c5_2(a24,a18) ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ sQ111_spl
| ~ sQ136_spl
| ~ sQ200_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1248,f1254,f1113,f751,f642]) ).
fof(f1258,plain,
( sQ111_spl
| sP8_prd(a18) ),
inference(resolution,[status(thm)],[f644,f167]) ).
fof(f1259,plain,
( sQ111_spl
| sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f1141]) ).
fof(f1260,plain,
( sQ111_spl
| sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( ~ sQ124_spl
| ~ sP0_prd(a10) ),
inference(resolution,[status(thm)],[f701,f84]) ).
fof(f1262,plain,
( ~ sQ123_spl
| c1_2(a10,a1)
| c3_2(a10,a1)
| ~ ndr1_1(a10)
| sP0_prd(a10) ),
inference(resolution,[status(thm)],[f698,f87]) ).
fof(f1263,definition,
( sQ221_spl
<=> c1_2(a10,a1) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( ~ sQ221_spl
| c1_2(a10,a1) ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( ~ sQ123_spl
| sQ221_spl
| sQ124_spl
| ~ sQ27_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1262,f599,f280,f700,f1263,f697]) ).
fof(f1267,plain,
( ~ sQ124_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f1261,f599,f700]) ).
fof(f1268,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f846,f280,f172,f296]) ).
fof(f1269,plain,
( ~ sQ102_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f843,f280,f608]) ).
fof(f1274,plain,
( sQ128_spl
| sP8_prd(a23) ),
inference(resolution,[status(thm)],[f719,f167]) ).
fof(f1277,plain,
( ~ sQ135_spl
| ~ sP1_prd(a24) ),
inference(resolution,[status(thm)],[f748,f93]) ).
fof(f1278,plain,
( ~ sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1277,f744,f747]) ).
fof(f1279,plain,
( ~ sQ133_spl
| ~ sP1_prd(a24) ),
inference(resolution,[status(thm)],[f742,f91]) ).
fof(f1280,plain,
( ~ sQ141_spl
| ~ sP0_prd(a24) ),
inference(resolution,[status(thm)],[f776,f84]) ).
fof(f1281,plain,
( ~ sQ141_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f1280,f778,f775]) ).
fof(f1282,plain,
( ~ sQ140_spl
| c1_2(a24,a1)
| c3_2(a24,a1)
| ~ ndr1_1(a24)
| sP0_prd(a24) ),
inference(resolution,[status(thm)],[f773,f87]) ).
fof(f1283,plain,
( ~ sQ140_spl
| sQ212_spl
| sQ141_spl
| ~ sQ82_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1282,f778,f507,f775,f1184,f772]) ).
fof(f1284,plain,
( ~ sQ142_spl
| c5_2(a24,a1) ),
inference(resolution,[status(thm)],[f779,f85]) ).
fof(f1285,plain,
( ~ sQ142_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f779,f83]) ).
fof(f1294,plain,
( ~ sQ178_spl
| ~ sP1_prd(a8) ),
inference(resolution,[status(thm)],[f970,f93]) ).
fof(f1295,plain,
( ~ sQ178_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f818]) ).
fof(f1296,plain,
( ~ sQ178_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1297,plain,
( ~ sQ177_spl
| ~ sP1_prd(a8) ),
inference(resolution,[status(thm)],[f967,f91]) ).
fof(f1298,plain,
( ~ sQ190_spl
| ~ sP1_prd(a14) ),
inference(resolution,[status(thm)],[f1019,f93]) ).
fof(f1299,plain,
( ~ sQ190_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1298,f1016]) ).
fof(f1300,plain,
( ~ sQ190_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( ~ sQ188_spl
| ~ sP1_prd(a14) ),
inference(resolution,[status(thm)],[f1013,f91]) ).
fof(f1302,plain,
( ~ sQ193_spl
| ~ sP0_prd(a8) ),
inference(resolution,[status(thm)],[f1034,f84]) ).
fof(f1303,plain,
( ~ sQ192_spl
| c1_2(a8,a1)
| c3_2(a8,a1)
| ~ ndr1_1(a8)
| sP0_prd(a8) ),
inference(resolution,[status(thm)],[f1031,f87]) ).
fof(f1304,definition,
( sQ224_spl
<=> c1_2(a8,a1) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ224_spl
| c1_2(a8,a1) ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( ~ sQ192_spl
| sQ224_spl
| sQ193_spl
| ~ sQ67_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1303,f1036,f441,f1033,f1304,f1030]) ).
fof(f1308,plain,
( ~ sQ193_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1302,f1036,f1033]) ).
fof(f1333,plain,
( ~ sQ201_spl
| sP8_prd(a18) ),
inference(resolution,[status(thm)],[f1117,f168]) ).
fof(f1334,plain,
( sQ200_spl
| sP8_prd(a18) ),
inference(resolution,[status(thm)],[f1115,f166]) ).
fof(f1335,plain,
( sQ216_spl
| sP8_prd(a23) ),
inference(resolution,[status(thm)],[f1206,f166]) ).
fof(f1340,plain,
( ~ sQ212_spl
| ~ sP0_prd(a24) ),
inference(resolution,[status(thm)],[f1185,f86]) ).
fof(f1341,plain,
( ~ sQ212_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f1340,f778,f1184]) ).
fof(f1342,plain,
( ~ sQ215_spl
| ~ sP1_prd(a12) ),
inference(resolution,[status(thm)],[f1197,f93]) ).
fof(f1343,plain,
( ~ sQ215_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f1342,f803,f1196]) ).
fof(f1344,plain,
( ~ sQ202_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1228,f1193,f1122]) ).
fof(f1345,plain,
( ~ sQ213_spl
| ~ sP1_prd(a12) ),
inference(resolution,[status(thm)],[f1191,f91]) ).
fof(f1346,plain,
( ~ sQ221_spl
| ~ sP0_prd(a10) ),
inference(resolution,[status(thm)],[f1264,f86]) ).
fof(f1347,plain,
( ~ sQ224_spl
| ~ sP0_prd(a8) ),
inference(resolution,[status(thm)],[f1305,f86]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| 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
| sQ71_spl
| sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| sQ75_spl
| sQ76_spl
| ~ sQ77_spl
| sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| sQ84_spl
| sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| sQ90_spl
| ~ sQ91_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ111_spl
| sQ112_spl
| ~ sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| sQ121_spl
| sQ122_spl
| sQ123_spl
| sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| sQ133_spl
| ~ sQ134_spl
| sQ135_spl
| ~ sQ136_spl
| sQ137_spl
| ~ sQ138_spl
| sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| ~ sQ142_spl
| sQ143_spl
| ~ sQ144_spl
| ~ sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| sQ148_spl
| sQ149_spl
| ~ sQ150_spl
| sQ151_spl
| sQ152_spl
| sQ153_spl
| ~ sQ154_spl
| ~ sQ155_spl
| sQ156_spl
| sQ157_spl
| sQ158_spl
| ~ sQ159_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| sQ165_spl
| sQ166_spl
| sQ167_spl
| sQ168_spl
| sQ169_spl
| ~ sQ170_spl
| sQ171_spl
| sQ172_spl
| sQ173_spl
| sQ174_spl
| ~ sQ175_spl
| ~ sQ176_spl
| sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| sQ188_spl
| ~ sQ189_spl
| sQ190_spl
| sQ191_spl
| sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| sQ195_spl
| ~ sQ196_spl
| sQ197_spl
| ~ sQ198_spl
| sQ199_spl
| ~ sQ200_spl
| sQ201_spl
| ~ sQ202_spl
| sQ203_spl
| sQ204_spl
| sQ205_spl
| sQ206_spl
| sQ207_spl
| ~ sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ212_spl
| sQ213_spl
| ~ sQ214_spl
| sQ215_spl
| ~ sQ216_spl
| sQ217_spl
| ~ sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ221_spl
| sQ224_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN515+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 11:00:12 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.20/0.42 % Drodi V4.1.1
% 0.20/0.45 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.20/0.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.20/0.51 % Elapsed time: 0.101979 seconds
% 0.20/0.51 % CPU time: 0.222161 seconds
% 0.20/0.51 % Total memory used: 9.951 MB
% 0.20/0.51 % Net memory used: 9.907 MB
%------------------------------------------------------------------------------