%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN521+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:19:54 PM UTC 2026
% Result : CounterSatisfiable 0.13s 0.39s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c3_0
| ! [X12] :
( ndr1_0
=> ( ~ c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c5_2(X12,X13)
| c3_2(X12,X13)
| c4_2(X12,X13) ) ) ) )
| ~ c1_0 )
& ( ( ! [X11] :
( ndr1_1(a102)
=> ( ~ c3_2(a102,X11)
| ~ c5_2(a102,X11)
| ~ c1_2(a102,X11) ) )
& ~ c5_2(a102,a103)
& c1_2(a102,a103)
& ndr1_1(a102)
& c2_1(a102)
& ndr1_0 )
| c3_0
| ( ! [X10] :
( ndr1_1(a101)
=> ( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10) ) )
& ! [X9] :
( ndr1_1(a101)
=> ( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9) ) )
& ndr1_0 ) )
& ( ( c2_1(a100)
& c4_1(a100)
& ! [X8] :
( ndr1_1(a100)
=> ( ~ c2_2(a100,X8)
| ~ c3_2(a100,X8)
| ~ c4_2(a100,X8) ) )
& ndr1_0 )
| ( ! [X7] :
( ndr1_1(a97)
=> ( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7) ) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ c5_0 )
& ( ( ! [X6] :
( ndr1_1(a95)
=> ( ~ c3_2(a95,X6)
| ~ c1_2(a95,X6)
| c5_2(a95,X6) ) )
& c5_2(a95,a96)
& c1_2(a95,a96)
& ~ c4_2(a95,a96)
& ndr1_1(a95)
& ndr1_0 )
| ( c3_1(a93)
& c4_1(a93)
& ~ c4_2(a93,a94)
& c2_2(a93,a94)
& ~ c1_2(a93,a94)
& ndr1_1(a93)
& ndr1_0 )
| c4_0 )
& ( ! [X4] :
( ndr1_0
=> ( ( c5_2(X4,a92)
& c1_2(X4,a92)
& ndr1_1(X4) )
| ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) )
| ! [X5] :
( ndr1_1(X4)
=> ( ~ c1_2(X4,X5)
| c5_2(X4,X5)
| ~ c3_2(X4,X5) ) ) ) )
| ( ~ c2_1(a90)
& ~ c3_1(a90)
& ~ c4_1(a90)
& ndr1_0 )
| ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ! [X3] :
( ndr1_1(a88)
=> ( c2_2(a88,X3)
| c5_2(a88,X3) ) )
& c1_1(a88)
& ndr1_0 ) )
& ( ( c5_1(a85)
& c5_2(a85,a87)
& c4_2(a85,a87)
& ~ c3_2(a85,a87)
& ndr1_1(a85)
& ~ c1_2(a85,a86)
& ~ c3_2(a85,a86)
& ndr1_1(a85)
& ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c4_0
| c2_0
| ! [X1] :
( ndr1_0
=> ( c4_1(X1)
| ~ c1_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2) ) ) ) ) )
& ( ( c1_1(a82)
& ~ c5_2(a82,a84)
& ~ c4_2(a82,a84)
& ~ c2_2(a82,a84)
& ndr1_1(a82)
& ~ c5_2(a82,a83)
& c4_2(a82,a83)
& ndr1_1(a82)
& ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ! [Y] :
( ndr1_0
=> ( ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) )
| c1_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( c2_2(Y,Z)
| c4_2(Y,Z) ) ) ) )
| ( ~ c3_1(a80)
& c4_1(a80)
& ~ c2_1(a80)
& ndr1_0 ) )
& ( c3_0
| ( c3_2(a77,a79)
& ~ c2_2(a77,a79)
& ~ c5_2(a77,a79)
& ndr1_1(a77)
& ~ c3_2(a77,a78)
& ~ c5_2(a77,a78)
& ndr1_1(a77)
& ~ c3_1(a77)
& ndr1_0 )
| ! [W] :
( ndr1_0
=> ( ~ c1_1(W)
| ! [X] :
( ndr1_1(W)
=> ( c1_2(W,X)
| c4_2(W,X) ) ) ) ) )
& ( c5_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V) ) )
| c2_1(U)
| c4_1(U) ) ) )
& ( c1_0
| ~ c4_0
| ( c3_1(a76)
& c1_1(a76)
& ndr1_0 ) )
& ( ( ~ c2_1(a74)
& ~ c1_2(a74,a75)
& c5_2(a74,a75)
& ~ c2_2(a74,a75)
& ndr1_1(a74)
& ndr1_0 )
| c3_0 )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ( ~ c4_2(a70,a73)
& ~ c5_2(a70,a73)
& ndr1_1(a70)
& ~ c3_2(a70,a72)
& ~ c2_2(a70,a72)
& ~ c5_2(a70,a72)
& ndr1_1(a70)
& c1_2(a70,a71)
& ~ c2_2(a70,a71)
& c4_2(a70,a71)
& ndr1_1(a70)
& ndr1_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c3_0
| ! [X12] :
( ndr1_0
=> ( ~ c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c5_2(X12,X13)
| c3_2(X12,X13)
| c4_2(X12,X13) ) ) ) )
| ~ c1_0 )
& ( ( ! [X11] :
( ndr1_1(a102)
=> ( ~ c3_2(a102,X11)
| ~ c5_2(a102,X11)
| ~ c1_2(a102,X11) ) )
& ~ c5_2(a102,a103)
& c1_2(a102,a103)
& ndr1_1(a102)
& c2_1(a102)
& ndr1_0 )
| c3_0
| ( ! [X10] :
( ndr1_1(a101)
=> ( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10) ) )
& ! [X9] :
( ndr1_1(a101)
=> ( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9) ) )
& ndr1_0 ) )
& ( ( c2_1(a100)
& c4_1(a100)
& ! [X8] :
( ndr1_1(a100)
=> ( ~ c2_2(a100,X8)
| ~ c3_2(a100,X8)
| ~ c4_2(a100,X8) ) )
& ndr1_0 )
| ( ! [X7] :
( ndr1_1(a97)
=> ( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7) ) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ c5_0 )
& ( ( ! [X6] :
( ndr1_1(a95)
=> ( ~ c3_2(a95,X6)
| ~ c1_2(a95,X6)
| c5_2(a95,X6) ) )
& c5_2(a95,a96)
& c1_2(a95,a96)
& ~ c4_2(a95,a96)
& ndr1_1(a95)
& ndr1_0 )
| ( c3_1(a93)
& c4_1(a93)
& ~ c4_2(a93,a94)
& c2_2(a93,a94)
& ~ c1_2(a93,a94)
& ndr1_1(a93)
& ndr1_0 )
| c4_0 )
& ( ! [X4] :
( ndr1_0
=> ( ( c5_2(X4,a92)
& c1_2(X4,a92)
& ndr1_1(X4) )
| ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) )
| ! [X5] :
( ndr1_1(X4)
=> ( ~ c1_2(X4,X5)
| c5_2(X4,X5)
| ~ c3_2(X4,X5) ) ) ) )
| ( ~ c2_1(a90)
& ~ c3_1(a90)
& ~ c4_1(a90)
& ndr1_0 )
| ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ! [X3] :
( ndr1_1(a88)
=> ( c2_2(a88,X3)
| c5_2(a88,X3) ) )
& c1_1(a88)
& ndr1_0 ) )
& ( ( c5_1(a85)
& c5_2(a85,a87)
& c4_2(a85,a87)
& ~ c3_2(a85,a87)
& ndr1_1(a85)
& ~ c1_2(a85,a86)
& ~ c3_2(a85,a86)
& ndr1_1(a85)
& ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c4_0
| c2_0
| ! [X1] :
( ndr1_0
=> ( c4_1(X1)
| ~ c1_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2) ) ) ) ) )
& ( ( c1_1(a82)
& ~ c5_2(a82,a84)
& ~ c4_2(a82,a84)
& ~ c2_2(a82,a84)
& ndr1_1(a82)
& ~ c5_2(a82,a83)
& c4_2(a82,a83)
& ndr1_1(a82)
& ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ! [Y] :
( ndr1_0
=> ( ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) )
| c1_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( c2_2(Y,Z)
| c4_2(Y,Z) ) ) ) )
| ( ~ c3_1(a80)
& c4_1(a80)
& ~ c2_1(a80)
& ndr1_0 ) )
& ( c3_0
| ( c3_2(a77,a79)
& ~ c2_2(a77,a79)
& ~ c5_2(a77,a79)
& ndr1_1(a77)
& ~ c3_2(a77,a78)
& ~ c5_2(a77,a78)
& ndr1_1(a77)
& ~ c3_1(a77)
& ndr1_0 )
| ! [W] :
( ndr1_0
=> ( ~ c1_1(W)
| ! [X] :
( ndr1_1(W)
=> ( c1_2(W,X)
| c4_2(W,X) ) ) ) ) )
& ( c5_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V) ) )
| c2_1(U)
| c4_1(U) ) ) )
& ( c1_0
| ~ c4_0
| ( c3_1(a76)
& c1_1(a76)
& ndr1_0 ) )
& ( ( ~ c2_1(a74)
& ~ c1_2(a74,a75)
& c5_2(a74,a75)
& ~ c2_2(a74,a75)
& ndr1_1(a74)
& ndr1_0 )
| c3_0 )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ( ~ c4_2(a70,a73)
& ~ c5_2(a70,a73)
& ndr1_1(a70)
& ~ c3_2(a70,a72)
& ~ c2_2(a70,a72)
& ~ c5_2(a70,a72)
& ndr1_1(a70)
& c1_2(a70,a71)
& ~ c2_2(a70,a71)
& c4_2(a70,a71)
& ndr1_1(a70)
& ndr1_0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c3_0
| ! [X12] :
( ~ c4_1(X12)
| ! [X13] :
( ~ c5_2(X12,X13)
| c3_2(X12,X13)
| c4_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ ndr1_0 )
| ~ c1_0 )
& ( ( ! [X11] :
( ~ c3_2(a102,X11)
| ~ c5_2(a102,X11)
| ~ c1_2(a102,X11)
| ~ ndr1_1(a102) )
& ~ c5_2(a102,a103)
& c1_2(a102,a103)
& ndr1_1(a102)
& c2_1(a102)
& ndr1_0 )
| c3_0
| ( ! [X10] :
( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10)
| ~ ndr1_1(a101) )
& ! [X9] :
( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9)
| ~ ndr1_1(a101) )
& ndr1_0 ) )
& ( ( c2_1(a100)
& c4_1(a100)
& ! [X8] :
( ~ c2_2(a100,X8)
| ~ c3_2(a100,X8)
| ~ c4_2(a100,X8)
| ~ ndr1_1(a100) )
& ndr1_0 )
| ( ! [X7] :
( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7)
| ~ ndr1_1(a97) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ c5_0 )
& ( ( ! [X6] :
( ~ c3_2(a95,X6)
| ~ c1_2(a95,X6)
| c5_2(a95,X6)
| ~ ndr1_1(a95) )
& c5_2(a95,a96)
& c1_2(a95,a96)
& ~ c4_2(a95,a96)
& ndr1_1(a95)
& ndr1_0 )
| ( c3_1(a93)
& c4_1(a93)
& ~ c4_2(a93,a94)
& c2_2(a93,a94)
& ~ c1_2(a93,a94)
& ndr1_1(a93)
& ndr1_0 )
| c4_0 )
& ( ! [X4] :
( ( c5_2(X4,a92)
& c1_2(X4,a92)
& ndr1_1(X4) )
| ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) )
| ! [X5] :
( ~ c1_2(X4,X5)
| c5_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ ndr1_1(X4) )
| ~ ndr1_0 )
| ( ~ c2_1(a90)
& ~ c3_1(a90)
& ~ c4_1(a90)
& ndr1_0 )
| ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ! [X3] :
( c2_2(a88,X3)
| c5_2(a88,X3)
| ~ ndr1_1(a88) )
& c1_1(a88)
& ndr1_0 ) )
& ( ( c5_1(a85)
& c5_2(a85,a87)
& c4_2(a85,a87)
& ~ c3_2(a85,a87)
& ndr1_1(a85)
& ~ c1_2(a85,a86)
& ~ c3_2(a85,a86)
& ndr1_1(a85)
& ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c4_0
| c2_0
| ! [X1] :
( c4_1(X1)
| ~ c1_1(X1)
| ! [X2] :
( c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1) )
| ~ ndr1_0 ) )
& ( ( c1_1(a82)
& ~ c5_2(a82,a84)
& ~ c4_2(a82,a84)
& ~ c2_2(a82,a84)
& ndr1_1(a82)
& ~ c5_2(a82,a83)
& c4_2(a82,a83)
& ndr1_1(a82)
& ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ! [Y] :
( ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) )
| c1_1(Y)
| ! [Z] :
( c2_2(Y,Z)
| c4_2(Y,Z)
| ~ ndr1_1(Y) )
| ~ ndr1_0 )
| ( ~ c3_1(a80)
& c4_1(a80)
& ~ c2_1(a80)
& ndr1_0 ) )
& ( c3_0
| ( c3_2(a77,a79)
& ~ c2_2(a77,a79)
& ~ c5_2(a77,a79)
& ndr1_1(a77)
& ~ c3_2(a77,a78)
& ~ c5_2(a77,a78)
& ndr1_1(a77)
& ~ c3_1(a77)
& ndr1_0 )
| ! [W] :
( ~ c1_1(W)
| ! [X] :
( c1_2(W,X)
| c4_2(W,X)
| ~ ndr1_1(W) )
| ~ ndr1_0 ) )
& ( c5_0
| ! [U] :
( ! [V] :
( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ ndr1_1(U) )
| c2_1(U)
| c4_1(U)
| ~ ndr1_0 ) )
& ( c1_0
| ~ c4_0
| ( c3_1(a76)
& c1_1(a76)
& ndr1_0 ) )
& ( ( ~ c2_1(a74)
& ~ c1_2(a74,a75)
& c5_2(a74,a75)
& ~ c2_2(a74,a75)
& ndr1_1(a74)
& ndr1_0 )
| c3_0 )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ( ~ c4_2(a70,a73)
& ~ c5_2(a70,a73)
& ndr1_1(a70)
& ~ c3_2(a70,a72)
& ~ c2_2(a70,a72)
& ~ c5_2(a70,a72)
& ndr1_1(a70)
& c1_2(a70,a71)
& ~ c2_2(a70,a71)
& c4_2(a70,a71)
& ndr1_1(a70)
& ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y] :
( sP0_prd(Y)
<=> ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ! [X3] :
( c2_2(a88,X3)
| c5_2(a88,X3)
| ~ ndr1_1(a88) )
& c1_1(a88)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X4] :
( sP2_prd(X4)
<=> ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( c3_1(a93)
& c4_1(a93)
& ~ c4_2(a93,a94)
& c2_2(a93,a94)
& ~ c1_2(a93,a94)
& ndr1_1(a93)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
( sP4_prd
<=> ( ! [X7] :
( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7)
| ~ ndr1_1(a97) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
( sP5_prd
<=> ( c3_0
| ( ! [X10] :
( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10)
| ~ ndr1_1(a101) )
& ! [X9] :
( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9)
| ~ ndr1_1(a101) )
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,plain,
( ( c3_0
| ! [X12] :
( ~ c4_1(X12)
| ! [X13] :
( ~ c5_2(X12,X13)
| c3_2(X12,X13)
| c4_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ ndr1_0 )
| ~ c1_0 )
& ( ( ! [X11] :
( ~ c3_2(a102,X11)
| ~ c5_2(a102,X11)
| ~ c1_2(a102,X11)
| ~ ndr1_1(a102) )
& ~ c5_2(a102,a103)
& c1_2(a102,a103)
& ndr1_1(a102)
& c2_1(a102)
& ndr1_0 )
| sP5_prd )
& ( ( c2_1(a100)
& c4_1(a100)
& ! [X8] :
( ~ c2_2(a100,X8)
| ~ c3_2(a100,X8)
| ~ c4_2(a100,X8)
| ~ ndr1_1(a100) )
& ndr1_0 )
| sP4_prd
| ~ c5_0 )
& ( ( ! [X6] :
( ~ c3_2(a95,X6)
| ~ c1_2(a95,X6)
| c5_2(a95,X6)
| ~ ndr1_1(a95) )
& c5_2(a95,a96)
& c1_2(a95,a96)
& ~ c4_2(a95,a96)
& ndr1_1(a95)
& ndr1_0 )
| sP3_prd
| c4_0 )
& ( ! [X4] :
( ( c5_2(X4,a92)
& c1_2(X4,a92)
& ndr1_1(X4) )
| sP2_prd(X4)
| ! [X5] :
( ~ c1_2(X4,X5)
| c5_2(X4,X5)
| ~ c3_2(X4,X5)
| ~ ndr1_1(X4) )
| ~ ndr1_0 )
| ( ~ c2_1(a90)
& ~ c3_1(a90)
& ~ c4_1(a90)
& ndr1_0 )
| sP1_prd )
& ( ( c5_1(a85)
& c5_2(a85,a87)
& c4_2(a85,a87)
& ~ c3_2(a85,a87)
& ndr1_1(a85)
& ~ c1_2(a85,a86)
& ~ c3_2(a85,a86)
& ndr1_1(a85)
& ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c4_0
| c2_0
| ! [X1] :
( c4_1(X1)
| ~ c1_1(X1)
| ! [X2] :
( c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1) )
| ~ ndr1_0 ) )
& ( ( c1_1(a82)
& ~ c5_2(a82,a84)
& ~ c4_2(a82,a84)
& ~ c2_2(a82,a84)
& ndr1_1(a82)
& ~ c5_2(a82,a83)
& c4_2(a82,a83)
& ndr1_1(a82)
& ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ! [Y] :
( sP0_prd(Y)
| c1_1(Y)
| ! [Z] :
( c2_2(Y,Z)
| c4_2(Y,Z)
| ~ ndr1_1(Y) )
| ~ ndr1_0 )
| ( ~ c3_1(a80)
& c4_1(a80)
& ~ c2_1(a80)
& ndr1_0 ) )
& ( c3_0
| ( c3_2(a77,a79)
& ~ c2_2(a77,a79)
& ~ c5_2(a77,a79)
& ndr1_1(a77)
& ~ c3_2(a77,a78)
& ~ c5_2(a77,a78)
& ndr1_1(a77)
& ~ c3_1(a77)
& ndr1_0 )
| ! [W] :
( ~ c1_1(W)
| ! [X] :
( c1_2(W,X)
| c4_2(W,X)
| ~ ndr1_1(W) )
| ~ ndr1_0 ) )
& ( c5_0
| ! [U] :
( ! [V] :
( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ ndr1_1(U) )
| c2_1(U)
| c4_1(U)
| ~ ndr1_0 ) )
& ( c1_0
| ~ c4_0
| ( c3_1(a76)
& c1_1(a76)
& ndr1_0 ) )
& ( ( ~ c2_1(a74)
& ~ c1_2(a74,a75)
& c5_2(a74,a75)
& ~ c2_2(a74,a75)
& ndr1_1(a74)
& ndr1_0 )
| c3_0 )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ( ~ c4_2(a70,a73)
& ~ c5_2(a70,a73)
& ndr1_1(a70)
& ~ c3_2(a70,a72)
& ~ c2_2(a70,a72)
& ~ c5_2(a70,a72)
& ndr1_1(a70)
& c1_2(a70,a71)
& ~ c2_2(a70,a71)
& c4_2(a70,a71)
& ndr1_1(a70)
& ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f9,f8,f7,f6,f5,f4]) ).
fof(f11,plain,
( ( c3_0
| ! [X12] :
( ~ c4_1(X12)
| ! [X13] :
( ~ c5_2(X12,X13)
| c3_2(X12,X13)
| c4_2(X12,X13) )
| ~ ndr1_1(X12) )
| ~ ndr1_0
| ~ c1_0 )
& ( ( ( ! [X11] :
( ~ c3_2(a102,X11)
| ~ c5_2(a102,X11)
| ~ c1_2(a102,X11) )
| ~ ndr1_1(a102) )
& ~ c5_2(a102,a103)
& c1_2(a102,a103)
& ndr1_1(a102)
& c2_1(a102)
& ndr1_0 )
| sP5_prd )
& ( ( c2_1(a100)
& c4_1(a100)
& ( ! [X8] :
( ~ c2_2(a100,X8)
| ~ c3_2(a100,X8)
| ~ c4_2(a100,X8) )
| ~ ndr1_1(a100) )
& ndr1_0 )
| sP4_prd
| ~ c5_0 )
& ( ( ( ! [X6] :
( ~ c3_2(a95,X6)
| ~ c1_2(a95,X6)
| c5_2(a95,X6) )
| ~ ndr1_1(a95) )
& c5_2(a95,a96)
& c1_2(a95,a96)
& ~ c4_2(a95,a96)
& ndr1_1(a95)
& ndr1_0 )
| sP3_prd
| c4_0 )
& ( ! [X4] :
( ( c5_2(X4,a92)
& c1_2(X4,a92)
& ndr1_1(X4) )
| sP2_prd(X4)
| ! [X5] :
( ~ c1_2(X4,X5)
| c5_2(X4,X5)
| ~ c3_2(X4,X5) )
| ~ ndr1_1(X4) )
| ~ ndr1_0
| ( ~ c2_1(a90)
& ~ c3_1(a90)
& ~ c4_1(a90)
& ndr1_0 )
| sP1_prd )
& ( ( c5_1(a85)
& c5_2(a85,a87)
& c4_2(a85,a87)
& ~ c3_2(a85,a87)
& ndr1_1(a85)
& ~ c1_2(a85,a86)
& ~ c3_2(a85,a86)
& ndr1_1(a85)
& ndr1_0 )
| ~ c2_0
| c4_0 )
& ( ~ c4_0
| c2_0
| ! [X1] :
( c4_1(X1)
| ~ c1_1(X1)
| ! [X2] :
( c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2) )
| ~ ndr1_1(X1) )
| ~ ndr1_0 )
& ( ( c1_1(a82)
& ~ c5_2(a82,a84)
& ~ c4_2(a82,a84)
& ~ c2_2(a82,a84)
& ndr1_1(a82)
& ~ c5_2(a82,a83)
& c4_2(a82,a83)
& ndr1_1(a82)
& ndr1_0 )
| ~ c3_0 )
& ( ~ c1_0
| ! [Y] :
( sP0_prd(Y)
| c1_1(Y)
| ! [Z] :
( c2_2(Y,Z)
| c4_2(Y,Z) )
| ~ ndr1_1(Y) )
| ~ ndr1_0
| ( ~ c3_1(a80)
& c4_1(a80)
& ~ c2_1(a80)
& ndr1_0 ) )
& ( c3_0
| ( c3_2(a77,a79)
& ~ c2_2(a77,a79)
& ~ c5_2(a77,a79)
& ndr1_1(a77)
& ~ c3_2(a77,a78)
& ~ c5_2(a77,a78)
& ndr1_1(a77)
& ~ c3_1(a77)
& ndr1_0 )
| ! [W] :
( ~ c1_1(W)
| ! [X] :
( c1_2(W,X)
| c4_2(W,X) )
| ~ ndr1_1(W) )
| ~ ndr1_0 )
& ( c5_0
| ! [U] :
( ! [V] :
( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V) )
| ~ ndr1_1(U)
| c2_1(U)
| c4_1(U) )
| ~ ndr1_0 )
& ( c1_0
| ~ c4_0
| ( c3_1(a76)
& c1_1(a76)
& ndr1_0 ) )
& ( ( ~ c2_1(a74)
& ~ c1_2(a74,a75)
& c5_2(a74,a75)
& ~ c2_2(a74,a75)
& ndr1_1(a74)
& ndr1_0 )
| c3_0 )
& ( ~ c2_0
| ~ c5_0 )
& ( ~ c4_0
| ( ~ c4_2(a70,a73)
& ~ c5_2(a70,a73)
& ndr1_1(a70)
& ~ c3_2(a70,a72)
& ~ c2_2(a70,a72)
& ~ c5_2(a70,a72)
& ndr1_1(a70)
& c1_2(a70,a71)
& ~ c2_2(a70,a71)
& c4_2(a70,a71)
& ndr1_1(a70)
& ndr1_0 ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
( ~ c4_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( ~ c4_0
| ndr1_1(a70) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ c4_0
| c4_2(a70,a71) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
( ~ c4_0
| ~ c2_2(a70,a71) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f16,plain,
( ~ c4_0
| c1_2(a70,a71) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f18,plain,
( ~ c4_0
| ~ c5_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
( ~ c4_0
| ~ c2_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f20,plain,
( ~ c4_0
| ~ c3_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f22,plain,
( ~ c4_0
| ~ c5_2(a70,a73) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f23,plain,
( ~ c4_0
| ~ c4_2(a70,a73) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
( ~ c2_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
( ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
( ndr1_1(a74)
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
( ~ c2_2(a74,a75)
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
( c5_2(a74,a75)
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
( ~ c1_2(a74,a75)
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
( ~ c2_1(a74)
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
( c1_0
| ~ c4_0
| c1_1(a76) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
( c1_0
| ~ c4_0
| c3_1(a76) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
! [X0,X1] :
( c5_0
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f36,plain,
! [X0,X1] :
( c3_0
| ~ c3_1(a77)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( c3_0
| ndr1_1(a77)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f38,plain,
! [X0,X1] :
( c3_0
| ~ c5_2(a77,a78)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
! [X0,X1] :
( c3_0
| ~ c3_2(a77,a78)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( c3_0
| ~ c5_2(a77,a79)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( c3_0
| ~ c2_2(a77,a79)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( c3_0
| c3_2(a77,a79)
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
! [X0,X1] :
( ~ c1_0
| sP0_prd(X0)
| c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(a80) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
! [X0,X1] :
( ~ c1_0
| sP0_prd(X0)
| c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c4_1(a80) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
! [X0,X1] :
( ~ c1_0
| sP0_prd(X0)
| c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(a80) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f48,plain,
( ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
( ndr1_1(a82)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
( c4_2(a82,a83)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f51,plain,
( ~ c5_2(a82,a83)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f53,plain,
( ~ c2_2(a82,a84)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
( ~ c4_2(a82,a84)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
( ~ c5_2(a82,a84)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
( c1_1(a82)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f57,plain,
! [X0,X1] :
( ~ c4_0
| c2_0
| c4_1(X0)
| ~ c1_1(X0)
| c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f58,plain,
( ndr1_0
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f59,plain,
( ndr1_1(a85)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f60,plain,
( ~ c3_2(a85,a86)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f61,plain,
( ~ c1_2(a85,a86)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f63,plain,
( ~ c3_2(a85,a87)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( c4_2(a85,a87)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f65,plain,
( c5_2(a85,a87)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( c5_1(a85)
| ~ c2_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
! [X0,X1] :
( ndr1_1(X0)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c4_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f71,plain,
! [X0,X1] :
( c1_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c4_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f72,plain,
! [X0,X1] :
( c5_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c4_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
! [X0,X1] :
( ndr1_1(X0)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f74,plain,
! [X0,X1] :
( c1_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( c5_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( ndr1_1(X0)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f77,plain,
! [X0,X1] :
( c1_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( c5_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(a90)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f79,plain,
( ndr1_0
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f80,plain,
( ndr1_1(a95)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f81,plain,
( ~ c4_2(a95,a96)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f82,plain,
( c1_2(a95,a96)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f83,plain,
( c5_2(a95,a96)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f84,plain,
! [X0] :
( ~ c3_2(a95,X0)
| ~ c1_2(a95,X0)
| c5_2(a95,X0)
| ~ ndr1_1(a95)
| sP3_prd
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f85,plain,
( ndr1_0
| sP4_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f86,plain,
! [X0] :
( ~ c2_2(a100,X0)
| ~ c3_2(a100,X0)
| ~ c4_2(a100,X0)
| ~ ndr1_1(a100)
| sP4_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f87,plain,
( c4_1(a100)
| sP4_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f88,plain,
( c2_1(a100)
| sP4_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f89,plain,
( ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f90,plain,
( c2_1(a102)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f91,plain,
( ndr1_1(a102)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f92,plain,
( c1_2(a102,a103)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f93,plain,
( ~ c5_2(a102,a103)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f94,plain,
! [X0] :
( ~ c3_2(a102,X0)
| ~ c5_2(a102,X0)
| ~ c1_2(a102,X0)
| ~ ndr1_1(a102)
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f95,plain,
! [X0,X1] :
( c3_0
| ~ c4_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f96,plain,
! [Y] :
( ( c5_2(Y,a81)
| ~ c1_2(Y,a81)
| ~ c4_2(Y,a81)
| ~ ndr1_1(Y)
| sP0_prd(Y) )
& ( ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) )
| ~ sP0_prd(Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( ! [Y] :
( c5_2(Y,a81)
| ~ c1_2(Y,a81)
| ~ c4_2(Y,a81)
| ~ ndr1_1(Y)
| sP0_prd(Y) )
& ! [Y] :
( ( ~ c5_2(Y,a81)
& c1_2(Y,a81)
& c4_2(Y,a81)
& ndr1_1(Y) )
| ~ sP0_prd(Y) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [X0] :
( c4_2(X0,a81)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,plain,
! [X0] :
( c1_2(X0,a81)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f101,plain,
! [X0] :
( ~ c5_2(X0,a81)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f102,plain,
! [X0] :
( c5_2(X0,a81)
| ~ c1_2(X0,a81)
| ~ c4_2(X0,a81)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f103,plain,
( ( ~ c4_2(a88,a89)
| c5_2(a88,a89)
| c2_2(a88,a89)
| ~ ndr1_1(a88)
| ? [X3] :
( ~ c2_2(a88,X3)
& ~ c5_2(a88,X3)
& ndr1_1(a88) )
| ~ c1_1(a88)
| ~ ndr1_0
| sP1_prd )
& ( ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ! [X3] :
( c2_2(a88,X3)
| c5_2(a88,X3)
| ~ ndr1_1(a88) )
& c1_1(a88)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f104,plain,
( ( ~ c4_2(a88,a89)
| c5_2(a88,a89)
| c2_2(a88,a89)
| ~ ndr1_1(a88)
| ( ? [X3] :
( ~ c2_2(a88,X3)
& ~ c5_2(a88,X3) )
& ndr1_1(a88) )
| ~ c1_1(a88)
| ~ ndr1_0
| sP1_prd )
& ( ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ( ! [X3] :
( c2_2(a88,X3)
| c5_2(a88,X3) )
| ~ ndr1_1(a88) )
& c1_1(a88)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f105,plain,
( ( ~ c4_2(a88,a89)
| c5_2(a88,a89)
| c2_2(a88,a89)
| ~ ndr1_1(a88)
| ( ~ c2_2(a88,sK0_skl)
& ~ c5_2(a88,sK0_skl)
& ndr1_1(a88) )
| ~ c1_1(a88)
| ~ ndr1_0
| sP1_prd )
& ( ( c4_2(a88,a89)
& ~ c5_2(a88,a89)
& ~ c2_2(a88,a89)
& ndr1_1(a88)
& ( ! [X3] :
( c2_2(a88,X3)
| c5_2(a88,X3) )
| ~ ndr1_1(a88) )
& c1_1(a88)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X3,sK0_skl)],[f104]) ).
fof(f106,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
( c1_1(a88)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
! [X0] :
( c2_2(a88,X0)
| c5_2(a88,X0)
| ~ ndr1_1(a88)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f109,plain,
( ndr1_1(a88)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f110,plain,
( ~ c2_2(a88,a89)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f111,plain,
( ~ c5_2(a88,a89)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f112,plain,
( c4_2(a88,a89)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f114,plain,
( ~ c4_2(a88,a89)
| c5_2(a88,a89)
| c2_2(a88,a89)
| ~ ndr1_1(a88)
| ~ c5_2(a88,sK0_skl)
| ~ c1_1(a88)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f115,plain,
( ~ c4_2(a88,a89)
| c5_2(a88,a89)
| c2_2(a88,a89)
| ~ ndr1_1(a88)
| ~ c2_2(a88,sK0_skl)
| ~ c1_1(a88)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f116,plain,
! [X4] :
( ( c1_2(X4,a91)
| c4_2(X4,a91)
| c2_2(X4,a91)
| ~ ndr1_1(X4)
| sP2_prd(X4) )
& ( ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) )
| ~ sP2_prd(X4) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f117,plain,
( ! [X4] :
( c1_2(X4,a91)
| c4_2(X4,a91)
| c2_2(X4,a91)
| ~ ndr1_1(X4)
| sP2_prd(X4) )
& ! [X4] :
( ( ~ c1_2(X4,a91)
& ~ c4_2(X4,a91)
& ~ c2_2(X4,a91)
& ndr1_1(X4) )
| ~ sP2_prd(X4) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ c2_2(X0,a91)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
! [X0] :
( ~ c4_2(X0,a91)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f121,plain,
! [X0] :
( ~ c1_2(X0,a91)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f122,plain,
! [X0] :
( c1_2(X0,a91)
| c4_2(X0,a91)
| c2_2(X0,a91)
| ~ ndr1_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f123,plain,
( ( ~ c3_1(a93)
| ~ c4_1(a93)
| c4_2(a93,a94)
| ~ c2_2(a93,a94)
| c1_2(a93,a94)
| ~ ndr1_1(a93)
| ~ ndr1_0
| sP3_prd )
& ( ( c3_1(a93)
& c4_1(a93)
& ~ c4_2(a93,a94)
& c2_2(a93,a94)
& ~ c1_2(a93,a94)
& ndr1_1(a93)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f124,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
( ndr1_1(a93)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ c1_2(a93,a94)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
( c2_2(a93,a94)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
( ~ c4_2(a93,a94)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f129,plain,
( c4_1(a93)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f130,plain,
( c3_1(a93)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f131,plain,
( ~ c3_1(a93)
| ~ c4_1(a93)
| c4_2(a93,a94)
| ~ c2_2(a93,a94)
| c1_2(a93,a94)
| ~ ndr1_1(a93)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f132,plain,
( ( ? [X7] :
( ~ c1_2(a97,X7)
& ~ c2_2(a97,X7)
& ~ c3_2(a97,X7)
& ndr1_1(a97) )
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd )
& ( ( ! [X7] :
( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7)
| ~ ndr1_1(a97) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f133,plain,
( ( ( ? [X7] :
( ~ c1_2(a97,X7)
& ~ c2_2(a97,X7)
& ~ c3_2(a97,X7) )
& ndr1_1(a97) )
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd )
& ( ( ( ! [X7] :
( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7) )
| ~ ndr1_1(a97) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ sP4_prd ) ),
inference(miniscoping,[status(thm)],[f132]) ).
fof(f134,plain,
( ( ( ~ c1_2(a97,sK1_skl)
& ~ c2_2(a97,sK1_skl)
& ~ c3_2(a97,sK1_skl)
& ndr1_1(a97) )
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd )
& ( ( ( ! [X7] :
( c1_2(a97,X7)
| c2_2(a97,X7)
| c3_2(a97,X7) )
| ~ ndr1_1(a97) )
& c5_2(a97,a99)
& ~ c1_2(a97,a99)
& ~ c2_2(a97,a99)
& ndr1_1(a97)
& ~ c2_2(a97,a98)
& c5_2(a97,a98)
& ndr1_1(a97)
& ndr1_0 )
| ~ sP4_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X7,sK1_skl)],[f133]) ).
fof(f135,plain,
( ndr1_0
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
( ndr1_1(a97)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
( c5_2(a97,a98)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( ~ c2_2(a97,a98)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
( ~ c2_2(a97,a99)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
( ~ c1_2(a97,a99)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
( c5_2(a97,a99)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
! [X0] :
( c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0)
| ~ ndr1_1(a97)
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f145,plain,
( ~ c3_2(a97,sK1_skl)
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f146,plain,
( ~ c2_2(a97,sK1_skl)
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f147,plain,
( ~ c1_2(a97,sK1_skl)
| ~ c5_2(a97,a99)
| c1_2(a97,a99)
| c2_2(a97,a99)
| ~ ndr1_1(a97)
| c2_2(a97,a98)
| ~ c5_2(a97,a98)
| ~ ndr1_1(a97)
| ~ ndr1_0
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f148,plain,
( ( ( ~ c3_0
& ( ? [X10] :
( c5_2(a101,X10)
& ~ c3_2(a101,X10)
& c1_2(a101,X10)
& ndr1_1(a101) )
| ? [X9] :
( c5_2(a101,X9)
& c2_2(a101,X9)
& ndr1_1(a101) )
| ~ ndr1_0 ) )
| sP5_prd )
& ( c3_0
| ( ! [X10] :
( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10)
| ~ ndr1_1(a101) )
& ! [X9] :
( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9)
| ~ ndr1_1(a101) )
& ndr1_0 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f149,plain,
( ( ( ~ c3_0
& ( ( ? [X10] :
( c5_2(a101,X10)
& ~ c3_2(a101,X10)
& c1_2(a101,X10) )
& ndr1_1(a101) )
| ( ? [X9] :
( c5_2(a101,X9)
& c2_2(a101,X9) )
& ndr1_1(a101) )
| ~ ndr1_0 ) )
| sP5_prd )
& ( c3_0
| ( ( ! [X10] :
( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10) )
| ~ ndr1_1(a101) )
& ( ! [X9] :
( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9) )
| ~ ndr1_1(a101) )
& ndr1_0 )
| ~ sP5_prd ) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f150,plain,
( ( ( ~ c3_0
& ( ( c5_2(a101,sK3_skl)
& ~ c3_2(a101,sK3_skl)
& c1_2(a101,sK3_skl)
& ndr1_1(a101) )
| ( c5_2(a101,sK2_skl)
& c2_2(a101,sK2_skl)
& ndr1_1(a101) )
| ~ ndr1_0 ) )
| sP5_prd )
& ( c3_0
| ( ( ! [X10] :
( ~ c5_2(a101,X10)
| c3_2(a101,X10)
| ~ c1_2(a101,X10) )
| ~ ndr1_1(a101) )
& ( ! [X9] :
( ~ c5_2(a101,X9)
| ~ c2_2(a101,X9) )
| ~ ndr1_1(a101) )
& ndr1_0 )
| ~ sP5_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X9,sK2_skl),skolemize(X10,sK3_skl)],[f149]) ).
fof(f151,plain,
( c3_0
| ndr1_0
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0] :
( c3_0
| ~ c5_2(a101,X0)
| ~ c2_2(a101,X0)
| ~ ndr1_1(a101)
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f153,plain,
! [X0] :
( c3_0
| ~ c5_2(a101,X0)
| c3_2(a101,X0)
| ~ c1_2(a101,X0)
| ~ ndr1_1(a101)
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f154,plain,
( ndr1_1(a101)
| ndr1_1(a101)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f159,plain,
( c1_2(a101,sK3_skl)
| c2_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f160,plain,
( ~ c3_2(a101,sK3_skl)
| c2_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f161,plain,
( c5_2(a101,sK3_skl)
| c2_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f163,plain,
( c1_2(a101,sK3_skl)
| c5_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f164,plain,
( ~ c3_2(a101,sK3_skl)
| c5_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f165,plain,
( c5_2(a101,sK3_skl)
| c5_2(a101,sK2_skl)
| ~ ndr1_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f166,plain,
( ~ c3_0
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f167,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ1_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ1_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ1_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f167,f170]) ).
fof(f174,definition,
( sQ2_spl
<=> ndr1_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ2_spl
| ndr1_1(a70) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ2_spl
| ~ ndr1_1(a70) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f13,f174,f170]) ).
fof(f178,definition,
( sQ3_spl
<=> c4_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ3_spl
| c4_2(a70,a71) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f14,f178,f170]) ).
fof(f182,definition,
( sQ4_spl
<=> c2_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ4_spl
| ~ c2_2(a70,a71) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f15,f182,f170]) ).
fof(f186,definition,
( sQ5_spl
<=> c1_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ5_spl
| c1_2(a70,a71) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f16,f186,f170]) ).
fof(f191,definition,
( sQ6_spl
<=> c5_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ6_spl
| ~ c5_2(a70,a72) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f18,f191,f170]) ).
fof(f195,definition,
( sQ7_spl
<=> c2_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ7_spl
| ~ c2_2(a70,a72) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f19,f195,f170]) ).
fof(f199,definition,
( sQ8_spl
<=> c3_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ8_spl
| ~ c3_2(a70,a72) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f20,f199,f170]) ).
fof(f204,definition,
( sQ9_spl
<=> c5_2(a70,a73) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ9_spl
| ~ c5_2(a70,a73) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f22,f204,f170]) ).
fof(f208,definition,
( sQ10_spl
<=> c4_2(a70,a73) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ10_spl
| ~ c4_2(a70,a73) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( ~ sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f23,f208,f170]) ).
fof(f212,definition,
( sQ11_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ11_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ12_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ12_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f24,f212,f215]) ).
fof(f219,definition,
( sQ13_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ13_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ0_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f25,f219,f167]) ).
fof(f223,definition,
( sQ14_spl
<=> ndr1_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ14_spl
| ndr1_1(a74) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f26,f219,f223]) ).
fof(f227,definition,
( sQ15_spl
<=> c2_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ15_spl
| ~ c2_2(a74,a75) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( ~ sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f27,f219,f227]) ).
fof(f231,definition,
( sQ16_spl
<=> c5_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ16_spl
| c5_2(a74,a75) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ16_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f28,f219,f231]) ).
fof(f235,definition,
( sQ17_spl
<=> c1_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ17_spl
| ~ c1_2(a74,a75) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( ~ sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f29,f219,f235]) ).
fof(f239,definition,
( sQ18_spl
<=> c2_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ18_spl
| ~ c2_1(a74) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( ~ sQ18_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f30,f219,f239]) ).
fof(f243,definition,
( sQ19_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ19_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ19_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f247,definition,
( sQ20_spl
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ20_spl
| c1_1(a76) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ19_spl
| ~ sQ1_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f32,f247,f170,f243]) ).
fof(f251,definition,
( sQ21_spl
<=> c3_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ21_spl
| c3_1(a76) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( sQ19_spl
| ~ sQ1_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f33,f251,f170,f243]) ).
fof(f255,definition,
! [X0,X1] :
( sQ22_spl
<=> ( ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sQ22_spl
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ11_spl
| sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f167,f255,f212]) ).
fof(f259,definition,
! [X0,X1] :
( sQ23_spl
<=> ( ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0,X1] :
( ~ sQ23_spl
| ~ c1_1(X0)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f263,definition,
( sQ24_spl
<=> c3_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ24_spl
| ~ c3_1(a77) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ13_spl
| ~ sQ24_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f167,f259,f263,f219]) ).
fof(f267,definition,
( sQ25_spl
<=> ndr1_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ25_spl
| ndr1_1(a77) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ25_spl
| ~ ndr1_1(a77) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ13_spl
| sQ25_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f167,f259,f267,f219]) ).
fof(f271,definition,
( sQ26_spl
<=> c5_2(a77,a78) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( sQ26_spl
| ~ c5_2(a77,a78) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ13_spl
| ~ sQ26_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f167,f259,f271,f219]) ).
fof(f275,definition,
( sQ27_spl
<=> c3_2(a77,a78) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ27_spl
| ~ c3_2(a77,a78) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ13_spl
| ~ sQ27_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f39,f167,f259,f275,f219]) ).
fof(f280,definition,
( sQ28_spl
<=> c5_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ28_spl
| c5_2(a77,a79) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ28_spl
| ~ c5_2(a77,a79) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ13_spl
| ~ sQ28_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f167,f259,f280,f219]) ).
fof(f284,definition,
( sQ29_spl
<=> c2_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ29_spl
| ~ c2_2(a77,a79) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ13_spl
| ~ sQ29_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f167,f259,f284,f219]) ).
fof(f288,definition,
( sQ30_spl
<=> c3_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ30_spl
| c3_2(a77,a79) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ30_spl
| ~ c3_2(a77,a79) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( sQ13_spl
| sQ30_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f43,f167,f259,f288,f219]) ).
fof(f292,definition,
! [X0,X1] :
( sQ31_spl
<=> ( sP0_prd(X0)
| c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f293,plain,
! [X0,X1] :
( ~ sQ31_spl
| sP0_prd(X0)
| c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f296,definition,
( sQ32_spl
<=> c2_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ32_spl
| ~ c2_1(a80) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ19_spl
| sQ31_spl
| ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f45,f296,f167,f292,f243]) ).
fof(f300,definition,
( sQ33_spl
<=> c4_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ33_spl
| c4_1(a80) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ19_spl
| sQ31_spl
| ~ sQ0_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f46,f300,f167,f292,f243]) ).
fof(f304,definition,
( sQ34_spl
<=> c3_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ34_spl
| ~ c3_1(a80) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( ~ sQ19_spl
| sQ31_spl
| ~ sQ0_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f47,f304,f167,f292,f243]) ).
fof(f308,plain,
( sQ0_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f48,f219,f167]) ).
fof(f309,definition,
( sQ35_spl
<=> ndr1_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ35_spl
| ndr1_1(a82) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ35_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f49,f219,f309]) ).
fof(f313,definition,
( sQ36_spl
<=> c4_2(a82,a83) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ36_spl
| c4_2(a82,a83) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ36_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f50,f219,f313]) ).
fof(f317,definition,
( sQ37_spl
<=> c5_2(a82,a83) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ37_spl
| ~ c5_2(a82,a83) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( ~ sQ37_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f51,f219,f317]) ).
fof(f322,definition,
( sQ38_spl
<=> c2_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ38_spl
| ~ c2_2(a82,a84) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( ~ sQ38_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f53,f219,f322]) ).
fof(f326,definition,
( sQ39_spl
<=> c4_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( sQ39_spl
| ~ c4_2(a82,a84) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( ~ sQ39_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f54,f219,f326]) ).
fof(f330,definition,
( sQ40_spl
<=> c5_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( sQ40_spl
| ~ c5_2(a82,a84) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( ~ sQ40_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f55,f219,f330]) ).
fof(f334,definition,
( sQ41_spl
<=> c1_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ41_spl
| c1_1(a82) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ41_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f56,f219,f334]) ).
fof(f338,definition,
! [X0,X1] :
( sQ42_spl
<=> ( c4_1(X0)
| ~ c1_1(X0)
| c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0,X1] :
( ~ sQ42_spl
| c4_1(X0)
| ~ c1_1(X0)
| c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( ~ sQ1_spl
| sQ12_spl
| sQ42_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f167,f338,f215,f170]) ).
fof(f342,plain,
( sQ0_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f58,f170,f215,f167]) ).
fof(f343,definition,
( sQ43_spl
<=> ndr1_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ43_spl
| ndr1_1(a85) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ43_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f59,f170,f215,f343]) ).
fof(f347,definition,
( sQ44_spl
<=> c3_2(a85,a86) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ44_spl
| ~ c3_2(a85,a86) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( ~ sQ44_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f60,f170,f215,f347]) ).
fof(f351,definition,
( sQ45_spl
<=> c1_2(a85,a86) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( sQ45_spl
| ~ c1_2(a85,a86) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( ~ sQ45_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f61,f170,f215,f351]) ).
fof(f356,definition,
( sQ46_spl
<=> c3_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ46_spl
| ~ c3_2(a85,a87) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( ~ sQ46_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f63,f170,f215,f356]) ).
fof(f360,definition,
( sQ47_spl
<=> c4_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ47_spl
| c4_2(a85,a87) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ47_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f64,f170,f215,f360]) ).
fof(f364,definition,
( sQ48_spl
<=> c5_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ48_spl
| c5_2(a85,a87) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( sQ48_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f65,f170,f215,f364]) ).
fof(f368,definition,
( sQ49_spl
<=> c5_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ49_spl
| c5_1(a85) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ49_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f66,f170,f215,f368]) ).
fof(f372,definition,
( sQ50_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( sQ50_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
! [X0,X1] :
( sQ51_spl
<=> ( ndr1_1(X0)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f379,definition,
! [X0,X1] :
( sQ52_spl
<=> ( c1_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f380,plain,
! [X0,X1] :
( ~ sQ52_spl
| c1_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f383,definition,
! [X0,X1] :
( sQ53_spl
<=> ( c5_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sQ53_spl
| c5_2(X0,a92)
| sP2_prd(X0)
| ~ c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f387,definition,
( sQ54_spl
<=> c4_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ54_spl
| ~ c4_1(a90) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f70,f372,f387,f167,f375]) ).
fof(f391,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f71,f372,f387,f167,f379]) ).
fof(f392,plain,
( sQ53_spl
| ~ sQ0_spl
| ~ sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f72,f372,f387,f167,f383]) ).
fof(f393,definition,
( sQ55_spl
<=> c3_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ55_spl
| ~ c3_1(a90) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f73,f372,f393,f167,f375]) ).
fof(f397,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f372,f393,f167,f379]) ).
fof(f398,plain,
( sQ53_spl
| ~ sQ0_spl
| ~ sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f75,f372,f393,f167,f383]) ).
fof(f399,definition,
( sQ56_spl
<=> c2_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ56_spl
| ~ c2_1(a90) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f76,f372,f399,f167,f375]) ).
fof(f403,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f77,f372,f399,f167,f379]) ).
fof(f404,plain,
( sQ53_spl
| ~ sQ0_spl
| ~ sQ56_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f78,f372,f399,f167,f383]) ).
fof(f405,definition,
( sQ57_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ57_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ57_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( sQ0_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f79,f170,f405,f167]) ).
fof(f409,definition,
( sQ58_spl
<=> ndr1_1(a95) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ58_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f80,f170,f405,f409]) ).
fof(f413,definition,
( sQ59_spl
<=> c4_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( sQ59_spl
| ~ c4_2(a95,a96) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( ~ sQ59_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f81,f170,f405,f413]) ).
fof(f417,definition,
( sQ60_spl
<=> c1_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ60_spl
| c1_2(a95,a96) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ60_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f82,f170,f405,f417]) ).
fof(f421,definition,
( sQ61_spl
<=> c5_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ61_spl
| c5_2(a95,a96) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sQ61_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f83,f170,f405,f421]) ).
fof(f425,definition,
! [X0] :
( sQ62_spl
<=> ( ~ c3_2(a95,X0)
| ~ c1_2(a95,X0)
| c5_2(a95,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0] :
( ~ sQ62_spl
| ~ c3_2(a95,X0)
| ~ c1_2(a95,X0)
| c5_2(a95,X0) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ62_spl
| ~ sQ58_spl
| sQ57_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f84,f170,f405,f409,f425]) ).
fof(f429,definition,
( sQ63_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ63_spl
| sP4_prd ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ0_spl
| sQ63_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f85,f212,f429,f167]) ).
fof(f433,definition,
( sQ64_spl
<=> ndr1_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ64_spl
| ~ ndr1_1(a100) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
! [X0] :
( sQ65_spl
<=> ( ~ c2_2(a100,X0)
| ~ c3_2(a100,X0)
| ~ c4_2(a100,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f437,plain,
! [X0] :
( ~ sQ65_spl
| ~ c2_2(a100,X0)
| ~ c3_2(a100,X0)
| ~ c4_2(a100,X0) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ65_spl
| ~ sQ64_spl
| sQ63_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f212,f429,f433,f436]) ).
fof(f440,definition,
( sQ66_spl
<=> c4_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ66_spl
| c4_1(a100) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ66_spl
| sQ63_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f212,f429,f440]) ).
fof(f444,definition,
( sQ67_spl
<=> c2_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ67_spl
| c2_1(a100) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( sQ67_spl
| sQ63_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f88,f212,f429,f444]) ).
fof(f448,definition,
( sQ68_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ68_spl
| sP5_prd ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f89,f448,f167]) ).
fof(f452,definition,
( sQ69_spl
<=> c2_1(a102) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ69_spl
| c2_1(a102) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f90,f448,f452]) ).
fof(f456,definition,
( sQ70_spl
<=> ndr1_1(a102) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f91,f448,f456]) ).
fof(f460,definition,
( sQ71_spl
<=> c1_2(a102,a103) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ71_spl
| c1_2(a102,a103) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ71_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f92,f448,f460]) ).
fof(f464,definition,
( sQ72_spl
<=> c5_2(a102,a103) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ72_spl
| ~ c5_2(a102,a103) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ72_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f448,f464]) ).
fof(f468,definition,
! [X0] :
( sQ73_spl
<=> ( ~ c3_2(a102,X0)
| ~ c5_2(a102,X0)
| ~ c1_2(a102,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f469,plain,
! [X0] :
( ~ sQ73_spl
| ~ c3_2(a102,X0)
| ~ c5_2(a102,X0)
| ~ c1_2(a102,X0) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ73_spl
| ~ sQ70_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f94,f448,f456,f468]) ).
fof(f472,definition,
! [X0,X1] :
( sQ74_spl
<=> ( ~ c4_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f473,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ c4_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ13_spl
| sQ74_spl
| ~ sQ0_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f95,f243,f167,f472,f219]) ).
fof(f476,plain,
( sQ0_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f106,f372,f167]) ).
fof(f477,definition,
( sQ75_spl
<=> c1_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ75_spl
| ~ c1_1(a88) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ75_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f107,f372,f477]) ).
fof(f481,definition,
( sQ76_spl
<=> ndr1_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ76_spl
| ndr1_1(a88) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ76_spl
| ~ ndr1_1(a88) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
! [X0] :
( sQ77_spl
<=> ( c2_2(a88,X0)
| c5_2(a88,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f485,plain,
! [X0] :
( ~ sQ77_spl
| c2_2(a88,X0)
| c5_2(a88,X0) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ77_spl
| ~ sQ76_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f108,f372,f481,f484]) ).
fof(f488,plain,
( sQ76_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f109,f372,f481]) ).
fof(f489,definition,
( sQ78_spl
<=> c2_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ78_spl
| c2_2(a88,a89) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ sQ78_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f110,f372,f489]) ).
fof(f493,definition,
( sQ79_spl
<=> c5_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ79_spl
| c5_2(a88,a89) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ79_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f111,f372,f493]) ).
fof(f497,definition,
( sQ80_spl
<=> c4_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ80_spl
| ~ c4_2(a88,a89) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( sQ80_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f112,f372,f497]) ).
fof(f502,definition,
( sQ81_spl
<=> c5_2(a88,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ81_spl
| ~ c5_2(a88,sK0_skl) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( ~ sQ80_spl
| sQ79_spl
| sQ78_spl
| ~ sQ76_spl
| ~ sQ81_spl
| ~ sQ75_spl
| ~ sQ0_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f114,f372,f167,f477,f502,f481,f489,f493,f497]) ).
fof(f506,definition,
( sQ82_spl
<=> c2_2(a88,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( sQ82_spl
| ~ c2_2(a88,sK0_skl) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( ~ sQ80_spl
| sQ79_spl
| sQ78_spl
| ~ sQ76_spl
| ~ sQ82_spl
| ~ sQ75_spl
| ~ sQ0_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f115,f372,f167,f477,f506,f481,f489,f493,f497]) ).
fof(f510,plain,
( sQ0_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f124,f405,f167]) ).
fof(f511,definition,
( sQ83_spl
<=> ndr1_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ83_spl
| ndr1_1(a93) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ83_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f125,f405,f511]) ).
fof(f515,definition,
( sQ84_spl
<=> c1_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ84_spl
| ~ c1_2(a93,a94) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ84_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f126,f405,f515]) ).
fof(f519,definition,
( sQ85_spl
<=> c2_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ85_spl
| c2_2(a93,a94) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ85_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f127,f405,f519]) ).
fof(f523,definition,
( sQ86_spl
<=> c4_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ86_spl
| c4_2(a93,a94) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ86_spl
| ~ c4_2(a93,a94) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ sQ86_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f128,f405,f523]) ).
fof(f527,definition,
( sQ87_spl
<=> c4_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ87_spl
| c4_1(a93) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( sQ87_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f129,f405,f527]) ).
fof(f531,definition,
( sQ88_spl
<=> c3_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ88_spl
| c3_1(a93) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( sQ88_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f130,f405,f531]) ).
fof(f535,plain,
( ~ sQ88_spl
| ~ sQ87_spl
| sQ86_spl
| ~ sQ85_spl
| sQ84_spl
| ~ sQ83_spl
| ~ sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f131,f405,f167,f511,f515,f519,f523,f527,f531]) ).
fof(f536,plain,
( sQ0_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f135,f429,f167]) ).
fof(f537,definition,
( sQ89_spl
<=> ndr1_1(a97) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ89_spl
| ndr1_1(a97) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ89_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f136,f429,f537]) ).
fof(f541,definition,
( sQ90_spl
<=> c5_2(a97,a98) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ90_spl
| c5_2(a97,a98) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ90_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f137,f429,f541]) ).
fof(f545,definition,
( sQ91_spl
<=> c2_2(a97,a98) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( sQ91_spl
| ~ c2_2(a97,a98) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ91_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f138,f429,f545]) ).
fof(f550,definition,
( sQ92_spl
<=> c2_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( sQ92_spl
| ~ c2_2(a97,a99) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ92_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f140,f429,f550]) ).
fof(f554,definition,
( sQ93_spl
<=> c1_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( sQ93_spl
| ~ c1_2(a97,a99) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ93_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f141,f429,f554]) ).
fof(f558,definition,
( sQ94_spl
<=> c5_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ94_spl
| c5_2(a97,a99) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( sQ94_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f142,f429,f558]) ).
fof(f562,definition,
! [X0] :
( sQ95_spl
<=> ( c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f563,plain,
! [X0] :
( ~ sQ95_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( sQ95_spl
| ~ sQ89_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f143,f429,f537,f562]) ).
fof(f567,definition,
( sQ96_spl
<=> c3_2(a97,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ96_spl
| c3_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ96_spl
| ~ c3_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ96_spl
| ~ sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f145,f429,f167,f537,f541,f545,f550,f554,f558,f567]) ).
fof(f571,definition,
( sQ97_spl
<=> c2_2(a97,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( sQ97_spl
| ~ c2_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ sQ97_spl
| ~ sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f146,f429,f167,f537,f541,f545,f550,f554,f558,f571]) ).
fof(f575,definition,
( sQ98_spl
<=> c1_2(a97,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ98_spl
| c1_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ98_spl
| ~ c1_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( ~ sQ98_spl
| ~ sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| ~ sQ90_spl
| ~ sQ89_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f147,f429,f167,f537,f541,f545,f550,f554,f558,f575]) ).
fof(f579,plain,
( sQ13_spl
| sQ0_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f151,f448,f167,f219]) ).
fof(f580,definition,
( sQ99_spl
<=> ndr1_1(a101) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ99_spl
| ~ ndr1_1(a101) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
! [X0] :
( sQ100_spl
<=> ( ~ c5_2(a101,X0)
| ~ c2_2(a101,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f584,plain,
! [X0] :
( ~ sQ100_spl
| ~ c5_2(a101,X0)
| ~ c2_2(a101,X0) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( sQ13_spl
| sQ100_spl
| ~ sQ99_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f152,f448,f580,f583,f219]) ).
fof(f587,definition,
! [X0] :
( sQ101_spl
<=> ( ~ c5_2(a101,X0)
| c3_2(a101,X0)
| ~ c1_2(a101,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f588,plain,
! [X0] :
( ~ sQ101_spl
| ~ c5_2(a101,X0)
| c3_2(a101,X0)
| ~ c1_2(a101,X0) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( sQ13_spl
| sQ101_spl
| ~ sQ99_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f153,f448,f580,f587,f219]) ).
fof(f591,plain,
( sQ99_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f154,f448,f167,f580]) ).
fof(f592,definition,
( sQ102_spl
<=> c1_2(a101,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ102_spl
| c1_2(a101,sK3_skl) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f596,definition,
( sQ103_spl
<=> c3_2(a101,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( sQ103_spl
| ~ c3_2(a101,sK3_skl) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f600,definition,
( sQ104_spl
<=> c5_2(a101,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ104_spl
| c5_2(a101,sK3_skl) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f604,definition,
( sQ105_spl
<=> c2_2(a101,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ105_spl
| c2_2(a101,sK2_skl) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f608,plain,
( sQ102_spl
| sQ105_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f159,f448,f167,f604,f592]) ).
fof(f609,plain,
( ~ sQ103_spl
| sQ105_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f160,f448,f167,f604,f596]) ).
fof(f610,plain,
( sQ104_spl
| sQ105_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f161,f448,f167,f604,f600]) ).
fof(f611,definition,
( sQ106_spl
<=> c5_2(a101,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ106_spl
| c5_2(a101,sK2_skl) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ106_spl
| ~ c5_2(a101,sK2_skl) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f615,plain,
( sQ102_spl
| sQ106_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f163,f448,f167,f611,f592]) ).
fof(f616,plain,
( ~ sQ103_spl
| sQ106_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f164,f448,f167,f611,f596]) ).
fof(f617,plain,
( sQ104_spl
| sQ106_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f165,f448,f167,f611,f600]) ).
fof(f618,plain,
( ~ sQ13_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f166,f448,f219]) ).
fof(f619,plain,
( ~ sQ77_spl
| ~ sP0_prd(a88)
| c2_2(a88,a81) ),
inference(resolution,[status(thm)],[f485,f101]) ).
fof(f620,definition,
( sQ107_spl
<=> c2_2(a88,a81) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ107_spl
| c2_2(a88,a81) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ108_spl
<=> sP0_prd(a88) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( sQ108_spl
| ~ sP0_prd(a88) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ sQ77_spl
| ~ sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f619,f620,f623,f484]) ).
fof(f627,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ53_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c5_2(a97,a92)
| sP2_prd(a97)
| ~ c1_2(a97,X0)
| c5_2(a97,X0)
| ~ ndr1_1(a97) ),
inference(resolution,[status(thm)],[f384,f563]) ).
fof(f628,definition,
! [X0] :
( sQ109_spl
<=> ( c1_2(a97,X0)
| c2_2(a97,X0)
| ~ c1_2(a97,X0)
| c5_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f631,definition,
( sQ110_spl
<=> sP2_prd(a97) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ110_spl
| sP2_prd(a97) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ110_spl
| ~ sP2_prd(a97) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ111_spl
<=> c5_2(a97,a92) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ111_spl
| c5_2(a97,a92) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,plain,
( ~ sQ95_spl
| ~ sQ53_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f627,f537,f628,f631,f634,f383,f562]) ).
fof(f638,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ52_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c1_2(a97,a92)
| sP2_prd(a97)
| ~ c1_2(a97,X0)
| c5_2(a97,X0)
| ~ ndr1_1(a97) ),
inference(resolution,[status(thm)],[f380,f563]) ).
fof(f639,definition,
( sQ112_spl
<=> c1_2(a97,a92) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ112_spl
| c1_2(a97,a92) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ95_spl
| ~ sQ52_spl
| sQ112_spl
| sQ110_spl
| sQ109_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f638,f537,f628,f631,f639,f379,f562]) ).
fof(f643,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ74_spl
| c2_2(a88,X0)
| ~ c4_1(a88)
| c3_2(a88,X0)
| c4_2(a88,X0)
| ~ ndr1_1(a88) ),
inference(resolution,[status(thm)],[f473,f485]) ).
fof(f644,definition,
! [X0] :
( sQ113_spl
<=> ( c2_2(a88,X0)
| c3_2(a88,X0)
| c4_2(a88,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f645,plain,
! [X0] :
( ~ sQ113_spl
| c2_2(a88,X0)
| c3_2(a88,X0)
| c4_2(a88,X0) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ114_spl
<=> c4_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( sQ114_spl
| ~ c4_1(a88) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( ~ sQ77_spl
| ~ sQ74_spl
| ~ sQ114_spl
| sQ113_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f643,f481,f644,f647,f472,f484]) ).
fof(f651,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ113_spl
| c1_2(a88,a92)
| sP2_prd(a88)
| ~ c1_2(a88,X0)
| c5_2(a88,X0)
| ~ ndr1_1(a88)
| c2_2(a88,X0)
| c4_2(a88,X0) ),
inference(resolution,[status(thm)],[f645,f380]) ).
fof(f652,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| c5_2(a88,a92)
| sP2_prd(a88)
| ~ c1_2(a88,X0)
| c5_2(a88,X0)
| ~ ndr1_1(a88)
| c2_2(a88,X0)
| c4_2(a88,X0) ),
inference(resolution,[status(thm)],[f645,f384]) ).
fof(f653,definition,
! [X0] :
( sQ115_spl
<=> ( ~ c1_2(a88,X0)
| c5_2(a88,X0)
| c2_2(a88,X0)
| c4_2(a88,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f654,plain,
! [X0] :
( ~ sQ115_spl
| ~ c1_2(a88,X0)
| c5_2(a88,X0)
| c2_2(a88,X0)
| c4_2(a88,X0) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ116_spl
<=> sP2_prd(a88) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ116_spl
| sP2_prd(a88) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ117_spl
<=> c1_2(a88,a92) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ117_spl
| c1_2(a88,a92) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ52_spl
| ~ sQ113_spl
| sQ117_spl
| sQ116_spl
| ~ sQ76_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f651,f653,f481,f656,f659,f644,f379]) ).
fof(f663,definition,
( sQ118_spl
<=> c5_2(a88,a92) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ118_spl
| c5_2(a88,a92) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ118_spl
| sQ116_spl
| ~ sQ76_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f652,f653,f481,f656,f663,f644,f383]) ).
fof(f667,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ42_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c4_1(a97)
| ~ c1_1(a97)
| c1_2(a97,X0)
| ~ c5_2(a97,X0)
| ~ ndr1_1(a97) ),
inference(resolution,[status(thm)],[f339,f563]) ).
fof(f668,definition,
! [X0] :
( sQ119_spl
<=> ( c1_2(a97,X0)
| c2_2(a97,X0)
| c1_2(a97,X0)
| ~ c5_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f669,plain,
! [X0] :
( ~ sQ119_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c1_2(a97,X0)
| ~ c5_2(a97,X0) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ120_spl
<=> c1_1(a97) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( sQ120_spl
| ~ c1_1(a97) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ121_spl
<=> c4_1(a97) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ121_spl
| c4_1(a97) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ95_spl
| ~ sQ42_spl
| sQ121_spl
| ~ sQ120_spl
| sQ119_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f667,f537,f668,f671,f674,f338,f562]) ).
fof(f678,plain,
! [X0] :
( ~ sQ119_spl
| c2_2(a97,X0)
| c1_2(a97,X0)
| ~ c5_2(a97,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f669]) ).
fof(f679,plain,
( ~ sQ2_spl
| c1_2(a70,a91)
| c4_2(a70,a91)
| c2_2(a70,a91)
| sP2_prd(a70) ),
inference(resolution,[status(thm)],[f175,f122]) ).
fof(f680,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ2_spl
| sP0_prd(a70)
| c1_1(a70)
| c2_2(a70,X0)
| c4_2(a70,X0) ),
inference(resolution,[status(thm)],[f175,f293]) ).
fof(f681,definition,
( sQ122_spl
<=> sP2_prd(a70) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ122_spl
| sP2_prd(a70) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ123_spl
<=> c2_2(a70,a91) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ123_spl
| c2_2(a70,a91) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ124_spl
<=> c4_2(a70,a91) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ124_spl
| c4_2(a70,a91) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ125_spl
<=> c1_2(a70,a91) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ125_spl
| c1_2(a70,a91) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ2_spl
| sQ125_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f679,f681,f684,f687,f690,f174]) ).
fof(f694,definition,
! [X0] :
( sQ126_spl
<=> ( c2_2(a70,X0)
| c4_2(a70,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f695,plain,
! [X0] :
( ~ sQ126_spl
| c2_2(a70,X0)
| c4_2(a70,X0) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,definition,
( sQ127_spl
<=> c1_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ127_spl
| c1_1(a70) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ128_spl
<=> sP0_prd(a70) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ128_spl
| sP0_prd(a70) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ128_spl
| ~ sP0_prd(a70) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ31_spl
| ~ sQ2_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f680,f694,f697,f700,f174,f292]) ).
fof(f704,plain,
( ~ sQ126_spl
| ~ sP2_prd(a70)
| c4_2(a70,a91) ),
inference(resolution,[status(thm)],[f695,f119]) ).
fof(f705,plain,
( ~ sQ126_spl
| ~ sQ122_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f704,f687,f681,f694]) ).
fof(f706,plain,
( ~ sQ35_spl
| c1_2(a82,a91)
| c4_2(a82,a91)
| c2_2(a82,a91)
| sP2_prd(a82) ),
inference(resolution,[status(thm)],[f310,f122]) ).
fof(f707,definition,
( sQ129_spl
<=> sP2_prd(a82) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ129_spl
| sP2_prd(a82) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ130_spl
<=> c2_2(a82,a91) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ130_spl
| c2_2(a82,a91) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ131_spl
<=> c4_2(a82,a91) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ131_spl
| c4_2(a82,a91) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,definition,
( sQ132_spl
<=> c1_2(a82,a91) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ132_spl
| c1_2(a82,a91) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( ~ sQ35_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f706,f707,f710,f713,f716,f309]) ).
fof(f720,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ41_spl
| c1_2(a82,X0)
| c4_2(a82,X0)
| ~ ndr1_1(a82) ),
inference(resolution,[status(thm)],[f335,f260]) ).
fof(f721,definition,
! [X0] :
( sQ133_spl
<=> ( c1_2(a82,X0)
| c4_2(a82,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f722,plain,
! [X0] :
( ~ sQ133_spl
| c1_2(a82,X0)
| c4_2(a82,X0) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ sQ23_spl
| ~ sQ41_spl
| sQ133_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f720,f309,f721,f334,f259]) ).
fof(f725,plain,
( ~ sQ133_spl
| ~ sP2_prd(a82)
| c4_2(a82,a91) ),
inference(resolution,[status(thm)],[f722,f121]) ).
fof(f727,plain,
( ~ sQ133_spl
| ~ sQ129_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f725,f713,f707,f721]) ).
fof(f731,definition,
( sQ135_spl
<=> sP0_prd(a82) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ135_spl
| sP0_prd(a82) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f738,plain,
( ~ sQ89_spl
| c1_2(a97,a91)
| c4_2(a97,a91)
| c2_2(a97,a91)
| sP2_prd(a97) ),
inference(resolution,[status(thm)],[f538,f122]) ).
fof(f739,definition,
( sQ137_spl
<=> c2_2(a97,a91) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ137_spl
| c2_2(a97,a91) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ138_spl
<=> c4_2(a97,a91) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ138_spl
| c4_2(a97,a91) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ139_spl
<=> c1_2(a97,a91) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ139_spl
| c1_2(a97,a91) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ89_spl
| sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f738,f631,f739,f742,f745,f537]) ).
fof(f749,plain,
( ~ sQ110_spl
| ndr1_1(a97) ),
inference(resolution,[status(thm)],[f632,f118]) ).
fof(f750,plain,
( ~ sQ116_spl
| ndr1_1(a88) ),
inference(resolution,[status(thm)],[f657,f118]) ).
fof(f751,plain,
( ~ sQ83_spl
| c1_2(a93,a91)
| c4_2(a93,a91)
| c2_2(a93,a91)
| sP2_prd(a93) ),
inference(resolution,[status(thm)],[f512,f122]) ).
fof(f752,definition,
( sQ140_spl
<=> sP2_prd(a93) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ140_spl
| sP2_prd(a93) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ141_spl
<=> c2_2(a93,a91) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ141_spl
| c2_2(a93,a91) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ142_spl
<=> c4_2(a93,a91) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ142_spl
| c4_2(a93,a91) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ143_spl
<=> c1_2(a93,a91) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ143_spl
| c1_2(a93,a91) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( ~ sQ83_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f751,f752,f755,f758,f761,f511]) ).
fof(f765,plain,
( ~ sQ128_spl
| c1_2(a70,a81) ),
inference(resolution,[status(thm)],[f701,f100]) ).
fof(f766,plain,
( ~ sQ128_spl
| c4_2(a70,a81) ),
inference(resolution,[status(thm)],[f701,f99]) ).
fof(f767,plain,
( ~ sQ128_spl
| ndr1_1(a70) ),
inference(resolution,[status(thm)],[f701,f98]) ).
fof(f768,plain,
( ~ sQ104_spl
| ~ sQ101_spl
| c3_2(a101,sK3_skl)
| ~ c1_2(a101,sK3_skl) ),
inference(resolution,[status(thm)],[f588,f601]) ).
fof(f769,plain,
( ~ sQ106_spl
| ~ sQ101_spl
| c3_2(a101,sK2_skl)
| ~ c1_2(a101,sK2_skl) ),
inference(resolution,[status(thm)],[f588,f612]) ).
fof(f770,plain,
( ~ sQ104_spl
| ~ sQ101_spl
| sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f768,f592,f596,f587,f600]) ).
fof(f771,definition,
( sQ144_spl
<=> c1_2(a101,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( sQ144_spl
| ~ c1_2(a101,sK2_skl) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ145_spl
<=> c3_2(a101,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ145_spl
| c3_2(a101,sK2_skl) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( ~ sQ106_spl
| ~ sQ101_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f769,f771,f774,f587,f611]) ).
fof(f778,plain,
( sQ76_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f750]) ).
fof(f779,plain,
( sQ76_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( ~ sQ106_spl
| ~ sQ100_spl
| ~ c2_2(a101,sK2_skl) ),
inference(resolution,[status(thm)],[f584,f612]) ).
fof(f781,plain,
( ~ sQ106_spl
| ~ sQ100_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f605]) ).
fof(f782,plain,
( ~ sQ106_spl
| ~ sQ100_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f783,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ31_spl
| sP0_prd(a93)
| c1_1(a93)
| c2_2(a93,X0)
| c4_2(a93,X0) ),
inference(resolution,[status(thm)],[f293,f512]) ).
fof(f784,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ31_spl
| sP0_prd(a97)
| c1_1(a97)
| c2_2(a97,X0)
| c4_2(a97,X0) ),
inference(resolution,[status(thm)],[f293,f538]) ).
fof(f785,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ31_spl
| sP0_prd(a82)
| c1_1(a82)
| c2_2(a82,X0)
| c4_2(a82,X0) ),
inference(resolution,[status(thm)],[f293,f310]) ).
fof(f786,definition,
! [X0] :
( sQ146_spl
<=> ( c2_2(a93,X0)
| c4_2(a93,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f787,plain,
! [X0] :
( ~ sQ146_spl
| c2_2(a93,X0)
| c4_2(a93,X0) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ147_spl
<=> c1_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ147_spl
| c1_1(a93) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ148_spl
<=> sP0_prd(a93) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ148_spl
| sP0_prd(a93) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ83_spl
| ~ sQ31_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f783,f786,f789,f792,f292,f511]) ).
fof(f796,definition,
! [X0] :
( sQ149_spl
<=> ( c2_2(a97,X0)
| c4_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f797,plain,
! [X0] :
( ~ sQ149_spl
| c2_2(a97,X0)
| c4_2(a97,X0) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ150_spl
<=> sP0_prd(a97) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ150_spl
| sP0_prd(a97) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( ~ sQ89_spl
| ~ sQ31_spl
| sQ150_spl
| sQ120_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f784,f796,f671,f799,f292,f537]) ).
fof(f803,definition,
! [X0] :
( sQ151_spl
<=> ( c2_2(a82,X0)
| c4_2(a82,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f804,plain,
! [X0] :
( ~ sQ151_spl
| c2_2(a82,X0)
| c4_2(a82,X0) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| sQ135_spl
| sQ41_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f785,f803,f334,f731,f292,f309]) ).
fof(f807,plain,
( sQ38_spl
| ~ sQ151_spl
| c4_2(a82,a84) ),
inference(resolution,[status(thm)],[f804,f324]) ).
fof(f808,plain,
( ~ sQ151_spl
| ~ sP2_prd(a82)
| c4_2(a82,a91) ),
inference(resolution,[status(thm)],[f804,f119]) ).
fof(f809,plain,
( sQ38_spl
| ~ sQ151_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f328]) ).
fof(f810,plain,
( sQ38_spl
| ~ sQ151_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( ~ sQ149_spl
| ~ sP2_prd(a97)
| c4_2(a97,a91) ),
inference(resolution,[status(thm)],[f797,f119]) ).
fof(f812,plain,
( ~ sQ149_spl
| ~ sQ110_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f811,f742,f631,f796]) ).
fof(f813,plain,
( ~ sQ146_spl
| ~ sP2_prd(a93)
| c4_2(a93,a91) ),
inference(resolution,[status(thm)],[f787,f119]) ).
fof(f814,plain,
( ~ sQ146_spl
| ~ sQ140_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f813,f758,f752,f786]) ).
fof(f815,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ22_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| ~ c5_2(a97,X0)
| ~ c1_2(a97,X0)
| ~ ndr1_1(a97)
| c2_1(a97)
| c4_1(a97) ),
inference(resolution,[status(thm)],[f256,f563]) ).
fof(f816,definition,
( sQ152_spl
<=> c2_1(a97) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ152_spl
| c2_1(a97) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
! [X0] :
( sQ153_spl
<=> ( c1_2(a97,X0)
| c2_2(a97,X0)
| ~ c5_2(a97,X0)
| ~ c1_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ95_spl
| ~ sQ22_spl
| sQ153_spl
| ~ sQ89_spl
| sQ152_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f815,f674,f816,f537,f819,f255,f562]) ).
fof(f823,plain,
( ~ sQ95_spl
| sQ96_spl
| c1_2(a97,sK1_skl)
| c2_2(a97,sK1_skl) ),
inference(resolution,[status(thm)],[f569,f563]) ).
fof(f824,plain,
( ~ sQ95_spl
| sQ96_spl
| sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f823,f571,f575,f567,f562]) ).
fof(f825,plain,
( sQ2_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f767]) ).
fof(f826,plain,
( sQ2_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f831,plain,
( ~ sQ43_spl
| c1_2(a85,a91)
| c4_2(a85,a91)
| c2_2(a85,a91)
| sP2_prd(a85) ),
inference(resolution,[status(thm)],[f344,f122]) ).
fof(f832,definition,
( sQ154_spl
<=> sP2_prd(a85) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ154_spl
| sP2_prd(a85) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ154_spl
| ~ sP2_prd(a85) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ155_spl
<=> c2_2(a85,a91) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ155_spl
| c2_2(a85,a91) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ156_spl
<=> c4_2(a85,a91) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ156_spl
| c4_2(a85,a91) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
( sQ157_spl
<=> c1_2(a85,a91) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ157_spl
| c1_2(a85,a91) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ43_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f831,f832,f835,f838,f841,f343]) ).
fof(f845,plain,
( ~ sQ119_spl
| ~ sQ90_spl
| c2_2(a97,a98)
| c1_2(a97,a98) ),
inference(resolution,[status(thm)],[f542,f678]) ).
fof(f846,definition,
( sQ158_spl
<=> c1_2(a97,a98) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ158_spl
| c1_2(a97,a98) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ119_spl
| ~ sQ90_spl
| sQ91_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f845,f846,f545,f541,f668]) ).
fof(f850,plain,
( ~ sQ119_spl
| ~ sQ94_spl
| c2_2(a97,a99)
| c1_2(a97,a99) ),
inference(resolution,[status(thm)],[f559,f678]) ).
fof(f851,plain,
( ~ sQ119_spl
| ~ sQ94_spl
| sQ92_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f850,f554,f550,f558,f668]) ).
fof(f863,plain,
( ~ sQ25_spl
| c1_2(a77,a91)
| c4_2(a77,a91)
| c2_2(a77,a91)
| sP2_prd(a77) ),
inference(resolution,[status(thm)],[f268,f122]) ).
fof(f864,definition,
( sQ162_spl
<=> sP2_prd(a77) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ162_spl
| sP2_prd(a77) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( sQ162_spl
| ~ sP2_prd(a77) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ163_spl
<=> c2_2(a77,a91) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ163_spl
| c2_2(a77,a91) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ164_spl
<=> c4_2(a77,a91) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ164_spl
| c4_2(a77,a91) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ165_spl
<=> c1_2(a77,a91) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ165_spl
| c1_2(a77,a91) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( ~ sQ25_spl
| sQ165_spl
| sQ164_spl
| sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f863,f864,f867,f870,f873,f267]) ).
fof(f877,plain,
( ~ sQ14_spl
| c1_2(a74,a91)
| c4_2(a74,a91)
| c2_2(a74,a91)
| sP2_prd(a74) ),
inference(resolution,[status(thm)],[f224,f122]) ).
fof(f878,definition,
( sQ166_spl
<=> sP2_prd(a74) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ166_spl
| sP2_prd(a74) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f880,plain,
( sQ166_spl
| ~ sP2_prd(a74) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ167_spl
<=> c2_2(a74,a91) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ167_spl
| c2_2(a74,a91) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ168_spl
<=> c4_2(a74,a91) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ168_spl
| c4_2(a74,a91) ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
( sQ169_spl
<=> c1_2(a74,a91) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ169_spl
| c1_2(a74,a91) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( ~ sQ14_spl
| sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f877,f878,f881,f884,f887,f223]) ).
fof(f891,plain,
( ~ sQ135_spl
| c1_2(a82,a81) ),
inference(resolution,[status(thm)],[f732,f100]) ).
fof(f892,plain,
( ~ sQ135_spl
| c4_2(a82,a81) ),
inference(resolution,[status(thm)],[f732,f99]) ).
fof(f893,plain,
( ~ sQ135_spl
| ndr1_1(a82) ),
inference(resolution,[status(thm)],[f732,f98]) ).
fof(f894,plain,
( ~ sQ150_spl
| c1_2(a97,a81) ),
inference(resolution,[status(thm)],[f800,f100]) ).
fof(f895,plain,
( ~ sQ150_spl
| c4_2(a97,a81) ),
inference(resolution,[status(thm)],[f800,f99]) ).
fof(f896,plain,
( ~ sQ150_spl
| ndr1_1(a97) ),
inference(resolution,[status(thm)],[f800,f98]) ).
fof(f897,plain,
( ~ sQ148_spl
| c1_2(a93,a81) ),
inference(resolution,[status(thm)],[f793,f100]) ).
fof(f898,plain,
( ~ sQ148_spl
| c4_2(a93,a81) ),
inference(resolution,[status(thm)],[f793,f99]) ).
fof(f899,plain,
( ~ sQ148_spl
| ndr1_1(a93) ),
inference(resolution,[status(thm)],[f793,f98]) ).
fof(f902,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| c1_2(a77,a92)
| sP2_prd(a77)
| ~ c1_2(a77,a79)
| c5_2(a77,a79)
| ~ ndr1_1(a77) ),
inference(resolution,[status(thm)],[f289,f380]) ).
fof(f903,plain,
( ~ sQ53_spl
| ~ sQ30_spl
| c5_2(a77,a92)
| sP2_prd(a77)
| ~ c1_2(a77,a79)
| c5_2(a77,a79)
| ~ ndr1_1(a77) ),
inference(resolution,[status(thm)],[f289,f384]) ).
fof(f904,definition,
( sQ170_spl
<=> c1_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ170_spl
| ~ c1_2(a77,a79) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ171_spl
<=> c1_2(a77,a92) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ171_spl
| c1_2(a77,a92) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| sQ171_spl
| sQ162_spl
| ~ sQ170_spl
| sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f902,f267,f280,f904,f864,f907,f288,f379]) ).
fof(f911,definition,
( sQ172_spl
<=> c5_2(a77,a92) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ172_spl
| c5_2(a77,a92) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( ~ sQ53_spl
| ~ sQ30_spl
| sQ172_spl
| sQ162_spl
| ~ sQ170_spl
| sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f903,f267,f280,f904,f864,f911,f288,f383]) ).
fof(f915,plain,
( ~ sQ154_spl
| ndr1_1(a85) ),
inference(resolution,[status(thm)],[f833,f118]) ).
fof(f916,plain,
( ~ sQ162_spl
| ndr1_1(a77) ),
inference(resolution,[status(thm)],[f865,f118]) ).
fof(f917,plain,
( ~ sQ162_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f916,f267,f864]) ).
fof(f918,plain,
( ~ sQ166_spl
| ndr1_1(a74) ),
inference(resolution,[status(thm)],[f879,f118]) ).
fof(f919,plain,
( ~ sQ115_spl
| ~ sQ117_spl
| c5_2(a88,a92)
| c2_2(a88,a92)
| c4_2(a88,a92) ),
inference(resolution,[status(thm)],[f660,f654]) ).
fof(f920,definition,
( sQ173_spl
<=> c4_2(a88,a92) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( ~ sQ173_spl
| c4_2(a88,a92) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,definition,
( sQ174_spl
<=> c2_2(a88,a92) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ174_spl
| c2_2(a88,a92) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ115_spl
| ~ sQ117_spl
| sQ118_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f919,f920,f923,f663,f659,f653]) ).
fof(f927,plain,
( ~ sQ125_spl
| ~ sP2_prd(a70) ),
inference(resolution,[status(thm)],[f691,f121]) ).
fof(f928,plain,
( ~ sQ52_spl
| ~ sQ96_spl
| c1_2(a97,a92)
| sP2_prd(a97)
| ~ c1_2(a97,sK1_skl)
| c5_2(a97,sK1_skl)
| ~ ndr1_1(a97) ),
inference(resolution,[status(thm)],[f568,f380]) ).
fof(f929,plain,
( ~ sQ53_spl
| ~ sQ96_spl
| c5_2(a97,a92)
| sP2_prd(a97)
| ~ c1_2(a97,sK1_skl)
| c5_2(a97,sK1_skl)
| ~ ndr1_1(a97) ),
inference(resolution,[status(thm)],[f568,f384]) ).
fof(f930,definition,
( sQ175_spl
<=> c5_2(a97,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ175_spl
| c5_2(a97,sK1_skl) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( ~ sQ52_spl
| ~ sQ96_spl
| sQ112_spl
| sQ110_spl
| ~ sQ98_spl
| sQ175_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f928,f537,f930,f575,f631,f639,f567,f379]) ).
fof(f934,plain,
( ~ sQ53_spl
| ~ sQ96_spl
| sQ111_spl
| sQ110_spl
| ~ sQ98_spl
| sQ175_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f929,f537,f930,f575,f631,f634,f567,f383]) ).
fof(f939,plain,
( ~ sQ124_spl
| ~ sP2_prd(a70) ),
inference(resolution,[status(thm)],[f688,f120]) ).
fof(f940,plain,
( ~ sQ123_spl
| ~ sP2_prd(a70) ),
inference(resolution,[status(thm)],[f685,f119]) ).
fof(f941,plain,
( ~ sQ132_spl
| ~ sP2_prd(a82) ),
inference(resolution,[status(thm)],[f717,f121]) ).
fof(f942,plain,
( ~ sQ131_spl
| ~ sP2_prd(a82) ),
inference(resolution,[status(thm)],[f714,f120]) ).
fof(f943,plain,
( ~ sQ130_spl
| ~ sP2_prd(a82) ),
inference(resolution,[status(thm)],[f711,f119]) ).
fof(f944,plain,
( ~ sQ139_spl
| ~ sP2_prd(a97) ),
inference(resolution,[status(thm)],[f746,f121]) ).
fof(f945,plain,
( ~ sQ139_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f632]) ).
fof(f946,plain,
( ~ sQ139_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( ~ sQ138_spl
| ~ sP2_prd(a97) ),
inference(resolution,[status(thm)],[f743,f120]) ).
fof(f948,plain,
( ~ sQ137_spl
| ~ sP2_prd(a97) ),
inference(resolution,[status(thm)],[f740,f119]) ).
fof(f951,plain,
( ~ sQ143_spl
| ~ sP2_prd(a93) ),
inference(resolution,[status(thm)],[f762,f121]) ).
fof(f952,plain,
( ~ sQ142_spl
| ~ sP2_prd(a93) ),
inference(resolution,[status(thm)],[f759,f120]) ).
fof(f953,plain,
( ~ sQ141_spl
| ~ sP2_prd(a93) ),
inference(resolution,[status(thm)],[f756,f119]) ).
fof(f954,plain,
( ~ sQ157_spl
| ~ sP2_prd(a85) ),
inference(resolution,[status(thm)],[f842,f121]) ).
fof(f955,plain,
( ~ sQ157_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f833]) ).
fof(f956,plain,
( ~ sQ157_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f957,plain,
( ~ sQ156_spl
| ~ sP2_prd(a85) ),
inference(resolution,[status(thm)],[f839,f120]) ).
fof(f958,plain,
( ~ sQ155_spl
| ~ sP2_prd(a85) ),
inference(resolution,[status(thm)],[f836,f119]) ).
fof(f959,plain,
( ~ sQ165_spl
| ~ sP2_prd(a77) ),
inference(resolution,[status(thm)],[f874,f121]) ).
fof(f960,plain,
( ~ sQ164_spl
| ~ sP2_prd(a77) ),
inference(resolution,[status(thm)],[f871,f120]) ).
fof(f961,plain,
( ~ sQ163_spl
| ~ sP2_prd(a77) ),
inference(resolution,[status(thm)],[f868,f119]) ).
fof(f962,plain,
( ~ sQ169_spl
| ~ sP2_prd(a74) ),
inference(resolution,[status(thm)],[f888,f121]) ).
fof(f963,plain,
( ~ sQ169_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f879]) ).
fof(f964,plain,
( ~ sQ169_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f965,plain,
( ~ sQ168_spl
| ~ sP2_prd(a74) ),
inference(resolution,[status(thm)],[f885,f120]) ).
fof(f966,plain,
( ~ sQ167_spl
| ~ sP2_prd(a74) ),
inference(resolution,[status(thm)],[f882,f119]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| sQ21_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
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| ~ sQ59_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| sQ65_spl
| sQ66_spl
| sQ67_spl
| sQ68_spl
| sQ69_spl
| sQ71_spl
| ~ sQ72_spl
| sQ73_spl
| sQ76_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
| sQ98_spl
| ~ sQ101_spl
| sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| sQ112_spl
| ~ sQ114_spl
| sQ115_spl
| sQ116_spl
| sQ118_spl
| ~ sQ119_spl
| sQ121_spl
| sQ123_spl
| sQ124_spl
| sQ125_spl
| sQ127_spl
| ~ sQ128_spl
| sQ130_spl
| sQ131_spl
| sQ132_spl
| sQ135_spl
| sQ137_spl
| sQ138_spl
| sQ141_spl
| sQ142_spl
| sQ143_spl
| ~ sQ144_spl
| sQ145_spl
| sQ147_spl
| sQ148_spl
| sQ150_spl
| ~ sQ151_spl
| sQ152_spl
| sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| sQ156_spl
| sQ158_spl
| ~ sQ162_spl
| sQ163_spl
| sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| sQ167_spl
| sQ168_spl
| ~ sQ170_spl
| sQ171_spl
| sQ172_spl
| sQ173_spl
| sQ174_spl
| sQ175_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN521+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:06:47 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.13/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.058840 seconds
% 0.13/0.41 % CPU time: 0.179963 seconds
% 0.13/0.41 % Total memory used: 23.808 MB
% 0.13/0.41 % Net memory used: 23.695 MB
%------------------------------------------------------------------------------