%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN516+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:53 PM UTC 2026
% Result : CounterSatisfiable 0.16s 0.47s
% Output : Saturation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c1_0
| ( ~ c5_2(a48,a49)
& ~ c1_2(a48,a49)
& ndr1_1(a48)
& c4_1(a48)
& ndr1_0 )
| ( ~ c3_1(a47)
& ndr1_0 ) )
& ( ( ~ c3_1(a46)
& ndr1_0 )
| ~ c2_0 )
& ( ( c4_1(a44)
& c3_1(a44)
& ~ c2_2(a44,a45)
& ~ c4_2(a44,a45)
& c1_2(a44,a45)
& ndr1_1(a44)
& ndr1_0 )
| ( ~ c2_1(a43)
& ~ c5_1(a43)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a41)
& c4_2(a41,a42)
& ~ c3_2(a41,a42)
& c5_2(a41,a42)
& ndr1_1(a41)
& ndr1_0 )
| ( ! [X6] :
( ndr1_1(a39)
=> ( c1_2(a39,X6)
| ~ c5_2(a39,X6) ) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| c3_0 )
& ( ! [X5] :
( ndr1_0
=> ( c4_1(X5)
| ( c3_2(X5,a38)
& c1_2(X5,a38)
& ~ c5_2(X5,a38)
& ndr1_1(X5) )
| ~ c5_1(X5) ) )
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| ~ c4_0 )
& ( ! [X4] :
( ndr1_0
=> ( c4_1(X4)
| ( ~ c2_2(X4,a37)
& c3_2(X4,a37)
& c4_2(X4,a37)
& ndr1_1(X4) )
| c5_1(X4) ) )
| ! [X2] :
( ndr1_0
=> ( c5_1(X2)
| ! [X3] :
( ndr1_1(X2)
=> ( c2_2(X2,X3)
| c3_2(X2,X3) ) )
| ( c3_2(X2,a36)
& ~ c1_2(X2,a36)
& ~ c5_2(X2,a36)
& ndr1_1(X2) ) ) ) )
& ( ~ c1_0
| ~ c4_0
| ( ~ c1_1(a34)
& ~ c2_1(a34)
& ~ c4_2(a34,a35)
& ~ c5_2(a34,a35)
& c1_2(a34,a35)
& ndr1_1(a34)
& ndr1_0 ) )
& ( c5_0
| ( c1_1(a31)
& c2_2(a31,a33)
& ~ c5_2(a31,a33)
& ~ c4_2(a31,a33)
& ndr1_1(a31)
& c5_2(a31,a32)
& ~ c4_2(a31,a32)
& c3_2(a31,a32)
& ndr1_1(a31)
& ndr1_0 )
| ( c3_1(a30)
& ~ c1_1(a30)
& ndr1_0 ) )
& ( ! [Z] :
( ndr1_0
=> ( ! [X1] :
( ndr1_1(Z)
=> ( ~ c1_2(Z,X1)
| ~ c5_2(Z,X1)
| ~ c3_2(Z,X1) ) )
| ( c2_2(Z,a29)
& ~ c1_2(Z,a29)
& ndr1_1(Z) )
| c3_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( ( ~ c3_2(Y,a28)
& ~ c5_2(Y,a28)
& ndr1_1(Y) )
| c2_1(Y) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c4_1(W)
| ! [X] :
( ndr1_1(W)
=> ( c4_2(W,X)
| ~ c5_2(W,X)
| c2_2(W,X) ) ) ) )
| c1_0 )
& ( ! [U] :
( ndr1_0
=> ( ( c4_2(U,a27)
& ~ c5_2(U,a27)
& ~ c1_2(U,a27)
& ndr1_1(U) )
| ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| ~ c4_2(U,V)
| c3_2(U,V) ) ) ) )
| c5_0
| c4_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c1_0
| ( ~ c5_2(a48,a49)
& ~ c1_2(a48,a49)
& ndr1_1(a48)
& c4_1(a48)
& ndr1_0 )
| ( ~ c3_1(a47)
& ndr1_0 ) )
& ( ( ~ c3_1(a46)
& ndr1_0 )
| ~ c2_0 )
& ( ( c4_1(a44)
& c3_1(a44)
& ~ c2_2(a44,a45)
& ~ c4_2(a44,a45)
& c1_2(a44,a45)
& ndr1_1(a44)
& ndr1_0 )
| ( ~ c2_1(a43)
& ~ c5_1(a43)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a41)
& c4_2(a41,a42)
& ~ c3_2(a41,a42)
& c5_2(a41,a42)
& ndr1_1(a41)
& ndr1_0 )
| ( ! [X6] :
( ndr1_1(a39)
=> ( c1_2(a39,X6)
| ~ c5_2(a39,X6) ) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| c3_0 )
& ( ! [X5] :
( ndr1_0
=> ( c4_1(X5)
| ( c3_2(X5,a38)
& c1_2(X5,a38)
& ~ c5_2(X5,a38)
& ndr1_1(X5) )
| ~ c5_1(X5) ) )
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| ~ c4_0 )
& ( ! [X4] :
( ndr1_0
=> ( c4_1(X4)
| ( ~ c2_2(X4,a37)
& c3_2(X4,a37)
& c4_2(X4,a37)
& ndr1_1(X4) )
| c5_1(X4) ) )
| ! [X2] :
( ndr1_0
=> ( c5_1(X2)
| ! [X3] :
( ndr1_1(X2)
=> ( c2_2(X2,X3)
| c3_2(X2,X3) ) )
| ( c3_2(X2,a36)
& ~ c1_2(X2,a36)
& ~ c5_2(X2,a36)
& ndr1_1(X2) ) ) ) )
& ( ~ c1_0
| ~ c4_0
| ( ~ c1_1(a34)
& ~ c2_1(a34)
& ~ c4_2(a34,a35)
& ~ c5_2(a34,a35)
& c1_2(a34,a35)
& ndr1_1(a34)
& ndr1_0 ) )
& ( c5_0
| ( c1_1(a31)
& c2_2(a31,a33)
& ~ c5_2(a31,a33)
& ~ c4_2(a31,a33)
& ndr1_1(a31)
& c5_2(a31,a32)
& ~ c4_2(a31,a32)
& c3_2(a31,a32)
& ndr1_1(a31)
& ndr1_0 )
| ( c3_1(a30)
& ~ c1_1(a30)
& ndr1_0 ) )
& ( ! [Z] :
( ndr1_0
=> ( ! [X1] :
( ndr1_1(Z)
=> ( ~ c1_2(Z,X1)
| ~ c5_2(Z,X1)
| ~ c3_2(Z,X1) ) )
| ( c2_2(Z,a29)
& ~ c1_2(Z,a29)
& ndr1_1(Z) )
| c3_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( ( ~ c3_2(Y,a28)
& ~ c5_2(Y,a28)
& ndr1_1(Y) )
| c2_1(Y) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c4_1(W)
| ! [X] :
( ndr1_1(W)
=> ( c4_2(W,X)
| ~ c5_2(W,X)
| c2_2(W,X) ) ) ) )
| c1_0 )
& ( ! [U] :
( ndr1_0
=> ( ( c4_2(U,a27)
& ~ c5_2(U,a27)
& ~ c1_2(U,a27)
& ndr1_1(U) )
| ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| ~ c4_2(U,V)
| c3_2(U,V) ) ) ) )
| c5_0
| c4_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c1_0
| ( ~ c5_2(a48,a49)
& ~ c1_2(a48,a49)
& ndr1_1(a48)
& c4_1(a48)
& ndr1_0 )
| ( ~ c3_1(a47)
& ndr1_0 ) )
& ( ( ~ c3_1(a46)
& ndr1_0 )
| ~ c2_0 )
& ( ( c4_1(a44)
& c3_1(a44)
& ~ c2_2(a44,a45)
& ~ c4_2(a44,a45)
& c1_2(a44,a45)
& ndr1_1(a44)
& ndr1_0 )
| ( ~ c2_1(a43)
& ~ c5_1(a43)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a41)
& c4_2(a41,a42)
& ~ c3_2(a41,a42)
& c5_2(a41,a42)
& ndr1_1(a41)
& ndr1_0 )
| ( ! [X6] :
( c1_2(a39,X6)
| ~ c5_2(a39,X6)
| ~ ndr1_1(a39) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| c3_0 )
& ( ! [X5] :
( c4_1(X5)
| ( c3_2(X5,a38)
& c1_2(X5,a38)
& ~ c5_2(X5,a38)
& ndr1_1(X5) )
| ~ c5_1(X5)
| ~ ndr1_0 )
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| ~ c4_0 )
& ( ! [X4] :
( c4_1(X4)
| ( ~ c2_2(X4,a37)
& c3_2(X4,a37)
& c4_2(X4,a37)
& ndr1_1(X4) )
| c5_1(X4)
| ~ ndr1_0 )
| ! [X2] :
( c5_1(X2)
| ! [X3] :
( c2_2(X2,X3)
| c3_2(X2,X3)
| ~ ndr1_1(X2) )
| ( c3_2(X2,a36)
& ~ c1_2(X2,a36)
& ~ c5_2(X2,a36)
& ndr1_1(X2) )
| ~ ndr1_0 ) )
& ( ~ c1_0
| ~ c4_0
| ( ~ c1_1(a34)
& ~ c2_1(a34)
& ~ c4_2(a34,a35)
& ~ c5_2(a34,a35)
& c1_2(a34,a35)
& ndr1_1(a34)
& ndr1_0 ) )
& ( c5_0
| ( c1_1(a31)
& c2_2(a31,a33)
& ~ c5_2(a31,a33)
& ~ c4_2(a31,a33)
& ndr1_1(a31)
& c5_2(a31,a32)
& ~ c4_2(a31,a32)
& c3_2(a31,a32)
& ndr1_1(a31)
& ndr1_0 )
| ( c3_1(a30)
& ~ c1_1(a30)
& ndr1_0 ) )
& ( ! [Z] :
( ! [X1] :
( ~ c1_2(Z,X1)
| ~ c5_2(Z,X1)
| ~ c3_2(Z,X1)
| ~ ndr1_1(Z) )
| ( c2_2(Z,a29)
& ~ c1_2(Z,a29)
& ndr1_1(Z) )
| c3_1(Z)
| ~ ndr1_0 )
| ! [Y] :
( ( ~ c3_2(Y,a28)
& ~ c5_2(Y,a28)
& ndr1_1(Y) )
| c2_1(Y)
| ~ ndr1_0 ) )
& ( ! [W] :
( ~ c4_1(W)
| ! [X] :
( c4_2(W,X)
| ~ c5_2(W,X)
| c2_2(W,X)
| ~ ndr1_1(W) )
| ~ ndr1_0 )
| c1_0 )
& ( ! [U] :
( ( c4_2(U,a27)
& ~ c5_2(U,a27)
& ~ c1_2(U,a27)
& ndr1_1(U) )
| ! [V] :
( c5_2(U,V)
| ~ c4_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| ~ ndr1_0 )
| c5_0
| c4_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( c3_1(a30)
& ~ c1_1(a30)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ! [X6] :
( c1_2(a39,X6)
| ~ c5_2(a39,X6)
| ~ ndr1_1(a39) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ~ c2_1(a43)
& ~ c5_1(a43)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ~ c3_1(a47)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,plain,
( ( c1_0
| ( ~ c5_2(a48,a49)
& ~ c1_2(a48,a49)
& ndr1_1(a48)
& c4_1(a48)
& ndr1_0 )
| sP3_prd )
& ( ( ~ c3_1(a46)
& ndr1_0 )
| ~ c2_0 )
& ( ( c4_1(a44)
& c3_1(a44)
& ~ c2_2(a44,a45)
& ~ c4_2(a44,a45)
& c1_2(a44,a45)
& ndr1_1(a44)
& ndr1_0 )
| sP2_prd
| ~ c5_0 )
& ( ( ~ c2_1(a41)
& c4_2(a41,a42)
& ~ c3_2(a41,a42)
& c5_2(a41,a42)
& ndr1_1(a41)
& ndr1_0 )
| sP1_prd
| c3_0 )
& ( ! [X5] :
( c4_1(X5)
| ( c3_2(X5,a38)
& c1_2(X5,a38)
& ~ c5_2(X5,a38)
& ndr1_1(X5) )
| ~ c5_1(X5)
| ~ ndr1_0 )
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| ~ c4_0 )
& ( ! [X4] :
( c4_1(X4)
| ( ~ c2_2(X4,a37)
& c3_2(X4,a37)
& c4_2(X4,a37)
& ndr1_1(X4) )
| c5_1(X4)
| ~ ndr1_0 )
| ! [X2] :
( c5_1(X2)
| ! [X3] :
( c2_2(X2,X3)
| c3_2(X2,X3)
| ~ ndr1_1(X2) )
| ( c3_2(X2,a36)
& ~ c1_2(X2,a36)
& ~ c5_2(X2,a36)
& ndr1_1(X2) )
| ~ ndr1_0 ) )
& ( ~ c1_0
| ~ c4_0
| ( ~ c1_1(a34)
& ~ c2_1(a34)
& ~ c4_2(a34,a35)
& ~ c5_2(a34,a35)
& c1_2(a34,a35)
& ndr1_1(a34)
& ndr1_0 ) )
& ( c5_0
| ( c1_1(a31)
& c2_2(a31,a33)
& ~ c5_2(a31,a33)
& ~ c4_2(a31,a33)
& ndr1_1(a31)
& c5_2(a31,a32)
& ~ c4_2(a31,a32)
& c3_2(a31,a32)
& ndr1_1(a31)
& ndr1_0 )
| sP0_prd )
& ( ! [Z] :
( ! [X1] :
( ~ c1_2(Z,X1)
| ~ c5_2(Z,X1)
| ~ c3_2(Z,X1)
| ~ ndr1_1(Z) )
| ( c2_2(Z,a29)
& ~ c1_2(Z,a29)
& ndr1_1(Z) )
| c3_1(Z)
| ~ ndr1_0 )
| ! [Y] :
( ( ~ c3_2(Y,a28)
& ~ c5_2(Y,a28)
& ndr1_1(Y) )
| c2_1(Y)
| ~ ndr1_0 ) )
& ( ! [W] :
( ~ c4_1(W)
| ! [X] :
( c4_2(W,X)
| ~ c5_2(W,X)
| c2_2(W,X)
| ~ ndr1_1(W) )
| ~ ndr1_0 )
| c1_0 )
& ( ! [U] :
( ( c4_2(U,a27)
& ~ c5_2(U,a27)
& ~ c1_2(U,a27)
& ndr1_1(U) )
| ! [V] :
( c5_2(U,V)
| ~ c4_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| ~ ndr1_0 )
| c5_0
| c4_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ( c1_0
| ( ~ c5_2(a48,a49)
& ~ c1_2(a48,a49)
& ndr1_1(a48)
& c4_1(a48)
& ndr1_0 )
| sP3_prd )
& ( ( ~ c3_1(a46)
& ndr1_0 )
| ~ c2_0 )
& ( ( c4_1(a44)
& c3_1(a44)
& ~ c2_2(a44,a45)
& ~ c4_2(a44,a45)
& c1_2(a44,a45)
& ndr1_1(a44)
& ndr1_0 )
| sP2_prd
| ~ c5_0 )
& ( ( ~ c2_1(a41)
& c4_2(a41,a42)
& ~ c3_2(a41,a42)
& c5_2(a41,a42)
& ndr1_1(a41)
& ndr1_0 )
| sP1_prd
| c3_0 )
& ( ! [X5] :
( c4_1(X5)
| ( c3_2(X5,a38)
& c1_2(X5,a38)
& ~ c5_2(X5,a38)
& ndr1_1(X5) )
| ~ c5_1(X5) )
| ~ ndr1_0
| ~ c3_0 )
& ( c5_0
| ~ c2_0
| ~ c4_0 )
& ( ! [X4] :
( c4_1(X4)
| ( ~ c2_2(X4,a37)
& c3_2(X4,a37)
& c4_2(X4,a37)
& ndr1_1(X4) )
| c5_1(X4) )
| ~ ndr1_0
| ! [X2] :
( c5_1(X2)
| ! [X3] :
( c2_2(X2,X3)
| c3_2(X2,X3) )
| ~ ndr1_1(X2)
| ( c3_2(X2,a36)
& ~ c1_2(X2,a36)
& ~ c5_2(X2,a36)
& ndr1_1(X2) ) )
| ~ ndr1_0 )
& ( ~ c1_0
| ~ c4_0
| ( ~ c1_1(a34)
& ~ c2_1(a34)
& ~ c4_2(a34,a35)
& ~ c5_2(a34,a35)
& c1_2(a34,a35)
& ndr1_1(a34)
& ndr1_0 ) )
& ( c5_0
| ( c1_1(a31)
& c2_2(a31,a33)
& ~ c5_2(a31,a33)
& ~ c4_2(a31,a33)
& ndr1_1(a31)
& c5_2(a31,a32)
& ~ c4_2(a31,a32)
& c3_2(a31,a32)
& ndr1_1(a31)
& ndr1_0 )
| sP0_prd )
& ( ! [Z] :
( ! [X1] :
( ~ c1_2(Z,X1)
| ~ c5_2(Z,X1)
| ~ c3_2(Z,X1) )
| ~ ndr1_1(Z)
| ( c2_2(Z,a29)
& ~ c1_2(Z,a29)
& ndr1_1(Z) )
| c3_1(Z) )
| ~ ndr1_0
| ! [Y] :
( ( ~ c3_2(Y,a28)
& ~ c5_2(Y,a28)
& ndr1_1(Y) )
| c2_1(Y) )
| ~ ndr1_0 )
& ( ! [W] :
( ~ c4_1(W)
| ! [X] :
( c4_2(W,X)
| ~ c5_2(W,X)
| c2_2(W,X) )
| ~ ndr1_1(W) )
| ~ ndr1_0
| c1_0 )
& ( ! [U] :
( ( c4_2(U,a27)
& ~ c5_2(U,a27)
& ~ c1_2(U,a27)
& ndr1_1(U) )
| ! [V] :
( c5_2(U,V)
| ~ c4_2(U,V)
| c3_2(U,V) )
| ~ ndr1_1(U) )
| ~ ndr1_0
| c5_0
| c4_0 ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ndr1_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c1_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( ~ c5_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f13,plain,
! [X0,X1] :
( c4_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c4_1(X0)
| c4_2(X0,X1)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ndr1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| c2_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ndr1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c5_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ~ c5_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| c2_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ~ c5_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ndr1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| c2_2(X1,a29)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_2(X0,a28)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
( c5_0
| ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
( c5_0
| ndr1_1(a31)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( c5_0
| c3_2(a31,a32)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
( c5_0
| ~ c4_2(a31,a32)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
( c5_0
| c5_2(a31,a32)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
( c5_0
| ~ c4_2(a31,a33)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( c5_0
| ~ c5_2(a31,a33)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
( c5_0
| c2_2(a31,a33)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
( c5_0
| c1_1(a31)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
( ~ c1_0
| ~ c4_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( ~ c1_0
| ~ c4_0
| ndr1_1(a34) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( ~ c1_0
| ~ c4_0
| c1_2(a34,a35) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
( ~ c1_0
| ~ c4_0
| ~ c5_2(a34,a35) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( ~ c1_0
| ~ c4_0
| ~ c4_2(a34,a35) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
( ~ c1_0
| ~ c4_0
| ~ c2_1(a34) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
( ~ c1_0
| ~ c4_0
| ~ c1_1(a34) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ndr1_1(X2)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c4_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c3_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ~ c2_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ndr1_1(X2)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c4_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c3_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f48,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ~ c2_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ndr1_1(X2)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c4_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c3_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ~ c2_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f53,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ndr1_1(X2)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c4_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f55,plain,
! [X0,X1,X2] :
( c4_1(X2)
| c3_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f56,plain,
! [X0,X1,X2] :
( c4_1(X2)
| ~ c2_2(X2,a37)
| c5_1(X2)
| ~ ndr1_0
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f57,plain,
( c5_0
| ~ c2_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
! [X0] :
( c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f59,plain,
! [X0] :
( c4_1(X0)
| ~ c5_2(X0,a38)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f60,plain,
! [X0] :
( c4_1(X0)
| c1_2(X0,a38)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
! [X0] :
( c4_1(X0)
| c3_2(X0,a38)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( ndr1_0
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f63,plain,
( ndr1_1(a41)
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( c5_2(a41,a42)
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
( ~ c3_2(a41,a42)
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f66,plain,
( c4_2(a41,a42)
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
( ~ c2_1(a41)
| sP1_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
( ndr1_0
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
( ndr1_1(a44)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f70,plain,
( c1_2(a44,a45)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f71,plain,
( ~ c4_2(a44,a45)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f72,plain,
( ~ c2_2(a44,a45)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f73,plain,
( c3_1(a44)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
( c4_1(a44)
| sP2_prd
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f75,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f76,plain,
( ~ c3_1(a46)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f77,plain,
( c1_0
| ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
( c1_0
| c4_1(a48)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f79,plain,
( c1_0
| ndr1_1(a48)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
( c1_0
| ~ c1_2(a48,a49)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f81,plain,
( c1_0
| ~ c5_2(a48,a49)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f82,plain,
( ( ~ c3_1(a30)
| c1_1(a30)
| ~ ndr1_0
| sP0_prd )
& ( ( c3_1(a30)
& ~ c1_1(a30)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f83,plain,
( ndr1_0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
( ~ c1_1(a30)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f85,plain,
( c3_1(a30)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f86,plain,
( ~ c3_1(a30)
| c1_1(a30)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f87,plain,
( ( ? [X6] :
( ~ c1_2(a39,X6)
& c5_2(a39,X6)
& ndr1_1(a39) )
| ~ c2_1(a39)
| ~ c2_2(a39,a40)
| ~ c1_2(a39,a40)
| ~ ndr1_1(a39)
| ~ ndr1_0
| sP1_prd )
& ( ( ! [X6] :
( c1_2(a39,X6)
| ~ c5_2(a39,X6)
| ~ ndr1_1(a39) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f88,plain,
( ( ( ? [X6] :
( ~ c1_2(a39,X6)
& c5_2(a39,X6) )
& ndr1_1(a39) )
| ~ c2_1(a39)
| ~ c2_2(a39,a40)
| ~ c1_2(a39,a40)
| ~ ndr1_1(a39)
| ~ ndr1_0
| sP1_prd )
& ( ( ( ! [X6] :
( c1_2(a39,X6)
| ~ c5_2(a39,X6) )
| ~ ndr1_1(a39) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f89,plain,
( ( ( ~ c1_2(a39,sK0_skl)
& c5_2(a39,sK0_skl)
& ndr1_1(a39) )
| ~ c2_1(a39)
| ~ c2_2(a39,a40)
| ~ c1_2(a39,a40)
| ~ ndr1_1(a39)
| ~ ndr1_0
| sP1_prd )
& ( ( ( ! [X6] :
( c1_2(a39,X6)
| ~ c5_2(a39,X6) )
| ~ ndr1_1(a39) )
& c2_1(a39)
& c2_2(a39,a40)
& c1_2(a39,a40)
& ndr1_1(a39)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X6,sK0_skl)],[f88]) ).
fof(f90,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
( ndr1_1(a39)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f92,plain,
( c1_2(a39,a40)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f93,plain,
( c2_2(a39,a40)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f94,plain,
( c2_1(a39)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f95,plain,
! [X0] :
( c1_2(a39,X0)
| ~ c5_2(a39,X0)
| ~ ndr1_1(a39)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f97,plain,
( c5_2(a39,sK0_skl)
| ~ c2_1(a39)
| ~ c2_2(a39,a40)
| ~ c1_2(a39,a40)
| ~ ndr1_1(a39)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f98,plain,
( ~ c1_2(a39,sK0_skl)
| ~ c2_1(a39)
| ~ c2_2(a39,a40)
| ~ c1_2(a39,a40)
| ~ ndr1_1(a39)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f99,plain,
( ( c2_1(a43)
| c5_1(a43)
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c2_1(a43)
& ~ c5_1(a43)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f100,plain,
( ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ c5_1(a43)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,plain,
( ~ c2_1(a43)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f103,plain,
( c2_1(a43)
| c5_1(a43)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f104,plain,
( ( c3_1(a47)
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c3_1(a47)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f105,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
( ~ c3_1(a47)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f107,plain,
( c3_1(a47)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f108,definition,
( sQ0_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ0_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ1_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ1_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ2_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ2_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
! [X0,X1] :
( sQ3_spl
<=> ( ndr1_1(X0)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f108,f111,f114,f117]) ).
fof(f121,definition,
! [X0,X1] :
( sQ4_spl
<=> ( ~ c1_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ4_spl
| ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f108,f111,f114,f121]) ).
fof(f125,definition,
! [X0,X1] :
( sQ5_spl
<=> ( ~ c5_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ5_spl
| ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f108,f111,f114,f125]) ).
fof(f129,definition,
! [X0,X1] :
( sQ6_spl
<=> ( c4_2(X0,a27)
| c5_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ6_spl
| ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f108,f111,f114,f129]) ).
fof(f133,definition,
( sQ7_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X0,X1] :
( sQ8_spl
<=> ( ~ c4_1(X0)
| c4_2(X0,X1)
| ~ c5_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ8_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f14,f133,f114,f136]) ).
fof(f140,definition,
! [X0] :
( sQ9_spl
<=> ( ndr1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f141,plain,
! [X0] :
( ~ sQ9_spl
| ndr1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
! [X1,X2] :
( sQ10_spl
<=> ( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ndr1_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ10_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f15,f114,f140,f143]) ).
fof(f147,definition,
! [X1,X2] :
( sQ11_spl
<=> ( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,a29)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ11_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f16,f114,f140,f147]) ).
fof(f151,definition,
! [X1,X2] :
( sQ12_spl
<=> ( ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| c2_2(X1,a29)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ12_spl
| sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f17,f114,f140,f151]) ).
fof(f155,definition,
! [X0] :
( sQ13_spl
<=> ( ~ c5_2(X0,a28)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f156,plain,
! [X0] :
( ~ sQ13_spl
| ~ c5_2(X0,a28)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ10_spl
| sQ13_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f18,f114,f155,f143]) ).
fof(f159,plain,
( sQ11_spl
| sQ13_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f19,f114,f155,f147]) ).
fof(f160,plain,
( sQ12_spl
| sQ13_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f20,f114,f155,f151]) ).
fof(f161,definition,
! [X0] :
( sQ14_spl
<=> ( ~ c3_2(X0,a28)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f162,plain,
! [X0] :
( ~ sQ14_spl
| ~ c3_2(X0,a28)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ10_spl
| sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f21,f114,f161,f143]) ).
fof(f165,plain,
( sQ11_spl
| sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f22,f114,f161,f147]) ).
fof(f166,plain,
( sQ12_spl
| sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f23,f114,f161,f151]) ).
fof(f167,definition,
( sQ15_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ15_spl
| ~ sP0_prd ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ1_spl
| sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f24,f167,f114,f111]) ).
fof(f171,definition,
( sQ16_spl
<=> ndr1_1(a31) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ1_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f25,f167,f171,f111]) ).
fof(f175,definition,
( sQ17_spl
<=> c3_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ1_spl
| sQ17_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f26,f167,f175,f111]) ).
fof(f179,definition,
( sQ18_spl
<=> c4_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ1_spl
| ~ sQ18_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f27,f167,f179,f111]) ).
fof(f183,definition,
( sQ19_spl
<=> c5_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ1_spl
| sQ19_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f28,f167,f183,f111]) ).
fof(f188,definition,
( sQ20_spl
<=> c4_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ1_spl
| ~ sQ20_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f30,f167,f188,f111]) ).
fof(f192,definition,
( sQ21_spl
<=> c5_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ1_spl
| ~ sQ21_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f31,f167,f192,f111]) ).
fof(f196,definition,
( sQ22_spl
<=> c2_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ1_spl
| sQ22_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f32,f167,f196,f111]) ).
fof(f200,definition,
( sQ23_spl
<=> c1_1(a31) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( sQ1_spl
| sQ23_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f33,f167,f200,f111]) ).
fof(f204,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f34,f114,f108,f133]) ).
fof(f205,definition,
( sQ24_spl
<=> ndr1_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f35,f205,f108,f133]) ).
fof(f209,definition,
( sQ25_spl
<=> c1_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f36,f209,f108,f133]) ).
fof(f213,definition,
( sQ26_spl
<=> c5_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f37,f213,f108,f133]) ).
fof(f217,definition,
( sQ27_spl
<=> c4_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f38,f217,f108,f133]) ).
fof(f221,definition,
( sQ28_spl
<=> c2_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f39,f221,f108,f133]) ).
fof(f225,definition,
( sQ29_spl
<=> c1_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f40,f225,f108,f133]) ).
fof(f229,definition,
! [X0,X1] :
( sQ30_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f232,definition,
! [X2] :
( sQ31_spl
<=> ( c4_1(X2)
| ndr1_1(X2)
| c5_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f233,plain,
! [X0] :
( ~ sQ31_spl
| c4_1(X0)
| ndr1_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ31_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f114,f229,f232]) ).
fof(f236,definition,
! [X2] :
( sQ32_spl
<=> ( c4_1(X2)
| c4_2(X2,a37)
| c5_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ32_spl
| c4_1(X0)
| c4_2(X0,a37)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ32_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f42,f114,f229,f236]) ).
fof(f240,definition,
! [X2] :
( sQ33_spl
<=> ( c4_1(X2)
| c3_2(X2,a37)
| c5_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f241,plain,
! [X0] :
( ~ sQ33_spl
| c4_1(X0)
| c3_2(X0,a37)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ33_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f43,f114,f229,f240]) ).
fof(f244,definition,
! [X2] :
( sQ34_spl
<=> ( c4_1(X2)
| ~ c2_2(X2,a37)
| c5_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ34_spl
| c4_1(X0)
| ~ c2_2(X0,a37)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ34_spl
| sQ30_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f44,f114,f229,f244]) ).
fof(f248,definition,
! [X0,X1] :
( sQ35_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sQ35_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,a36) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ31_spl
| sQ35_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f45,f114,f248,f232]) ).
fof(f252,plain,
( sQ32_spl
| sQ35_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f46,f114,f248,f236]) ).
fof(f253,plain,
( sQ33_spl
| sQ35_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f47,f114,f248,f240]) ).
fof(f254,plain,
( sQ34_spl
| sQ35_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f48,f114,f248,f244]) ).
fof(f255,definition,
! [X0,X1] :
( sQ36_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0,X1] :
( ~ sQ36_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a36) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ31_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f49,f114,f255,f232]) ).
fof(f259,plain,
( sQ32_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f114,f255,f236]) ).
fof(f260,plain,
( sQ33_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f114,f255,f240]) ).
fof(f261,plain,
( sQ34_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f52,f114,f255,f244]) ).
fof(f262,definition,
! [X0,X1] :
( sQ37_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f263,plain,
! [X0,X1] :
( ~ sQ37_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a36) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ31_spl
| sQ37_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f53,f114,f262,f232]) ).
fof(f266,plain,
( sQ32_spl
| sQ37_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f54,f114,f262,f236]) ).
fof(f267,plain,
( sQ33_spl
| sQ37_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f55,f114,f262,f240]) ).
fof(f268,plain,
( sQ34_spl
| sQ37_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f56,f114,f262,f244]) ).
fof(f269,definition,
( sQ38_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ38_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ1_spl
| ~ sQ38_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f108,f269,f111]) ).
fof(f273,definition,
( sQ39_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( sQ39_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
! [X0] :
( sQ40_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ40_spl
| ~ sQ2_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f58,f273,f114,f276]) ).
fof(f280,definition,
! [X0] :
( sQ41_spl
<=> ( c4_1(X0)
| ~ c5_2(X0,a38)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ41_spl
| ~ sQ2_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f59,f273,f114,f280]) ).
fof(f284,definition,
! [X0] :
( sQ42_spl
<=> ( c4_1(X0)
| c1_2(X0,a38)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ42_spl
| ~ sQ2_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f60,f273,f114,f284]) ).
fof(f288,definition,
! [X0] :
( sQ43_spl
<=> ( c4_1(X0)
| c3_2(X0,a38)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ43_spl
| ~ sQ2_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f61,f273,f114,f288]) ).
fof(f292,definition,
( sQ44_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ44_spl
| sP1_prd ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ2_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f62,f273,f292,f114]) ).
fof(f296,definition,
( sQ45_spl
<=> ndr1_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ45_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f63,f273,f292,f296]) ).
fof(f300,definition,
( sQ46_spl
<=> c5_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ46_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f64,f273,f292,f300]) ).
fof(f304,definition,
( sQ47_spl
<=> c3_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ47_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f65,f273,f292,f304]) ).
fof(f308,definition,
( sQ48_spl
<=> c4_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ48_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f66,f273,f292,f308]) ).
fof(f312,definition,
( sQ49_spl
<=> c2_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ49_spl
| sQ44_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f67,f273,f292,f312]) ).
fof(f316,definition,
( sQ50_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ50_spl
| sP2_prd ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ2_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f68,f111,f316,f114]) ).
fof(f320,definition,
( sQ51_spl
<=> ndr1_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ51_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f69,f111,f316,f320]) ).
fof(f324,definition,
( sQ52_spl
<=> c1_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ52_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f70,f111,f316,f324]) ).
fof(f328,definition,
( sQ53_spl
<=> c4_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ53_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f71,f111,f316,f328]) ).
fof(f332,definition,
( sQ54_spl
<=> c2_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ54_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f72,f111,f316,f332]) ).
fof(f336,definition,
( sQ55_spl
<=> c3_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ55_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f73,f111,f316,f336]) ).
fof(f340,definition,
( sQ56_spl
<=> c4_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( sQ56_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f74,f111,f316,f340]) ).
fof(f344,plain,
( sQ2_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f75,f269,f114]) ).
fof(f345,definition,
( sQ57_spl
<=> c3_1(a46) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ57_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f76,f269,f345]) ).
fof(f349,definition,
( sQ58_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ58_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ58_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ7_spl
| sQ2_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f77,f349,f114,f133]) ).
fof(f353,definition,
( sQ59_spl
<=> c4_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ7_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f78,f349,f353,f133]) ).
fof(f357,definition,
( sQ60_spl
<=> ndr1_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ7_spl
| sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f79,f349,f357,f133]) ).
fof(f361,definition,
( sQ61_spl
<=> c1_2(a48,a49) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ7_spl
| ~ sQ61_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f80,f349,f361,f133]) ).
fof(f365,definition,
( sQ62_spl
<=> c5_2(a48,a49) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ7_spl
| ~ sQ62_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f81,f349,f365,f133]) ).
fof(f369,plain,
( sQ2_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f83,f167,f114]) ).
fof(f370,definition,
( sQ63_spl
<=> c1_1(a30) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ63_spl
| c1_1(a30) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f84,f167,f370]) ).
fof(f374,definition,
( sQ64_spl
<=> c3_1(a30) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ64_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f85,f167,f374]) ).
fof(f378,plain,
( ~ sQ64_spl
| sQ63_spl
| ~ sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f86,f167,f114,f370,f374]) ).
fof(f379,plain,
( sQ2_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f90,f292,f114]) ).
fof(f380,definition,
( sQ65_spl
<=> ndr1_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ65_spl
| ndr1_1(a39) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ65_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f91,f292,f380]) ).
fof(f384,definition,
( sQ66_spl
<=> c1_2(a39,a40) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ66_spl
| c1_2(a39,a40) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ66_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f92,f292,f384]) ).
fof(f388,definition,
( sQ67_spl
<=> c2_2(a39,a40) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ67_spl
| c2_2(a39,a40) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ67_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f93,f292,f388]) ).
fof(f392,definition,
( sQ68_spl
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ68_spl
| c2_1(a39) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ68_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f94,f292,f392]) ).
fof(f396,definition,
! [X0] :
( sQ69_spl
<=> ( c1_2(a39,X0)
| ~ c5_2(a39,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f397,plain,
! [X0] :
( ~ sQ69_spl
| c1_2(a39,X0)
| ~ c5_2(a39,X0) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ69_spl
| ~ sQ65_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f95,f292,f380,f396]) ).
fof(f401,definition,
( sQ70_spl
<=> c5_2(a39,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ70_spl
| ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ65_spl
| ~ sQ2_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f97,f292,f114,f380,f384,f388,f392,f401]) ).
fof(f405,definition,
( sQ71_spl
<=> c1_2(a39,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ65_spl
| ~ sQ2_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f98,f292,f114,f380,f384,f388,f392,f405]) ).
fof(f409,plain,
( sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f100,f316,f114]) ).
fof(f410,definition,
( sQ72_spl
<=> c5_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ72_spl
| ~ c5_1(a43) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( ~ sQ72_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f101,f316,f410]) ).
fof(f414,definition,
( sQ73_spl
<=> c2_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( sQ73_spl
| ~ c2_1(a43) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( ~ sQ73_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f102,f316,f414]) ).
fof(f418,plain,
( sQ73_spl
| sQ72_spl
| ~ sQ2_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f103,f316,f114,f410,f414]) ).
fof(f419,plain,
( sQ2_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f105,f349,f114]) ).
fof(f420,definition,
( sQ74_spl
<=> c3_1(a47) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ74_spl
| c3_1(a47) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ74_spl
| ~ c3_1(a47) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( ~ sQ74_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f106,f349,f420]) ).
fof(f424,plain,
( sQ74_spl
| ~ sQ2_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f107,f349,f114,f420]) ).
fof(f425,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ65_spl
| c5_1(a39)
| c2_2(a39,X0)
| c3_2(a39,X0)
| c3_2(a39,a36) ),
inference(resolution,[status(thm)],[f381,f263]) ).
fof(f426,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ65_spl
| c5_1(a39)
| c2_2(a39,X0)
| c3_2(a39,X0)
| ~ c1_2(a39,a36) ),
inference(resolution,[status(thm)],[f381,f256]) ).
fof(f427,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ65_spl
| c5_1(a39)
| c2_2(a39,X0)
| c3_2(a39,X0)
| ~ c5_2(a39,a36) ),
inference(resolution,[status(thm)],[f381,f249]) ).
fof(f428,definition,
( sQ75_spl
<=> c3_2(a39,a36) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f431,definition,
! [X0] :
( sQ76_spl
<=> ( c2_2(a39,X0)
| c3_2(a39,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f434,definition,
( sQ77_spl
<=> c5_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ77_spl
| c5_1(a39) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( ~ sQ37_spl
| ~ sQ65_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f425,f428,f431,f434,f380,f262]) ).
fof(f438,definition,
( sQ78_spl
<=> c1_2(a39,a36) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ36_spl
| ~ sQ65_spl
| sQ77_spl
| sQ76_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f426,f438,f431,f434,f380,f255]) ).
fof(f442,definition,
( sQ79_spl
<=> c5_2(a39,a36) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ35_spl
| ~ sQ65_spl
| sQ77_spl
| sQ76_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f427,f442,f431,f434,f380,f248]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ7_spl
| sQ9_spl
| sQ13_spl
| sQ14_spl
| ~ sQ15_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| sQ34_spl
| ~ sQ38_spl
| ~ sQ39_spl
| sQ44_spl
| sQ50_spl
| sQ58_spl
| sQ63_spl
| sQ65_spl
| sQ66_spl
| sQ67_spl
| sQ68_spl
| sQ69_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| sQ77_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN516+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n002.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Mon Sep 21 11:07:33 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.47 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.16/0.47 % SZS output start Saturation for theBenchmark
% See solution above
% 0.16/0.50 % Elapsed time: 0.045446 seconds
% 0.16/0.50 % CPU time: 0.074489 seconds
% 0.16/0.50 % Total memory used: 4.424 MB
% 0.16/0.50 % Net memory used: 4.409 MB
%------------------------------------------------------------------------------