%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN523+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 : n007.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 03:19:55 PM UTC 2026
% Result : CounterSatisfiable 0.15s 0.46s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ( ! [X6] :
( ndr1_1(a155)
=> ( c5_2(a155,X6)
| ~ c2_2(a155,X6)
| ~ c4_2(a155,X6) ) )
& c2_2(a155,a156)
& c5_2(a155,a156)
& c1_2(a155,a156)
& ndr1_1(a155)
& ~ c4_1(a155)
& ndr1_0 )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c5_1(X5)
| c4_1(X5) ) )
| ~ c4_0 )
& ( c3_0
| ( ! [X4] :
( ndr1_1(a154)
=> ( ~ c1_2(a154,X4)
| ~ c5_2(a154,X4) ) )
& c1_1(a154)
& ~ c5_1(a154)
& ndr1_0 )
| ( ~ c5_1(a153)
& ~ c1_1(a153)
& ndr1_0 ) )
& ( ! [X3] :
( ndr1_0
=> ( c4_1(X3)
| c5_1(X3) ) )
| c2_0
| ( c3_1(a152)
& ~ c1_1(a152)
& ~ c4_1(a152)
& ndr1_0 ) )
& ( ( ~ c3_1(a151)
& ~ c2_1(a151)
& ndr1_0 )
| ~ c3_0 )
& ( c3_0
| ( ~ c4_1(a150)
& ! [X2] :
( ndr1_1(a150)
=> ( ~ c4_2(a150,X2)
| c5_2(a150,X2) ) )
& ndr1_0 )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) ) ) ) )
& ( ( ~ c2_1(a148)
& ~ c3_1(a148)
& c5_1(a148)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ! [Z] :
( ndr1_0
=> ( ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) )
| c5_1(Z) ) )
| c4_0
| ( c4_1(a146)
& ~ c3_1(a146)
& ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a145)
& c3_1(a145)
& ! [Y] :
( ndr1_1(a145)
=> ( ~ c1_2(a145,Y)
| ~ c5_2(a145,Y)
| ~ c2_2(a145,Y) ) )
& ndr1_0 ) )
& ( ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( c1_2(W,X)
| c4_2(W,X) ) )
| ~ c3_1(W)
| ~ c5_1(W) ) )
| ~ c1_0 )
& ( ( ~ c4_1(a144)
& c5_1(a144)
& ! [V] :
( ndr1_1(a144)
=> ( ~ c5_2(a144,V)
| c4_2(a144,V)
| c3_2(a144,V) ) )
& ndr1_0 )
| ~ c4_0 )
& ( c1_0
| c2_0
| c5_0 )
& ( ~ c2_0
| ( ~ c1_1(a143)
& ndr1_0 )
| ! [U] :
( ndr1_0
=> ( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ( ! [X6] :
( ndr1_1(a155)
=> ( c5_2(a155,X6)
| ~ c2_2(a155,X6)
| ~ c4_2(a155,X6) ) )
& c2_2(a155,a156)
& c5_2(a155,a156)
& c1_2(a155,a156)
& ndr1_1(a155)
& ~ c4_1(a155)
& ndr1_0 )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c5_1(X5)
| c4_1(X5) ) )
| ~ c4_0 )
& ( c3_0
| ( ! [X4] :
( ndr1_1(a154)
=> ( ~ c1_2(a154,X4)
| ~ c5_2(a154,X4) ) )
& c1_1(a154)
& ~ c5_1(a154)
& ndr1_0 )
| ( ~ c5_1(a153)
& ~ c1_1(a153)
& ndr1_0 ) )
& ( ! [X3] :
( ndr1_0
=> ( c4_1(X3)
| c5_1(X3) ) )
| c2_0
| ( c3_1(a152)
& ~ c1_1(a152)
& ~ c4_1(a152)
& ndr1_0 ) )
& ( ( ~ c3_1(a151)
& ~ c2_1(a151)
& ndr1_0 )
| ~ c3_0 )
& ( c3_0
| ( ~ c4_1(a150)
& ! [X2] :
( ndr1_1(a150)
=> ( ~ c4_2(a150,X2)
| c5_2(a150,X2) ) )
& ndr1_0 )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) ) ) ) )
& ( ( ~ c2_1(a148)
& ~ c3_1(a148)
& c5_1(a148)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ! [Z] :
( ndr1_0
=> ( ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) )
| c5_1(Z) ) )
| c4_0
| ( c4_1(a146)
& ~ c3_1(a146)
& ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a145)
& c3_1(a145)
& ! [Y] :
( ndr1_1(a145)
=> ( ~ c1_2(a145,Y)
| ~ c5_2(a145,Y)
| ~ c2_2(a145,Y) ) )
& ndr1_0 ) )
& ( ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( c1_2(W,X)
| c4_2(W,X) ) )
| ~ c3_1(W)
| ~ c5_1(W) ) )
| ~ c1_0 )
& ( ( ~ c4_1(a144)
& c5_1(a144)
& ! [V] :
( ndr1_1(a144)
=> ( ~ c5_2(a144,V)
| c4_2(a144,V)
| c3_2(a144,V) ) )
& ndr1_0 )
| ~ c4_0 )
& ( c1_0
| c2_0
| c5_0 )
& ( ~ c2_0
| ( ~ c1_1(a143)
& ndr1_0 )
| ! [U] :
( ndr1_0
=> ( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ( ! [X6] :
( c5_2(a155,X6)
| ~ c2_2(a155,X6)
| ~ c4_2(a155,X6)
| ~ ndr1_1(a155) )
& c2_2(a155,a156)
& c5_2(a155,a156)
& c1_2(a155,a156)
& ndr1_1(a155)
& ~ c4_1(a155)
& ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c5_1(X5)
| c4_1(X5)
| ~ ndr1_0 )
| ~ c4_0 )
& ( c3_0
| ( ! [X4] :
( ~ c1_2(a154,X4)
| ~ c5_2(a154,X4)
| ~ ndr1_1(a154) )
& c1_1(a154)
& ~ c5_1(a154)
& ndr1_0 )
| ( ~ c5_1(a153)
& ~ c1_1(a153)
& ndr1_0 ) )
& ( ! [X3] :
( c4_1(X3)
| c5_1(X3)
| ~ ndr1_0 )
| c2_0
| ( c3_1(a152)
& ~ c1_1(a152)
& ~ c4_1(a152)
& ndr1_0 ) )
& ( ( ~ c3_1(a151)
& ~ c2_1(a151)
& ndr1_0 )
| ~ c3_0 )
& ( c3_0
| ( ~ c4_1(a150)
& ! [X2] :
( ~ c4_2(a150,X2)
| c5_2(a150,X2)
| ~ ndr1_1(a150) )
& ndr1_0 )
| ! [X1] :
( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) )
| ~ ndr1_0 ) )
& ( ( ~ c2_1(a148)
& ~ c3_1(a148)
& c5_1(a148)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ! [Z] :
( ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) )
| c5_1(Z)
| ~ ndr1_0 )
| c4_0
| ( c4_1(a146)
& ~ c3_1(a146)
& ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a145)
& c3_1(a145)
& ! [Y] :
( ~ c1_2(a145,Y)
| ~ c5_2(a145,Y)
| ~ c2_2(a145,Y)
| ~ ndr1_1(a145) )
& ndr1_0 ) )
& ( ! [W] :
( ! [X] :
( c1_2(W,X)
| c4_2(W,X)
| ~ ndr1_1(W) )
| ~ c3_1(W)
| ~ c5_1(W)
| ~ ndr1_0 )
| ~ c1_0 )
& ( ( ~ c4_1(a144)
& c5_1(a144)
& ! [V] :
( ~ c5_2(a144,V)
| c4_2(a144,V)
| c3_2(a144,V)
| ~ ndr1_1(a144) )
& ndr1_0 )
| ~ c4_0 )
& ( c1_0
| c2_0
| c5_0 )
& ( ~ c2_0
| ( ~ c1_1(a143)
& ndr1_0 )
| ! [U] :
( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) )
| ~ ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [U] :
( sP0_prd(U)
<=> ( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
! [Z] :
( sP1_prd(Z)
<=> ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X1] :
( sP2_prd(X1)
<=> ( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ~ c5_1(a153)
& ~ c1_1(a153)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,plain,
( ( ( ! [X6] :
( c5_2(a155,X6)
| ~ c2_2(a155,X6)
| ~ c4_2(a155,X6)
| ~ ndr1_1(a155) )
& c2_2(a155,a156)
& c5_2(a155,a156)
& c1_2(a155,a156)
& ndr1_1(a155)
& ~ c4_1(a155)
& ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c5_1(X5)
| c4_1(X5)
| ~ ndr1_0 )
| ~ c4_0 )
& ( c3_0
| ( ! [X4] :
( ~ c1_2(a154,X4)
| ~ c5_2(a154,X4)
| ~ ndr1_1(a154) )
& c1_1(a154)
& ~ c5_1(a154)
& ndr1_0 )
| sP3_prd )
& ( ! [X3] :
( c4_1(X3)
| c5_1(X3)
| ~ ndr1_0 )
| c2_0
| ( c3_1(a152)
& ~ c1_1(a152)
& ~ c4_1(a152)
& ndr1_0 ) )
& ( ( ~ c3_1(a151)
& ~ c2_1(a151)
& ndr1_0 )
| ~ c3_0 )
& ( c3_0
| ( ~ c4_1(a150)
& ! [X2] :
( ~ c4_2(a150,X2)
| c5_2(a150,X2)
| ~ ndr1_1(a150) )
& ndr1_0 )
| ! [X1] :
( sP2_prd(X1)
| ~ ndr1_0 ) )
& ( ( ~ c2_1(a148)
& ~ c3_1(a148)
& c5_1(a148)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ! [Z] :
( sP1_prd(Z)
| c5_1(Z)
| ~ ndr1_0 )
| c4_0
| ( c4_1(a146)
& ~ c3_1(a146)
& ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a145)
& c3_1(a145)
& ! [Y] :
( ~ c1_2(a145,Y)
| ~ c5_2(a145,Y)
| ~ c2_2(a145,Y)
| ~ ndr1_1(a145) )
& ndr1_0 ) )
& ( ! [W] :
( ! [X] :
( c1_2(W,X)
| c4_2(W,X)
| ~ ndr1_1(W) )
| ~ c3_1(W)
| ~ c5_1(W)
| ~ ndr1_0 )
| ~ c1_0 )
& ( ( ~ c4_1(a144)
& c5_1(a144)
& ! [V] :
( ~ c5_2(a144,V)
| c4_2(a144,V)
| c3_2(a144,V)
| ~ ndr1_1(a144) )
& ndr1_0 )
| ~ c4_0 )
& ( c1_0
| c2_0
| c5_0 )
& ( ~ c2_0
| ( ~ c1_1(a143)
& ndr1_0 )
| ! [U] :
( sP0_prd(U)
| ~ ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f7,f6,f5,f4]) ).
fof(f9,plain,
( ( ( ( ! [X6] :
( c5_2(a155,X6)
| ~ c2_2(a155,X6)
| ~ c4_2(a155,X6) )
| ~ ndr1_1(a155) )
& c2_2(a155,a156)
& c5_2(a155,a156)
& c1_2(a155,a156)
& ndr1_1(a155)
& ~ c4_1(a155)
& ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c5_1(X5)
| c4_1(X5) )
| ~ ndr1_0
| ~ c4_0 )
& ( c3_0
| ( ( ! [X4] :
( ~ c1_2(a154,X4)
| ~ c5_2(a154,X4) )
| ~ ndr1_1(a154) )
& c1_1(a154)
& ~ c5_1(a154)
& ndr1_0 )
| sP3_prd )
& ( ! [X3] :
( c4_1(X3)
| c5_1(X3) )
| ~ ndr1_0
| c2_0
| ( c3_1(a152)
& ~ c1_1(a152)
& ~ c4_1(a152)
& ndr1_0 ) )
& ( ( ~ c3_1(a151)
& ~ c2_1(a151)
& ndr1_0 )
| ~ c3_0 )
& ( c3_0
| ( ~ c4_1(a150)
& ( ! [X2] :
( ~ c4_2(a150,X2)
| c5_2(a150,X2) )
| ~ ndr1_1(a150) )
& ndr1_0 )
| ! [X1] : sP2_prd(X1)
| ~ ndr1_0 )
& ( ( ~ c2_1(a148)
& ~ c3_1(a148)
& c5_1(a148)
& ndr1_0 )
| ~ c1_0
| ~ c5_0 )
& ( ! [Z] :
( sP1_prd(Z)
| c5_1(Z) )
| ~ ndr1_0
| c4_0
| ( c4_1(a146)
& ~ c3_1(a146)
& ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a145)
& c3_1(a145)
& ( ! [Y] :
( ~ c1_2(a145,Y)
| ~ c5_2(a145,Y)
| ~ c2_2(a145,Y) )
| ~ ndr1_1(a145) )
& ndr1_0 ) )
& ( ! [W] :
( ! [X] :
( c1_2(W,X)
| c4_2(W,X) )
| ~ ndr1_1(W)
| ~ c3_1(W)
| ~ c5_1(W) )
| ~ ndr1_0
| ~ c1_0 )
& ( ( ~ c4_1(a144)
& c5_1(a144)
& ( ! [V] :
( ~ c5_2(a144,V)
| c4_2(a144,V)
| c3_2(a144,V) )
| ~ ndr1_1(a144) )
& ndr1_0 )
| ~ c4_0 )
& ( c1_0
| c2_0
| c5_0 )
& ( ~ c2_0
| ( ~ c1_1(a143)
& ndr1_0 )
| ! [U] : sP0_prd(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f11,plain,
! [X0] :
( ~ c2_0
| ~ c1_1(a143)
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
( c1_0
| c2_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f13,plain,
( ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f14,plain,
! [X0] :
( ~ c5_2(a144,X0)
| c4_2(a144,X0)
| c3_2(a144,X0)
| ~ ndr1_1(a144)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f15,plain,
( c5_1(a144)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f16,plain,
( ~ c4_1(a144)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
! [X0,X1] :
( c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0] :
( c2_0
| ~ c1_2(a145,X0)
| ~ c5_2(a145,X0)
| ~ c2_2(a145,X0)
| ~ ndr1_1(a145) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
( c2_0
| c3_1(a145) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
( c2_0
| ~ c5_1(a145) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
! [X0] :
( sP1_prd(X0)
| c5_1(X0)
| ~ ndr1_0
| c4_0
| ~ c3_1(a146) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0] :
( sP1_prd(X0)
| c5_1(X0)
| ~ ndr1_0
| c4_0
| c4_1(a146) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
( ndr1_0
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
( c5_1(a148)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
( ~ c3_1(a148)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
( ~ c2_1(a148)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0,X1] :
( c3_0
| ~ c4_2(a150,X1)
| c5_2(a150,X1)
| ~ ndr1_1(a150)
| sP2_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0] :
( c3_0
| ~ c4_1(a150)
| sP2_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
( ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
( ~ c2_1(a151)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
( ~ c3_1(a151)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c2_0
| ~ c4_1(a152) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c2_0
| ~ c1_1(a152) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c2_0
| c3_1(a152) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
( c3_0
| ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
( c3_0
| ~ c5_1(a154)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
( c3_0
| c1_1(a154)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
! [X0] :
( c3_0
| ~ c1_2(a154,X0)
| ~ c5_2(a154,X0)
| ~ ndr1_1(a154)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
! [X0] :
( ~ c4_1(a155)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [X0] :
( ndr1_1(a155)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
! [X0] :
( c1_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
! [X0] :
( c5_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f48,plain,
! [X0] :
( c2_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f49,plain,
! [X0,X1] :
( c5_2(a155,X1)
| ~ c2_2(a155,X1)
| ~ c4_2(a155,X1)
| ~ ndr1_1(a155)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,definition,
! [U] :
( sP4_prd(U)
<=> ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f51,plain,
! [U] :
( sP0_prd(U)
<=> ( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| sP4_prd(U) ) ),
inference(formula_renaming,[status(thm)],[f4,f50]) ).
fof(f52,plain,
! [U] :
( ( ( c1_1(U)
& ( c4_2(U,a142)
| ~ c3_2(U,a142)
| ~ ndr1_1(U) )
& ~ sP4_prd(U) )
| sP0_prd(U) )
& ( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| sP4_prd(U)
| ~ sP0_prd(U) ) ),
inference(NNF_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
( ! [U] :
( ( c1_1(U)
& ( c4_2(U,a142)
| ~ c3_2(U,a142)
| ~ ndr1_1(U) )
& ~ sP4_prd(U) )
| sP0_prd(U) )
& ! [U] :
( ~ c1_1(U)
| ( ~ c4_2(U,a142)
& c3_2(U,a142)
& ndr1_1(U) )
| sP4_prd(U)
| ~ sP0_prd(U) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_1(X0)
| sP4_prd(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ c1_1(X0)
| c3_2(X0,a142)
| sP4_prd(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f56,plain,
! [X0] :
( ~ c1_1(X0)
| ~ c4_2(X0,a142)
| sP4_prd(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f57,plain,
! [X0] :
( ~ sP4_prd(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f58,plain,
! [X0] :
( c4_2(X0,a142)
| ~ c3_2(X0,a142)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f59,plain,
! [X0] :
( c1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f60,plain,
! [Z] :
( ( c5_2(Z,a147)
| c1_2(Z,a147)
| ~ c3_2(Z,a147)
| ~ ndr1_1(Z)
| sP1_prd(Z) )
& ( ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) )
| ~ sP1_prd(Z) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
( ! [Z] :
( c5_2(Z,a147)
| c1_2(Z,a147)
| ~ c3_2(Z,a147)
| ~ ndr1_1(Z)
| sP1_prd(Z) )
& ! [Z] :
( ( ~ c5_2(Z,a147)
& ~ c1_2(Z,a147)
& c3_2(Z,a147)
& ndr1_1(Z) )
| ~ sP1_prd(Z) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] :
( c3_2(X0,a147)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X0] :
( ~ c1_2(X0,a147)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
! [X0] :
( ~ c5_2(X0,a147)
| ~ sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f66,plain,
! [X0] :
( c5_2(X0,a147)
| c1_2(X0,a147)
| ~ c3_2(X0,a147)
| ~ ndr1_1(X0)
| sP1_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f67,plain,
! [X1] :
( ( ( ~ c3_1(X1)
& ~ c4_1(X1)
& ( ~ c4_2(X1,a149)
| ~ c5_2(X1,a149)
| ~ ndr1_1(X1) ) )
| sP2_prd(X1) )
& ( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) )
| ~ sP2_prd(X1) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f68,plain,
( ! [X1] :
( ( ~ c3_1(X1)
& ~ c4_1(X1)
& ( ~ c4_2(X1,a149)
| ~ c5_2(X1,a149)
| ~ ndr1_1(X1) ) )
| sP2_prd(X1) )
& ! [X1] :
( c3_1(X1)
| c4_1(X1)
| ( c4_2(X1,a149)
& c5_2(X1,a149)
& ndr1_1(X1) )
| ~ sP2_prd(X1) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| ndr1_1(X0)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| c5_2(X0,a149)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
! [X0] :
( c3_1(X0)
| c4_1(X0)
| c4_2(X0,a149)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f72,plain,
! [X0] :
( ~ c4_2(X0,a149)
| ~ c5_2(X0,a149)
| ~ ndr1_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f73,plain,
! [X0] :
( ~ c4_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f74,plain,
! [X0] :
( ~ c3_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f75,plain,
( ( c5_1(a153)
| c1_1(a153)
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c5_1(a153)
& ~ c1_1(a153)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f76,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
( ~ c1_1(a153)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
( ~ c5_1(a153)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f79,plain,
( c5_1(a153)
| c1_1(a153)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f80,plain,
! [U] :
( ( c1_2(U,a141)
| c5_2(U,a141)
| c2_2(U,a141)
| ~ ndr1_1(U)
| sP4_prd(U) )
& ( ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) )
| ~ sP4_prd(U) ) ),
inference(NNF_transformation,[status(thm)],[f50]) ).
fof(f81,plain,
( ! [U] :
( c1_2(U,a141)
| c5_2(U,a141)
| c2_2(U,a141)
| ~ ndr1_1(U)
| sP4_prd(U) )
& ! [U] :
( ( ~ c1_2(U,a141)
& ~ c5_2(U,a141)
& ~ c2_2(U,a141)
& ndr1_1(U) )
| ~ sP4_prd(U) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0] :
( ~ c2_2(X0,a141)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,plain,
! [X0] :
( ~ c5_2(X0,a141)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
! [X0] :
( ~ c1_2(X0,a141)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f86,plain,
! [X0] :
( c1_2(X0,a141)
| c5_2(X0,a141)
| c2_2(X0,a141)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f87,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
! [X0] :
( sQ1_spl
<=> sP0_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f91,plain,
! [X0] :
( ~ sQ1_spl
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ2_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ2_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f97,definition,
( sQ3_spl
<=> c1_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ3_spl
| ~ c1_1(a143) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f87,f90,f97,f93]) ).
fof(f101,definition,
( sQ4_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f104,definition,
( sQ5_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ5_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ5_spl
| sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f12,f101,f93,f104]) ).
fof(f108,definition,
( sQ6_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ6_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f13,f108,f87]) ).
fof(f112,definition,
( sQ7_spl
<=> ndr1_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f115,definition,
! [X0] :
( sQ8_spl
<=> ( ~ c5_2(a144,X0)
| c4_2(a144,X0)
| c3_2(a144,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f14,f108,f112,f115]) ).
fof(f119,definition,
( sQ9_spl
<=> c5_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ9_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f15,f108,f119]) ).
fof(f123,definition,
( sQ10_spl
<=> c4_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f16,f108,f123]) ).
fof(f127,definition,
! [X0,X1] :
( sQ11_spl
<=> ( c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ11_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f17,f104,f87,f127]) ).
fof(f131,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f87,f93]) ).
fof(f132,definition,
( sQ12_spl
<=> ndr1_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f135,definition,
! [X0] :
( sQ13_spl
<=> ( ~ c1_2(a145,X0)
| ~ c5_2(a145,X0)
| ~ c2_2(a145,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ2_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f19,f132,f135,f93]) ).
fof(f139,definition,
( sQ14_spl
<=> c3_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f20,f139,f93]) ).
fof(f143,definition,
( sQ15_spl
<=> c5_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ2_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f21,f143,f93]) ).
fof(f147,definition,
! [X0] :
( sQ16_spl
<=> ( sP1_prd(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f148,plain,
! [X0] :
( ~ sQ16_spl
| sP1_prd(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f151,definition,
( sQ17_spl
<=> c3_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( sQ17_spl
| ~ c3_1(a146) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ16_spl
| ~ sQ0_spl
| sQ6_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f151,f108,f87,f147]) ).
fof(f155,definition,
( sQ18_spl
<=> c4_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ18_spl
| c4_1(a146) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ16_spl
| ~ sQ0_spl
| sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f24,f155,f108,f87,f147]) ).
fof(f159,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f25,f101,f104,f87]) ).
fof(f160,definition,
( sQ19_spl
<=> c5_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f26,f101,f104,f160]) ).
fof(f164,definition,
( sQ20_spl
<=> c3_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f27,f101,f104,f164]) ).
fof(f168,definition,
( sQ21_spl
<=> c2_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f28,f101,f104,f168]) ).
fof(f172,definition,
! [X0] :
( sQ22_spl
<=> sP2_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0] :
( ~ sQ22_spl
| sP2_prd(X0) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ23_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ23_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ23_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f179,definition,
( sQ24_spl
<=> ndr1_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f182,definition,
! [X1] :
( sQ25_spl
<=> ( ~ c4_2(a150,X1)
| c5_2(a150,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ23_spl
| sQ25_spl
| ~ sQ24_spl
| sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f87,f172,f179,f182,f175]) ).
fof(f186,definition,
( sQ26_spl
<=> c4_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ23_spl
| ~ sQ26_spl
| sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f87,f172,f186,f175]) ).
fof(f190,plain,
( sQ0_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f32,f175,f87]) ).
fof(f191,definition,
( sQ27_spl
<=> c2_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ27_spl
| ~ c2_1(a151) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f33,f175,f191]) ).
fof(f195,definition,
( sQ28_spl
<=> c3_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ28_spl
| ~ c3_1(a151) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sQ28_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f34,f175,f195]) ).
fof(f199,definition,
! [X0] :
( sQ29_spl
<=> ( c4_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0] :
( ~ sQ29_spl
| c4_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f203,definition,
( sQ30_spl
<=> c4_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ29_spl
| ~ sQ0_spl
| sQ2_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f36,f203,f93,f87,f199]) ).
fof(f207,definition,
( sQ31_spl
<=> c1_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ29_spl
| ~ sQ0_spl
| sQ2_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f37,f207,f93,f87,f199]) ).
fof(f211,definition,
( sQ32_spl
<=> c3_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ29_spl
| ~ sQ0_spl
| sQ2_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f211,f93,f87,f199]) ).
fof(f215,definition,
( sQ33_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ33_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ33_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ23_spl
| sQ0_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f215,f87,f175]) ).
fof(f219,definition,
( sQ34_spl
<=> c5_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ23_spl
| ~ sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f215,f219,f175]) ).
fof(f223,definition,
( sQ35_spl
<=> c1_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( sQ23_spl
| sQ35_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f41,f215,f223,f175]) ).
fof(f227,definition,
( sQ36_spl
<=> ndr1_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f230,definition,
! [X0] :
( sQ37_spl
<=> ( ~ c1_2(a154,X0)
| ~ c5_2(a154,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( sQ23_spl
| sQ37_spl
| ~ sQ36_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f42,f215,f227,f230,f175]) ).
fof(f234,definition,
! [X0] :
( sQ38_spl
<=> ( c1_1(X0)
| c5_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0] :
( ~ sQ38_spl
| c1_1(X0)
| c5_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f238,definition,
( sQ39_spl
<=> c4_1(a155) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ39_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f44,f108,f87,f234,f238]) ).
fof(f242,definition,
( sQ40_spl
<=> ndr1_1(a155) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( sQ40_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f45,f108,f87,f234,f242]) ).
fof(f246,definition,
( sQ41_spl
<=> c1_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ41_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f46,f108,f87,f234,f246]) ).
fof(f250,definition,
( sQ42_spl
<=> c5_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ42_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f47,f108,f87,f234,f250]) ).
fof(f254,definition,
( sQ43_spl
<=> c2_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ43_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f48,f108,f87,f234,f254]) ).
fof(f258,definition,
! [X1] :
( sQ44_spl
<=> ( c5_2(a155,X1)
| ~ c2_2(a155,X1)
| ~ c4_2(a155,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ44_spl
| ~ sQ40_spl
| sQ38_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f108,f87,f234,f242,f258]) ).
fof(f262,plain,
( sQ0_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f76,f215,f87]) ).
fof(f263,definition,
( sQ45_spl
<=> c1_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ45_spl
| c1_1(a153) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ45_spl
| ~ c1_1(a153) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f77,f215,f263]) ).
fof(f267,definition,
( sQ46_spl
<=> c5_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( sQ46_spl
| ~ c5_1(a153) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( ~ sQ46_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f78,f215,f267]) ).
fof(f271,plain,
( sQ46_spl
| sQ45_spl
| ~ sQ0_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f79,f215,f87,f263,f267]) ).
fof(f272,plain,
! [X0] :
( ~ sQ1_spl
| ~ c1_1(X0)
| ~ c4_2(X0,a142)
| sP4_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f56,f91]) ).
fof(f273,plain,
! [X0] :
( ~ sQ1_spl
| ~ c1_1(X0)
| ndr1_1(X0)
| sP4_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f91]) ).
fof(f274,plain,
( ~ sQ45_spl
| ~ sQ1_spl
| ndr1_1(a153)
| sP4_prd(a153) ),
inference(resolution,[status(thm)],[f273,f264]) ).
fof(f275,definition,
( sQ47_spl
<=> sP4_prd(a153) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ47_spl
| sP4_prd(a153) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ48_spl
<=> ndr1_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ48_spl
| ndr1_1(a153) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( ~ sQ45_spl
| ~ sQ1_spl
| sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f274,f275,f278,f90,f263]) ).
fof(f284,definition,
( sQ49_spl
<=> sP0_prd(a153) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ45_spl
| c3_2(a153,a142)
| sP4_prd(a153)
| ~ sP0_prd(a153) ),
inference(resolution,[status(thm)],[f55,f264]) ).
fof(f290,definition,
( sQ50_spl
<=> c3_2(a153,a142) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ45_spl
| sQ50_spl
| sQ47_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f288,f284,f275,f290,f263]) ).
fof(f294,plain,
! [X0] :
( ~ sQ22_spl
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a149) ),
inference(backward_subsumption_resolution,[status(thm)],[f71,f173]) ).
fof(f295,plain,
! [X0] :
( ~ sQ22_spl
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a149) ),
inference(backward_subsumption_resolution,[status(thm)],[f70,f173]) ).
fof(f296,plain,
! [X0] :
( ~ sQ22_spl
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f69,f173]) ).
fof(f297,plain,
( sQ3_spl
| sP0_prd(a143) ),
inference(resolution,[status(thm)],[f99,f59]) ).
fof(f298,plain,
( sQ45_spl
| sP0_prd(a153) ),
inference(resolution,[status(thm)],[f265,f59]) ).
fof(f299,plain,
( ~ sQ16_spl
| sQ46_spl
| sP1_prd(a153) ),
inference(resolution,[status(thm)],[f269,f148]) ).
fof(f300,plain,
( ~ sQ16_spl
| sQ46_spl
| c3_2(a153,a147) ),
inference(resolution,[status(thm)],[f299,f63]) ).
fof(f301,plain,
( ~ sQ16_spl
| sQ46_spl
| ndr1_1(a153) ),
inference(resolution,[status(thm)],[f299,f62]) ).
fof(f302,plain,
( ~ sQ16_spl
| sQ46_spl
| c1_2(a153,a141)
| c5_2(a153,a141)
| c2_2(a153,a141)
| sP4_prd(a153) ),
inference(resolution,[status(thm)],[f301,f86]) ).
fof(f303,definition,
( sQ51_spl
<=> c2_2(a153,a141) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f306,definition,
( sQ52_spl
<=> c5_2(a153,a141) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f309,definition,
( sQ53_spl
<=> c1_2(a153,a141) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ16_spl
| sQ46_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f302,f275,f303,f306,f309,f267,f147]) ).
fof(f313,plain,
( sQ46_spl
| ~ sQ38_spl
| c1_1(a153)
| c4_1(a153) ),
inference(resolution,[status(thm)],[f235,f269]) ).
fof(f314,definition,
( sQ54_spl
<=> c4_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( sQ46_spl
| ~ sQ38_spl
| sQ45_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f313,f314,f263,f234,f267]) ).
fof(f318,plain,
! [X0] :
( ~ c1_1(X0)
| ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f82]) ).
fof(f319,plain,
( ~ sQ47_spl
| ndr1_1(a153) ),
inference(resolution,[status(thm)],[f276,f82]) ).
fof(f324,plain,
( ~ sQ47_spl
| sP0_prd(a153) ),
inference(resolution,[status(thm)],[f57,f276]) ).
fof(f325,plain,
( ~ sQ18_spl
| sP2_prd(a146) ),
inference(resolution,[status(thm)],[f73,f156]) ).
fof(f341,plain,
( ~ sQ45_spl
| ndr1_1(a153)
| ~ sP0_prd(a153) ),
inference(resolution,[status(thm)],[f318,f264]) ).
fof(f343,plain,
( ~ sQ45_spl
| sQ48_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f341,f284,f278,f263]) ).
fof(f349,plain,
( sQ45_spl
| sP0_prd(a153) ),
inference(resolution,[status(thm)],[f265,f59]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ17_spl
| sQ18_spl
| sQ22_spl
| ~ sQ23_spl
| sQ33_spl
| ~ sQ38_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN523+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n007.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 11:03:36 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.46 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.15/0.46 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.50 % Elapsed time: 0.058244 seconds
% 0.15/0.50 % CPU time: 0.150439 seconds
% 0.15/0.50 % Total memory used: 18.822 MB
% 0.15/0.50 % Net memory used: 18.753 MB
%------------------------------------------------------------------------------