%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN490+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:19:48 PM UTC 2026
% Result : CounterSatisfiable 0.11s 0.39s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp13
| hskp6
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ) )
& ( hskp3
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| c0_1(X2)
| c2_1(X2) ) )
| hskp5 )
& ( ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( c2_1(Z)
| ~ c1_1(Z)
| ~ c0_1(Z) ) )
| hskp4 )
& ( ! [Y] :
( ndr1_0
=> ( c0_1(Y)
| ~ c3_1(Y)
| c2_1(Y) ) )
| hskp12
| ! [X] :
( ndr1_0
=> ( ~ c2_1(X)
| ~ c1_1(X)
| ~ c3_1(X) ) ) )
& ( hskp11
| hskp3
| hskp10 )
& ( hskp9
| hskp2
| ! [W] :
( ndr1_0
=> ( c1_1(W)
| ~ c2_1(W)
| ~ c3_1(W) ) ) )
& ( ! [V] :
( ndr1_0
=> ( c3_1(V)
| c1_1(V)
| ~ c2_1(V) ) )
| hskp1
| ! [U] :
( ndr1_0
=> ( ~ c2_1(U)
| c0_1(U)
| ~ c1_1(U) ) ) )
& ( hskp8
| hskp0
| hskp7 )
& ( ( c2_1(a15)
& c1_1(a15)
& c3_1(a15)
& ndr1_0 )
| ~ hskp13 )
& ( ( c3_1(a10)
& ~ c2_1(a10)
& ~ c1_1(a10)
& ndr1_0 )
| ~ hskp12 )
& ( ( c3_1(a9)
& c2_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp11 )
& ( ( c3_1(a7)
& ~ c1_1(a7)
& ~ c2_1(a7)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a6)
& c3_1(a6)
& c1_1(a6)
& ndr1_0 )
| ~ hskp9 )
& ( ( c2_1(a3)
& ~ c1_1(a3)
& ~ c3_1(a3)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a1)
& c0_1(a1)
& c3_1(a1)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a14)
& c1_1(a14)
& ~ c0_1(a14)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a12)
& ~ c0_1(a12)
& ~ c1_1(a12)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c0_1(a8)
& c3_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a5)
& c0_1(a5)
& c1_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a4)
& c1_1(a4)
& ~ c3_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2)
& c0_1(a2)
& ~ c3_1(a2)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp13
| hskp6
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ) )
& ( hskp3
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| c0_1(X2)
| c2_1(X2) ) )
| hskp5 )
& ( ! [X1] :
( ndr1_0
=> ( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( c2_1(Z)
| ~ c1_1(Z)
| ~ c0_1(Z) ) )
| hskp4 )
& ( ! [Y] :
( ndr1_0
=> ( c0_1(Y)
| ~ c3_1(Y)
| c2_1(Y) ) )
| hskp12
| ! [X] :
( ndr1_0
=> ( ~ c2_1(X)
| ~ c1_1(X)
| ~ c3_1(X) ) ) )
& ( hskp11
| hskp3
| hskp10 )
& ( hskp9
| hskp2
| ! [W] :
( ndr1_0
=> ( c1_1(W)
| ~ c2_1(W)
| ~ c3_1(W) ) ) )
& ( ! [V] :
( ndr1_0
=> ( c3_1(V)
| c1_1(V)
| ~ c2_1(V) ) )
| hskp1
| ! [U] :
( ndr1_0
=> ( ~ c2_1(U)
| c0_1(U)
| ~ c1_1(U) ) ) )
& ( hskp8
| hskp0
| hskp7 )
& ( ( c2_1(a15)
& c1_1(a15)
& c3_1(a15)
& ndr1_0 )
| ~ hskp13 )
& ( ( c3_1(a10)
& ~ c2_1(a10)
& ~ c1_1(a10)
& ndr1_0 )
| ~ hskp12 )
& ( ( c3_1(a9)
& c2_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp11 )
& ( ( c3_1(a7)
& ~ c1_1(a7)
& ~ c2_1(a7)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a6)
& c3_1(a6)
& c1_1(a6)
& ndr1_0 )
| ~ hskp9 )
& ( ( c2_1(a3)
& ~ c1_1(a3)
& ~ c3_1(a3)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a1)
& c0_1(a1)
& c3_1(a1)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a14)
& c1_1(a14)
& ~ c0_1(a14)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a12)
& ~ c0_1(a12)
& ~ c1_1(a12)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c0_1(a8)
& c3_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a5)
& c0_1(a5)
& c1_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a4)
& c1_1(a4)
& ~ c3_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2)
& c0_1(a2)
& ~ c3_1(a2)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp13
| hskp6
| ! [X3] :
( c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| ~ ndr1_0 ) )
& ( hskp3
| ! [X2] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0 )
| ! [Z] :
( c2_1(Z)
| ~ c1_1(Z)
| ~ c0_1(Z)
| ~ ndr1_0 )
| hskp4 )
& ( ! [Y] :
( c0_1(Y)
| ~ c3_1(Y)
| c2_1(Y)
| ~ ndr1_0 )
| hskp12
| ! [X] :
( ~ c2_1(X)
| ~ c1_1(X)
| ~ c3_1(X)
| ~ ndr1_0 ) )
& ( hskp11
| hskp3
| hskp10 )
& ( hskp9
| hskp2
| ! [W] :
( c1_1(W)
| ~ c2_1(W)
| ~ c3_1(W)
| ~ ndr1_0 ) )
& ( ! [V] :
( c3_1(V)
| c1_1(V)
| ~ c2_1(V)
| ~ ndr1_0 )
| hskp1
| ! [U] :
( ~ c2_1(U)
| c0_1(U)
| ~ c1_1(U)
| ~ ndr1_0 ) )
& ( hskp8
| hskp0
| hskp7 )
& ( ( c2_1(a15)
& c1_1(a15)
& c3_1(a15)
& ndr1_0 )
| ~ hskp13 )
& ( ( c3_1(a10)
& ~ c2_1(a10)
& ~ c1_1(a10)
& ndr1_0 )
| ~ hskp12 )
& ( ( c3_1(a9)
& c2_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp11 )
& ( ( c3_1(a7)
& ~ c1_1(a7)
& ~ c2_1(a7)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a6)
& c3_1(a6)
& c1_1(a6)
& ndr1_0 )
| ~ hskp9 )
& ( ( c2_1(a3)
& ~ c1_1(a3)
& ~ c3_1(a3)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a1)
& c0_1(a1)
& c3_1(a1)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a14)
& c1_1(a14)
& ~ c0_1(a14)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a12)
& ~ c0_1(a12)
& ~ c1_1(a12)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c0_1(a8)
& c3_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a5)
& c0_1(a5)
& c1_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a4)
& c1_1(a4)
& ~ c3_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2)
& c0_1(a2)
& ~ c3_1(a2)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( hskp13
| hskp6
| ! [X3] :
( c3_1(X3)
| c2_1(X3)
| c0_1(X3) )
| ~ ndr1_0 )
& ( hskp3
| ! [X2] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X2) )
| ~ ndr1_0
| hskp5 )
& ( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) )
| ~ ndr1_0
| ! [Z] :
( c2_1(Z)
| ~ c1_1(Z)
| ~ c0_1(Z) )
| ~ ndr1_0
| hskp4 )
& ( ! [Y] :
( c0_1(Y)
| ~ c3_1(Y)
| c2_1(Y) )
| ~ ndr1_0
| hskp12
| ! [X] :
( ~ c2_1(X)
| ~ c1_1(X)
| ~ c3_1(X) )
| ~ ndr1_0 )
& ( hskp11
| hskp3
| hskp10 )
& ( hskp9
| hskp2
| ! [W] :
( c1_1(W)
| ~ c2_1(W)
| ~ c3_1(W) )
| ~ ndr1_0 )
& ( ! [V] :
( c3_1(V)
| c1_1(V)
| ~ c2_1(V) )
| ~ ndr1_0
| hskp1
| ! [U] :
( ~ c2_1(U)
| c0_1(U)
| ~ c1_1(U) )
| ~ ndr1_0 )
& ( hskp8
| hskp0
| hskp7 )
& ( ( c2_1(a15)
& c1_1(a15)
& c3_1(a15)
& ndr1_0 )
| ~ hskp13 )
& ( ( c3_1(a10)
& ~ c2_1(a10)
& ~ c1_1(a10)
& ndr1_0 )
| ~ hskp12 )
& ( ( c3_1(a9)
& c2_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp11 )
& ( ( c3_1(a7)
& ~ c1_1(a7)
& ~ c2_1(a7)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a6)
& c3_1(a6)
& c1_1(a6)
& ndr1_0 )
| ~ hskp9 )
& ( ( c2_1(a3)
& ~ c1_1(a3)
& ~ c3_1(a3)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a1)
& c0_1(a1)
& c3_1(a1)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a14)
& c1_1(a14)
& ~ c0_1(a14)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a12)
& ~ c0_1(a12)
& ~ c1_1(a12)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c0_1(a8)
& c3_1(a8)
& c1_1(a8)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a5)
& c0_1(a5)
& c1_1(a5)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a4)
& c1_1(a4)
& ~ c3_1(a4)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2)
& c0_1(a2)
& ~ c3_1(a2)
& ndr1_0 )
| ~ hskp0 ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
( ~ c3_1(a2)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( c0_1(a2)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c1_1(a2)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ c3_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( c1_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c2_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( c1_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( c0_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c2_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( c1_1(a8)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( c3_1(a8)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( ~ c0_1(a8)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( c1_1(a11)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( c2_1(a11)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ~ c0_1(a11)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( ~ c1_1(a12)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( ~ c0_1(a12)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( ~ c2_1(a12)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( ~ c0_1(a14)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( c1_1(a14)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( ~ c2_1(a14)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( c3_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c0_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( c1_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( ~ c3_1(a3)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( ~ c1_1(a3)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( c2_1(a3)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( c1_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( c3_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( c2_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
( ~ c2_1(a7)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
( ~ c1_1(a7)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( c3_1(a7)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
( c1_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
( c2_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
( c3_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
( ~ c1_1(a10)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
( ~ c2_1(a10)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( c3_1(a10)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
( c3_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( c1_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( c2_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
( hskp8
| hskp0
| hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp1
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
! [X0] :
( hskp9
| hskp2
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
( hskp11
| hskp3
| hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
! [X0,X1] :
( c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| hskp12
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
! [X0,X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0
| hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
! [X0] :
( hskp3
| c1_1(X0)
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
! [X0] :
( hskp13
| hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( sQ0_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f69,f72]) ).
fof(f76,definition,
( sQ2_spl
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f69,f76]) ).
fof(f80,definition,
( sQ3_spl
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f69,f80]) ).
fof(f84,definition,
( sQ4_spl
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f69,f84]) ).
fof(f88,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ5_spl
| hskp1 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( sQ5_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f88,f72]) ).
fof(f92,definition,
( sQ6_spl
<=> c3_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ6_spl
| ~ c3_1(a4) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f88,f92]) ).
fof(f96,definition,
( sQ7_spl
<=> c1_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ7_spl
| c1_1(a4) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f88,f96]) ).
fof(f100,definition,
( sQ8_spl
<=> c2_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ8_spl
| ~ c2_1(a4) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f88,f100]) ).
fof(f104,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ9_spl
| hskp2 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f104,f72]) ).
fof(f108,definition,
( sQ10_spl
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ10_spl
| c1_1(a5) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f104,f108]) ).
fof(f112,definition,
( sQ11_spl
<=> c0_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ11_spl
| c0_1(a5) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f104,f112]) ).
fof(f116,definition,
( sQ12_spl
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ12_spl
| ~ c2_1(a5) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f104,f116]) ).
fof(f120,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ13_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f120,f72]) ).
fof(f124,definition,
( sQ14_spl
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ14_spl
| c1_1(a8) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f120,f124]) ).
fof(f128,definition,
( sQ15_spl
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ15_spl
| c3_1(a8) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f120,f128]) ).
fof(f132,definition,
( sQ16_spl
<=> c0_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ16_spl
| ~ c0_1(a8) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f120,f132]) ).
fof(f136,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ17_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ17_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f136,f72]) ).
fof(f140,definition,
( sQ18_spl
<=> c1_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ18_spl
| c1_1(a11) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f136,f140]) ).
fof(f144,definition,
( sQ19_spl
<=> c2_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ19_spl
| c2_1(a11) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f136,f144]) ).
fof(f148,definition,
( sQ20_spl
<=> c0_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ20_spl
| ~ c0_1(a11) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f136,f148]) ).
fof(f152,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ21_spl
| ~ hskp5 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f152,f72]) ).
fof(f156,definition,
( sQ22_spl
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f152,f156]) ).
fof(f160,definition,
( sQ23_spl
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f152,f160]) ).
fof(f164,definition,
( sQ24_spl
<=> c2_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f152,f164]) ).
fof(f168,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ25_spl
| hskp6 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f168,f72]) ).
fof(f172,definition,
( sQ26_spl
<=> c0_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ26_spl
| ~ c0_1(a14) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f168,f172]) ).
fof(f176,definition,
( sQ27_spl
<=> c1_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ27_spl
| c1_1(a14) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f168,f176]) ).
fof(f180,definition,
( sQ28_spl
<=> c2_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ28_spl
| ~ c2_1(a14) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( ~ sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f168,f180]) ).
fof(f184,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ29_spl
| hskp7 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f184,f72]) ).
fof(f188,definition,
( sQ30_spl
<=> c3_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ30_spl
| c3_1(a1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f184,f188]) ).
fof(f192,definition,
( sQ31_spl
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ31_spl
| c0_1(a1) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f184,f192]) ).
fof(f196,definition,
( sQ32_spl
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ32_spl
| c1_1(a1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f184,f196]) ).
fof(f200,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ33_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f200,f72]) ).
fof(f204,definition,
( sQ34_spl
<=> c3_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f200,f204]) ).
fof(f208,definition,
( sQ35_spl
<=> c1_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f200,f208]) ).
fof(f212,definition,
( sQ36_spl
<=> c2_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f200,f212]) ).
fof(f216,definition,
( sQ37_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( sQ37_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f41,f216,f72]) ).
fof(f220,definition,
( sQ38_spl
<=> c1_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f42,f216,f220]) ).
fof(f224,definition,
( sQ39_spl
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ39_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f43,f216,f224]) ).
fof(f228,definition,
( sQ40_spl
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ40_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f44,f216,f228]) ).
fof(f232,definition,
( sQ41_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ41_spl
| hskp10 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f45,f232,f72]) ).
fof(f236,definition,
( sQ42_spl
<=> c2_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ42_spl
| ~ c2_1(a7) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f46,f232,f236]) ).
fof(f240,definition,
( sQ43_spl
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ43_spl
| ~ c1_1(a7) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f47,f232,f240]) ).
fof(f244,definition,
( sQ44_spl
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ44_spl
| c3_1(a7) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ44_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f48,f232,f244]) ).
fof(f248,definition,
( sQ45_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ45_spl
| ~ hskp11 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ1_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f49,f248,f72]) ).
fof(f252,definition,
( sQ46_spl
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f50,f248,f252]) ).
fof(f256,definition,
( sQ47_spl
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ47_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f51,f248,f256]) ).
fof(f260,definition,
( sQ48_spl
<=> c3_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ48_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f52,f248,f260]) ).
fof(f264,definition,
( sQ49_spl
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ49_spl
| ~ hskp12 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f53,f264,f72]) ).
fof(f268,definition,
( sQ50_spl
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f54,f264,f268]) ).
fof(f272,definition,
( sQ51_spl
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f55,f264,f272]) ).
fof(f276,definition,
( sQ52_spl
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f56,f264,f276]) ).
fof(f280,definition,
( sQ53_spl
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ53_spl
| ~ hskp13 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f57,f280,f72]) ).
fof(f284,definition,
( sQ54_spl
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f58,f280,f284]) ).
fof(f288,definition,
( sQ55_spl
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ55_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f59,f280,f288]) ).
fof(f292,definition,
( sQ56_spl
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ56_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f60,f280,f292]) ).
fof(f296,plain,
( sQ33_spl
| sQ0_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f61,f184,f69,f200]) ).
fof(f297,definition,
! [X0] :
( sQ57_spl
<=> ( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f298,plain,
! [X0] :
( ~ sQ57_spl
| ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
! [X1] :
( sQ58_spl
<=> ( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ58_spl
| sQ5_spl
| sQ57_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f62,f72,f297,f88,f300]) ).
fof(f304,definition,
! [X0] :
( sQ59_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ37_spl
| sQ9_spl
| sQ59_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f63,f72,f304,f104,f216]) ).
fof(f308,plain,
( sQ45_spl
| sQ13_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f64,f232,f120,f248]) ).
fof(f309,definition,
! [X0] :
( sQ60_spl
<=> ( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f310,plain,
! [X0] :
( ~ sQ60_spl
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
! [X1] :
( sQ61_spl
<=> ( c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f313,plain,
! [X0] :
( ~ sQ61_spl
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( sQ61_spl
| sQ49_spl
| sQ60_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f65,f72,f309,f264,f312]) ).
fof(f316,definition,
! [X0] :
( sQ62_spl
<=> ( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f317,plain,
! [X0] :
( ~ sQ62_spl
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
! [X1] :
( sQ63_spl
<=> ( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f66,f136,f72,f316,f319]) ).
fof(f323,definition,
! [X0] :
( sQ64_spl
<=> ( c1_1(X0)
| c0_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ13_spl
| sQ64_spl
| ~ sQ1_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f67,f152,f72,f323,f120]) ).
fof(f327,definition,
! [X0] :
( sQ65_spl
<=> ( c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ53_spl
| sQ25_spl
| sQ65_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f68,f72,f327,f168,f280]) ).
fof(f331,plain,
( ~ sQ31_spl
| ~ sQ62_spl
| c2_1(a1)
| ~ c1_1(a1) ),
inference(resolution,[status(thm)],[f317,f193]) ).
fof(f332,plain,
( ~ sQ11_spl
| ~ sQ62_spl
| c2_1(a5)
| ~ c1_1(a5) ),
inference(resolution,[status(thm)],[f317,f113]) ).
fof(f333,definition,
( sQ66_spl
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ31_spl
| ~ sQ62_spl
| sQ66_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f331,f196,f333,f316,f192]) ).
fof(f337,plain,
( ~ sQ11_spl
| ~ sQ62_spl
| sQ12_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f332,f108,f116,f316,f112]) ).
fof(f338,plain,
( ~ sQ57_spl
| ~ sQ19_spl
| c0_1(a11)
| ~ c1_1(a11) ),
inference(resolution,[status(thm)],[f145,f298]) ).
fof(f339,plain,
( ~ sQ60_spl
| ~ sQ19_spl
| ~ c1_1(a11)
| ~ c3_1(a11) ),
inference(resolution,[status(thm)],[f145,f310]) ).
fof(f340,plain,
( ~ sQ57_spl
| ~ sQ19_spl
| sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f338,f140,f148,f144,f297]) ).
fof(f341,definition,
( sQ67_spl
<=> c3_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( sQ67_spl
| ~ c3_1(a11) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( ~ sQ60_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f339,f341,f140,f144,f309]) ).
fof(f345,plain,
( ~ sQ15_spl
| ~ sQ61_spl
| c0_1(a8)
| c2_1(a8) ),
inference(resolution,[status(thm)],[f313,f129]) ).
fof(f346,plain,
( ~ sQ30_spl
| ~ sQ61_spl
| c0_1(a1)
| c2_1(a1) ),
inference(resolution,[status(thm)],[f313,f189]) ).
fof(f347,plain,
( ~ sQ44_spl
| ~ sQ61_spl
| c0_1(a7)
| c2_1(a7) ),
inference(resolution,[status(thm)],[f313,f245]) ).
fof(f348,definition,
( sQ68_spl
<=> c2_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ68_spl
| c2_1(a8) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ15_spl
| ~ sQ61_spl
| sQ16_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f345,f348,f132,f312,f128]) ).
fof(f352,plain,
( ~ sQ30_spl
| ~ sQ61_spl
| sQ31_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f346,f333,f192,f312,f188]) ).
fof(f353,definition,
( sQ69_spl
<=> c0_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ69_spl
| c0_1(a7) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( ~ sQ44_spl
| ~ sQ61_spl
| sQ69_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f347,f236,f353,f312,f244]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| ~ sQ37_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ57_spl
| sQ61_spl
| ~ sQ62_spl
| ~ sQ67_spl
| sQ68_spl
| sQ69_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN490+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:04:37 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.11/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.11/0.41 % Elapsed time: 0.039239 seconds
% 0.11/0.41 % CPU time: 0.094384 seconds
% 0.11/0.41 % Total memory used: 12.214 MB
% 0.11/0.41 % Net memory used: 12.190 MB
%------------------------------------------------------------------------------