%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN495+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 : n013.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 03:19:50 PM UTC 2026
% Result : CounterSatisfiable 0.15s 15.41s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp12
| ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| ~ c3_1(Z)
| c0_1(Z) ) )
| hskp7 )
& ( hskp6
| hskp5
| hskp16 )
& ( ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| ~ c0_1(Y)
| c1_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( ~ c3_1(X)
| c0_1(X)
| c1_1(X) ) )
| hskp4 )
& ( hskp15
| ! [W] :
( ndr1_0
=> ( ~ c3_1(W)
| ~ c1_1(W)
| c0_1(W) ) )
| hskp3 )
& ( hskp14
| hskp2
| hskp13 )
& ( hskp12
| hskp1
| hskp11 )
& ( hskp10
| ! [V] :
( ndr1_0
=> ( ~ c1_1(V)
| ~ c0_1(V)
| c3_1(V) ) )
| hskp9 )
& ( hskp8
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| c1_1(U)
| c2_1(U) ) )
| hskp0 )
& ( ( c3_1(a74)
& c2_1(a74)
& ~ c1_1(a74)
& ndr1_0 )
| ~ hskp16 )
& ( ( c0_1(a72)
& c3_1(a72)
& c1_1(a72)
& ndr1_0 )
| ~ hskp15 )
& ( ( c1_1(a70)
& c3_1(a70)
& ~ c0_1(a70)
& ndr1_0 )
| ~ hskp14 )
& ( ( c0_1(a68)
& c2_1(a68)
& ~ c1_1(a68)
& ndr1_0 )
| ~ hskp13 )
& ( ( c1_1(a67)
& ~ c2_1(a67)
& ~ c3_1(a67)
& ndr1_0 )
| ~ hskp12 )
& ( ( c2_1(a65)
& ~ c0_1(a65)
& ~ c1_1(a65)
& ndr1_0 )
| ~ hskp11 )
& ( ( c0_1(a64)
& ~ c2_1(a64)
& ~ c3_1(a64)
& ndr1_0 )
| ~ hskp10 )
& ( ( c3_1(a63)
& ~ c1_1(a63)
& c2_1(a63)
& ndr1_0 )
| ~ hskp9 )
& ( ( c0_1(a62)
& c3_1(a62)
& ~ c1_1(a62)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a77)
& c3_1(a77)
& ~ c2_1(a77)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a75)
& c2_1(a75)
& ~ c0_1(a75)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a73)
& c0_1(a73)
& c1_1(a73)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a71)
& c3_1(a71)
& c0_1(a71)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a69)
& c3_1(a69)
& ~ c0_1(a69)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a66)
& c1_1(a66)
& c0_1(a66)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a61)
& c1_1(a61)
& c3_1(a61)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp12
| ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| ~ c3_1(Z)
| c0_1(Z) ) )
| hskp7 )
& ( hskp6
| hskp5
| hskp16 )
& ( ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| ~ c0_1(Y)
| c1_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( ~ c3_1(X)
| c0_1(X)
| c1_1(X) ) )
| hskp4 )
& ( hskp15
| ! [W] :
( ndr1_0
=> ( ~ c3_1(W)
| ~ c1_1(W)
| c0_1(W) ) )
| hskp3 )
& ( hskp14
| hskp2
| hskp13 )
& ( hskp12
| hskp1
| hskp11 )
& ( hskp10
| ! [V] :
( ndr1_0
=> ( ~ c1_1(V)
| ~ c0_1(V)
| c3_1(V) ) )
| hskp9 )
& ( hskp8
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| c1_1(U)
| c2_1(U) ) )
| hskp0 )
& ( ( c3_1(a74)
& c2_1(a74)
& ~ c1_1(a74)
& ndr1_0 )
| ~ hskp16 )
& ( ( c0_1(a72)
& c3_1(a72)
& c1_1(a72)
& ndr1_0 )
| ~ hskp15 )
& ( ( c1_1(a70)
& c3_1(a70)
& ~ c0_1(a70)
& ndr1_0 )
| ~ hskp14 )
& ( ( c0_1(a68)
& c2_1(a68)
& ~ c1_1(a68)
& ndr1_0 )
| ~ hskp13 )
& ( ( c1_1(a67)
& ~ c2_1(a67)
& ~ c3_1(a67)
& ndr1_0 )
| ~ hskp12 )
& ( ( c2_1(a65)
& ~ c0_1(a65)
& ~ c1_1(a65)
& ndr1_0 )
| ~ hskp11 )
& ( ( c0_1(a64)
& ~ c2_1(a64)
& ~ c3_1(a64)
& ndr1_0 )
| ~ hskp10 )
& ( ( c3_1(a63)
& ~ c1_1(a63)
& c2_1(a63)
& ndr1_0 )
| ~ hskp9 )
& ( ( c0_1(a62)
& c3_1(a62)
& ~ c1_1(a62)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a77)
& c3_1(a77)
& ~ c2_1(a77)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a75)
& c2_1(a75)
& ~ c0_1(a75)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a73)
& c0_1(a73)
& c1_1(a73)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a71)
& c3_1(a71)
& c0_1(a71)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a69)
& c3_1(a69)
& ~ c0_1(a69)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a66)
& c1_1(a66)
& c0_1(a66)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a61)
& c1_1(a61)
& c3_1(a61)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp12
| ! [Z] :
( c1_1(Z)
| ~ c3_1(Z)
| c0_1(Z)
| ~ ndr1_0 )
| hskp7 )
& ( hskp6
| hskp5
| hskp16 )
& ( ! [Y] :
( ~ c2_1(Y)
| ~ c0_1(Y)
| c1_1(Y)
| ~ ndr1_0 )
| ! [X] :
( ~ c3_1(X)
| c0_1(X)
| c1_1(X)
| ~ ndr1_0 )
| hskp4 )
& ( hskp15
| ! [W] :
( ~ c3_1(W)
| ~ c1_1(W)
| c0_1(W)
| ~ ndr1_0 )
| hskp3 )
& ( hskp14
| hskp2
| hskp13 )
& ( hskp12
| hskp1
| hskp11 )
& ( hskp10
| ! [V] :
( ~ c1_1(V)
| ~ c0_1(V)
| c3_1(V)
| ~ ndr1_0 )
| hskp9 )
& ( hskp8
| ! [U] :
( c3_1(U)
| c1_1(U)
| c2_1(U)
| ~ ndr1_0 )
| hskp0 )
& ( ( c3_1(a74)
& c2_1(a74)
& ~ c1_1(a74)
& ndr1_0 )
| ~ hskp16 )
& ( ( c0_1(a72)
& c3_1(a72)
& c1_1(a72)
& ndr1_0 )
| ~ hskp15 )
& ( ( c1_1(a70)
& c3_1(a70)
& ~ c0_1(a70)
& ndr1_0 )
| ~ hskp14 )
& ( ( c0_1(a68)
& c2_1(a68)
& ~ c1_1(a68)
& ndr1_0 )
| ~ hskp13 )
& ( ( c1_1(a67)
& ~ c2_1(a67)
& ~ c3_1(a67)
& ndr1_0 )
| ~ hskp12 )
& ( ( c2_1(a65)
& ~ c0_1(a65)
& ~ c1_1(a65)
& ndr1_0 )
| ~ hskp11 )
& ( ( c0_1(a64)
& ~ c2_1(a64)
& ~ c3_1(a64)
& ndr1_0 )
| ~ hskp10 )
& ( ( c3_1(a63)
& ~ c1_1(a63)
& c2_1(a63)
& ndr1_0 )
| ~ hskp9 )
& ( ( c0_1(a62)
& c3_1(a62)
& ~ c1_1(a62)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a77)
& c3_1(a77)
& ~ c2_1(a77)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a75)
& c2_1(a75)
& ~ c0_1(a75)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a73)
& c0_1(a73)
& c1_1(a73)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a71)
& c3_1(a71)
& c0_1(a71)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a69)
& c3_1(a69)
& ~ c0_1(a69)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a66)
& c1_1(a66)
& c0_1(a66)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a61)
& c1_1(a61)
& c3_1(a61)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( hskp12
| ! [Z] :
( c1_1(Z)
| ~ c3_1(Z)
| c0_1(Z) )
| ~ ndr1_0
| hskp7 )
& ( hskp6
| hskp5
| hskp16 )
& ( ! [Y] :
( ~ c2_1(Y)
| ~ c0_1(Y)
| c1_1(Y) )
| ~ ndr1_0
| ! [X] :
( ~ c3_1(X)
| c0_1(X)
| c1_1(X) )
| ~ ndr1_0
| hskp4 )
& ( hskp15
| ! [W] :
( ~ c3_1(W)
| ~ c1_1(W)
| c0_1(W) )
| ~ ndr1_0
| hskp3 )
& ( hskp14
| hskp2
| hskp13 )
& ( hskp12
| hskp1
| hskp11 )
& ( hskp10
| ! [V] :
( ~ c1_1(V)
| ~ c0_1(V)
| c3_1(V) )
| ~ ndr1_0
| hskp9 )
& ( hskp8
| ! [U] :
( c3_1(U)
| c1_1(U)
| c2_1(U) )
| ~ ndr1_0
| hskp0 )
& ( ( c3_1(a74)
& c2_1(a74)
& ~ c1_1(a74)
& ndr1_0 )
| ~ hskp16 )
& ( ( c0_1(a72)
& c3_1(a72)
& c1_1(a72)
& ndr1_0 )
| ~ hskp15 )
& ( ( c1_1(a70)
& c3_1(a70)
& ~ c0_1(a70)
& ndr1_0 )
| ~ hskp14 )
& ( ( c0_1(a68)
& c2_1(a68)
& ~ c1_1(a68)
& ndr1_0 )
| ~ hskp13 )
& ( ( c1_1(a67)
& ~ c2_1(a67)
& ~ c3_1(a67)
& ndr1_0 )
| ~ hskp12 )
& ( ( c2_1(a65)
& ~ c0_1(a65)
& ~ c1_1(a65)
& ndr1_0 )
| ~ hskp11 )
& ( ( c0_1(a64)
& ~ c2_1(a64)
& ~ c3_1(a64)
& ndr1_0 )
| ~ hskp10 )
& ( ( c3_1(a63)
& ~ c1_1(a63)
& c2_1(a63)
& ndr1_0 )
| ~ hskp9 )
& ( ( c0_1(a62)
& c3_1(a62)
& ~ c1_1(a62)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c0_1(a77)
& c3_1(a77)
& ~ c2_1(a77)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a76)
& c1_1(a76)
& c0_1(a76)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a75)
& c2_1(a75)
& ~ c0_1(a75)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a73)
& c0_1(a73)
& c1_1(a73)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a71)
& c3_1(a71)
& c0_1(a71)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a69)
& c3_1(a69)
& ~ c0_1(a69)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a66)
& c1_1(a66)
& c0_1(a66)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a61)
& c1_1(a61)
& c3_1(a61)
& 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(a61)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( c1_1(a61)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c2_1(a61)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( c0_1(a66)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( c1_1(a66)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c3_1(a66)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( ~ c0_1(a69)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( c3_1(a69)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c2_1(a69)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( c0_1(a71)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( c3_1(a71)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( ~ c1_1(a71)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( c1_1(a73)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( c0_1(a73)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ~ c2_1(a73)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( ~ c0_1(a75)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( c2_1(a75)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( ~ c1_1(a75)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( c0_1(a76)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( c1_1(a76)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( ~ c2_1(a76)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( ~ c2_1(a77)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c3_1(a77)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( ~ c0_1(a77)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( ~ c1_1(a62)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( c3_1(a62)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( c0_1(a62)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( c2_1(a63)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( ~ c1_1(a63)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( c3_1(a63)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
( ~ c3_1(a64)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
( ~ c2_1(a64)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( c0_1(a64)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
( ~ c1_1(a65)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
( ~ c0_1(a65)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
( c2_1(a65)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
( ~ c3_1(a67)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
( ~ c2_1(a67)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( c1_1(a67)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
( ~ c1_1(a68)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( c2_1(a68)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( c0_1(a68)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
( ~ c0_1(a70)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
( c3_1(a70)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
( c1_1(a70)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
( c1_1(a72)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
( c3_1(a72)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
( c0_1(a72)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( ndr1_0
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
( ~ c1_1(a74)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
( c2_1(a74)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
( c3_1(a74)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
! [X0] :
( hskp8
| c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
! [X0] :
( hskp10
| ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
( hskp12
| hskp1
| hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
( hskp14
| hskp2
| hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
! [X0] :
( hskp15
| ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
! [X0,X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f79,plain,
( hskp6
| hskp5
| hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f80,plain,
! [X0] :
( hskp12
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f81,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ0_spl
| hskp0 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f81,f84]) ).
fof(f88,definition,
( sQ2_spl
<=> c3_1(a61) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ2_spl
| c3_1(a61) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f81,f88]) ).
fof(f92,definition,
( sQ3_spl
<=> c1_1(a61) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ3_spl
| c1_1(a61) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f81,f92]) ).
fof(f96,definition,
( sQ4_spl
<=> c2_1(a61) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ4_spl
| ~ c2_1(a61) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f81,f96]) ).
fof(f100,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ5_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f100,f84]) ).
fof(f104,definition,
( sQ6_spl
<=> c0_1(a66) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f100,f104]) ).
fof(f108,definition,
( sQ7_spl
<=> c1_1(a66) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f100,f108]) ).
fof(f112,definition,
( sQ8_spl
<=> c3_1(a66) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f100,f112]) ).
fof(f116,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ9_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f116,f84]) ).
fof(f120,definition,
( sQ10_spl
<=> c0_1(a69) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f116,f120]) ).
fof(f124,definition,
( sQ11_spl
<=> c3_1(a69) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f116,f124]) ).
fof(f128,definition,
( sQ12_spl
<=> c2_1(a69) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f116,f128]) ).
fof(f132,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ13_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f132,f84]) ).
fof(f136,definition,
( sQ14_spl
<=> c0_1(a71) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ14_spl
| c0_1(a71) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f132,f136]) ).
fof(f140,definition,
( sQ15_spl
<=> c3_1(a71) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ15_spl
| c3_1(a71) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f132,f140]) ).
fof(f144,definition,
( sQ16_spl
<=> c1_1(a71) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ16_spl
| ~ c1_1(a71) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f132,f144]) ).
fof(f148,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ17_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ17_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f148,f84]) ).
fof(f152,definition,
( sQ18_spl
<=> c1_1(a73) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ18_spl
| c1_1(a73) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f148,f152]) ).
fof(f156,definition,
( sQ19_spl
<=> c0_1(a73) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ19_spl
| c0_1(a73) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f148,f156]) ).
fof(f160,definition,
( sQ20_spl
<=> c2_1(a73) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ20_spl
| ~ c2_1(a73) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f148,f160]) ).
fof(f164,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ21_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f164,f84]) ).
fof(f168,definition,
( sQ22_spl
<=> c0_1(a75) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ22_spl
| ~ c0_1(a75) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f164,f168]) ).
fof(f172,definition,
( sQ23_spl
<=> c2_1(a75) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ23_spl
| c2_1(a75) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f164,f172]) ).
fof(f176,definition,
( sQ24_spl
<=> c1_1(a75) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ24_spl
| ~ c1_1(a75) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f164,f176]) ).
fof(f180,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ25_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f180,f84]) ).
fof(f184,definition,
( sQ26_spl
<=> c0_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f180,f184]) ).
fof(f188,definition,
( sQ27_spl
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f180,f188]) ).
fof(f192,definition,
( sQ28_spl
<=> c2_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f180,f192]) ).
fof(f196,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ29_spl
| hskp7 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f196,f84]) ).
fof(f200,definition,
( sQ30_spl
<=> c2_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ30_spl
| ~ c2_1(a77) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f196,f200]) ).
fof(f204,definition,
( sQ31_spl
<=> c3_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ31_spl
| c3_1(a77) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f196,f204]) ).
fof(f208,definition,
( sQ32_spl
<=> c0_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ32_spl
| ~ c0_1(a77) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( ~ sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f196,f208]) ).
fof(f212,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ33_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f212,f84]) ).
fof(f216,definition,
( sQ34_spl
<=> c1_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f212,f216]) ).
fof(f220,definition,
( sQ35_spl
<=> c3_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f212,f220]) ).
fof(f224,definition,
( sQ36_spl
<=> c0_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f212,f224]) ).
fof(f228,definition,
( sQ37_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ37_spl
| hskp9 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f41,f228,f84]) ).
fof(f232,definition,
( sQ38_spl
<=> c2_1(a63) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ38_spl
| c2_1(a63) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f42,f228,f232]) ).
fof(f236,definition,
( sQ39_spl
<=> c1_1(a63) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ39_spl
| ~ c1_1(a63) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f43,f228,f236]) ).
fof(f240,definition,
( sQ40_spl
<=> c3_1(a63) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ40_spl
| c3_1(a63) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ40_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f44,f228,f240]) ).
fof(f244,definition,
( sQ41_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ41_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f45,f244,f84]) ).
fof(f248,definition,
( sQ42_spl
<=> c3_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f46,f244,f248]) ).
fof(f252,definition,
( sQ43_spl
<=> c2_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f47,f244,f252]) ).
fof(f256,definition,
( sQ44_spl
<=> c0_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ44_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f48,f244,f256]) ).
fof(f260,definition,
( sQ45_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ45_spl
| hskp11 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ1_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f49,f260,f84]) ).
fof(f264,definition,
( sQ46_spl
<=> c1_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ46_spl
| ~ c1_1(a65) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f50,f260,f264]) ).
fof(f268,definition,
( sQ47_spl
<=> c0_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ47_spl
| ~ c0_1(a65) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f51,f260,f268]) ).
fof(f272,definition,
( sQ48_spl
<=> c2_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ48_spl
| c2_1(a65) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ48_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f52,f260,f272]) ).
fof(f276,definition,
( sQ49_spl
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ49_spl
| ~ hskp12 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f53,f276,f84]) ).
fof(f280,definition,
( sQ50_spl
<=> c3_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f54,f276,f280]) ).
fof(f284,definition,
( sQ51_spl
<=> c2_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f55,f276,f284]) ).
fof(f288,definition,
( sQ52_spl
<=> c1_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f56,f276,f288]) ).
fof(f292,definition,
( sQ53_spl
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ53_spl
| hskp13 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f57,f292,f84]) ).
fof(f296,definition,
( sQ54_spl
<=> c1_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ54_spl
| ~ c1_1(a68) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f58,f292,f296]) ).
fof(f300,definition,
( sQ55_spl
<=> c2_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ55_spl
| c2_1(a68) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ55_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f59,f292,f300]) ).
fof(f304,definition,
( sQ56_spl
<=> c0_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ56_spl
| c0_1(a68) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ56_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f60,f292,f304]) ).
fof(f308,definition,
( sQ57_spl
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ57_spl
| ~ hskp14 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( sQ1_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f61,f308,f84]) ).
fof(f312,definition,
( sQ58_spl
<=> c0_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f62,f308,f312]) ).
fof(f316,definition,
( sQ59_spl
<=> c3_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ59_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f63,f308,f316]) ).
fof(f320,definition,
( sQ60_spl
<=> c1_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ60_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f64,f308,f320]) ).
fof(f324,definition,
( sQ61_spl
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ61_spl
| ~ hskp15 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ1_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f65,f324,f84]) ).
fof(f328,definition,
( sQ62_spl
<=> c1_1(a72) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f66,f324,f328]) ).
fof(f332,definition,
( sQ63_spl
<=> c3_1(a72) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ63_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f67,f324,f332]) ).
fof(f336,definition,
( sQ64_spl
<=> c0_1(a72) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ64_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f68,f324,f336]) ).
fof(f340,definition,
( sQ65_spl
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ65_spl
| ~ hskp16 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ1_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f69,f340,f84]) ).
fof(f344,definition,
( sQ66_spl
<=> c1_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f70,f340,f344]) ).
fof(f348,definition,
( sQ67_spl
<=> c2_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f71,f340,f348]) ).
fof(f352,definition,
( sQ68_spl
<=> c3_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ68_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f72,f340,f352]) ).
fof(f356,definition,
! [X0] :
( sQ69_spl
<=> ( c3_1(X0)
| c1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ33_spl
| sQ69_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f81,f84,f356,f212]) ).
fof(f360,definition,
! [X0] :
( sQ70_spl
<=> ( ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( sQ41_spl
| sQ70_spl
| ~ sQ1_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f74,f228,f84,f360,f244]) ).
fof(f364,plain,
( sQ49_spl
| sQ5_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f75,f260,f100,f276]) ).
fof(f365,plain,
( sQ57_spl
| sQ9_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f76,f292,f116,f308]) ).
fof(f366,definition,
! [X0] :
( sQ71_spl
<=> ( ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ61_spl
| sQ71_spl
| ~ sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f77,f132,f84,f366,f324]) ).
fof(f370,definition,
! [X0] :
( sQ72_spl
<=> ( ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f371,plain,
! [X0] :
( ~ sQ72_spl
| ~ c3_1(X0)
| c0_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
! [X1] :
( sQ73_spl
<=> ( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0] :
( ~ sQ73_spl
| ~ c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ73_spl
| sQ72_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f78,f148,f84,f370,f373]) ).
fof(f377,plain,
( sQ25_spl
| sQ21_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f79,f340,f164,f180]) ).
fof(f378,plain,
( sQ49_spl
| sQ72_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f80,f196,f84,f370,f276]) ).
fof(f379,plain,
( ~ sQ15_spl
| ~ sQ72_spl
| c0_1(a71)
| c1_1(a71) ),
inference(resolution,[status(thm)],[f371,f141]) ).
fof(f380,plain,
( ~ sQ15_spl
| ~ sQ72_spl
| sQ14_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f379,f144,f136,f370,f140]) ).
fof(f381,plain,
( ~ sQ72_spl
| ~ sQ31_spl
| c0_1(a77)
| c1_1(a77) ),
inference(resolution,[status(thm)],[f205,f371]) ).
fof(f382,definition,
( sQ74_spl
<=> c1_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ74_spl
| c1_1(a77) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ sQ72_spl
| ~ sQ31_spl
| sQ32_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f381,f382,f208,f204,f370]) ).
fof(f386,plain,
( ~ sQ56_spl
| ~ sQ73_spl
| ~ c2_1(a68)
| c1_1(a68) ),
inference(resolution,[status(thm)],[f374,f305]) ).
fof(f387,plain,
( ~ sQ14_spl
| ~ sQ73_spl
| ~ c2_1(a71)
| c1_1(a71) ),
inference(resolution,[status(thm)],[f374,f137]) ).
fof(f388,plain,
( ~ sQ56_spl
| ~ sQ73_spl
| ~ sQ55_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f386,f296,f300,f373,f304]) ).
fof(f389,definition,
( sQ75_spl
<=> c2_1(a71) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( sQ75_spl
| ~ c2_1(a71) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( ~ sQ14_spl
| ~ sQ73_spl
| ~ sQ75_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f387,f144,f389,f373,f136]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ9_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| ~ sQ20_spl
| sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| sQ48_spl
| ~ sQ49_spl
| sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ61_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ74_spl
| ~ sQ75_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN495+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.38 % Computer : n013.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Mon Sep 21 11:02:38 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 % Drodi V4.1.1
% 0.15/15.41 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.15/15.41 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/15.43 % Elapsed time: 0.038695 seconds
% 0.15/15.43 % CPU time: 0.111583 seconds
% 0.15/15.43 % Total memory used: 18.968 MB
% 0.15/15.43 % Net memory used: 18.946 MB
%------------------------------------------------------------------------------