%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN496+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 : n006.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 0.14s 10.67s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp1
| hskp10
| hskp4 )
& ( ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| c0_1(X6)
| c2_1(X6) ) )
| hskp3
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) ) )
& ( hskp9
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) )
| hskp2 )
& ( ! [Z] :
( ndr1_0
=> ( ~ c0_1(Z)
| c1_1(Z)
| ~ c3_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| ~ c1_1(Y)
| c3_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( c3_1(X)
| c1_1(X)
| c2_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| c3_1(W)
| c0_1(W) ) )
| hskp8
| hskp1 )
& ( hskp7
| hskp0
| hskp6 )
& ( hskp5
| ! [V] :
( ndr1_0
=> ( c3_1(V)
| c1_1(V)
| c2_1(V) ) )
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c2_1(U)
| ~ c0_1(U) ) ) )
& ( ( c1_1(a89)
& ~ c2_1(a89)
& ~ c0_1(a89)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a86)
& c0_1(a86)
& ~ c3_1(a86)
& ndr1_0 )
| ~ hskp9 )
& ( ( c1_1(a84)
& c3_1(a84)
& ~ c2_1(a84)
& ndr1_0 )
| ~ hskp8 )
& ( ( c2_1(a82)
& c1_1(a82)
& ~ c3_1(a82)
& ndr1_0 )
| ~ hskp7 )
& ( ( c1_1(a80)
& c0_1(a80)
& c3_1(a80)
& ndr1_0 )
| ~ hskp6 )
& ( ( c2_1(a79)
& c1_1(a79)
& c3_1(a79)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a88)
& ~ c0_1(a88)
& ~ c2_1(a88)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a87)
& c2_1(a87)
& c1_1(a87)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a85)
& ~ c0_1(a85)
& c1_1(a85)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a83)
& c2_1(a83)
& ~ c3_1(a83)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a81)
& ~ c3_1(a81)
& ~ c1_1(a81)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp1
| hskp10
| hskp4 )
& ( ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| c0_1(X6)
| c2_1(X6) ) )
| hskp3
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) ) )
& ( hskp9
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) )
| hskp2 )
& ( ! [Z] :
( ndr1_0
=> ( ~ c0_1(Z)
| c1_1(Z)
| ~ c3_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( ~ c2_1(Y)
| ~ c1_1(Y)
| c3_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( c3_1(X)
| c1_1(X)
| c2_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| c3_1(W)
| c0_1(W) ) )
| hskp8
| hskp1 )
& ( hskp7
| hskp0
| hskp6 )
& ( hskp5
| ! [V] :
( ndr1_0
=> ( c3_1(V)
| c1_1(V)
| c2_1(V) ) )
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c2_1(U)
| ~ c0_1(U) ) ) )
& ( ( c1_1(a89)
& ~ c2_1(a89)
& ~ c0_1(a89)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a86)
& c0_1(a86)
& ~ c3_1(a86)
& ndr1_0 )
| ~ hskp9 )
& ( ( c1_1(a84)
& c3_1(a84)
& ~ c2_1(a84)
& ndr1_0 )
| ~ hskp8 )
& ( ( c2_1(a82)
& c1_1(a82)
& ~ c3_1(a82)
& ndr1_0 )
| ~ hskp7 )
& ( ( c1_1(a80)
& c0_1(a80)
& c3_1(a80)
& ndr1_0 )
| ~ hskp6 )
& ( ( c2_1(a79)
& c1_1(a79)
& c3_1(a79)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a88)
& ~ c0_1(a88)
& ~ c2_1(a88)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a87)
& c2_1(a87)
& c1_1(a87)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a85)
& ~ c0_1(a85)
& c1_1(a85)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a83)
& c2_1(a83)
& ~ c3_1(a83)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a81)
& ~ c3_1(a81)
& ~ c1_1(a81)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp1
| hskp10
| hskp4 )
& ( ! [X6] :
( c3_1(X6)
| c0_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| hskp3
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5)
| ~ ndr1_0 ) )
& ( hskp9
| ! [X4] :
( c3_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4)
| ~ ndr1_0 )
| ! [X3] :
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0 ) )
& ( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 )
| hskp2 )
& ( ! [Z] :
( ~ c0_1(Z)
| c1_1(Z)
| ~ c3_1(Z)
| ~ ndr1_0 )
| ! [Y] :
( ~ c2_1(Y)
| ~ c1_1(Y)
| c3_1(Y)
| ~ ndr1_0 )
| ! [X] :
( c3_1(X)
| c1_1(X)
| c2_1(X)
| ~ ndr1_0 ) )
& ( ! [W] :
( ~ c2_1(W)
| c3_1(W)
| c0_1(W)
| ~ ndr1_0 )
| hskp8
| hskp1 )
& ( hskp7
| hskp0
| hskp6 )
& ( hskp5
| ! [V] :
( c3_1(V)
| c1_1(V)
| c2_1(V)
| ~ ndr1_0 )
| ! [U] :
( c3_1(U)
| ~ c2_1(U)
| ~ c0_1(U)
| ~ ndr1_0 ) )
& ( ( c1_1(a89)
& ~ c2_1(a89)
& ~ c0_1(a89)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a86)
& c0_1(a86)
& ~ c3_1(a86)
& ndr1_0 )
| ~ hskp9 )
& ( ( c1_1(a84)
& c3_1(a84)
& ~ c2_1(a84)
& ndr1_0 )
| ~ hskp8 )
& ( ( c2_1(a82)
& c1_1(a82)
& ~ c3_1(a82)
& ndr1_0 )
| ~ hskp7 )
& ( ( c1_1(a80)
& c0_1(a80)
& c3_1(a80)
& ndr1_0 )
| ~ hskp6 )
& ( ( c2_1(a79)
& c1_1(a79)
& c3_1(a79)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a88)
& ~ c0_1(a88)
& ~ c2_1(a88)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a87)
& c2_1(a87)
& c1_1(a87)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a85)
& ~ c0_1(a85)
& c1_1(a85)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a83)
& c2_1(a83)
& ~ c3_1(a83)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a81)
& ~ c3_1(a81)
& ~ c1_1(a81)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( hskp1
| hskp10
| hskp4 )
& ( ! [X6] :
( c3_1(X6)
| c0_1(X6)
| c2_1(X6) )
| ~ ndr1_0
| hskp3
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) )
| ~ ndr1_0 )
& ( hskp9
| ! [X4] :
( c3_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X4) )
| ~ ndr1_0
| ! [X3] :
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3) )
| ~ ndr1_0 )
& ( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) )
| ~ ndr1_0
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1) )
| ~ ndr1_0
| hskp2 )
& ( ! [Z] :
( ~ c0_1(Z)
| c1_1(Z)
| ~ c3_1(Z) )
| ~ ndr1_0
| ! [Y] :
( ~ c2_1(Y)
| ~ c1_1(Y)
| c3_1(Y) )
| ~ ndr1_0
| ! [X] :
( c3_1(X)
| c1_1(X)
| c2_1(X) )
| ~ ndr1_0 )
& ( ! [W] :
( ~ c2_1(W)
| c3_1(W)
| c0_1(W) )
| ~ ndr1_0
| hskp8
| hskp1 )
& ( hskp7
| hskp0
| hskp6 )
& ( hskp5
| ! [V] :
( c3_1(V)
| c1_1(V)
| c2_1(V) )
| ~ ndr1_0
| ! [U] :
( c3_1(U)
| ~ c2_1(U)
| ~ c0_1(U) )
| ~ ndr1_0 )
& ( ( c1_1(a89)
& ~ c2_1(a89)
& ~ c0_1(a89)
& ndr1_0 )
| ~ hskp10 )
& ( ( c2_1(a86)
& c0_1(a86)
& ~ c3_1(a86)
& ndr1_0 )
| ~ hskp9 )
& ( ( c1_1(a84)
& c3_1(a84)
& ~ c2_1(a84)
& ndr1_0 )
| ~ hskp8 )
& ( ( c2_1(a82)
& c1_1(a82)
& ~ c3_1(a82)
& ndr1_0 )
| ~ hskp7 )
& ( ( c1_1(a80)
& c0_1(a80)
& c3_1(a80)
& ndr1_0 )
| ~ hskp6 )
& ( ( c2_1(a79)
& c1_1(a79)
& c3_1(a79)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a88)
& ~ c0_1(a88)
& ~ c2_1(a88)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a87)
& c2_1(a87)
& c1_1(a87)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a85)
& ~ c0_1(a85)
& c1_1(a85)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a83)
& c2_1(a83)
& ~ c3_1(a83)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a81)
& ~ c3_1(a81)
& ~ c1_1(a81)
& ndr1_0 )
| ~ hskp0 ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
( ~ c1_1(a81)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( ~ c3_1(a81)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c0_1(a81)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ c3_1(a83)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( c2_1(a83)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c1_1(a83)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( c1_1(a85)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( ~ c0_1(a85)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c3_1(a85)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( c1_1(a87)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( c2_1(a87)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( ~ c3_1(a87)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( ~ c2_1(a88)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( ~ c0_1(a88)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ~ c1_1(a88)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( c3_1(a79)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( c1_1(a79)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( c2_1(a79)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( c3_1(a80)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( c0_1(a80)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( c1_1(a80)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( ~ c3_1(a82)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c1_1(a82)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( c2_1(a82)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( ~ c2_1(a84)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( c3_1(a84)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( c1_1(a84)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( ~ c3_1(a86)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( c0_1(a86)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( c2_1(a86)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
( ~ c0_1(a89)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
( ~ c2_1(a89)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( c1_1(a89)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
! [X0,X1] :
( hskp5
| c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
( hskp7
| hskp0
| hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| hskp8
| hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
! [X0,X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
! [X0,X1] :
( hskp9
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
! [X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( hskp1
| hskp10
| hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ0_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f57,f60]) ).
fof(f64,definition,
( sQ2_spl
<=> c1_1(a81) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f57,f64]) ).
fof(f68,definition,
( sQ3_spl
<=> c3_1(a81) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f57,f68]) ).
fof(f72,definition,
( sQ4_spl
<=> c0_1(a81) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f57,f72]) ).
fof(f76,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ5_spl
| hskp1 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f76,f60]) ).
fof(f80,definition,
( sQ6_spl
<=> c3_1(a83) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ6_spl
| ~ c3_1(a83) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f76,f80]) ).
fof(f84,definition,
( sQ7_spl
<=> c2_1(a83) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ7_spl
| c2_1(a83) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f76,f84]) ).
fof(f88,definition,
( sQ8_spl
<=> c1_1(a83) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( sQ8_spl
| ~ c1_1(a83) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f76,f88]) ).
fof(f92,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ9_spl
| hskp2 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( sQ9_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f92,f60]) ).
fof(f96,definition,
( sQ10_spl
<=> c1_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ10_spl
| c1_1(a85) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f92,f96]) ).
fof(f100,definition,
( sQ11_spl
<=> c0_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ11_spl
| ~ c0_1(a85) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f92,f100]) ).
fof(f104,definition,
( sQ12_spl
<=> c3_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ12_spl
| ~ c3_1(a85) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f92,f104]) ).
fof(f108,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ13_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ13_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f108,f60]) ).
fof(f112,definition,
( sQ14_spl
<=> c1_1(a87) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ14_spl
| c1_1(a87) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f108,f112]) ).
fof(f116,definition,
( sQ15_spl
<=> c2_1(a87) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ15_spl
| c2_1(a87) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f108,f116]) ).
fof(f120,definition,
( sQ16_spl
<=> c3_1(a87) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ16_spl
| ~ c3_1(a87) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f108,f120]) ).
fof(f124,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ17_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f124,f60]) ).
fof(f128,definition,
( sQ18_spl
<=> c2_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ18_spl
| ~ c2_1(a88) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f124,f128]) ).
fof(f132,definition,
( sQ19_spl
<=> c0_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ19_spl
| ~ c0_1(a88) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f124,f132]) ).
fof(f136,definition,
( sQ20_spl
<=> c1_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ20_spl
| ~ c1_1(a88) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f124,f136]) ).
fof(f140,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ21_spl
| ~ hskp5 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f140,f60]) ).
fof(f144,definition,
( sQ22_spl
<=> c3_1(a79) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f140,f144]) ).
fof(f148,definition,
( sQ23_spl
<=> c1_1(a79) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f140,f148]) ).
fof(f152,definition,
( sQ24_spl
<=> c2_1(a79) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f140,f152]) ).
fof(f156,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ25_spl
| hskp6 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f156,f60]) ).
fof(f160,definition,
( sQ26_spl
<=> c3_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ26_spl
| c3_1(a80) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f156,f160]) ).
fof(f164,definition,
( sQ27_spl
<=> c0_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ27_spl
| c0_1(a80) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f156,f164]) ).
fof(f168,definition,
( sQ28_spl
<=> c1_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ28_spl
| c1_1(a80) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f156,f168]) ).
fof(f172,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ29_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f172,f60]) ).
fof(f176,definition,
( sQ30_spl
<=> c3_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f172,f176]) ).
fof(f180,definition,
( sQ31_spl
<=> c1_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f172,f180]) ).
fof(f184,definition,
( sQ32_spl
<=> c2_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f172,f184]) ).
fof(f188,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( sQ33_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f188,f60]) ).
fof(f192,definition,
( sQ34_spl
<=> c2_1(a84) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f188,f192]) ).
fof(f196,definition,
( sQ35_spl
<=> c3_1(a84) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f188,f196]) ).
fof(f200,definition,
( sQ36_spl
<=> c1_1(a84) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f188,f200]) ).
fof(f204,definition,
( sQ37_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ37_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f41,f204,f60]) ).
fof(f208,definition,
( sQ38_spl
<=> c3_1(a86) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f42,f204,f208]) ).
fof(f212,definition,
( sQ39_spl
<=> c0_1(a86) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ39_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f43,f204,f212]) ).
fof(f216,definition,
( sQ40_spl
<=> c2_1(a86) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ40_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f44,f204,f216]) ).
fof(f220,definition,
( sQ41_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ41_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f45,f220,f60]) ).
fof(f224,definition,
( sQ42_spl
<=> c0_1(a89) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f46,f220,f224]) ).
fof(f228,definition,
( sQ43_spl
<=> c2_1(a89) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f47,f220,f228]) ).
fof(f232,definition,
( sQ44_spl
<=> c1_1(a89) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ44_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f48,f220,f232]) ).
fof(f236,definition,
! [X0] :
( sQ45_spl
<=> ( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ45_spl
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
! [X1] :
( sQ46_spl
<=> ( c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f240,plain,
! [X0] :
( ~ sQ46_spl
| c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ21_spl
| sQ46_spl
| sQ45_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f60,f236,f239,f140]) ).
fof(f243,plain,
( sQ29_spl
| sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f50,f156,f57,f172]) ).
fof(f244,definition,
! [X0] :
( sQ47_spl
<=> ( ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ47_spl
| ~ sQ1_spl
| sQ33_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f51,f76,f188,f60,f244]) ).
fof(f248,definition,
! [X1] :
( sQ48_spl
<=> ( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f249,plain,
! [X0] :
( ~ sQ48_spl
| ~ c2_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
! [X2] :
( sQ49_spl
<=> ( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f252,plain,
! [X0] :
( ~ sQ49_spl
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( sQ49_spl
| sQ48_spl
| sQ46_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f52,f60,f239,f248,f251]) ).
fof(f255,definition,
! [X0] :
( sQ50_spl
<=> ( c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0] :
( ~ sQ50_spl
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
! [X1] :
( sQ51_spl
<=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0] :
( ~ sQ51_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ51_spl
| sQ50_spl
| ~ sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f53,f92,f60,f255,f258]) ).
fof(f262,definition,
! [X0] :
( sQ52_spl
<=> ( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f263,plain,
! [X0] :
( ~ sQ52_spl
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
! [X1] :
( sQ53_spl
<=> ( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f266,plain,
! [X0] :
( ~ sQ53_spl
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ37_spl
| sQ53_spl
| sQ52_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f54,f60,f262,f265,f204]) ).
fof(f269,definition,
! [X0] :
( sQ54_spl
<=> ( c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f270,plain,
! [X0] :
( ~ sQ54_spl
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
! [X1] :
( sQ55_spl
<=> ( c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ55_spl
| c3_1(X0)
| c0_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ55_spl
| sQ13_spl
| sQ54_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f55,f60,f269,f108,f272]) ).
fof(f276,plain,
( sQ5_spl
| sQ41_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f56,f124,f220,f76]) ).
fof(f277,plain,
( ~ sQ46_spl
| sQ18_spl
| c3_1(a88)
| c1_1(a88) ),
inference(resolution,[status(thm)],[f130,f240]) ).
fof(f278,definition,
( sQ56_spl
<=> c3_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ56_spl
| c3_1(a88) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( ~ sQ46_spl
| sQ18_spl
| sQ56_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f277,f136,f278,f128,f239]) ).
fof(f282,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ c2_1(a80)
| ~ c0_1(a80) ),
inference(resolution,[status(thm)],[f169,f263]) ).
fof(f283,definition,
( sQ57_spl
<=> c2_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( sQ57_spl
| ~ c2_1(a80) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| ~ sQ57_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f282,f164,f283,f168,f262]) ).
fof(f287,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| c1_1(a83)
| c3_1(a83) ),
inference(resolution,[status(thm)],[f270,f85]) ).
fof(f288,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f287,f80,f88,f269,f84]) ).
fof(f289,plain,
( sQ57_spl
| ~ sQ50_spl
| c0_1(a80)
| c1_1(a80) ),
inference(resolution,[status(thm)],[f256,f285]) ).
fof(f290,plain,
( sQ18_spl
| ~ sQ50_spl
| c0_1(a88)
| c1_1(a88) ),
inference(resolution,[status(thm)],[f256,f130]) ).
fof(f291,plain,
( sQ57_spl
| ~ sQ50_spl
| sQ27_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f289,f168,f164,f255,f283]) ).
fof(f292,plain,
( sQ18_spl
| ~ sQ50_spl
| sQ19_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f290,f136,f132,f255,f128]) ).
fof(f293,plain,
( ~ sQ27_spl
| ~ sQ45_spl
| c3_1(a80)
| ~ c2_1(a80) ),
inference(resolution,[status(thm)],[f237,f165]) ).
fof(f294,plain,
( ~ sQ27_spl
| ~ sQ45_spl
| sQ26_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f293,f283,f160,f236,f164]) ).
fof(f295,plain,
( ~ sQ27_spl
| ~ sQ53_spl
| c3_1(a80)
| ~ c1_1(a80) ),
inference(resolution,[status(thm)],[f266,f165]) ).
fof(f296,plain,
( ~ sQ27_spl
| ~ sQ53_spl
| sQ26_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f295,f168,f160,f265,f164]) ).
fof(f297,plain,
( sQ57_spl
| ~ sQ46_spl
| c3_1(a80)
| c1_1(a80) ),
inference(resolution,[status(thm)],[f240,f285]) ).
fof(f299,plain,
( sQ57_spl
| ~ sQ46_spl
| sQ26_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f297,f168,f160,f239,f283]) ).
fof(f303,plain,
( sQ57_spl
| ~ sQ55_spl
| c3_1(a80)
| c0_1(a80) ),
inference(resolution,[status(thm)],[f273,f285]) ).
fof(f304,plain,
( sQ18_spl
| ~ sQ55_spl
| c3_1(a88)
| c0_1(a88) ),
inference(resolution,[status(thm)],[f273,f130]) ).
fof(f305,plain,
( sQ57_spl
| ~ sQ55_spl
| sQ26_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f303,f164,f160,f272,f283]) ).
fof(f306,plain,
( sQ18_spl
| ~ sQ55_spl
| sQ56_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f304,f132,f278,f272,f128]) ).
fof(f307,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ52_spl
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f263]) ).
fof(f308,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ c1_1(a87) ),
inference(resolution,[status(thm)],[f307,f117]) ).
fof(f309,plain,
( ~ sQ7_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ c1_1(a83) ),
inference(resolution,[status(thm)],[f307,f85]) ).
fof(f310,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f113]) ).
fof(f311,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f312,plain,
( ~ sQ27_spl
| ~ sQ49_spl
| c1_1(a80)
| ~ c3_1(a80) ),
inference(resolution,[status(thm)],[f252,f165]) ).
fof(f313,plain,
( ~ sQ27_spl
| ~ sQ49_spl
| sQ28_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f312,f160,f168,f251,f164]) ).
fof(f318,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ c1_1(a87)
| c3_1(a87) ),
inference(resolution,[status(thm)],[f249,f117]) ).
fof(f319,plain,
( ~ sQ7_spl
| ~ sQ48_spl
| ~ c1_1(a83)
| c3_1(a83) ),
inference(resolution,[status(thm)],[f249,f85]) ).
fof(f320,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ14_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f318,f120,f112,f248,f116]) ).
fof(f321,plain,
( ~ sQ7_spl
| ~ sQ48_spl
| ~ sQ8_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f319,f80,f88,f248,f84]) ).
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
| ~ sQ33_spl
| ~ sQ37_spl
| ~ sQ41_spl
| sQ46_spl
| ~ sQ48_spl
| ~ sQ50_spl
| ~ sQ51_spl
| sQ52_spl
| ~ sQ54_spl
| sQ56_spl
| ~ sQ57_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN496+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.64 % Computer : n006.cluster.edu
% 0.14/10.64 % Model : x86_64 x86_64
% 0.14/10.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.64 % Memory : 8046.5625MB
% 0.14/10.64 % OS : Linux 6.8.0-71-generic
% 0.14/10.64 % CPULimit : 300
% 0.14/10.64 % WCLimit : 300
% 0.14/10.64 % DateTime : Mon Sep 21 11:03:09 UTC 2026
% 0.14/10.65 % CPUTime :
% 0.14/10.66 % Drodi V4.1.1
% 0.14/10.67 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.14/10.67 % SZS output start Saturation for theBenchmark
% See solution above
% 0.19/10.74 % Elapsed time: 0.086880 seconds
% 0.19/10.74 % CPU time: 0.060916 seconds
% 0.19/10.74 % Total memory used: 613.920 KB
% 0.19/10.74 % Net memory used: 611.984 KB
%------------------------------------------------------------------------------