%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN491+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 : n012.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 0.07s 5.38s
% Output : Saturation 0.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp8
| hskp2
| hskp1 )
& ( hskp0
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c2_1(X9)
| c3_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c1_1(X7)
| ~ c3_1(X7)
| ~ c2_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| c0_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| c1_1(X5) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| c0_1(X2)
| c1_1(X2) ) ) )
& ( hskp7
| hskp6
| hskp5 )
& ( hskp4
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| c3_1(Z)
| c1_1(Z) ) ) )
& ( ! [Y] :
( ndr1_0
=> ( c3_1(Y)
| c2_1(Y)
| c0_1(Y) ) )
| hskp3
| ! [X] :
( ndr1_0
=> ( ~ c3_1(X)
| c2_1(X)
| ~ c1_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( c1_1(W)
| c0_1(W)
| ~ c3_1(W) ) )
| ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c0_1(V)
| ~ c2_1(V) ) )
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c0_1(U)
| c1_1(U) ) ) )
& ( ( c0_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a20)
& c2_1(a20)
& ~ c0_1(a20)
& ndr1_0 )
| ~ hskp7 )
& ( ( c0_1(a19)
& c2_1(a19)
& c1_1(a19)
& ndr1_0 )
| ~ hskp6 )
& ( ( c0_1(a18)
& ~ c2_1(a18)
& c1_1(a18)
& ndr1_0 )
| ~ hskp5 )
& ( ( c1_1(a17)
& c0_1(a17)
& c2_1(a17)
& ndr1_0 )
| ~ hskp4 )
& ( ( c0_1(a16)
& ~ c1_1(a16)
& ~ c3_1(a16)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a23)
& ~ c2_1(a23)
& ~ c1_1(a23)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a22)
& c1_1(a22)
& ~ c2_1(a22)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a21)
& c0_1(a21)
& c2_1(a21)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp8
| hskp2
| hskp1 )
& ( hskp0
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c2_1(X9)
| c3_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c1_1(X7)
| ~ c3_1(X7)
| ~ c2_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| c0_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| c1_1(X5) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| c0_1(X2)
| c1_1(X2) ) ) )
& ( hskp7
| hskp6
| hskp5 )
& ( hskp4
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| c3_1(Z)
| c1_1(Z) ) ) )
& ( ! [Y] :
( ndr1_0
=> ( c3_1(Y)
| c2_1(Y)
| c0_1(Y) ) )
| hskp3
| ! [X] :
( ndr1_0
=> ( ~ c3_1(X)
| c2_1(X)
| ~ c1_1(X) ) ) )
& ( ! [W] :
( ndr1_0
=> ( c1_1(W)
| c0_1(W)
| ~ c3_1(W) ) )
| ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c0_1(V)
| ~ c2_1(V) ) )
| ! [U] :
( ndr1_0
=> ( c3_1(U)
| ~ c0_1(U)
| c1_1(U) ) ) )
& ( ( c0_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a20)
& c2_1(a20)
& ~ c0_1(a20)
& ndr1_0 )
| ~ hskp7 )
& ( ( c0_1(a19)
& c2_1(a19)
& c1_1(a19)
& ndr1_0 )
| ~ hskp6 )
& ( ( c0_1(a18)
& ~ c2_1(a18)
& c1_1(a18)
& ndr1_0 )
| ~ hskp5 )
& ( ( c1_1(a17)
& c0_1(a17)
& c2_1(a17)
& ndr1_0 )
| ~ hskp4 )
& ( ( c0_1(a16)
& ~ c1_1(a16)
& ~ c3_1(a16)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a23)
& ~ c2_1(a23)
& ~ c1_1(a23)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a22)
& c1_1(a22)
& ~ c2_1(a22)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a21)
& c0_1(a21)
& c2_1(a21)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp8
| hskp2
| hskp1 )
& ( hskp0
| ! [X9] :
( ~ c0_1(X9)
| ~ c2_1(X9)
| c3_1(X9)
| ~ ndr1_0 )
| ! [X8] :
( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8)
| ~ ndr1_0 ) )
& ( ! [X7] :
( ~ c1_1(X7)
| ~ c3_1(X7)
| ~ c2_1(X7)
| ~ ndr1_0 )
| ! [X6] :
( c2_1(X6)
| c0_1(X6)
| c1_1(X6)
| ~ ndr1_0 )
| ! [X5] :
( c0_1(X5)
| c2_1(X5)
| c1_1(X5)
| ~ ndr1_0 ) )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| ! [X3] :
( ~ c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0 )
| ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) )
& ( hskp7
| hskp6
| hskp5 )
& ( hskp4
| ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0 )
| ! [Z] :
( c0_1(Z)
| c3_1(Z)
| c1_1(Z)
| ~ ndr1_0 ) )
& ( ! [Y] :
( c3_1(Y)
| c2_1(Y)
| c0_1(Y)
| ~ ndr1_0 )
| hskp3
| ! [X] :
( ~ c3_1(X)
| c2_1(X)
| ~ c1_1(X)
| ~ ndr1_0 ) )
& ( ! [W] :
( c1_1(W)
| c0_1(W)
| ~ c3_1(W)
| ~ ndr1_0 )
| ! [V] :
( ~ c3_1(V)
| c0_1(V)
| ~ c2_1(V)
| ~ ndr1_0 )
| ! [U] :
( c3_1(U)
| ~ c0_1(U)
| c1_1(U)
| ~ ndr1_0 ) )
& ( ( c0_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a20)
& c2_1(a20)
& ~ c0_1(a20)
& ndr1_0 )
| ~ hskp7 )
& ( ( c0_1(a19)
& c2_1(a19)
& c1_1(a19)
& ndr1_0 )
| ~ hskp6 )
& ( ( c0_1(a18)
& ~ c2_1(a18)
& c1_1(a18)
& ndr1_0 )
| ~ hskp5 )
& ( ( c1_1(a17)
& c0_1(a17)
& c2_1(a17)
& ndr1_0 )
| ~ hskp4 )
& ( ( c0_1(a16)
& ~ c1_1(a16)
& ~ c3_1(a16)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a23)
& ~ c2_1(a23)
& ~ c1_1(a23)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a22)
& c1_1(a22)
& ~ c2_1(a22)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a21)
& c0_1(a21)
& c2_1(a21)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( hskp8
| hskp2
| hskp1 )
& ( hskp0
| ! [X9] :
( ~ c0_1(X9)
| ~ c2_1(X9)
| c3_1(X9) )
| ~ ndr1_0
| ! [X8] :
( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) )
| ~ ndr1_0 )
& ( ! [X7] :
( ~ c1_1(X7)
| ~ c3_1(X7)
| ~ c2_1(X7) )
| ~ ndr1_0
| ! [X6] :
( c2_1(X6)
| c0_1(X6)
| c1_1(X6) )
| ~ ndr1_0
| ! [X5] :
( c0_1(X5)
| c2_1(X5)
| c1_1(X5) )
| ~ ndr1_0 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4) )
| ~ ndr1_0
| ! [X3] :
( ~ c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) )
| ~ ndr1_0
| ! [X2] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ ndr1_0 )
& ( hskp7
| hskp6
| hskp5 )
& ( hskp4
| ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c2_1(X1) )
| ~ ndr1_0
| ! [Z] :
( c0_1(Z)
| c3_1(Z)
| c1_1(Z) )
| ~ ndr1_0 )
& ( ! [Y] :
( c3_1(Y)
| c2_1(Y)
| c0_1(Y) )
| ~ ndr1_0
| hskp3
| ! [X] :
( ~ c3_1(X)
| c2_1(X)
| ~ c1_1(X) )
| ~ ndr1_0 )
& ( ! [W] :
( c1_1(W)
| c0_1(W)
| ~ c3_1(W) )
| ~ ndr1_0
| ! [V] :
( ~ c3_1(V)
| c0_1(V)
| ~ c2_1(V) )
| ~ ndr1_0
| ! [U] :
( c3_1(U)
| ~ c0_1(U)
| c1_1(U) )
| ~ ndr1_0 )
& ( ( c0_1(a24)
& c3_1(a24)
& c1_1(a24)
& ndr1_0 )
| ~ hskp8 )
& ( ( c1_1(a20)
& c2_1(a20)
& ~ c0_1(a20)
& ndr1_0 )
| ~ hskp7 )
& ( ( c0_1(a19)
& c2_1(a19)
& c1_1(a19)
& ndr1_0 )
| ~ hskp6 )
& ( ( c0_1(a18)
& ~ c2_1(a18)
& c1_1(a18)
& ndr1_0 )
| ~ hskp5 )
& ( ( c1_1(a17)
& c0_1(a17)
& c2_1(a17)
& ndr1_0 )
| ~ hskp4 )
& ( ( c0_1(a16)
& ~ c1_1(a16)
& ~ c3_1(a16)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a23)
& ~ c2_1(a23)
& ~ c1_1(a23)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a22)
& c1_1(a22)
& ~ c2_1(a22)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a21)
& c0_1(a21)
& c2_1(a21)
& ndr1_0 )
| ~ hskp0 ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
( c2_1(a21)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( c0_1(a21)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c1_1(a21)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ c2_1(a22)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( c1_1(a22)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c3_1(a22)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( ~ c1_1(a23)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( ~ c2_1(a23)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c0_1(a23)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( ~ c3_1(a16)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( ~ c1_1(a16)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( c0_1(a16)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( c2_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( c0_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( c1_1(a17)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( c1_1(a18)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( ~ c2_1(a18)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( c0_1(a18)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( c1_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( c2_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( c0_1(a19)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( ~ c0_1(a20)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c2_1(a20)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( c1_1(a20)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( c1_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( c3_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( c0_1(a24)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
! [X0,X1,X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| hskp3
| ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( hskp4
| c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( hskp7
| hskp6
| hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
! [X0,X1,X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
! [X0,X1] :
( hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( hskp8
| hskp2
| hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( sQ0_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f53,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f49,f52]) ).
fof(f56,definition,
( sQ2_spl
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f49,f56]) ).
fof(f60,definition,
( sQ3_spl
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f49,f60]) ).
fof(f64,definition,
( sQ4_spl
<=> c1_1(a21) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f49,f64]) ).
fof(f68,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ5_spl
| hskp1 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f68,f52]) ).
fof(f72,definition,
( sQ6_spl
<=> c2_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( sQ6_spl
| ~ c2_1(a22) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f68,f72]) ).
fof(f76,definition,
( sQ7_spl
<=> c1_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ7_spl
| c1_1(a22) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f68,f76]) ).
fof(f80,definition,
( sQ8_spl
<=> c3_1(a22) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ8_spl
| ~ c3_1(a22) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f68,f80]) ).
fof(f84,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( sQ9_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f84,f52]) ).
fof(f88,definition,
( sQ10_spl
<=> c1_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f84,f88]) ).
fof(f92,definition,
( sQ11_spl
<=> c2_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f84,f92]) ).
fof(f96,definition,
( sQ12_spl
<=> c0_1(a23) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f84,f96]) ).
fof(f100,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ13_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f100,f52]) ).
fof(f104,definition,
( sQ14_spl
<=> c3_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f100,f104]) ).
fof(f108,definition,
( sQ15_spl
<=> c1_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f100,f108]) ).
fof(f112,definition,
( sQ16_spl
<=> c0_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f100,f112]) ).
fof(f116,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ17_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f116,f52]) ).
fof(f120,definition,
( sQ18_spl
<=> c2_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f116,f120]) ).
fof(f124,definition,
( sQ19_spl
<=> c0_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f116,f124]) ).
fof(f128,definition,
( sQ20_spl
<=> c1_1(a17) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f116,f128]) ).
fof(f132,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ21_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f132,f52]) ).
fof(f136,definition,
( sQ22_spl
<=> c1_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ22_spl
| c1_1(a18) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f132,f136]) ).
fof(f140,definition,
( sQ23_spl
<=> c2_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ23_spl
| ~ c2_1(a18) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f132,f140]) ).
fof(f144,definition,
( sQ24_spl
<=> c0_1(a18) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ24_spl
| c0_1(a18) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f132,f144]) ).
fof(f148,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ25_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f148,f52]) ).
fof(f152,definition,
( sQ26_spl
<=> c1_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f148,f152]) ).
fof(f156,definition,
( sQ27_spl
<=> c2_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f148,f156]) ).
fof(f160,definition,
( sQ28_spl
<=> c0_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f148,f160]) ).
fof(f164,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ29_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f164,f52]) ).
fof(f168,definition,
( sQ30_spl
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f164,f168]) ).
fof(f172,definition,
( sQ31_spl
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f164,f172]) ).
fof(f176,definition,
( sQ32_spl
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f164,f176]) ).
fof(f180,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ33_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f180,f52]) ).
fof(f184,definition,
( sQ34_spl
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f180,f184]) ).
fof(f188,definition,
( sQ35_spl
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f180,f188]) ).
fof(f192,definition,
( sQ36_spl
<=> c0_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f180,f192]) ).
fof(f196,definition,
! [X0] :
( sQ37_spl
<=> ( c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f199,definition,
! [X1] :
( sQ38_spl
<=> ( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f202,definition,
! [X2] :
( sQ39_spl
<=> ( c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f41,f52,f196,f199,f202]) ).
fof(f206,definition,
! [X0] :
( sQ40_spl
<=> ( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f207,plain,
! [X0] :
( ~ sQ40_spl
| ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
! [X1] :
( sQ41_spl
<=> ( c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f210,plain,
! [X0] :
( ~ sQ41_spl
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ41_spl
| sQ13_spl
| sQ40_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f42,f52,f206,f100,f209]) ).
fof(f213,definition,
! [X0] :
( sQ42_spl
<=> ( c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f214,plain,
! [X0] :
( ~ sQ42_spl
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
! [X1] :
( sQ43_spl
<=> ( c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f217,plain,
! [X0] :
( ~ sQ43_spl
| c3_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ17_spl
| sQ43_spl
| sQ42_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f43,f52,f213,f216,f116]) ).
fof(f220,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f44,f132,f148,f164]) ).
fof(f221,definition,
! [X0] :
( sQ44_spl
<=> ( c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f222,plain,
! [X0] :
( ~ sQ44_spl
| c2_1(X0)
| c0_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
! [X1] :
( sQ45_spl
<=> ( ~ c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f225,plain,
! [X0] :
( ~ sQ45_spl
| ~ c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ45_spl
| sQ44_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f45,f52,f221,f224]) ).
fof(f228,definition,
! [X2] :
( sQ46_spl
<=> ( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f229,plain,
! [X0] :
( ~ sQ46_spl
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ46_spl
| sQ44_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f46,f52,f221,f228]) ).
fof(f232,definition,
! [X0] :
( sQ47_spl
<=> ( ~ c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f233,plain,
! [X0] :
( ~ sQ47_spl
| ~ c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
! [X1] :
( sQ48_spl
<=> ( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f236,plain,
! [X0] :
( ~ sQ48_spl
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ0_spl
| sQ48_spl
| sQ47_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f47,f52,f232,f235,f49]) ).
fof(f239,plain,
( sQ33_spl
| sQ9_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f48,f68,f84,f180]) ).
fof(f240,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ40_spl
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f207]) ).
fof(f241,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ40_spl
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f236,f242]) ).
fof(f242,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ40_spl
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f240]) ).
fof(f243,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ c2_1(X0)
| c0_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f233,f244]) ).
fof(f244,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ42_spl
| c1_1(X0)
| c0_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f214]) ).
fof(f245,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ47_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ48_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ40_spl
| c3_1(X0)
| c0_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f210,f247]) ).
fof(f246,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ47_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ48_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ40_spl
| c3_1(X0)
| c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f217,f247]) ).
fof(f247,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ48_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ40_spl
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f241]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ13_spl
| ~ sQ17_spl
| sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ29_spl
| ~ sQ33_spl
| sQ39_spl
| sQ40_spl
| sQ41_spl
| sQ42_spl
| sQ43_spl
| sQ44_spl
| sQ45_spl
| sQ46_spl
| sQ47_spl
| sQ48_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN491+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.35 % Computer : n012.cluster.edu
% 0.07/5.35 % Model : x86_64 x86_64
% 0.07/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.35 % Memory : 8046.5625MB
% 0.07/5.35 % OS : Linux 6.8.0-71-generic
% 0.07/5.35 % CPULimit : 300
% 0.07/5.35 % WCLimit : 300
% 0.07/5.35 % DateTime : Mon Sep 21 11:02:16 UTC 2026
% 0.07/5.35 % CPUTime :
% 0.07/5.36 % Drodi V4.1.1
% 0.07/5.38 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.07/5.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.10/5.40 % Elapsed time: 0.035430 seconds
% 0.10/5.40 % CPU time: 0.077473 seconds
% 0.10/5.40 % Total memory used: 17.876 MB
% 0.10/5.40 % Net memory used: 17.834 MB
%------------------------------------------------------------------------------