%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN490-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/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 03:19:48 PM UTC 2026
% Result : Satisfiable 0.22s 5.73s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( hskp8
| hskp0
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( hskp11
| hskp3
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c3_1(a15)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c1_1(a15)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c2_1(a15)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c3_1(a10)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c1_1(a9)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c2_1(a9)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c3_1(a9)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c3_1(a7)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c1_1(a6)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c3_1(a6)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_1(a6)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c2_1(a3)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c3_1(a1)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c0_1(a1)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c1_1(a1)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c1_1(a14)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c1_1(a11)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( c2_1(a11)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c1_1(a8)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c3_1(a8)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( c1_1(a5)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( c0_1(a5)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( c1_1(a4)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( c0_1(a2)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ~ hskp12
| ~ c1_1(a10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ hskp12
| ~ c2_1(a10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ hskp10
| ~ c2_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ~ hskp10
| ~ c1_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ hskp8
| ~ c3_1(a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ hskp8
| ~ c1_1(a3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ hskp6
| ~ c0_1(a14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ hskp6
| ~ c2_1(a14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ hskp5
| ~ c1_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ hskp5
| ~ c0_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ hskp5
| ~ c2_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( ~ hskp4
| ~ c0_1(a11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( ~ hskp3
| ~ c0_1(a8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( ~ hskp2
| ~ c2_1(a5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ~ hskp1
| ~ c3_1(a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ~ hskp1
| ~ c2_1(a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ~ hskp0
| ~ c3_1(a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( hskp3
| hskp5
| c1_1(U)
| c0_1(U)
| c2_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( hskp13
| hskp6
| c3_1(U)
| c2_1(U)
| c0_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( hskp9
| hskp2
| c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U,V] :
( hskp1
| c0_1(V)
| c3_1(U)
| c1_1(U)
| ~ c2_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U,V] :
( hskp12
| c0_1(U)
| c2_1(U)
| ~ c2_1(V)
| ~ c1_1(V)
| ~ c3_1(V)
| ~ ndr1_0
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U,V] :
( hskp4
| c2_1(V)
| c1_1(U)
| ~ c1_1(V)
| ~ c0_1(V)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c0_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f66,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f71,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f72,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f73,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f75,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f77,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f78,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f79,plain,
( hskp8
| hskp0
| hskp7 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f80,plain,
( hskp11
| hskp3
| hskp10 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f81,plain,
( c3_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
( c1_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f83,plain,
( c2_1(a15)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f84,plain,
( c3_1(a10)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f85,plain,
( c1_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f86,plain,
( c2_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,plain,
( c3_1(a9)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f88,plain,
( c3_1(a7)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f89,plain,
( c1_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
( c3_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
( c2_1(a6)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f92,plain,
( c2_1(a3)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f93,plain,
( c3_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f94,plain,
( c0_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f95,plain,
( c1_1(a1)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f96,plain,
( c1_1(a14)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f97,plain,
( c1_1(a11)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f98,plain,
( c2_1(a11)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f99,plain,
( c1_1(a8)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
( c3_1(a8)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
( c1_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f102,plain,
( c0_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f103,plain,
( c1_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f104,plain,
( c0_1(a2)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f105,plain,
( ~ hskp12
| ~ c1_1(a10) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f106,plain,
( ~ hskp12
| ~ c2_1(a10) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f107,plain,
( ~ hskp10
| ~ c2_1(a7) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f108,plain,
( ~ hskp10
| ~ c1_1(a7) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f109,plain,
( ~ hskp8
| ~ c3_1(a3) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f110,plain,
( ~ hskp8
| ~ c1_1(a3) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f111,plain,
( ~ hskp6
| ~ c0_1(a14) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f112,plain,
( ~ hskp6
| ~ c2_1(a14) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f113,plain,
( ~ hskp5
| ~ c1_1(a12) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f114,plain,
( ~ hskp5
| ~ c0_1(a12) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f115,plain,
( ~ hskp5
| ~ c2_1(a12) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f116,plain,
( ~ hskp4
| ~ c0_1(a11) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f117,plain,
( ~ hskp3
| ~ c0_1(a8) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f118,plain,
( ~ hskp2
| ~ c2_1(a5) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f119,plain,
( ~ hskp1
| ~ c3_1(a4) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f120,plain,
( ~ hskp1
| ~ c2_1(a4) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f121,plain,
( ~ hskp0
| ~ c3_1(a2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
( ~ hskp0
| ~ c1_1(a2) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f123,plain,
( hskp3
| hskp5
| ! [U] :
( c1_1(U)
| c0_1(U)
| c2_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f124,plain,
! [X0] :
( hskp3
| hskp5
| c1_1(X0)
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
( hskp13
| hskp6
| ! [U] :
( c3_1(U)
| c2_1(U)
| c0_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f126,plain,
! [X0] :
( hskp13
| hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
( hskp9
| hskp2
| ! [U] :
( c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f128,plain,
! [X0] :
( hskp9
| hskp2
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( hskp1
| ! [V] :
( c0_1(V)
| ! [U] :
( c3_1(U)
| c1_1(U)
| ~ c2_1(V)
| ~ c1_1(V)
| ~ ndr1_0
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f130,plain,
! [X0,X1] :
( hskp1
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
( hskp12
| ! [U] :
( c0_1(U)
| c2_1(U)
| ! [V] :
( ~ c2_1(V)
| ~ c1_1(V)
| ~ c3_1(V)
| ~ ndr1_0
| ~ c3_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f132,plain,
! [X0,X1] :
( hskp12
| c0_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
( hskp4
| ! [V] :
( c2_1(V)
| ! [U] :
( c1_1(U)
| ~ c1_1(V)
| ~ c0_1(V)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c0_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f134,plain,
! [X0,X1] :
( hskp4
| c2_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,definition,
( sQ0_spl
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ0_spl
| hskp13 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f135,f138]) ).
fof(f142,definition,
( sQ2_spl
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ2_spl
| hskp12 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ2_spl
| ~ hskp12 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f66,f142,f138]) ).
fof(f146,definition,
( sQ3_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ3_spl
| ~ hskp11 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f67,f146,f138]) ).
fof(f150,definition,
( sQ4_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ4_spl
| hskp10 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f68,f150,f138]) ).
fof(f154,definition,
( sQ5_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ5_spl
| hskp9 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f69,f154,f138]) ).
fof(f158,definition,
( sQ6_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ6_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f70,f158,f138]) ).
fof(f162,definition,
( sQ7_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ7_spl
| hskp7 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f71,f162,f138]) ).
fof(f166,definition,
( sQ8_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( sQ8_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f72,f166,f138]) ).
fof(f170,definition,
( sQ9_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ9_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f73,f170,f138]) ).
fof(f174,definition,
( sQ10_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ10_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ10_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f74,f174,f138]) ).
fof(f178,definition,
( sQ11_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ11_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ1_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f75,f178,f138]) ).
fof(f182,definition,
( sQ12_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ12_spl
| ~ hskp2 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f76,f182,f138]) ).
fof(f186,definition,
( sQ13_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ13_spl
| hskp1 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ13_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f77,f186,f138]) ).
fof(f190,definition,
( sQ14_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ14_spl
| ~ hskp0 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f78,f190,f138]) ).
fof(f194,plain,
( sQ6_spl
| sQ14_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f79,f162,f190,f158]) ).
fof(f195,plain,
( sQ3_spl
| sQ11_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f80,f150,f178,f146]) ).
fof(f196,definition,
( sQ15_spl
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ15_spl
| c3_1(a15) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f135,f196]) ).
fof(f200,definition,
( sQ16_spl
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ16_spl
| c1_1(a15) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f135,f200]) ).
fof(f204,definition,
( sQ17_spl
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ17_spl
| c2_1(a15) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ17_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f83,f135,f204]) ).
fof(f208,definition,
( sQ18_spl
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ18_spl
| c3_1(a10) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f84,f142,f208]) ).
fof(f212,definition,
( sQ19_spl
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f85,f146,f212]) ).
fof(f216,definition,
( sQ20_spl
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f86,f146,f216]) ).
fof(f220,definition,
( sQ21_spl
<=> c3_1(a9) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ21_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f87,f146,f220]) ).
fof(f224,definition,
( sQ22_spl
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ22_spl
| c3_1(a7) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ22_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f88,f150,f224]) ).
fof(f228,definition,
( sQ23_spl
<=> c1_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ23_spl
| c1_1(a6) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ23_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f89,f154,f228]) ).
fof(f232,definition,
( sQ24_spl
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ24_spl
| c3_1(a6) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ24_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f90,f154,f232]) ).
fof(f236,definition,
( sQ25_spl
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ25_spl
| c2_1(a6) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ25_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f91,f154,f236]) ).
fof(f240,definition,
( sQ26_spl
<=> c2_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ26_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f92,f158,f240]) ).
fof(f244,definition,
( sQ27_spl
<=> c3_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ27_spl
| c3_1(a1) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ27_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f93,f162,f244]) ).
fof(f248,definition,
( sQ28_spl
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ28_spl
| c0_1(a1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ28_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f94,f162,f248]) ).
fof(f252,definition,
( sQ29_spl
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ29_spl
| c1_1(a1) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ29_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f95,f162,f252]) ).
fof(f256,definition,
( sQ30_spl
<=> c1_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ30_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f96,f166,f256]) ).
fof(f260,definition,
( sQ31_spl
<=> c1_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ31_spl
| c1_1(a11) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ31_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f97,f174,f260]) ).
fof(f264,definition,
( sQ32_spl
<=> c2_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ32_spl
| c2_1(a11) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ32_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f98,f174,f264]) ).
fof(f268,definition,
( sQ33_spl
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ33_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f99,f178,f268]) ).
fof(f272,definition,
( sQ34_spl
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( sQ34_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f100,f178,f272]) ).
fof(f276,definition,
( sQ35_spl
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ35_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f101,f182,f276]) ).
fof(f280,definition,
( sQ36_spl
<=> c0_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ36_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f102,f182,f280]) ).
fof(f284,definition,
( sQ37_spl
<=> c1_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ37_spl
| c1_1(a4) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ37_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f186,f284]) ).
fof(f288,definition,
( sQ38_spl
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ38_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f104,f190,f288]) ).
fof(f292,definition,
( sQ39_spl
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ39_spl
| ~ c1_1(a10) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ2_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f105,f292,f142]) ).
fof(f296,definition,
( sQ40_spl
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ40_spl
| ~ c2_1(a10) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ2_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f106,f296,f142]) ).
fof(f300,definition,
( sQ41_spl
<=> c2_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ41_spl
| ~ c2_1(a7) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ4_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f107,f300,f150]) ).
fof(f304,definition,
( sQ42_spl
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ42_spl
| ~ c1_1(a7) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( ~ sQ4_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f108,f304,f150]) ).
fof(f308,definition,
( sQ43_spl
<=> c3_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ6_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f109,f308,f158]) ).
fof(f312,definition,
( sQ44_spl
<=> c1_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ6_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f110,f312,f158]) ).
fof(f316,definition,
( sQ45_spl
<=> c0_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ8_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f111,f316,f166]) ).
fof(f320,definition,
( sQ46_spl
<=> c2_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ8_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f112,f320,f166]) ).
fof(f324,definition,
( sQ47_spl
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ47_spl
| ~ c1_1(a12) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( ~ sQ9_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f113,f324,f170]) ).
fof(f328,definition,
( sQ48_spl
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ48_spl
| ~ c0_1(a12) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( ~ sQ9_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f114,f328,f170]) ).
fof(f332,definition,
( sQ49_spl
<=> c2_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ49_spl
| ~ c2_1(a12) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( ~ sQ9_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f115,f332,f170]) ).
fof(f336,definition,
( sQ50_spl
<=> c0_1(a11) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ50_spl
| ~ c0_1(a11) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ10_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f116,f336,f174]) ).
fof(f340,definition,
( sQ51_spl
<=> c0_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ11_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f117,f340,f178]) ).
fof(f344,definition,
( sQ52_spl
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ12_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f118,f344,f182]) ).
fof(f348,definition,
( sQ53_spl
<=> c3_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ53_spl
| ~ c3_1(a4) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ13_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f119,f348,f186]) ).
fof(f352,definition,
( sQ54_spl
<=> c2_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ54_spl
| ~ c2_1(a4) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( ~ sQ13_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f120,f352,f186]) ).
fof(f356,definition,
( sQ55_spl
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ14_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f121,f356,f190]) ).
fof(f360,definition,
( sQ56_spl
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ14_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f122,f360,f190]) ).
fof(f364,definition,
! [X0] :
( sQ57_spl
<=> ( c1_1(X0)
| c0_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ11_spl
| sQ9_spl
| sQ57_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f124,f138,f364,f170,f178]) ).
fof(f368,definition,
! [X0] :
( sQ58_spl
<=> ( c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ0_spl
| sQ8_spl
| sQ58_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f126,f138,f368,f166,f135]) ).
fof(f372,definition,
! [X0] :
( sQ59_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( sQ5_spl
| sQ12_spl
| ~ sQ1_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f128,f372,f138,f182,f154]) ).
fof(f376,definition,
! [X0] :
( sQ60_spl
<=> ( c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f377,plain,
! [X0] :
( ~ sQ60_spl
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
! [X1] :
( sQ61_spl
<=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f380,plain,
! [X0] :
( ~ sQ61_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ13_spl
| sQ61_spl
| ~ sQ1_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f130,f376,f138,f379,f186]) ).
fof(f383,definition,
! [X0] :
( sQ62_spl
<=> ( c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0] :
( ~ sQ62_spl
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
! [X1] :
( sQ63_spl
<=> ( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ2_spl
| sQ63_spl
| ~ sQ1_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f132,f383,f138,f386,f142]) ).
fof(f390,definition,
! [X0] :
( sQ64_spl
<=> ( c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f391,plain,
! [X0] :
( ~ sQ64_spl
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
! [X1] :
( sQ65_spl
<=> ( c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f394,plain,
! [X0] :
( ~ sQ65_spl
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( sQ10_spl
| sQ65_spl
| ~ sQ1_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f390,f138,f393,f174]) ).
fof(f397,plain,
( ~ sQ25_spl
| ~ sQ60_spl
| c3_1(a6)
| c1_1(a6) ),
inference(resolution,[status(thm)],[f377,f237]) ).
fof(f398,plain,
( ~ sQ25_spl
| ~ sQ60_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f397,f228,f232,f376,f236]) ).
fof(f399,plain,
( ~ sQ22_spl
| ~ sQ62_spl
| c0_1(a7)
| c2_1(a7) ),
inference(resolution,[status(thm)],[f384,f225]) ).
fof(f400,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| c0_1(a6)
| c2_1(a6) ),
inference(resolution,[status(thm)],[f384,f233]) ).
fof(f401,plain,
( ~ sQ27_spl
| ~ sQ62_spl
| c0_1(a1)
| c2_1(a1) ),
inference(resolution,[status(thm)],[f384,f245]) ).
fof(f402,definition,
( sQ66_spl
<=> c0_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ22_spl
| ~ sQ62_spl
| sQ66_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f399,f300,f402,f383,f224]) ).
fof(f406,definition,
( sQ67_spl
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ67_spl
| c0_1(a6) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| sQ67_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f400,f236,f406,f383,f232]) ).
fof(f410,definition,
( sQ68_spl
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ68_spl
| c2_1(a1) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( ~ sQ27_spl
| ~ sQ62_spl
| sQ28_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f401,f410,f248,f383,f244]) ).
fof(f414,plain,
( ~ sQ28_spl
| ~ sQ64_spl
| c1_1(a1)
| ~ c3_1(a1) ),
inference(resolution,[status(thm)],[f391,f249]) ).
fof(f415,plain,
( ~ sQ28_spl
| ~ sQ64_spl
| sQ29_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f414,f244,f252,f390,f248]) ).
fof(f416,plain,
( ~ sQ17_spl
| ~ sQ61_spl
| c0_1(a15)
| ~ c1_1(a15) ),
inference(resolution,[status(thm)],[f380,f205]) ).
fof(f417,plain,
( ~ sQ25_spl
| ~ sQ61_spl
| c0_1(a6)
| ~ c1_1(a6) ),
inference(resolution,[status(thm)],[f380,f237]) ).
fof(f418,definition,
( sQ69_spl
<=> c0_1(a15) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ69_spl
| c0_1(a15) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ sQ17_spl
| ~ sQ61_spl
| sQ69_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f416,f200,f418,f379,f204]) ).
fof(f422,plain,
( ~ sQ25_spl
| ~ sQ61_spl
| sQ67_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f417,f228,f406,f379,f236]) ).
fof(f423,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| c2_1(a6)
| ~ c1_1(a6) ),
inference(resolution,[status(thm)],[f394,f407]) ).
fof(f424,plain,
( ~ sQ28_spl
| ~ sQ65_spl
| c2_1(a1)
| ~ c1_1(a1) ),
inference(resolution,[status(thm)],[f394,f249]) ).
fof(f425,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| sQ25_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f423,f228,f236,f393,f406]) ).
fof(f426,plain,
( ~ sQ28_spl
| ~ sQ65_spl
| sQ68_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f424,f252,f410,f393,f248]) ).
fof(f427,plain,
( ~ sQ65_spl
| ~ sQ69_spl
| c2_1(a15)
| ~ c1_1(a15) ),
inference(resolution,[status(thm)],[f419,f394]) ).
fof(f428,plain,
( ~ sQ65_spl
| ~ sQ69_spl
| sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f427,f200,f204,f418,f393]) ).
fof(f429,plain,
( ~ sQ61_spl
| ~ sQ68_spl
| c0_1(a1)
| ~ c1_1(a1) ),
inference(resolution,[status(thm)],[f411,f380]) ).
fof(f430,plain,
( ~ sQ61_spl
| ~ sQ68_spl
| sQ28_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f429,f252,f248,f410,f379]) ).
fof(f431,plain,
( ~ sQ61_spl
| ~ sQ32_spl
| c0_1(a11)
| ~ c1_1(a11) ),
inference(resolution,[status(thm)],[f265,f380]) ).
fof(f432,plain,
( ~ sQ61_spl
| ~ sQ32_spl
| sQ50_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f431,f260,f336,f264,f379]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| sQ4_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
| sQ22_spl
| sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ31_spl
| sQ32_spl
| sQ37_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ65_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN490-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.70 % Computer : n013.cluster.edu
% 0.19/5.70 % Model : x86_64 x86_64
% 0.19/5.70 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.70 % Memory : 8046.5625MB
% 0.19/5.70 % OS : Linux 6.8.0-71-generic
% 0.19/5.70 % CPULimit : 300
% 0.19/5.70 % WCLimit : 300
% 0.19/5.70 % DateTime : Mon Sep 21 11:01:45 UTC 2026
% 0.22/5.70 % CPUTime :
% 0.22/5.71 % Drodi V4.1.1
% 0.22/5.73 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.22/5.73 % SZS output start Saturation for theBenchmark
% See solution above
% 0.22/5.76 % Elapsed time: 0.052453 seconds
% 0.22/5.76 % CPU time: 0.087820 seconds
% 0.22/5.76 % Total memory used: 5.414 MB
% 0.22/5.76 % Net memory used: 5.407 MB
%------------------------------------------------------------------------------