%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN523-1 : 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 : n002.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 03:19:55 PM UTC 2026
% Result : Satisfiable 0.17s 0.46s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c2_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( c3_0
| ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( c3_0
| ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c2_0
| c3_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ndr1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( c1_0
| c2_0
| c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC1
| c4_1(a146) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c3_0
| c1_1(a154)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c2_0
| ~ c5_1(a145) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c5_1(a144)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ndr1_0
| ~ c2_0
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ssSkC3
| ~ c1_1(a153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ssSkC3
| ~ c5_1(a153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC1
| ~ c3_1(a146) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c3_0
| ~ c5_1(a154)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ~ c3_0
| ~ c2_1(a151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ~ c3_0
| ~ c3_1(a151) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c3_0
| ~ c4_1(a150)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ndr1_0
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ~ c4_0
| ~ c4_1(a144) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c2_2(U,a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c5_2(U,a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a141) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c5_1(a148)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ~ c2_0
| ~ c1_1(a143)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ~ c1_0
| ~ c5_0
| ~ c3_1(a148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ~ c1_0
| ~ c5_0
| ~ c2_1(a148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [U] :
( c4_0
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U] :
( c2_0
| c3_1(a152)
| c4_1(U)
| c5_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U] :
( c4_0
| c5_1(U)
| c3_2(U,a147)
| ~ ndr1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U] :
( ssSkC2
| c3_1(U)
| c4_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U] :
( c2_0
| c4_1(U)
| c5_1(U)
| ~ c4_1(a152)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U] :
( c2_0
| c4_1(U)
| c5_1(U)
| ~ c1_1(a152)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [U] :
( c4_0
| c5_1(U)
| ~ ndr1_0
| ~ c1_2(U,a147)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U] :
( c4_0
| c5_1(U)
| ~ ndr1_0
| ~ c5_2(U,a147)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U] :
( ssSkC2
| c3_1(U)
| c4_1(U)
| c5_2(U,a149)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U] :
( ssSkC2
| c3_1(U)
| c4_1(U)
| c4_2(U,a149)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U] :
( ssSkC0
| ndr1_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U] :
( ssSkC0
| c3_2(U,a142)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U] :
( ndr1_1(a155)
| c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U] :
( c3_0
| c5_2(a150,U)
| ~ ndr1_1(a150)
| ~ c4_2(a150,U)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U] :
( ssSkC0
| ~ ndr1_0
| ~ c1_1(U)
| ~ c4_2(U,a142)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U] :
( c1_2(a155,a156)
| c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U] :
( c5_2(a155,a156)
| c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [U] :
( c2_2(a155,a156)
| c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U] :
( c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ c4_1(a155)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U] :
( c3_0
| ~ ndr1_1(a154)
| ~ c1_2(a154,U)
| ~ c5_2(a154,U)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U] :
( c4_2(a144,U)
| c3_2(a144,U)
| ~ c4_0
| ~ ndr1_1(a144)
| ~ c5_2(a144,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [U] :
( c2_0
| ~ ndr1_1(a145)
| ~ c1_2(a145,U)
| ~ c5_2(a145,U)
| ~ c2_2(a145,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U,V] :
( c5_2(a155,U)
| c1_1(V)
| c5_1(V)
| c4_1(V)
| ~ c4_0
| ~ ndr1_1(a155)
| ~ c2_2(a155,U)
| ~ c4_2(a155,U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f57,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f59,plain,
( c3_0
| ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
( c3_0
| ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f62,plain,
( c2_0
| c3_1(a145) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f63,plain,
( ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f64,plain,
( c1_0
| c2_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
( ssSkC1
| c4_1(a146) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f66,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f67,plain,
( c3_0
| c1_1(a154)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f68,plain,
( c2_0
| ~ c5_1(a145) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f69,plain,
( c5_1(a144)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f70,plain,
( ndr1_0
| ~ c2_0
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f71,plain,
( ssSkC3
| ~ c1_1(a153) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f72,plain,
( ssSkC3
| ~ c5_1(a153) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f73,plain,
( ssSkC1
| ~ c3_1(a146) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
( c3_0
| ~ c5_1(a154)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f75,plain,
( ~ c3_0
| ~ c2_1(a151) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f76,plain,
( ~ c3_0
| ~ c3_1(a151) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f77,plain,
( c3_0
| ~ c4_1(a150)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f78,plain,
( ndr1_0
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f79,plain,
( ~ c4_0
| ~ c4_1(a144) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f80,plain,
! [X0] :
( ssSkP0(X0)
| ~ c2_2(X0,a141) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f81,plain,
! [X0] :
( ssSkP0(X0)
| ~ c5_2(X0,a141) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f82,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a141) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f83,plain,
( c5_1(a148)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f84,plain,
( ~ c2_0
| ~ c1_1(a143)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f85,plain,
( ~ c1_0
| ~ c5_0
| ~ c3_1(a148) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f86,plain,
( ~ c1_0
| ~ c5_0
| ~ c2_1(a148) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f87,plain,
( c4_0
| ! [U] :
( c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f88,plain,
! [X0] :
( c4_0
| c5_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
( c2_0
| c3_1(a152)
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f90,plain,
! [X0] :
( c2_0
| c3_1(a152)
| c4_1(X0)
| c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
( c4_0
| ! [U] :
( c5_1(U)
| c3_2(U,a147)
| ~ ndr1_0
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f92,plain,
! [X0] :
( c4_0
| c5_1(X0)
| c3_2(X0,a147)
| ~ ndr1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
( ssSkC2
| ! [U] :
( c3_1(U)
| c4_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f94,plain,
! [X0] :
( ssSkC2
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
( c2_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ c4_1(a152)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f96,plain,
! [X0] :
( c2_0
| c4_1(X0)
| c5_1(X0)
| ~ c4_1(a152)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
( c2_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ c1_1(a152)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f98,plain,
! [X0] :
( c2_0
| c4_1(X0)
| c5_1(X0)
| ~ c1_1(a152)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
( c4_0
| ! [U] :
( c5_1(U)
| ~ ndr1_0
| ~ c1_2(U,a147)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f100,plain,
! [X0] :
( c4_0
| c5_1(X0)
| ~ ndr1_0
| ~ c1_2(X0,a147)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
( c4_0
| ! [U] :
( c5_1(U)
| ~ ndr1_0
| ~ c5_2(U,a147)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f102,plain,
! [X0] :
( c4_0
| c5_1(X0)
| ~ ndr1_0
| ~ c5_2(X0,a147)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
( ssSkC2
| ! [U] :
( c3_1(U)
| c4_1(U)
| c5_2(U,a149)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f104,plain,
! [X0] :
( ssSkC2
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a149)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
( ssSkC2
| ! [U] :
( c3_1(U)
| c4_1(U)
| c4_2(U,a149)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f106,plain,
! [X0] :
( ssSkC2
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a149)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
( ssSkC0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f108,plain,
! [X0] :
( ssSkC0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
( ssSkC0
| ! [U] :
( c3_2(U,a142)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f110,plain,
! [X0] :
( ssSkC0
| c3_2(X0,a142)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
( ndr1_1(a155)
| ! [U] :
( c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f112,plain,
! [X0] :
( ndr1_1(a155)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
( c3_0
| ! [U] :
( c5_2(a150,U)
| ~ ndr1_1(a150)
| ~ c4_2(a150,U)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f114,plain,
! [X0] :
( c3_0
| c5_2(a150,X0)
| ~ ndr1_1(a150)
| ~ c4_2(a150,X0)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
( ssSkC0
| ~ ndr1_0
| ! [U] :
( ~ c1_1(U)
| ~ c4_2(U,a142)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f116,plain,
! [X0] :
( ssSkC0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c4_2(X0,a142)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
( c1_2(a155,a156)
| ! [U] :
( c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f118,plain,
! [X0] :
( c1_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
( c5_2(a155,a156)
| ! [U] :
( c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f120,plain,
! [X0] :
( c5_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
( c2_2(a155,a156)
| ! [U] :
( c1_1(U)
| c5_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f122,plain,
! [X0] :
( c2_2(a155,a156)
| c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0] :
( c1_1(X0)
| c5_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ c4_1(a155)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f124,plain,
( c3_0
| ~ ndr1_1(a154)
| ! [U] :
( ~ c1_2(a154,U)
| ~ c5_2(a154,U)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f125,plain,
! [X0] :
( c3_0
| ~ ndr1_1(a154)
| ~ c1_2(a154,X0)
| ~ c5_2(a154,X0)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0] :
( c4_2(a144,X0)
| c3_2(a144,X0)
| ~ c4_0
| ~ ndr1_1(a144)
| ~ c5_2(a144,X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f127,plain,
( c2_0
| ~ ndr1_1(a145)
| ! [U] :
( ~ c1_2(a145,U)
| ~ c5_2(a145,U)
| ~ c2_2(a145,U) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f128,plain,
! [X0] :
( c2_0
| ~ ndr1_1(a145)
| ~ c1_2(a145,X0)
| ~ c5_2(a145,X0)
| ~ c2_2(a145,X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f130,plain,
! [U] :
( c5_2(a155,U)
| ! [V] :
( c1_1(V)
| c5_1(V)
| c4_1(V)
| ~ c4_0
| ~ ndr1_1(a155)
| ~ c2_2(a155,U)
| ~ c4_2(a155,U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f131,plain,
! [X0,X1] :
( c5_2(a155,X0)
| c1_1(X1)
| c5_1(X1)
| c4_1(X1)
| ~ c4_0
| ~ ndr1_1(a155)
| ~ c2_2(a155,X0)
| ~ c4_2(a155,X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ1_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ1_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f132,f135]) ).
fof(f139,definition,
( sQ2_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( sQ2_spl
| ~ ssSkC3 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f132,f139]) ).
fof(f143,definition,
( sQ3_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ3_spl
| ~ ssSkC1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f132,f143]) ).
fof(f147,definition,
( sQ4_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ4_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ4_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f59,f139,f132,f147]) ).
fof(f151,plain,
( sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f60,f147,f132]) ).
fof(f152,definition,
( sQ5_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ5_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ4_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f61,f152,f132,f147]) ).
fof(f156,definition,
( sQ6_spl
<=> c3_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ6_spl
| c3_1(a145) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f62,f156,f135]) ).
fof(f160,definition,
( sQ7_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ7_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f63,f160,f132]) ).
fof(f164,definition,
( sQ8_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f167,definition,
( sQ9_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ9_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ9_spl
| sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f64,f164,f135,f167]) ).
fof(f171,definition,
( sQ10_spl
<=> c4_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ10_spl
| c4_1(a146) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f65,f171,f143]) ).
fof(f175,definition,
( sQ11_spl
<=> c1_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ4_spl
| sQ11_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f67,f139,f175,f147]) ).
fof(f179,definition,
( sQ12_spl
<=> c5_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f68,f179,f135]) ).
fof(f183,definition,
( sQ13_spl
<=> c5_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f69,f160,f183]) ).
fof(f187,definition,
( sQ14_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ14_spl
| ~ ssSkC0 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f70,f187,f135,f132]) ).
fof(f191,definition,
( sQ15_spl
<=> c1_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ15_spl
| ~ c1_1(a153) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ2_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f71,f191,f139]) ).
fof(f195,definition,
( sQ16_spl
<=> c5_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ16_spl
| ~ c5_1(a153) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ2_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f72,f195,f139]) ).
fof(f199,definition,
( sQ17_spl
<=> c3_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ17_spl
| ~ c3_1(a146) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ3_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f73,f199,f143]) ).
fof(f203,definition,
( sQ18_spl
<=> c5_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ4_spl
| ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f74,f139,f203,f147]) ).
fof(f207,definition,
( sQ19_spl
<=> c2_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ4_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f75,f207,f147]) ).
fof(f211,definition,
( sQ20_spl
<=> c3_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f76,f211,f147]) ).
fof(f215,definition,
( sQ21_spl
<=> c4_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ21_spl
| ~ c4_1(a150) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ4_spl
| ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f77,f152,f215,f147]) ).
fof(f219,plain,
( sQ0_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f78,f164,f167,f132]) ).
fof(f220,definition,
( sQ22_spl
<=> c4_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ7_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f79,f220,f160]) ).
fof(f224,definition,
( sQ23_spl
<=> c5_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ23_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f83,f164,f167,f224]) ).
fof(f228,definition,
( sQ24_spl
<=> c1_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ1_spl
| ~ sQ24_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f84,f187,f228,f135]) ).
fof(f232,definition,
( sQ25_spl
<=> c3_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f85,f232,f164,f167]) ).
fof(f236,definition,
( sQ26_spl
<=> c2_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f86,f236,f164,f167]) ).
fof(f240,definition,
! [X0] :
( sQ27_spl
<=> ( c5_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ7_spl
| sQ27_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f88,f143,f132,f240,f160]) ).
fof(f244,definition,
! [X0] :
( sQ28_spl
<=> ( c4_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ28_spl
| c4_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ29_spl
<=> c3_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ1_spl
| sQ29_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f132,f244,f247,f135]) ).
fof(f251,definition,
! [X0] :
( sQ30_spl
<=> ( c5_1(X0)
| c3_2(X0,a147) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ7_spl
| sQ30_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f92,f143,f132,f251,f160]) ).
fof(f255,definition,
! [X0] :
( sQ31_spl
<=> ( c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0] :
( ~ sQ31_spl
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ5_spl
| sQ31_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f132,f255,f152]) ).
fof(f259,definition,
( sQ32_spl
<=> c4_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ1_spl
| sQ28_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f96,f132,f259,f244,f135]) ).
fof(f263,definition,
( sQ33_spl
<=> c1_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ1_spl
| sQ28_spl
| ~ sQ33_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f98,f132,f263,f244,f135]) ).
fof(f267,definition,
! [X0] :
( sQ34_spl
<=> ( c5_1(X0)
| ~ c1_2(X0,a147) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ34_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f100,f143,f267,f132,f160]) ).
fof(f271,definition,
! [X0] :
( sQ35_spl
<=> ( c5_1(X0)
| ~ c5_2(X0,a147) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f102,f143,f271,f132,f160]) ).
fof(f275,definition,
! [X0] :
( sQ36_spl
<=> ( c3_1(X0)
| c4_1(X0)
| c5_2(X0,a149) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f276,plain,
! [X0] :
( ~ sQ36_spl
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a149) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ5_spl
| sQ36_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f132,f275,f152]) ).
fof(f279,definition,
! [X0] :
( sQ37_spl
<=> ( c3_1(X0)
| c4_1(X0)
| c4_2(X0,a149) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f280,plain,
! [X0] :
( ~ sQ37_spl
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a149) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( sQ5_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f132,f279,f152]) ).
fof(f283,definition,
! [X0] :
( sQ38_spl
<=> ( ndr1_1(X0)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f284,plain,
! [X0] :
( ~ sQ38_spl
| ndr1_1(X0)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f108,f283,f132,f187]) ).
fof(f287,definition,
! [X0] :
( sQ39_spl
<=> ( c3_2(X0,a142)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f288,plain,
! [X0] :
( ~ sQ39_spl
| c3_2(X0,a142)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f110,f287,f132,f187]) ).
fof(f291,definition,
! [X0] :
( sQ40_spl
<=> ( c1_1(X0)
| c5_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f292,plain,
! [X0] :
( ~ sQ40_spl
| c1_1(X0)
| c5_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ41_spl
<=> ndr1_1(a155) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( sQ41_spl
| sQ40_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f112,f132,f160,f291,f294]) ).
fof(f298,definition,
! [X0] :
( sQ42_spl
<=> ( c5_2(a150,X0)
| ~ c4_2(a150,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f301,definition,
( sQ43_spl
<=> ndr1_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ43_spl
| ~ ndr1_1(a150) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ4_spl
| ~ sQ43_spl
| sQ42_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f114,f152,f298,f301,f147]) ).
fof(f305,definition,
! [X0] :
( sQ44_spl
<=> ( ~ c1_1(X0)
| ~ c4_2(X0,a142)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f306,plain,
! [X0] :
( ~ sQ44_spl
| ~ c1_1(X0)
| ~ c4_2(X0,a142)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( sQ14_spl
| ~ sQ0_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f116,f305,f132,f187]) ).
fof(f309,definition,
( sQ45_spl
<=> c1_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ45_spl
| c1_2(a155,a156) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ45_spl
| sQ40_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f118,f132,f160,f291,f309]) ).
fof(f313,definition,
( sQ46_spl
<=> c5_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ46_spl
| c5_2(a155,a156) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ46_spl
| sQ40_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f120,f132,f160,f291,f313]) ).
fof(f317,definition,
( sQ47_spl
<=> c2_2(a155,a156) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ47_spl
| c2_2(a155,a156) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ47_spl
| sQ40_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f122,f132,f160,f291,f317]) ).
fof(f321,definition,
( sQ48_spl
<=> c4_1(a155) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ48_spl
| ~ c4_1(a155) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ40_spl
| ~ sQ7_spl
| ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f123,f132,f321,f160,f291]) ).
fof(f325,definition,
! [X0] :
( sQ49_spl
<=> ( ~ c1_2(a154,X0)
| ~ c5_2(a154,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f326,plain,
! [X0] :
( ~ sQ49_spl
| ~ c1_2(a154,X0)
| ~ c5_2(a154,X0) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ50_spl
<=> ndr1_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ50_spl
| ~ ndr1_1(a154) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ4_spl
| ~ sQ50_spl
| sQ49_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f125,f139,f325,f328,f147]) ).
fof(f332,definition,
! [X0] :
( sQ51_spl
<=> ( c4_2(a144,X0)
| c3_2(a144,X0)
| ~ c5_2(a144,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f333,plain,
! [X0] :
( ~ sQ51_spl
| c4_2(a144,X0)
| c3_2(a144,X0)
| ~ c5_2(a144,X0) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ52_spl
<=> ndr1_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( sQ52_spl
| ~ ndr1_1(a144) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f126,f332,f335,f160]) ).
fof(f339,definition,
! [X0] :
( sQ53_spl
<=> ( ~ c1_2(a145,X0)
| ~ c5_2(a145,X0)
| ~ c2_2(a145,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f340,plain,
! [X0] :
( ~ sQ53_spl
| ~ c1_2(a145,X0)
| ~ c5_2(a145,X0)
| ~ c2_2(a145,X0) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ54_spl
<=> ndr1_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ54_spl
| ~ ndr1_1(a145) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ1_spl
| ~ sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f128,f339,f342,f135]) ).
fof(f346,definition,
! [X0,X1] :
( sQ55_spl
<=> ( c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f347,plain,
! [X0,X1] :
( ~ sQ55_spl
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f129,f346,f132,f167]) ).
fof(f350,definition,
! [X0] :
( sQ56_spl
<=> ( c5_2(a155,X0)
| ~ c2_2(a155,X0)
| ~ c4_2(a155,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f351,plain,
! [X0] :
( ~ sQ56_spl
| c5_2(a155,X0)
| ~ c2_2(a155,X0)
| ~ c4_2(a155,X0) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ40_spl
| ~ sQ7_spl
| ~ sQ41_spl
| sQ56_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f131,f132,f350,f294,f160,f291]) ).
fof(f354,plain,
( sQ16_spl
| ~ sQ40_spl
| c1_1(a153)
| c4_1(a153) ),
inference(resolution,[status(thm)],[f292,f197]) ).
fof(f355,definition,
( sQ57_spl
<=> c4_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ57_spl
| c4_1(a153) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ16_spl
| ~ sQ40_spl
| sQ15_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f354,f355,f191,f291,f195]) ).
fof(f359,plain,
( sQ16_spl
| ~ sQ28_spl
| c4_1(a153) ),
inference(resolution,[status(thm)],[f245,f197]) ).
fof(f360,plain,
( sQ43_spl
| ~ sQ31_spl
| c3_1(a150)
| c4_1(a150) ),
inference(resolution,[status(thm)],[f256,f303]) ).
fof(f361,plain,
( sQ50_spl
| ~ sQ31_spl
| c3_1(a154)
| c4_1(a154) ),
inference(resolution,[status(thm)],[f256,f330]) ).
fof(f362,plain,
( sQ52_spl
| ~ sQ31_spl
| c3_1(a144)
| c4_1(a144) ),
inference(resolution,[status(thm)],[f256,f337]) ).
fof(f363,plain,
( sQ54_spl
| ~ sQ31_spl
| c3_1(a145)
| c4_1(a145) ),
inference(resolution,[status(thm)],[f256,f344]) ).
fof(f364,definition,
( sQ58_spl
<=> c3_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ58_spl
| c3_1(a150) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( sQ43_spl
| ~ sQ31_spl
| sQ58_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f360,f215,f364,f255,f301]) ).
fof(f368,definition,
( sQ59_spl
<=> c4_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ59_spl
| c4_1(a154) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ60_spl
<=> c3_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ60_spl
| c3_1(a154) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ50_spl
| ~ sQ31_spl
| sQ60_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f361,f368,f371,f255,f328]) ).
fof(f375,definition,
( sQ61_spl
<=> c3_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ61_spl
| c3_1(a144) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ52_spl
| ~ sQ31_spl
| sQ61_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f362,f220,f375,f255,f335]) ).
fof(f379,definition,
( sQ62_spl
<=> c4_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ62_spl
| c4_1(a145) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ54_spl
| ~ sQ31_spl
| sQ6_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f363,f379,f156,f255,f342]) ).
fof(f383,plain,
! [X0] :
( ~ sQ38_spl
| ndr1_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f66]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ28_spl
| sQ31_spl
| sQ36_spl
| sQ37_spl
| sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| sQ44_spl
| sQ58_spl
| sQ59_spl
| sQ60_spl
| sQ61_spl
| sQ62_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN523-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n002.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 11:08:33 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.46 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.46 % SZS output start Saturation for theBenchmark
% See solution above
% 0.40/0.55 % Elapsed time: 0.090562 seconds
% 0.40/0.55 % CPU time: 0.060519 seconds
% 0.40/0.55 % Total memory used: 604.128 KB
% 0.40/0.55 % Net memory used: 603.680 KB
%------------------------------------------------------------------------------