%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN533-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:00 PM UTC 2026
% Result : Satisfiable 0.14s 0.43s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c4_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( c1_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( c2_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( c3_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( c1_0
| c4_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( c1_0
| c5_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( c2_0
| ndr1_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c2_0
| c3_1(a464) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c3_0
| ndr1_1(a445) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c3_0
| c3_1(a445) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ssSkC2
| ndr1_1(a458) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ssSkC2
| c1_1(a458) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC1
| ndr1_1(a453) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ssSkC0
| ndr1_1(a447) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ~ c3_1(a470)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ~ c5_1(a470)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c1_0
| ~ c3_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c2_0
| c1_2(a465,a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c2_0
| ~ c5_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c2_0
| ~ c5_1(a464) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_0
| ~ c2_1(a464) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ndr1_0
| ~ c3_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c2_0
| ndr1_1(a449)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c2_0
| c1_1(a449)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c2_0
| c2_1(a449)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c2_0
| c1_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U] :
( ssSkP1(U)
| c2_2(U,a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U] :
( ssSkP1(U)
| c5_2(U,a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ssSkC2
| c5_2(a458,a459) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ssSkC2
| ~ c5_1(a458) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ssSkC1
| c5_2(a453,a454) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ssSkC1
| ~ c4_1(a453) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U] :
( ssSkP0(U)
| c3_2(U,a443) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( c2_0
| ~ c5_2(a465,a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( c2_0
| ~ c4_2(a465,a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( c1_0
| ndr1_1(a461)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( c1_0
| c1_1(a461)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( c2_1(a460)
| ~ c3_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ndr1_1(a455)
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c2_0
| ndr1_1(a451)
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c2_0
| c3_1(a451)
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c2_0
| c5_2(a449,a450)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c3_0
| ~ c4_2(a445,a446) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( c3_0
| ~ c2_2(a445,a446) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c1_2(U,a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( ssSkC2
| ~ c1_2(a458,a459) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( ssSkC2
| ~ c3_2(a458,a459) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ssSkC1
| ~ c1_2(a453,a454) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ssSkC1
| ~ c3_2(a453,a454) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ssSkC0
| ~ c1_2(a447,a448) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ssSkC0
| ~ c4_2(a447,a448) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ssSkC0
| ~ c2_2(a447,a448) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a443) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( c1_0
| c2_2(a461,a463)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( c1_0
| c1_2(a461,a463)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( c1_0
| c1_2(a461,a462)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( ~ c3_0
| ~ c1_1(a460)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( c1_2(a455,a457)
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( c2_2(a455,a457)
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( c2_2(a455,a456)
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( c3_2(a455,a456)
| ~ c1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( ~ c1_0
| ~ c1_1(a455)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( c2_0
| c3_2(a451,a452)
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( c2_0
| ~ c5_0
| ~ c4_1(a451) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( c2_0
| ~ c2_2(a449,a450)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
( c2_0
| ~ c3_2(a449,a450)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( c1_0
| c3_1(U)
| c2_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
( c1_0
| ~ c2_0
| ~ c5_2(a461,a462) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
( c1_0
| ~ c2_0
| ~ c4_2(a461,a462) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
( ~ c1_0
| ~ c4_2(a455,a457)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
( ~ c1_0
| ~ c4_2(a455,a456)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
( c2_0
| ~ c5_0
| ~ c2_2(a451,a452) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c3_0
| c2_0
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( ssSkC3
| c1_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( c3_2(a460,U)
| ~ c3_0
| ~ ndr1_1(a460)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( ssSkC3
| c1_1(U)
| c5_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U] :
( ssSkC3
| c1_1(U)
| c4_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U] :
( ssSkC3
| c1_1(U)
| c2_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( ssSkC0
| c1_2(a447,U)
| c3_2(a447,U)
| ~ ndr1_1(a447)
| ~ c5_2(a447,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U,V] :
( c1_0
| c3_0
| c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( c2_0
| c2_1(U)
| c5_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U,V,W] :
( c5_2(V,W)
| c2_2(V,W)
| c4_2(V,W)
| c2_1(U)
| ~ c4_1(V)
| ~ c1_1(V)
| ~ ndr1_1(V)
| ~ ndr1_0
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U,V,W,X] :
( c1_0
| ndr1_1(U)
| c3_2(V,X)
| c4_2(V,W)
| c1_2(V,W)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U,V,W,X] :
( c1_0
| c3_2(V,X)
| c4_2(V,W)
| c1_2(V,W)
| ~ c2_1(U)
| ~ c5_2(U,a444)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U,V,W,X] :
( c1_0
| c3_2(V,X)
| c4_2(V,W)
| c1_2(V,W)
| ~ c2_1(U)
| ~ c3_2(U,a444)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,plain,
c4_0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f94,plain,
( ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f95,plain,
( c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f99,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f100,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f101,plain,
( c1_0
| c4_1(a467) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f102,plain,
( c1_0
| c5_1(a467) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f103,plain,
( c2_0
| ndr1_1(a465) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f104,plain,
( c2_0
| c3_1(a464) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f105,plain,
( c3_0
| ndr1_1(a445) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f106,plain,
( c3_0
| c3_1(a445) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f107,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f108,plain,
( ssSkC2
| ndr1_1(a458) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f109,plain,
( ssSkC2
| c1_1(a458) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f110,plain,
( ssSkC1
| ndr1_1(a453) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f111,plain,
( ssSkC0
| ndr1_1(a447) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f112,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f113,plain,
( ~ c3_1(a470)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f114,plain,
( ~ c5_1(a470)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f115,plain,
( c1_0
| ~ c3_1(a467) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f116,plain,
( c2_0
| c1_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f117,plain,
( c2_0
| ~ c5_1(a465) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f118,plain,
( c2_0
| ~ c5_1(a464) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f119,plain,
( c2_0
| ~ c2_1(a464) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f120,plain,
( ndr1_0
| ~ c3_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f121,plain,
( ndr1_0
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f122,plain,
( c2_0
| ndr1_1(a449)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f123,plain,
( c2_0
| c1_1(a449)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f124,plain,
( c2_0
| c2_1(a449)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f125,plain,
( c2_0
| c1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f126,plain,
! [X0] :
( ssSkP1(X0)
| c2_2(X0,a468) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f127,plain,
! [X0] :
( ssSkP1(X0)
| c5_2(X0,a468) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f128,plain,
( ssSkC2
| c5_2(a458,a459) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f129,plain,
( ssSkC2
| ~ c5_1(a458) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f130,plain,
( ssSkC1
| c5_2(a453,a454) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f131,plain,
( ssSkC1
| ~ c4_1(a453) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f132,plain,
! [X0] :
( ssSkP0(X0)
| c3_2(X0,a443) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f133,plain,
( c2_0
| ~ c5_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f134,plain,
( c2_0
| ~ c4_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f135,plain,
( c1_0
| ndr1_1(a461)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f136,plain,
( c1_0
| c1_1(a461)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f137,plain,
( c2_1(a460)
| ~ c3_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f138,plain,
( ndr1_1(a455)
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f139,plain,
( c2_0
| ndr1_1(a451)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f140,plain,
( c2_0
| c3_1(a451)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f141,plain,
( c2_0
| c5_2(a449,a450)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f142,plain,
( c3_0
| ~ c4_2(a445,a446) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f143,plain,
( c3_0
| ~ c2_2(a445,a446) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f144,plain,
! [X0] :
( ssSkP1(X0)
| ~ c1_2(X0,a468) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f145,plain,
( ssSkC2
| ~ c1_2(a458,a459) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f146,plain,
( ssSkC2
| ~ c3_2(a458,a459) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f147,plain,
( ssSkC1
| ~ c1_2(a453,a454) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f148,plain,
( ssSkC1
| ~ c3_2(a453,a454) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f149,plain,
( ssSkC0
| ~ c1_2(a447,a448) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f150,plain,
( ssSkC0
| ~ c4_2(a447,a448) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f151,plain,
( ssSkC0
| ~ c2_2(a447,a448) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f152,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a443) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f153,plain,
( c1_0
| c2_2(a461,a463)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f154,plain,
( c1_0
| c1_2(a461,a463)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f155,plain,
( c1_0
| c1_2(a461,a462)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f156,plain,
( ~ c3_0
| ~ c1_1(a460)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f157,plain,
( c1_2(a455,a457)
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f158,plain,
( c2_2(a455,a457)
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f159,plain,
( c2_2(a455,a456)
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f160,plain,
( c3_2(a455,a456)
| ~ c1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f161,plain,
( ~ c1_0
| ~ c1_1(a455)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f162,plain,
( c2_0
| c3_2(a451,a452)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f163,plain,
( c2_0
| ~ c5_0
| ~ c4_1(a451) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f164,plain,
( c2_0
| ~ c2_2(a449,a450)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f165,plain,
( c2_0
| ~ c3_2(a449,a450)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f166,plain,
( c1_0
| ! [U] :
( c3_1(U)
| c2_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f167,plain,
! [X0] :
( c1_0
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( c1_0
| ~ c2_0
| ~ c5_2(a461,a462) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f169,plain,
( c1_0
| ~ c2_0
| ~ c4_2(a461,a462) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f170,plain,
( ~ c1_0
| ~ c4_2(a455,a457)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f171,plain,
( ~ c1_0
| ~ c4_2(a455,a456)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f172,plain,
( c2_0
| ~ c5_0
| ~ c2_2(a451,a452) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f173,plain,
( c3_0
| c2_0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f174,plain,
! [X0] :
( c3_0
| c2_0
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ssSkC3
| ! [U] :
( c1_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f176,plain,
! [X0] :
( ssSkC3
| c1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( ! [U] : c3_2(a460,U)
| ~ c3_0
| ~ ndr1_1(a460)
| ~ ssSkC2 ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f178,plain,
! [X0] :
( c3_2(a460,X0)
| ~ c3_0
| ~ ndr1_1(a460)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( ssSkC3
| ! [U] :
( c1_1(U)
| c5_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f180,plain,
! [X0] :
( ssSkC3
| c1_1(X0)
| c5_2(X0,a469)
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( ssSkC3
| ! [U] :
( c1_1(U)
| c4_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f182,plain,
! [X0] :
( ssSkC3
| c1_1(X0)
| c4_2(X0,a469)
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( ssSkC3
| ! [U] :
( c1_1(U)
| c2_2(U,a469)
| ~ ndr1_0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f184,plain,
! [X0] :
( ssSkC3
| c1_1(X0)
| c2_2(X0,a469)
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( ssSkC0
| ! [U] :
( c1_2(a447,U)
| c3_2(a447,U)
| ~ ndr1_1(a447)
| ~ c5_2(a447,U) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f186,plain,
! [X0] :
( ssSkC0
| c1_2(a447,X0)
| c3_2(a447,X0)
| ~ ndr1_1(a447)
| ~ c5_2(a447,X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( c1_0
| c3_0
| ! [U,V] :
( c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f188,plain,
! [X0,X1] :
( c1_0
| c3_0
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ! [V] :
( c5_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f190,plain,
! [X0,X1] :
( c2_0
| c2_1(X0)
| c5_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
! [V,W] :
( c5_2(V,W)
| c2_2(V,W)
| c4_2(V,W)
| ! [U] :
( c2_1(U)
| ~ c4_1(V)
| ~ c1_1(V)
| ~ ndr1_1(V)
| ~ ndr1_0
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f192,plain,
! [X0,X1,X2] :
( c5_2(X1,X2)
| c2_2(X1,X2)
| c4_2(X1,X2)
| c2_1(X0)
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( c1_0
| ! [U] :
( ndr1_1(U)
| ! [V,X] :
( c3_2(V,X)
| ! [W] :
( c4_2(V,W)
| c1_2(V,W)
| ~ c2_1(U)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( c1_0
| ndr1_1(X0)
| c3_2(X1,X3)
| c4_2(X1,X2)
| c1_2(X1,X2)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_2(X1,X3)
| ~ ndr1_1(X1)
| ~ c3_2(X1,X2)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( c1_0
| ! [V,X] :
( c3_2(V,X)
| ! [W] :
( c4_2(V,W)
| c1_2(V,W)
| ! [U] :
( ~ c2_1(U)
| ~ c5_2(U,a444)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( c1_0
| c3_2(X1,X3)
| c4_2(X1,X2)
| c1_2(X1,X2)
| ~ c2_1(X0)
| ~ c5_2(X0,a444)
| ~ ndr1_0
| ~ c5_2(X1,X3)
| ~ ndr1_1(X1)
| ~ c3_2(X1,X2)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( c1_0
| ! [V,X] :
( c3_2(V,X)
| ! [W] :
( c4_2(V,W)
| c1_2(V,W)
| ! [U] :
( ~ c2_1(U)
| ~ c3_2(U,a444)
| ~ ndr1_0
| ~ c5_2(V,X)
| ~ ndr1_1(V)
| ~ c3_2(V,W)
| ~ ssSkP0(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( c1_0
| c3_2(X1,X3)
| c4_2(X1,X2)
| c1_2(X1,X2)
| ~ c2_1(X0)
| ~ c3_2(X0,a444)
| ~ ndr1_0
| ~ c5_2(X1,X3)
| ~ ndr1_1(X1)
| ~ c3_2(X1,X2)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,definition,
( sQ0_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ0_spl
| ssSkC3 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ0_spl
| ~ ssSkC3 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f199,f202]) ).
fof(f206,definition,
( sQ2_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ2_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ2_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f95,f202,f206]) ).
fof(f210,definition,
( sQ3_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ3_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f96,f202,f210]) ).
fof(f214,definition,
( sQ4_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ4_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( sQ4_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f97,f202,f214]) ).
fof(f218,definition,
( sQ5_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ5_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f98,f202,f218]) ).
fof(f222,definition,
( sQ6_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ6_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ6_spl
| ~ ssSkC1 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f99,f202,f222]) ).
fof(f226,definition,
( sQ7_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ7_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f100,f202,f226]) ).
fof(f230,definition,
( sQ8_spl
<=> c4_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ8_spl
| c4_1(a467) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f101,f230,f206]) ).
fof(f234,definition,
( sQ9_spl
<=> c5_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ9_spl
| c5_1(a467) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f102,f234,f206]) ).
fof(f238,definition,
( sQ10_spl
<=> ndr1_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f103,f238,f210]) ).
fof(f242,definition,
( sQ11_spl
<=> c3_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f104,f242,f210]) ).
fof(f246,definition,
( sQ12_spl
<=> ndr1_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f105,f246,f214]) ).
fof(f250,definition,
( sQ13_spl
<=> c3_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f106,f250,f214]) ).
fof(f254,definition,
( sQ14_spl
<=> ndr1_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ14_spl
| ndr1_1(a458) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f108,f254,f218]) ).
fof(f258,definition,
( sQ15_spl
<=> c1_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ15_spl
| c1_1(a458) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f109,f258,f218]) ).
fof(f262,definition,
( sQ16_spl
<=> ndr1_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ16_spl
| ndr1_1(a453) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ6_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f110,f262,f222]) ).
fof(f266,definition,
( sQ17_spl
<=> ndr1_1(a447) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ17_spl
| ndr1_1(a447) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ7_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f111,f266,f226]) ).
fof(f270,definition,
( sQ18_spl
<=> c3_1(a470) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( sQ18_spl
| ~ c3_1(a470) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( ~ sQ18_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f113,f199,f270]) ).
fof(f274,definition,
( sQ19_spl
<=> c5_1(a470) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( sQ19_spl
| ~ c5_1(a470) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f114,f199,f274]) ).
fof(f278,definition,
( sQ20_spl
<=> c3_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ20_spl
| ~ c3_1(a467) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ2_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f115,f278,f206]) ).
fof(f282,definition,
( sQ21_spl
<=> c1_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( sQ3_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f116,f282,f210]) ).
fof(f286,definition,
( sQ22_spl
<=> c5_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ3_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f117,f286,f210]) ).
fof(f290,definition,
( sQ23_spl
<=> c5_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( sQ3_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f118,f290,f210]) ).
fof(f294,definition,
( sQ24_spl
<=> c2_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( sQ3_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f119,f294,f210]) ).
fof(f298,plain,
( sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f120,f218,f214,f202]) ).
fof(f299,plain,
( sQ1_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f121,f222,f206,f202]) ).
fof(f300,definition,
( sQ25_spl
<=> ndr1_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ3_spl
| sQ25_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f122,f226,f300,f210]) ).
fof(f304,definition,
( sQ26_spl
<=> c1_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ3_spl
| sQ26_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f123,f226,f304,f210]) ).
fof(f308,definition,
( sQ27_spl
<=> c2_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ3_spl
| sQ27_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f124,f226,f308,f210]) ).
fof(f312,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f125,f214,f206,f210]) ).
fof(f313,definition,
( sQ28_spl
<=> c5_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ28_spl
| c5_2(a458,a459) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ5_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f128,f313,f218]) ).
fof(f317,definition,
( sQ29_spl
<=> c5_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ29_spl
| ~ c5_1(a458) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ5_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f129,f317,f218]) ).
fof(f321,definition,
( sQ30_spl
<=> c5_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ30_spl
| c5_2(a453,a454) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ6_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f130,f321,f222]) ).
fof(f325,definition,
( sQ31_spl
<=> c4_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ31_spl
| ~ c4_1(a453) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( sQ6_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f131,f325,f222]) ).
fof(f329,definition,
( sQ32_spl
<=> c5_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( sQ3_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f133,f329,f210]) ).
fof(f333,definition,
( sQ33_spl
<=> c4_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( sQ3_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f134,f333,f210]) ).
fof(f337,definition,
( sQ34_spl
<=> ndr1_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ34_spl
| ndr1_1(a461) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ2_spl
| sQ34_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f135,f210,f337,f206]) ).
fof(f341,definition,
( sQ35_spl
<=> c1_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ35_spl
| c1_1(a461) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ2_spl
| sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f136,f210,f341,f206]) ).
fof(f345,definition,
( sQ36_spl
<=> c2_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ36_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f137,f218,f214,f345]) ).
fof(f349,definition,
( sQ37_spl
<=> ndr1_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ37_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f138,f222,f206,f349]) ).
fof(f353,definition,
( sQ38_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ38_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ39_spl
<=> ndr1_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ3_spl
| sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f139,f353,f356,f210]) ).
fof(f360,definition,
( sQ40_spl
<=> c3_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( sQ3_spl
| sQ40_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f140,f353,f360,f210]) ).
fof(f364,definition,
( sQ41_spl
<=> c5_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ3_spl
| sQ41_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f141,f226,f364,f210]) ).
fof(f368,definition,
( sQ42_spl
<=> c4_2(a445,a446) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ4_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f142,f368,f214]) ).
fof(f372,definition,
( sQ43_spl
<=> c2_2(a445,a446) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( sQ4_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f143,f372,f214]) ).
fof(f376,definition,
( sQ44_spl
<=> c1_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( sQ44_spl
| ~ c1_2(a458,a459) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ5_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f145,f376,f218]) ).
fof(f380,definition,
( sQ45_spl
<=> c3_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( sQ45_spl
| ~ c3_2(a458,a459) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ5_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f146,f380,f218]) ).
fof(f384,definition,
( sQ46_spl
<=> c1_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ46_spl
| ~ c1_2(a453,a454) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ6_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f147,f384,f222]) ).
fof(f388,definition,
( sQ47_spl
<=> c3_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ47_spl
| ~ c3_2(a453,a454) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ6_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f148,f388,f222]) ).
fof(f392,definition,
( sQ48_spl
<=> c1_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ48_spl
| ~ c1_2(a447,a448) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ7_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f149,f392,f226]) ).
fof(f396,definition,
( sQ49_spl
<=> c4_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( sQ49_spl
| ~ c4_2(a447,a448) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ7_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f150,f396,f226]) ).
fof(f400,definition,
( sQ50_spl
<=> c2_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ50_spl
| ~ c2_2(a447,a448) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ7_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f151,f400,f226]) ).
fof(f404,definition,
( sQ51_spl
<=> c2_2(a461,a463) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ51_spl
| c2_2(a461,a463) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ2_spl
| sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f153,f210,f404,f206]) ).
fof(f408,definition,
( sQ52_spl
<=> c1_2(a461,a463) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ52_spl
| c1_2(a461,a463) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ2_spl
| sQ52_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f154,f210,f408,f206]) ).
fof(f412,definition,
( sQ53_spl
<=> c1_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ53_spl
| c1_2(a461,a462) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ2_spl
| sQ53_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f155,f210,f412,f206]) ).
fof(f416,definition,
( sQ54_spl
<=> c1_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ4_spl
| ~ sQ54_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f156,f218,f416,f214]) ).
fof(f420,definition,
( sQ55_spl
<=> c1_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ55_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f157,f222,f206,f420]) ).
fof(f424,definition,
( sQ56_spl
<=> c2_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ56_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f158,f222,f206,f424]) ).
fof(f428,definition,
( sQ57_spl
<=> c2_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ57_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f159,f222,f206,f428]) ).
fof(f432,definition,
( sQ58_spl
<=> c3_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ58_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f160,f222,f206,f432]) ).
fof(f436,definition,
( sQ59_spl
<=> c1_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ2_spl
| ~ sQ59_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f161,f222,f436,f206]) ).
fof(f440,definition,
( sQ60_spl
<=> c3_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ3_spl
| sQ60_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f162,f353,f440,f210]) ).
fof(f444,definition,
( sQ61_spl
<=> c4_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ3_spl
| ~ sQ38_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f163,f444,f353,f210]) ).
fof(f448,definition,
( sQ62_spl
<=> c2_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ3_spl
| ~ sQ62_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f164,f226,f448,f210]) ).
fof(f452,definition,
( sQ63_spl
<=> c3_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ3_spl
| ~ sQ63_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f165,f226,f452,f210]) ).
fof(f456,definition,
! [X0] :
( sQ64_spl
<=> ( c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f457,plain,
! [X0] :
( ~ sQ64_spl
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ2_spl
| sQ64_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f167,f202,f456,f206]) ).
fof(f460,definition,
( sQ65_spl
<=> c5_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ65_spl
| ~ c5_2(a461,a462) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f168,f460,f210,f206]) ).
fof(f464,definition,
( sQ66_spl
<=> c4_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ66_spl
| ~ c4_2(a461,a462) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f169,f464,f210,f206]) ).
fof(f468,definition,
( sQ67_spl
<=> c4_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f170,f222,f468,f206]) ).
fof(f472,definition,
( sQ68_spl
<=> c4_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ2_spl
| ~ sQ68_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f171,f222,f472,f206]) ).
fof(f476,definition,
( sQ69_spl
<=> c2_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ3_spl
| ~ sQ38_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f172,f476,f353,f210]) ).
fof(f480,definition,
! [X0] :
( sQ70_spl
<=> ( c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f481,plain,
! [X0] :
( ~ sQ70_spl
| c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ4_spl
| sQ3_spl
| ~ sQ1_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f174,f480,f202,f210,f214]) ).
fof(f484,definition,
! [X0] :
( sQ71_spl
<=> ( c1_1(X0)
| ndr1_1(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f485,plain,
! [X0] :
( ~ sQ71_spl
| c1_1(X0)
| ndr1_1(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ0_spl
| ~ sQ1_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f176,f484,f202,f199]) ).
fof(f488,definition,
( sQ72_spl
<=> ndr1_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f491,definition,
! [X0] :
( sQ73_spl
<=> c3_2(a460,X0) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( sQ73_spl
| ~ sQ4_spl
| ~ sQ72_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f178,f218,f488,f214,f491]) ).
fof(f495,definition,
! [X0] :
( sQ74_spl
<=> ( c1_1(X0)
| c5_2(X0,a469)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f496,plain,
! [X0] :
( ~ sQ74_spl
| c1_1(X0)
| c5_2(X0,a469)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ0_spl
| ~ sQ1_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f180,f495,f202,f199]) ).
fof(f499,definition,
! [X0] :
( sQ75_spl
<=> ( c1_1(X0)
| c4_2(X0,a469)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f500,plain,
! [X0] :
( ~ sQ75_spl
| c1_1(X0)
| c4_2(X0,a469)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ0_spl
| ~ sQ1_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f182,f499,f202,f199]) ).
fof(f503,definition,
! [X0] :
( sQ76_spl
<=> ( c1_1(X0)
| c2_2(X0,a469)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ76_spl
| c1_1(X0)
| c2_2(X0,a469)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ0_spl
| ~ sQ1_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f184,f503,f202,f199]) ).
fof(f507,definition,
! [X0] :
( sQ77_spl
<=> ( c1_2(a447,X0)
| c3_2(a447,X0)
| ~ c5_2(a447,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f508,plain,
! [X0] :
( ~ sQ77_spl
| c1_2(a447,X0)
| c3_2(a447,X0)
| ~ c5_2(a447,X0) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( sQ7_spl
| ~ sQ17_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f186,f507,f266,f226]) ).
fof(f511,definition,
! [X0,X1] :
( sQ78_spl
<=> ( c4_2(X0,X1)
| c5_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ2_spl
| sQ4_spl
| ~ sQ1_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f188,f511,f202,f214,f206]) ).
fof(f515,definition,
! [X0,X1] :
( sQ79_spl
<=> ( c2_1(X0)
| c5_2(X0,X1)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f190,f515,f202,f206,f210]) ).
fof(f519,definition,
! [X1,X2] :
( sQ80_spl
<=> ( c5_2(X1,X2)
| c2_2(X1,X2)
| c4_2(X1,X2)
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( sQ80_spl
| ~ sQ1_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f192,f480,f202,f519]) ).
fof(f523,definition,
! [X0] :
( sQ81_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f526,definition,
! [X1,X2,X3] :
( sQ82_spl
<=> ( c3_2(X1,X3)
| c4_2(X1,X2)
| c1_2(X1,X2)
| ~ c5_2(X1,X3)
| ~ ndr1_1(X1)
| ~ c3_2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f527,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| c3_2(X0,X2)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f194,f523,f526,f202,f206]) ).
fof(f530,definition,
! [X0] :
( sQ83_spl
<=> ( ~ c2_1(X0)
| ~ c5_2(X0,a444)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ82_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f196,f530,f526,f202,f206]) ).
fof(f534,definition,
! [X0] :
( sQ84_spl
<=> ( ~ c2_1(X0)
| ~ c3_2(X0,a444)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ82_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f198,f534,f526,f202,f206]) ).
fof(f538,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ70_spl
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f481]) ).
fof(f539,plain,
! [X0] :
( ~ sQ71_spl
| c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f107]) ).
fof(f540,plain,
! [X0,X1] :
( ~ sQ82_spl
| ssSkP1(X0)
| c3_2(X0,a468)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(resolution,[status(thm)],[f527,f127]) ).
fof(f541,plain,
! [X0,X1] :
( ~ sQ82_spl
| ssSkP1(X0)
| c3_2(X0,a468)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f107]) ).
fof(f542,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ28_spl
| c3_2(a458,a459)
| c4_2(a458,X0)
| c1_2(a458,X0)
| ~ ndr1_1(a458)
| ~ c3_2(a458,X0) ),
inference(resolution,[status(thm)],[f314,f527]) ).
fof(f543,definition,
! [X0] :
( sQ85_spl
<=> ( c4_2(a458,X0)
| c1_2(a458,X0)
| ~ c3_2(a458,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ82_spl
| ~ sQ28_spl
| sQ45_spl
| ~ sQ14_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f542,f543,f254,f380,f313,f526]) ).
fof(f547,plain,
( ~ sQ77_spl
| ssSkP1(a447)
| c1_2(a447,a468)
| c3_2(a447,a468) ),
inference(resolution,[status(thm)],[f508,f127]) ).
fof(f548,definition,
( sQ86_spl
<=> c3_2(a447,a468) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f551,definition,
( sQ87_spl
<=> c1_2(a447,a468) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ87_spl
| c1_2(a447,a468) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ88_spl
<=> ssSkP1(a447) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ88_spl
| ssSkP1(a447) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ77_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f547,f548,f551,f554,f507]) ).
fof(f558,plain,
( ~ sQ76_spl
| ~ sQ88_spl
| c1_1(a447)
| c2_2(a447,a469) ),
inference(resolution,[status(thm)],[f555,f504]) ).
fof(f559,plain,
( ~ sQ75_spl
| ~ sQ88_spl
| c1_1(a447)
| c4_2(a447,a469) ),
inference(resolution,[status(thm)],[f555,f500]) ).
fof(f560,plain,
( ~ sQ74_spl
| ~ sQ88_spl
| c1_1(a447)
| c5_2(a447,a469) ),
inference(resolution,[status(thm)],[f555,f496]) ).
fof(f561,definition,
( sQ89_spl
<=> c2_2(a447,a469) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ89_spl
| c2_2(a447,a469) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ90_spl
<=> c1_1(a447) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ90_spl
| c1_1(a447) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ76_spl
| ~ sQ88_spl
| sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f558,f561,f564,f554,f503]) ).
fof(f568,definition,
( sQ91_spl
<=> c4_2(a447,a469) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ91_spl
| c4_2(a447,a469) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( ~ sQ75_spl
| ~ sQ88_spl
| sQ90_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f559,f568,f564,f554,f499]) ).
fof(f572,definition,
( sQ92_spl
<=> c5_2(a447,a469) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ92_spl
| c5_2(a447,a469) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ74_spl
| ~ sQ88_spl
| sQ90_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f560,f572,f564,f554,f495]) ).
fof(f576,plain,
( ~ sQ77_spl
| ~ sQ92_spl
| c1_2(a447,a469)
| c3_2(a447,a469) ),
inference(resolution,[status(thm)],[f573,f508]) ).
fof(f577,definition,
( sQ93_spl
<=> c3_2(a447,a469) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ93_spl
| c3_2(a447,a469) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ94_spl
<=> c1_2(a447,a469) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ94_spl
| c1_2(a447,a469) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ77_spl
| ~ sQ92_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f576,f577,f580,f572,f507]) ).
fof(f584,plain,
( ~ sQ87_spl
| ssSkP1(a447) ),
inference(resolution,[status(thm)],[f552,f144]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ28_spl
| ~ sQ29_spl
| sQ30_spl
| ~ sQ31_spl
| ~ sQ38_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| sQ70_spl
| sQ71_spl
| sQ77_spl
| ~ sQ82_spl
| sQ87_spl
| sQ89_spl
| sQ90_spl
| sQ91_spl
| sQ93_spl
| sQ94_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN533-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n006.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 11:06:12 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 0.14/0.43 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.43 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.51 % Elapsed time: 0.089552 seconds
% 0.14/0.51 % CPU time: 0.071611 seconds
% 0.14/0.51 % Total memory used: 1.944 MB
% 0.14/0.51 % Net memory used: 1.939 MB
%------------------------------------------------------------------------------