%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN535-1 : 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 : n016.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 03:20:01 PM UTC 2026
% Result : Satisfiable 0.15s 0.45s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c1_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c3_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( c1_0
| c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC8
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC7
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ssSkC6
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ssSkC4
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c2_0
| ndr1_0
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ndr1_0
| ~ ssSkC4
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c3_0
| ndr1_1(a495) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c3_0
| c2_1(a495) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ssSkC8
| ndr1_1(a517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ssSkC8
| c4_1(a517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC7
| c1_1(a513) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ssSkC7
| c3_1(a513) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ssSkC4
| c3_1(a507) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ssSkC2
| ndr1_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ssSkC2
| c3_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ssSkC0
| ndr1_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ssSkC0
| c5_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( ndr1_0
| ~ c2_0
| ~ ssSkC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c3_1(a516)
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_0
| ndr1_1(a514)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c2_0
| c1_1(a514)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ c4_0
| ~ ssSkC6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c5_1(a508)
| ~ ssSkC4
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c1_1(a508)
| ~ ssSkC4
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c1_0
| ~ c4_1(a499) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c3_0
| c4_1(a498)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( c3_0
| c4_2(a495,a496) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c3_0
| c2_2(a495,a496) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c1_0
| c3_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( c4_0
| c3_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ c5_0
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ssSkC8
| c3_2(a517,a518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ssSkC8
| c5_2(a517,a518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ssSkC8
| ~ c2_1(a517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ssSkC7
| ~ c4_1(a513) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ssSkC6
| ~ c3_1(a511) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ssSkC6
| ~ c2_1(a511) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ssSkC5
| ~ c2_1(a509) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ssSkC4
| ~ c4_1(a507) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ssSkC2
| c1_2(a500,a501) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ssSkC2
| ~ c2_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ssSkC0
| ~ c2_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c1_1(a519)
| ~ c2_0
| ~ ssSkC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ c1_0
| ~ c1_1(a516) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c2_0
| c3_2(a514,a515)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c2_0
| c2_2(a514,a515)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( c4_1(a512)
| ~ c4_0
| ~ ssSkC6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( c1_1(a512)
| ~ c4_0
| ~ ssSkC6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( c3_0
| ~ c5_2(a495,a496) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( c1_0
| ~ c3_1(a494)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( c1_0
| ~ c4_1(a494)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ssSkC8
| ~ c4_2(a517,a518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( ssSkC2
| ~ c2_2(a500,a501) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( ssSkC2
| ~ c3_2(a500,a501) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( ssSkC0
| ~ c5_2(a492,a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( ssSkC0
| ~ c3_2(a492,a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( ssSkC0
| ~ c2_2(a492,a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( ~ c2_0
| ~ c2_1(a519)
| ~ ssSkC8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( c2_0
| ~ c5_2(a514,a515)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( ~ c4_0
| ~ c3_1(a512)
| ~ ssSkC6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U] :
( c5_0
| c5_1(U)
| c4_1(U)
| ~ c3_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U] :
( ssSkC3
| c4_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U] :
( ssSkC3
| c4_1(U)
| c4_2(U,a506)
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [U] :
( ssSkC3
| c4_1(U)
| c5_2(U,a506)
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U] :
( c3_0
| c3_2(a498,U)
| ~ ndr1_1(a498)
| ~ c4_2(a498,U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( c3_0
| ~ ndr1_1(a495)
| ~ c3_2(a495,U)
| ~ c5_2(a495,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( ssSkC3
| c4_1(U)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c3_2(U,a506) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( c2_0
| ndr1_1(a503)
| c2_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c2_0
| c4_2(a503,a504)
| c2_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( ssSkC6
| c4_2(a511,U)
| c2_2(a511,U)
| ~ ndr1_1(a511)
| ~ c3_2(a511,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( ssSkC5
| c5_2(a509,U)
| c4_2(a509,U)
| ~ ndr1_1(a509)
| ~ c2_2(a509,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c5_2(a516,U)
| c3_2(a516,U)
| ~ c1_0
| ~ ndr1_1(a516)
| ~ c4_2(a516,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( c2_0
| c3_2(a514,U)
| c5_2(a514,U)
| ~ ndr1_1(a514)
| ~ c4_2(a514,U)
| ~ ssSkC7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( c2_0
| c2_1(U)
| ~ c3_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( c2_0
| c2_1(U)
| ~ c5_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U] :
( c2_0
| c2_1(U)
| ~ c2_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U] :
( c2_0
| c2_1(U)
| ~ c2_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( c2_0
| c2_1(U)
| ~ c5_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U] :
( c1_0
| c1_2(a494,U)
| c3_2(a494,U)
| ~ ndr1_1(a494)
| ~ c4_2(a494,U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( ssSkC1
| c3_1(U)
| c5_2(U,a497)
| c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U,V] :
( ssSkC1
| c3_1(U)
| c1_2(U,a497)
| c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U,V] :
( ssSkC1
| c3_1(U)
| c3_2(U,a497)
| c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U] :
( ssSkC4
| ~ ndr1_1(a507)
| ~ c5_2(a507,U)
| ~ c3_2(a507,U)
| ~ c2_2(a507,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U,V,W] :
( c2_1(W)
| ndr1_1(W)
| c3_1(U)
| ~ c3_1(W)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U,V] :
( c5_1(U)
| c5_2(U,a502)
| c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U,V] :
( c5_1(U)
| c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c2_2(U,a502)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U,V] :
( c5_1(U)
| c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c3_2(U,a502)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [U,V] :
( ~ c5_0
| ~ c4_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [U,V,W] :
( c2_1(W)
| c3_1(U)
| ~ c3_1(W)
| ~ c2_2(W,a510)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [U,V,W] :
( c2_1(W)
| c3_1(U)
| ~ c3_1(W)
| ~ c3_2(W,a510)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [U,V,W] :
( c5_1(W)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [U,V] :
( c2_0
| c1_2(a503,V)
| c2_1(U)
| ~ ndr1_1(a503)
| ~ c5_2(a503,V)
| ~ c3_2(a503,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,plain,
( c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f102,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f103,plain,
( c1_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
( ssSkC8
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( ssSkC7
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f106,plain,
( ssSkC6
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f107,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f108,plain,
( ssSkC4
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f109,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f110,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f111,plain,
( ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f112,plain,
( c2_0
| ndr1_0
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f113,plain,
( ndr1_0
| ~ ssSkC4
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f114,plain,
( c3_0
| ndr1_1(a495) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f115,plain,
( c3_0
| c2_1(a495) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f116,plain,
( ssSkC8
| ndr1_1(a517) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f117,plain,
( ssSkC8
| c4_1(a517) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f118,plain,
( ssSkC7
| c1_1(a513) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f119,plain,
( ssSkC7
| c3_1(a513) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f120,plain,
( ssSkC4
| c3_1(a507) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f121,plain,
( ssSkC2
| ndr1_1(a500) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f122,plain,
( ssSkC2
| c3_1(a500) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f123,plain,
( ssSkC0
| ndr1_1(a492) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f124,plain,
( ssSkC0
| c5_1(a492) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f125,plain,
( ndr1_0
| ~ c2_0
| ~ ssSkC8 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f126,plain,
( c3_1(a516)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f127,plain,
( c2_0
| ndr1_1(a514)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f128,plain,
( c2_0
| c1_1(a514)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f129,plain,
( ndr1_0
| ~ c4_0
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f130,plain,
( c5_1(a508)
| ~ ssSkC4
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f131,plain,
( c1_1(a508)
| ~ ssSkC4
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f132,plain,
( c1_0
| ~ c4_1(a499) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f133,plain,
( c3_0
| c4_1(a498)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f134,plain,
( c3_0
| c4_2(a495,a496) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f135,plain,
( c3_0
| c2_2(a495,a496) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f136,plain,
( c1_0
| c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f137,plain,
( c4_0
| c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f138,plain,
( ~ c5_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f139,plain,
( ssSkC8
| c3_2(a517,a518) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f140,plain,
( ssSkC8
| c5_2(a517,a518) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f141,plain,
( ssSkC8
| ~ c2_1(a517) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f142,plain,
( ssSkC7
| ~ c4_1(a513) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f143,plain,
( ssSkC6
| ~ c3_1(a511) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f144,plain,
( ssSkC6
| ~ c2_1(a511) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f145,plain,
( ssSkC5
| ~ c2_1(a509) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f146,plain,
( ssSkC4
| ~ c4_1(a507) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f147,plain,
( ssSkC2
| c1_2(a500,a501) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f148,plain,
( ssSkC2
| ~ c2_1(a500) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f149,plain,
( ssSkC0
| ~ c2_1(a492) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f150,plain,
( c1_1(a519)
| ~ c2_0
| ~ ssSkC8 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f151,plain,
( ~ c1_0
| ~ c1_1(a516) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f152,plain,
( c2_0
| c3_2(a514,a515)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f153,plain,
( c2_0
| c2_2(a514,a515)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f154,plain,
( c4_1(a512)
| ~ c4_0
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f155,plain,
( c1_1(a512)
| ~ c4_0
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f156,plain,
( c3_0
| ~ c5_2(a495,a496) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f157,plain,
( c1_0
| ~ c3_1(a494)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f158,plain,
( c1_0
| ~ c4_1(a494)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f159,plain,
( c3_0
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f160,plain,
( ssSkC8
| ~ c4_2(a517,a518) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f161,plain,
( ssSkC2
| ~ c2_2(a500,a501) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f162,plain,
( ssSkC2
| ~ c3_2(a500,a501) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f163,plain,
( ssSkC0
| ~ c5_2(a492,a493) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f164,plain,
( ssSkC0
| ~ c3_2(a492,a493) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f165,plain,
( ssSkC0
| ~ c2_2(a492,a493) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f166,plain,
( ~ c2_0
| ~ c2_1(a519)
| ~ ssSkC8 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f167,plain,
( c2_0
| ~ c5_2(a514,a515)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f168,plain,
( ~ c4_0
| ~ c3_1(a512)
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f169,plain,
( c5_0
| ! [U] :
( c5_1(U)
| c4_1(U)
| ~ c3_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f170,plain,
! [X0] :
( c5_0
| c5_1(X0)
| c4_1(X0)
| ~ c3_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( ssSkC3
| ! [U] :
( c4_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f172,plain,
! [X0] :
( ssSkC3
| c4_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( ssSkC3
| ! [U] :
( c4_1(U)
| c4_2(U,a506)
| ~ ndr1_0
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f174,plain,
! [X0] :
( ssSkC3
| c4_1(X0)
| c4_2(X0,a506)
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ssSkC3
| ! [U] :
( c4_1(U)
| c5_2(U,a506)
| ~ ndr1_0
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f176,plain,
! [X0] :
( ssSkC3
| c4_1(X0)
| c5_2(X0,a506)
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( c3_0
| ! [U] :
( c3_2(a498,U)
| ~ ndr1_1(a498)
| ~ c4_2(a498,U)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f178,plain,
! [X0] :
( c3_0
| c3_2(a498,X0)
| ~ ndr1_1(a498)
| ~ c4_2(a498,X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( c3_0
| ~ ndr1_1(a495)
| ! [U] :
( ~ c3_2(a495,U)
| ~ c5_2(a495,U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f180,plain,
! [X0] :
( c3_0
| ~ ndr1_1(a495)
| ~ c3_2(a495,X0)
| ~ c5_2(a495,X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( ssSkC3
| ! [U] :
( c4_1(U)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c3_2(U,a506) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f182,plain,
! [X0] :
( ssSkC3
| c4_1(X0)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c3_2(X0,a506) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( c2_0
| ndr1_1(a503)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f184,plain,
! [X0] :
( c2_0
| ndr1_1(a503)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( c2_0
| c4_2(a503,a504)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f186,plain,
! [X0] :
( c2_0
| c4_2(a503,a504)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( ssSkC6
| ! [U] :
( c4_2(a511,U)
| c2_2(a511,U)
| ~ ndr1_1(a511)
| ~ c3_2(a511,U) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f188,plain,
! [X0] :
( ssSkC6
| c4_2(a511,X0)
| c2_2(a511,X0)
| ~ ndr1_1(a511)
| ~ c3_2(a511,X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( ssSkC5
| ! [U] :
( c5_2(a509,U)
| c4_2(a509,U)
| ~ ndr1_1(a509)
| ~ c2_2(a509,U) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f190,plain,
! [X0] :
( ssSkC5
| c5_2(a509,X0)
| c4_2(a509,X0)
| ~ ndr1_1(a509)
| ~ c2_2(a509,X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
! [X0] :
( c5_2(a516,X0)
| c3_2(a516,X0)
| ~ c1_0
| ~ ndr1_1(a516)
| ~ c4_2(a516,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f192,plain,
( c2_0
| ! [U] :
( c3_2(a514,U)
| c5_2(a514,U)
| ~ ndr1_1(a514)
| ~ c4_2(a514,U)
| ~ ssSkC7 ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f193,plain,
! [X0] :
( c2_0
| c3_2(a514,X0)
| c5_2(a514,X0)
| ~ ndr1_1(a514)
| ~ c4_2(a514,X0)
| ~ ssSkC7 ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ~ c3_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f195,plain,
! [X0] :
( c2_0
| c2_1(X0)
| ~ c3_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ~ c5_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f197,plain,
! [X0] :
( c2_0
| c2_1(X0)
| ~ c5_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ~ c2_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f199,plain,
! [X0] :
( c2_0
| c2_1(X0)
| ~ c2_2(a503,a505)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ~ c2_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f201,plain,
! [X0] :
( c2_0
| c2_1(X0)
| ~ c2_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
( c2_0
| ! [U] :
( c2_1(U)
| ~ c5_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f203,plain,
! [X0] :
( c2_0
| c2_1(X0)
| ~ c5_2(a503,a504)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( c1_0
| ! [U] :
( c1_2(a494,U)
| c3_2(a494,U)
| ~ ndr1_1(a494)
| ~ c4_2(a494,U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f205,plain,
! [X0] :
( c1_0
| c1_2(a494,X0)
| c3_2(a494,X0)
| ~ ndr1_1(a494)
| ~ c4_2(a494,X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( ssSkC1
| ! [U] :
( c3_1(U)
| c5_2(U,a497)
| ! [V] :
( c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f207,plain,
! [X0,X1] :
( ssSkC1
| c3_1(X0)
| c5_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( ssSkC1
| ! [U] :
( c3_1(U)
| c1_2(U,a497)
| ! [V] :
( c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f209,plain,
! [X0,X1] :
( ssSkC1
| c3_1(X0)
| c1_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
( ssSkC1
| ! [U] :
( c3_1(U)
| c3_2(U,a497)
| ! [V] :
( c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f211,plain,
! [X0,X1] :
( ssSkC1
| c3_1(X0)
| c3_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
( ssSkC4
| ~ ndr1_1(a507)
| ! [U] :
( ~ c5_2(a507,U)
| ~ c3_2(a507,U)
| ~ c2_2(a507,U) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f213,plain,
! [X0] :
( ssSkC4
| ~ ndr1_1(a507)
| ~ c5_2(a507,X0)
| ~ c3_2(a507,X0)
| ~ c2_2(a507,X0) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
! [W] :
( c2_1(W)
| ndr1_1(W)
| ! [U] :
( c3_1(U)
| ~ c3_1(W)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f215,plain,
! [X0,X1,X2] :
( c2_1(X2)
| ndr1_1(X2)
| c3_1(X0)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f216,plain,
! [U] :
( c5_1(U)
| c5_2(U,a502)
| ! [V] :
( c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f217,plain,
! [X0,X1] :
( c5_1(X0)
| c5_2(X0,a502)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
! [U] :
( c5_1(U)
| ! [V] :
( c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c2_2(U,a502)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f219,plain,
! [X0,X1] :
( c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ c2_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
! [U] :
( c5_1(U)
| ! [V] :
( c1_2(U,V)
| c3_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c3_2(U,a502)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f221,plain,
! [X0,X1] :
( c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ c3_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( ~ c5_0
| ~ c4_0
| ~ ndr1_0
| ! [U] :
( ~ c3_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c5_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f223,plain,
! [X0,X1] :
( ~ c5_0
| ~ c4_0
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
! [W] :
( c2_1(W)
| ! [U] :
( c3_1(U)
| ~ c3_1(W)
| ~ c2_2(W,a510)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f225,plain,
! [X0,X1,X2] :
( c2_1(X2)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c2_2(X2,a510)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
! [W] :
( c2_1(W)
| ! [U] :
( c3_1(U)
| ~ c3_1(W)
| ~ c3_2(W,a510)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c4_2(U,V)
| ~ ssSkC5 ) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f227,plain,
! [X0,X1,X2] :
( c2_1(X2)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c3_2(X2,a510)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( ! [W] : c5_1(W)
| ! [U,V] :
( c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f229,plain,
! [X0,X1,X2] :
( c5_1(X2)
| c5_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( c2_0
| ! [V] :
( c1_2(a503,V)
| ! [U] :
( c2_1(U)
| ~ ndr1_1(a503)
| ~ c5_2(a503,V)
| ~ c3_2(a503,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f231,plain,
! [X0,X1] :
( c2_0
| c1_2(a503,X1)
| c2_1(X0)
| ~ ndr1_1(a503)
| ~ c5_2(a503,X1)
| ~ c3_2(a503,X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ1_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ1_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f101,f232,f235]) ).
fof(f239,definition,
( sQ2_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ2_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f102,f232,f239]) ).
fof(f243,definition,
( sQ3_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( sQ3_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f103,f243,f235]) ).
fof(f247,definition,
( sQ4_spl
<=> ssSkC8 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ4_spl
| ssSkC8 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f232,f247]) ).
fof(f251,definition,
( sQ5_spl
<=> ssSkC7 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ5_spl
| ~ ssSkC7 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f232,f251]) ).
fof(f255,definition,
( sQ6_spl
<=> ssSkC6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f232,f255]) ).
fof(f259,definition,
( sQ7_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ7_spl
| ~ ssSkC5 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f107,f232,f259]) ).
fof(f263,definition,
( sQ8_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ8_spl
| ~ ssSkC4 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f232,f263]) ).
fof(f267,definition,
( sQ9_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ9_spl
| ssSkC2 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f232,f267]) ).
fof(f271,definition,
( sQ10_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ10_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f110,f232,f271]) ).
fof(f275,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f111,f235,f232]) ).
fof(f276,definition,
( sQ11_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ11_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ11_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f112,f251,f232,f276]) ).
fof(f280,definition,
( sQ12_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ12_spl
| ssSkC3 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f113,f280,f263,f232]) ).
fof(f284,definition,
( sQ13_spl
<=> ndr1_1(a495) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f114,f284,f239]) ).
fof(f288,definition,
( sQ14_spl
<=> c2_1(a495) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ14_spl
| c2_1(a495) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f115,f288,f239]) ).
fof(f292,definition,
( sQ15_spl
<=> ndr1_1(a517) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ15_spl
| ndr1_1(a517) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f116,f292,f247]) ).
fof(f296,definition,
( sQ16_spl
<=> c4_1(a517) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ16_spl
| c4_1(a517) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( sQ4_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f117,f296,f247]) ).
fof(f300,definition,
( sQ17_spl
<=> c1_1(a513) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ17_spl
| c1_1(a513) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f118,f300,f251]) ).
fof(f304,definition,
( sQ18_spl
<=> c3_1(a513) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ18_spl
| c3_1(a513) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ5_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f119,f304,f251]) ).
fof(f308,definition,
( sQ19_spl
<=> c3_1(a507) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ19_spl
| c3_1(a507) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( sQ8_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f120,f308,f263]) ).
fof(f312,definition,
( sQ20_spl
<=> ndr1_1(a500) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ20_spl
| ndr1_1(a500) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( sQ9_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f121,f312,f267]) ).
fof(f316,definition,
( sQ21_spl
<=> c3_1(a500) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ21_spl
| c3_1(a500) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ9_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f122,f316,f267]) ).
fof(f320,definition,
( sQ22_spl
<=> ndr1_1(a492) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ22_spl
| ndr1_1(a492) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ10_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f123,f320,f271]) ).
fof(f324,definition,
( sQ23_spl
<=> c5_1(a492) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ23_spl
| c5_1(a492) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ10_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f124,f324,f271]) ).
fof(f328,plain,
( sQ0_spl
| ~ sQ11_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f125,f247,f276,f232]) ).
fof(f329,definition,
( sQ24_spl
<=> c3_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ24_spl
| c3_1(a516) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ24_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f126,f235,f329]) ).
fof(f333,definition,
( sQ25_spl
<=> ndr1_1(a514) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ25_spl
| ~ ndr1_1(a514) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( sQ11_spl
| sQ25_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f127,f251,f333,f276]) ).
fof(f337,definition,
( sQ26_spl
<=> c1_1(a514) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ26_spl
| c1_1(a514) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ11_spl
| sQ26_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f128,f251,f337,f276]) ).
fof(f341,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f129,f255,f243,f232]) ).
fof(f342,definition,
( sQ27_spl
<=> c5_1(a508) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ27_spl
| c5_1(a508) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ27_spl
| ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f130,f280,f263,f342]) ).
fof(f346,definition,
( sQ28_spl
<=> c1_1(a508) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ28_spl
| c1_1(a508) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ28_spl
| ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f131,f280,f263,f346]) ).
fof(f350,definition,
( sQ29_spl
<=> c4_1(a499) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ29_spl
| ~ c4_1(a499) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f132,f350,f235]) ).
fof(f354,definition,
( sQ30_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ30_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ31_spl
<=> c4_1(a498) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ31_spl
| c4_1(a498) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ2_spl
| sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f133,f354,f357,f239]) ).
fof(f361,definition,
( sQ32_spl
<=> c4_2(a495,a496) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ32_spl
| c4_2(a495,a496) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ2_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f134,f361,f239]) ).
fof(f365,definition,
( sQ33_spl
<=> c2_2(a495,a496) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ33_spl
| c2_2(a495,a496) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ2_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f135,f365,f239]) ).
fof(f369,definition,
( sQ34_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ34_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ1_spl
| sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f136,f369,f239,f235]) ).
fof(f373,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f137,f369,f239,f243]) ).
fof(f374,plain,
( ~ sQ34_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f138,f276,f369]) ).
fof(f375,definition,
( sQ35_spl
<=> c3_2(a517,a518) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ35_spl
| c3_2(a517,a518) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ4_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f139,f375,f247]) ).
fof(f379,definition,
( sQ36_spl
<=> c5_2(a517,a518) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ36_spl
| c5_2(a517,a518) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ4_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f140,f379,f247]) ).
fof(f383,definition,
( sQ37_spl
<=> c2_1(a517) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ37_spl
| ~ c2_1(a517) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ4_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f141,f383,f247]) ).
fof(f387,definition,
( sQ38_spl
<=> c4_1(a513) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ38_spl
| ~ c4_1(a513) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ5_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f142,f387,f251]) ).
fof(f391,definition,
( sQ39_spl
<=> c3_1(a511) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ39_spl
| ~ c3_1(a511) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ6_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f143,f391,f255]) ).
fof(f395,definition,
( sQ40_spl
<=> c2_1(a511) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ40_spl
| ~ c2_1(a511) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ6_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f144,f395,f255]) ).
fof(f399,definition,
( sQ41_spl
<=> c2_1(a509) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ41_spl
| ~ c2_1(a509) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ7_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f145,f399,f259]) ).
fof(f403,definition,
( sQ42_spl
<=> c4_1(a507) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ42_spl
| ~ c4_1(a507) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ8_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f146,f403,f263]) ).
fof(f407,definition,
( sQ43_spl
<=> c1_2(a500,a501) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ43_spl
| c1_2(a500,a501) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ9_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f147,f407,f267]) ).
fof(f411,definition,
( sQ44_spl
<=> c2_1(a500) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ44_spl
| ~ c2_1(a500) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ9_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f148,f411,f267]) ).
fof(f415,definition,
( sQ45_spl
<=> c2_1(a492) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ45_spl
| ~ c2_1(a492) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ10_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f149,f415,f271]) ).
fof(f419,definition,
( sQ46_spl
<=> c1_1(a519) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ46_spl
| c1_1(a519) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ46_spl
| ~ sQ11_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f150,f247,f276,f419]) ).
fof(f423,definition,
( sQ47_spl
<=> c1_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ47_spl
| ~ c1_1(a516) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( ~ sQ1_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f151,f423,f235]) ).
fof(f427,definition,
( sQ48_spl
<=> c3_2(a514,a515) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ48_spl
| c3_2(a514,a515) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ11_spl
| sQ48_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f152,f251,f427,f276]) ).
fof(f431,definition,
( sQ49_spl
<=> c2_2(a514,a515) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ49_spl
| c2_2(a514,a515) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ11_spl
| sQ49_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f153,f251,f431,f276]) ).
fof(f435,definition,
( sQ50_spl
<=> c4_1(a512) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ50_spl
| c4_1(a512) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f154,f255,f243,f435]) ).
fof(f439,definition,
( sQ51_spl
<=> c1_1(a512) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ51_spl
| c1_1(a512) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ51_spl
| ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f155,f255,f243,f439]) ).
fof(f443,definition,
( sQ52_spl
<=> c5_2(a495,a496) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ52_spl
| ~ c5_2(a495,a496) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ2_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f156,f443,f239]) ).
fof(f447,definition,
( sQ53_spl
<=> c3_1(a494) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ53_spl
| ~ c3_1(a494) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ1_spl
| ~ sQ53_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f157,f271,f447,f235]) ).
fof(f451,definition,
( sQ54_spl
<=> c4_1(a494) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ54_spl
| ~ c4_1(a494) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ1_spl
| ~ sQ54_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f158,f271,f451,f235]) ).
fof(f455,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f159,f243,f235,f239]) ).
fof(f456,definition,
( sQ55_spl
<=> c4_2(a517,a518) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( sQ55_spl
| ~ c4_2(a517,a518) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ4_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f160,f456,f247]) ).
fof(f460,definition,
( sQ56_spl
<=> c2_2(a500,a501) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ56_spl
| ~ c2_2(a500,a501) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ9_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f161,f460,f267]) ).
fof(f464,definition,
( sQ57_spl
<=> c3_2(a500,a501) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ57_spl
| ~ c3_2(a500,a501) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f162,f464,f267]) ).
fof(f468,definition,
( sQ58_spl
<=> c5_2(a492,a493) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( sQ58_spl
| ~ c5_2(a492,a493) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ10_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f163,f468,f271]) ).
fof(f472,definition,
( sQ59_spl
<=> c3_2(a492,a493) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ59_spl
| ~ c3_2(a492,a493) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ10_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f164,f472,f271]) ).
fof(f476,definition,
( sQ60_spl
<=> c2_2(a492,a493) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ60_spl
| ~ c2_2(a492,a493) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ10_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f165,f476,f271]) ).
fof(f480,definition,
( sQ61_spl
<=> c2_1(a519) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ61_spl
| ~ c2_1(a519) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f166,f247,f480,f276]) ).
fof(f484,definition,
( sQ62_spl
<=> c5_2(a514,a515) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ62_spl
| ~ c5_2(a514,a515) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ11_spl
| ~ sQ62_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f167,f251,f484,f276]) ).
fof(f488,definition,
( sQ63_spl
<=> c3_1(a512) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( sQ63_spl
| ~ c3_1(a512) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ sQ3_spl
| ~ sQ63_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f168,f255,f488,f243]) ).
fof(f492,definition,
! [X0] :
( sQ64_spl
<=> ( c5_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f493,plain,
! [X0] :
( ~ sQ64_spl
| c5_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ34_spl
| sQ64_spl
| ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f170,f232,f239,f492,f369]) ).
fof(f496,definition,
! [X0] :
( sQ65_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ65_spl
| c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( sQ12_spl
| ~ sQ0_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f172,f496,f232,f280]) ).
fof(f500,definition,
! [X0] :
( sQ66_spl
<=> ( c4_1(X0)
| c4_2(X0,a506)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f501,plain,
! [X0] :
( ~ sQ66_spl
| c4_1(X0)
| c4_2(X0,a506)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( sQ12_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f174,f500,f232,f280]) ).
fof(f504,definition,
! [X0] :
( sQ67_spl
<=> ( c4_1(X0)
| c5_2(X0,a506)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f505,plain,
! [X0] :
( ~ sQ67_spl
| c4_1(X0)
| c5_2(X0,a506)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ12_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f176,f504,f232,f280]) ).
fof(f508,definition,
! [X0] :
( sQ68_spl
<=> ( c3_2(a498,X0)
| ~ c4_2(a498,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f509,plain,
! [X0] :
( ~ sQ68_spl
| c3_2(a498,X0)
| ~ c4_2(a498,X0) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ69_spl
<=> ndr1_1(a498) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ69_spl
| ~ ndr1_1(a498) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ2_spl
| ~ sQ69_spl
| sQ68_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f178,f354,f508,f511,f239]) ).
fof(f515,definition,
! [X0] :
( sQ70_spl
<=> ( ~ c3_2(a495,X0)
| ~ c5_2(a495,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ70_spl
| ~ c3_2(a495,X0)
| ~ c5_2(a495,X0) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ2_spl
| ~ sQ13_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f180,f515,f284,f239]) ).
fof(f519,definition,
! [X0] :
( sQ71_spl
<=> ( c4_1(X0)
| ~ c5_1(X0)
| ~ c3_2(X0,a506) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ71_spl
| c4_1(X0)
| ~ c5_1(X0)
| ~ c3_2(X0,a506) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ12_spl
| ~ sQ0_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f182,f519,f232,f280]) ).
fof(f523,definition,
! [X0] :
( sQ72_spl
<=> ( c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f524,plain,
! [X0] :
( ~ sQ72_spl
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ73_spl
<=> ndr1_1(a503) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ73_spl
| ndr1_1(a503) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( sQ11_spl
| sQ73_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f184,f523,f232,f526,f276]) ).
fof(f530,definition,
( sQ74_spl
<=> c4_2(a503,a504) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ74_spl
| c4_2(a503,a504) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ11_spl
| sQ74_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f186,f523,f232,f530,f276]) ).
fof(f534,definition,
! [X0] :
( sQ75_spl
<=> ( c4_2(a511,X0)
| c2_2(a511,X0)
| ~ c3_2(a511,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f535,plain,
! [X0] :
( ~ sQ75_spl
| c4_2(a511,X0)
| c2_2(a511,X0)
| ~ c3_2(a511,X0) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ76_spl
<=> ndr1_1(a511) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ76_spl
| ~ ndr1_1(a511) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ6_spl
| ~ sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f188,f534,f537,f255]) ).
fof(f541,definition,
! [X0] :
( sQ77_spl
<=> ( c5_2(a509,X0)
| c4_2(a509,X0)
| ~ c2_2(a509,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f542,plain,
! [X0] :
( ~ sQ77_spl
| c5_2(a509,X0)
| c4_2(a509,X0)
| ~ c2_2(a509,X0) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ78_spl
<=> ndr1_1(a509) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ78_spl
| ~ ndr1_1(a509) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( sQ7_spl
| ~ sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f190,f541,f544,f259]) ).
fof(f548,definition,
! [X0] :
( sQ79_spl
<=> ( c5_2(a516,X0)
| c3_2(a516,X0)
| ~ c4_2(a516,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f549,plain,
! [X0] :
( ~ sQ79_spl
| c5_2(a516,X0)
| c3_2(a516,X0)
| ~ c4_2(a516,X0) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ80_spl
<=> ndr1_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ80_spl
| ~ ndr1_1(a516) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ1_spl
| ~ sQ80_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f191,f548,f551,f235]) ).
fof(f555,definition,
! [X0] :
( sQ81_spl
<=> ( c3_2(a514,X0)
| c5_2(a514,X0)
| ~ c4_2(a514,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f556,plain,
! [X0] :
( ~ sQ81_spl
| c3_2(a514,X0)
| c5_2(a514,X0)
| ~ c4_2(a514,X0) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( sQ11_spl
| ~ sQ25_spl
| sQ81_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f193,f251,f555,f333,f276]) ).
fof(f559,definition,
( sQ82_spl
<=> c3_2(a503,a505) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ82_spl
| ~ c3_2(a503,a505) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( sQ11_spl
| ~ sQ82_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f195,f523,f232,f559,f276]) ).
fof(f563,definition,
( sQ83_spl
<=> c5_2(a503,a505) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( sQ83_spl
| ~ c5_2(a503,a505) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( sQ11_spl
| ~ sQ83_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f197,f523,f232,f563,f276]) ).
fof(f567,definition,
( sQ84_spl
<=> c2_2(a503,a505) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ84_spl
| ~ c2_2(a503,a505) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( sQ11_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f199,f523,f232,f567,f276]) ).
fof(f571,definition,
( sQ85_spl
<=> c2_2(a503,a504) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( sQ85_spl
| ~ c2_2(a503,a504) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( sQ11_spl
| ~ sQ85_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f201,f523,f232,f571,f276]) ).
fof(f575,definition,
( sQ86_spl
<=> c5_2(a503,a504) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( sQ86_spl
| ~ c5_2(a503,a504) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( sQ11_spl
| ~ sQ86_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f203,f523,f232,f575,f276]) ).
fof(f579,definition,
! [X0] :
( sQ87_spl
<=> ( c1_2(a494,X0)
| c3_2(a494,X0)
| ~ c4_2(a494,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f580,plain,
! [X0] :
( ~ sQ87_spl
| c1_2(a494,X0)
| c3_2(a494,X0)
| ~ c4_2(a494,X0) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ88_spl
<=> ndr1_1(a494) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ88_spl
| ~ ndr1_1(a494) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( sQ1_spl
| ~ sQ88_spl
| sQ87_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f205,f271,f579,f582,f235]) ).
fof(f586,definition,
! [X0,X1] :
( sQ89_spl
<=> ( c3_1(X0)
| c5_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f587,plain,
! [X0,X1] :
( ~ sQ89_spl
| c3_1(X0)
| c5_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( sQ30_spl
| ~ sQ0_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f207,f586,f232,f354]) ).
fof(f590,definition,
! [X0,X1] :
( sQ90_spl
<=> ( c3_1(X0)
| c1_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f591,plain,
! [X0,X1] :
( ~ sQ90_spl
| c3_1(X0)
| c1_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( sQ30_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f209,f590,f232,f354]) ).
fof(f594,definition,
! [X0,X1] :
( sQ91_spl
<=> ( c3_1(X0)
| c3_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f595,plain,
! [X0,X1] :
( ~ sQ91_spl
| c3_1(X0)
| c3_2(X0,a497)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( sQ30_spl
| ~ sQ0_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f211,f594,f232,f354]) ).
fof(f598,definition,
! [X0] :
( sQ92_spl
<=> ( ~ c5_2(a507,X0)
| ~ c3_2(a507,X0)
| ~ c2_2(a507,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f599,plain,
! [X0] :
( ~ sQ92_spl
| ~ c5_2(a507,X0)
| ~ c3_2(a507,X0)
| ~ c2_2(a507,X0) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ93_spl
<=> ndr1_1(a507) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( sQ93_spl
| ~ ndr1_1(a507) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ8_spl
| ~ sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f213,f598,f601,f263]) ).
fof(f605,definition,
! [X0,X1] :
( sQ94_spl
<=> ( c3_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f606,plain,
! [X0,X1] :
( ~ sQ94_spl
| c3_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
! [X2] :
( sQ95_spl
<=> ( c2_1(X2)
| ndr1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f609,plain,
! [X0] :
( ~ sQ95_spl
| c2_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( sQ95_spl
| ~ sQ0_spl
| sQ94_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f215,f259,f605,f232,f608]) ).
fof(f612,definition,
! [X0,X1] :
( sQ96_spl
<=> ( c5_1(X0)
| c5_2(X0,a502)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f613,plain,
! [X0,X1] :
( ~ sQ96_spl
| c5_1(X0)
| c5_2(X0,a502)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| sQ96_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f217,f267,f612,f232,f276]) ).
fof(f616,definition,
! [X0,X1] :
( sQ97_spl
<=> ( c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c2_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f617,plain,
! [X0,X1] :
( ~ sQ97_spl
| c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c2_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| sQ97_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f219,f267,f616,f232,f276]) ).
fof(f620,definition,
! [X0,X1] :
( sQ98_spl
<=> ( c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c3_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0,X1] :
( ~ sQ98_spl
| c5_1(X0)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c3_2(X0,a502)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| sQ98_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f221,f267,f620,f232,f276]) ).
fof(f624,definition,
! [X0,X1] :
( sQ99_spl
<=> ( ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ c3_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f223,f624,f232,f243,f369]) ).
fof(f628,definition,
! [X2] :
( sQ100_spl
<=> ( c2_1(X2)
| ~ c3_1(X2)
| ~ c2_2(X2,a510) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f629,plain,
! [X0] :
( ~ sQ100_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c2_2(X0,a510) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ100_spl
| ~ sQ0_spl
| sQ94_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f225,f259,f605,f232,f628]) ).
fof(f632,definition,
! [X2] :
( sQ101_spl
<=> ( c2_1(X2)
| ~ c3_1(X2)
| ~ c3_2(X2,a510) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f633,plain,
! [X0] :
( ~ sQ101_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c3_2(X0,a510) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( sQ101_spl
| ~ sQ0_spl
| sQ94_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f227,f259,f605,f232,f632]) ).
fof(f636,definition,
! [X0,X1] :
( sQ102_spl
<=> ( c5_2(X0,X1)
| ~ c1_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f637,plain,
! [X0,X1] :
( ~ sQ102_spl
| c5_2(X0,X1)
| ~ c1_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
! [X2] :
( sQ103_spl
<=> c5_1(X2) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f640,plain,
! [X0] :
( ~ sQ103_spl
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( sQ103_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f229,f636,f232,f276,f639]) ).
fof(f643,definition,
! [X1] :
( sQ104_spl
<=> ( c1_2(a503,X1)
| ~ c5_2(a503,X1)
| ~ c3_2(a503,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f644,plain,
! [X0] :
( ~ sQ104_spl
| c1_2(a503,X0)
| ~ c5_2(a503,X0)
| ~ c3_2(a503,X0) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( sQ11_spl
| ~ sQ73_spl
| sQ104_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f231,f523,f232,f643,f526,f276]) ).
fof(f647,plain,
( ~ sQ72_spl
| ~ sQ24_spl
| c2_1(a516)
| ~ c1_1(a516) ),
inference(resolution,[status(thm)],[f330,f524]) ).
fof(f648,definition,
( sQ105_spl
<=> c2_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ105_spl
| c2_1(a516) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( ~ sQ72_spl
| ~ sQ24_spl
| sQ105_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f647,f423,f648,f329,f523]) ).
fof(f652,plain,
( ~ sQ72_spl
| ~ sQ18_spl
| c2_1(a513)
| ~ c1_1(a513) ),
inference(resolution,[status(thm)],[f305,f524]) ).
fof(f653,definition,
( sQ106_spl
<=> c2_1(a513) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ106_spl
| c2_1(a513) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( ~ sQ72_spl
| ~ sQ18_spl
| sQ106_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f652,f300,f653,f304,f523]) ).
fof(f657,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ64_spl
| c4_1(X0)
| ~ c3_2(X0,a506) ),
inference(backward_subsumption_resolution,[status(thm)],[f520,f493]) ).
fof(f658,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ64_spl
| c4_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f493]) ).
fof(f659,plain,
( sQ42_spl
| ~ sQ65_spl
| ~ sQ64_spl
| ndr1_1(a507) ),
inference(resolution,[status(thm)],[f658,f405]) ).
fof(f660,plain,
( sQ38_spl
| ~ sQ65_spl
| ~ sQ64_spl
| ndr1_1(a513) ),
inference(resolution,[status(thm)],[f658,f389]) ).
fof(f661,plain,
( ~ sQ18_spl
| ~ sQ95_spl
| c2_1(a513)
| ndr1_1(a513) ),
inference(resolution,[status(thm)],[f609,f305]) ).
fof(f662,plain,
( ~ sQ24_spl
| ~ sQ95_spl
| c2_1(a516)
| ndr1_1(a516) ),
inference(resolution,[status(thm)],[f609,f330]) ).
fof(f663,definition,
( sQ107_spl
<=> ndr1_1(a513) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ107_spl
| ndr1_1(a513) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ sQ18_spl
| ~ sQ95_spl
| sQ106_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f661,f663,f653,f608,f304]) ).
fof(f667,plain,
( ~ sQ24_spl
| ~ sQ95_spl
| sQ105_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f662,f551,f648,f608,f329]) ).
fof(f668,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ64_spl
| c4_1(X0)
| c4_2(X0,a506) ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f493]) ).
fof(f669,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ64_spl
| c4_1(X0)
| c5_2(X0,a506) ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f493]) ).
fof(f670,plain,
( ~ sQ66_spl
| ~ sQ64_spl
| ~ sQ79_spl
| c4_1(a516)
| c5_2(a516,a506)
| c3_2(a516,a506) ),
inference(resolution,[status(thm)],[f549,f668]) ).
fof(f671,definition,
( sQ108_spl
<=> c3_2(a516,a506) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ108_spl
| c3_2(a516,a506) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( sQ108_spl
| ~ c3_2(a516,a506) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ109_spl
<=> c5_2(a516,a506) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ109_spl
| c5_2(a516,a506) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ110_spl
<=> c4_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ110_spl
| c4_1(a516) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( ~ sQ66_spl
| ~ sQ64_spl
| ~ sQ79_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f670,f671,f674,f677,f548,f492,f500]) ).
fof(f681,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ103_spl
| c4_1(X0)
| c5_2(X0,a506) ),
inference(backward_subsumption_resolution,[status(thm)],[f505,f640]) ).
fof(f682,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ103_spl
| c4_1(X0)
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f497,f640]) ).
fof(f683,plain,
( ~ sQ104_spl
| ~ sQ67_spl
| ~ sQ103_spl
| c1_2(a503,a506)
| ~ c3_2(a503,a506)
| c4_1(a503) ),
inference(resolution,[status(thm)],[f681,f644]) ).
fof(f684,definition,
( sQ111_spl
<=> c4_1(a503) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ111_spl
| c4_1(a503) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ112_spl
<=> c3_2(a503,a506) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ112_spl
| ~ c3_2(a503,a506) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ113_spl
<=> c1_2(a503,a506) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ113_spl
| c1_2(a503,a506) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ104_spl
| ~ sQ67_spl
| ~ sQ103_spl
| sQ113_spl
| ~ sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f683,f684,f687,f690,f639,f504,f643]) ).
fof(f694,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ73_spl
| c3_1(a503)
| c3_2(a503,a497)
| c1_2(a503,X0)
| c2_2(a503,X0) ),
inference(resolution,[status(thm)],[f527,f595]) ).
fof(f695,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ73_spl
| c3_1(a503)
| c1_2(a503,a497)
| c1_2(a503,X0)
| c2_2(a503,X0) ),
inference(resolution,[status(thm)],[f527,f591]) ).
fof(f696,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ73_spl
| c3_1(a503)
| c5_2(a503,a497)
| c1_2(a503,X0)
| c2_2(a503,X0) ),
inference(resolution,[status(thm)],[f527,f587]) ).
fof(f697,definition,
! [X0] :
( sQ114_spl
<=> ( c1_2(a503,X0)
| c2_2(a503,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f698,plain,
! [X0] :
( ~ sQ114_spl
| c1_2(a503,X0)
| c2_2(a503,X0) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ115_spl
<=> c3_2(a503,a497) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ115_spl
| c3_2(a503,a497) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ116_spl
<=> c3_1(a503) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ116_spl
| c3_1(a503) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ sQ91_spl
| ~ sQ73_spl
| sQ116_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f694,f697,f700,f703,f526,f594]) ).
fof(f707,definition,
( sQ117_spl
<=> c1_2(a503,a497) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ117_spl
| c1_2(a503,a497) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ sQ90_spl
| ~ sQ73_spl
| sQ116_spl
| sQ117_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f695,f697,f707,f703,f526,f590]) ).
fof(f711,definition,
( sQ118_spl
<=> c5_2(a503,a497) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ118_spl
| c5_2(a503,a497) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ89_spl
| ~ sQ73_spl
| sQ116_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f696,f697,f711,f703,f526,f586]) ).
fof(f715,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ114_spl
| c5_2(a503,X0)
| ~ c1_1(a503)
| ~ c4_1(a503)
| ~ ndr1_1(a503)
| ~ c3_2(a503,X0)
| c2_2(a503,X0) ),
inference(resolution,[status(thm)],[f698,f637]) ).
fof(f716,definition,
! [X0] :
( sQ119_spl
<=> ( c5_2(a503,X0)
| ~ c3_2(a503,X0)
| c2_2(a503,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f717,plain,
! [X0] :
( ~ sQ119_spl
| c5_2(a503,X0)
| ~ c3_2(a503,X0)
| c2_2(a503,X0) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ120_spl
<=> c1_1(a503) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( sQ120_spl
| ~ c1_1(a503) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ102_spl
| ~ sQ114_spl
| ~ sQ120_spl
| ~ sQ111_spl
| ~ sQ73_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f715,f716,f526,f684,f719,f697,f636]) ).
fof(f723,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| c5_1(a503)
| c1_2(a503,a504)
| c3_2(a503,a504)
| ~ c3_2(a503,a502)
| ~ ndr1_1(a503) ),
inference(resolution,[status(thm)],[f531,f621]) ).
fof(f724,plain,
( ~ sQ97_spl
| ~ sQ74_spl
| c5_1(a503)
| c1_2(a503,a504)
| c3_2(a503,a504)
| ~ c2_2(a503,a502)
| ~ ndr1_1(a503) ),
inference(resolution,[status(thm)],[f531,f617]) ).
fof(f725,plain,
( ~ sQ96_spl
| ~ sQ74_spl
| c5_1(a503)
| c5_2(a503,a502)
| c1_2(a503,a504)
| c3_2(a503,a504)
| ~ ndr1_1(a503) ),
inference(resolution,[status(thm)],[f531,f613]) ).
fof(f726,definition,
( sQ121_spl
<=> c3_2(a503,a502) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( sQ121_spl
| ~ c3_2(a503,a502) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ122_spl
<=> c3_2(a503,a504) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ122_spl
| c3_2(a503,a504) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( sQ122_spl
| ~ c3_2(a503,a504) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ123_spl
<=> c1_2(a503,a504) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ123_spl
| c1_2(a503,a504) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ124_spl
<=> c5_1(a503) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ124_spl
| c5_1(a503) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ98_spl
| ~ sQ74_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| ~ sQ121_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f723,f526,f726,f729,f732,f735,f530,f620]) ).
fof(f739,definition,
( sQ125_spl
<=> c2_2(a503,a502) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( sQ125_spl
| ~ c2_2(a503,a502) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ97_spl
| ~ sQ74_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| ~ sQ125_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f724,f526,f739,f729,f732,f735,f530,f616]) ).
fof(f743,definition,
( sQ126_spl
<=> c5_2(a503,a502) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ126_spl
| c5_2(a503,a502) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( ~ sQ96_spl
| ~ sQ74_spl
| sQ124_spl
| sQ126_spl
| sQ123_spl
| sQ122_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f725,f526,f729,f732,f743,f735,f530,f612]) ).
fof(f747,plain,
( ~ sQ99_spl
| ~ sQ109_spl
| ~ c3_1(a516)
| ~ c4_1(a516)
| ~ ndr1_1(a516)
| ~ c4_2(a516,a506) ),
inference(resolution,[status(thm)],[f675,f625]) ).
fof(f748,definition,
( sQ127_spl
<=> c4_2(a516,a506) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( sQ127_spl
| ~ c4_2(a516,a506) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ99_spl
| ~ sQ109_spl
| ~ sQ24_spl
| ~ sQ110_spl
| ~ sQ80_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f747,f748,f551,f677,f329,f674,f624]) ).
fof(f752,plain,
( ~ sQ71_spl
| ~ sQ108_spl
| c4_1(a516)
| ~ c5_1(a516) ),
inference(resolution,[status(thm)],[f672,f520]) ).
fof(f753,plain,
( ~ sQ94_spl
| ~ sQ108_spl
| c3_1(a516)
| ~ ndr1_1(a516)
| ~ c4_2(a516,a506) ),
inference(resolution,[status(thm)],[f672,f606]) ).
fof(f754,definition,
( sQ128_spl
<=> c5_1(a516) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( sQ128_spl
| ~ c5_1(a516) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( ~ sQ71_spl
| ~ sQ108_spl
| sQ110_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f752,f754,f677,f671,f519]) ).
fof(f758,plain,
( ~ sQ94_spl
| ~ sQ108_spl
| sQ24_spl
| ~ sQ80_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f753,f748,f551,f329,f671,f605]) ).
fof(f759,plain,
( ~ sQ65_spl
| ~ sQ124_spl
| c4_1(a503)
| ndr1_1(a503) ),
inference(resolution,[status(thm)],[f736,f497]) ).
fof(f760,plain,
( ~ sQ65_spl
| ~ sQ124_spl
| sQ111_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f759,f526,f684,f735,f496]) ).
fof(f761,plain,
( ~ sQ94_spl
| ~ sQ48_spl
| c3_1(a514)
| ~ ndr1_1(a514)
| ~ c4_2(a514,a515) ),
inference(resolution,[status(thm)],[f428,f606]) ).
fof(f762,definition,
( sQ129_spl
<=> c4_2(a514,a515) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( sQ129_spl
| ~ c4_2(a514,a515) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ130_spl
<=> c3_1(a514) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ130_spl
| c3_1(a514) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( ~ sQ94_spl
| ~ sQ48_spl
| sQ130_spl
| ~ sQ25_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f761,f762,f333,f765,f427,f605]) ).
fof(f769,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| c3_1(a517)
| ~ ndr1_1(a517)
| ~ c4_2(a517,a518) ),
inference(resolution,[status(thm)],[f376,f606]) ).
fof(f770,definition,
( sQ131_spl
<=> c3_1(a517) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ131_spl
| c3_1(a517) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ94_spl
| ~ sQ35_spl
| sQ131_spl
| ~ sQ15_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f769,f456,f292,f770,f375,f605]) ).
fof(f774,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| c1_2(a503,a497)
| ~ c3_2(a503,a497) ),
inference(resolution,[status(thm)],[f712,f644]) ).
fof(f775,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| sQ117_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f774,f700,f707,f711,f643]) ).
fof(f776,plain,
( ~ sQ119_spl
| ~ sQ122_spl
| c5_2(a503,a504)
| c2_2(a503,a504) ),
inference(resolution,[status(thm)],[f730,f717]) ).
fof(f777,plain,
( ~ sQ119_spl
| ~ sQ122_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f776,f571,f575,f729,f716]) ).
fof(f778,plain,
( ~ sQ104_spl
| ~ sQ126_spl
| c1_2(a503,a502)
| ~ c3_2(a503,a502) ),
inference(resolution,[status(thm)],[f744,f644]) ).
fof(f779,definition,
( sQ132_spl
<=> c1_2(a503,a502) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ132_spl
| c1_2(a503,a502) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ104_spl
| ~ sQ126_spl
| sQ132_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f778,f726,f779,f743,f643]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| sQ14_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| ~ sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| sQ34_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl
| sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ72_spl
| sQ73_spl
| sQ74_spl
| sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ80_spl
| sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| sQ92_spl
| ~ sQ93_spl
| ~ sQ95_spl
| sQ100_spl
| sQ101_spl
| sQ104_spl
| sQ105_spl
| sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| sQ114_spl
| sQ116_spl
| sQ117_spl
| ~ sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| sQ123_spl
| sQ124_spl
| ~ sQ125_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| sQ130_spl
| sQ131_spl
| sQ132_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN535-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n016.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 11:11:24 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.45 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.15/0.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.51 % Elapsed time: 0.088400 seconds
% 0.15/0.51 % CPU time: 0.103169 seconds
% 0.15/0.51 % Total memory used: 5.139 MB
% 0.15/0.51 % Net memory used: 5.130 MB
%------------------------------------------------------------------------------