%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN515-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:53 PM UTC 2026
% Result : Satisfiable 0.15s 0.40s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ssSkC6
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ ssSkC6
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c4_0
| ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ssSkC6
| ndr1_1(a24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U] :
( ssSkP2(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC3
| ndr1_1(a14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC3
| c5_1(a14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ssSkC2
| c4_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ssSkC2
| c3_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ssSkC1
| ndr1_1(a8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ssSkC1
| c1_1(a8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ndr1_0
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c2_0
| ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ssSkC6
| c1_2(a24,a25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ssSkC6
| c3_2(a24,a25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U] :
( ssSkP2(U)
| c4_2(U,a22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U] :
( ssSkP2(U)
| c5_2(U,a22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U] :
( ssSkP2(U)
| c2_2(U,a22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( ssSkC3
| c1_2(a14,a15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( ssSkC2
| ~ c5_1(a12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ssSkC1
| c3_2(a8,a9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ssSkC1
| c1_2(a8,a9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ssSkC1
| ~ c3_1(a8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U] :
( ssSkP1(U)
| c4_2(U,a5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U] :
( ssSkP0(U)
| c5_2(U,a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ~ c5_1(a26)
| ~ ssSkC6
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c4_0
| ~ c4_1(a13)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ndr1_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c5_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c1_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( c2_0
| c4_1(a7)
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( c5_0
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ssSkC3
| ~ c3_2(a14,a15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ssSkC3
| ~ c2_2(a14,a15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ssSkC1
| ~ c2_2(a8,a9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c5_2(U,a5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c1_2(U,a5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c3_2(U,a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( c5_2(a10,a11)
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c2_2(a10,a11)
| ~ c4_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c2_0
| ~ c1_0
| ~ c1_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c2_0
| ~ c1_0
| ~ c3_1(a7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ c4_0
| ~ c1_2(a10,a11)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U] :
( c5_1(U)
| c2_1(U)
| ~ c3_1(a16)
| ~ ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U] :
( c5_1(U)
| c2_1(U)
| ~ c5_1(a16)
| ~ ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [U] :
( c4_0
| ndr1_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U] :
( c4_0
| c3_2(a13,U)
| c4_2(a13,U)
| ~ ndr1_1(a13)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U] :
( ssSkC4
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U] :
( c4_0
| c3_2(U,a6)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [U] :
( c4_0
| c2_2(U,a6)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [U] :
( c5_0
| ndr1_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( ssSkC3
| c5_2(a14,U)
| ~ ndr1_1(a14)
| ~ c3_2(a14,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( ssSkC0
| c3_2(a4,U)
| ~ ndr1_1(a4)
| ~ c2_2(a4,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ssSkC4
| c5_2(U,a17)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( ssSkC4
| c1_2(U,a17)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U] :
( c4_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_2(U,a6)
| ~ ssSkC0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U] :
( c5_0
| c3_2(U,a2)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U] :
( ssSkC4
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ c4_2(U,a17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U] :
( c5_0
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ c5_2(U,a2)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [U] :
( c4_2(a26,U)
| c2_2(a26,U)
| ~ ndr1_1(a26)
| ~ c1_2(a26,U)
| ~ ssSkC6
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U] :
( ndr1_1(a19)
| ~ c4_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U] :
( c4_0
| c3_2(a13,U)
| c1_2(a13,U)
| ~ ndr1_1(a13)
| ~ c5_2(a13,U)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U] :
( ssSkC6
| c4_2(a24,U)
| ~ ndr1_1(a24)
| ~ c2_2(a24,U)
| ~ c1_2(a24,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U] :
( ssSkC6
| c1_2(a24,U)
| ~ ndr1_1(a24)
| ~ c3_2(a24,U)
| ~ c4_2(a24,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [U,V] :
( ssSkC5
| c2_2(U,a23)
| c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U,V] :
( ssSkC5
| c4_2(U,a23)
| c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( ssSkC0
| c3_2(a4,U)
| ~ ndr1_1(a4)
| ~ c5_2(a4,U)
| ~ c4_2(a4,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( ssSkC0
| c4_2(a4,U)
| ~ ndr1_1(a4)
| ~ c5_2(a4,U)
| ~ c3_2(a4,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( c3_2(a19,a20)
| ~ c4_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( ~ c4_0
| ~ c2_1(a19)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U,V] :
( ssSkC5
| c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a23)
| ~ ndr1_1(U)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( ~ c4_0
| ~ c4_2(a19,a20)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U,V] :
( c1_1(U)
| c2_2(U,a18)
| c1_2(U,V)
| c3_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U,V] :
( c1_1(U)
| c3_2(U,a18)
| c1_2(U,V)
| c3_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U,V] :
( c5_1(V)
| c2_1(V)
| ~ ndr1_1(a16)
| ~ c3_2(a16,U)
| ~ c1_2(a16,U)
| ~ c4_2(a16,U)
| ~ ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U,V] :
( c4_0
| c5_2(U,a21)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U,V] :
( ~ c4_0
| ~ ndr1_1(a19)
| ~ c4_2(a19,V)
| ~ c3_2(a19,V)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U,V] :
( c4_0
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_2(U,a21)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U,V] :
( c4_0
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_2(U,a21)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U,V] :
( c1_0
| ~ c5_1(a3)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( c1_0
| ~ c3_1(a3)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U,V,W] :
( c1_0
| c3_2(a3,W)
| ~ ndr1_1(a3)
| ~ c1_2(a3,W)
| ~ c5_2(a3,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,plain,
( ssSkC6
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f91,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f92,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f95,plain,
( ndr1_0
| ~ ssSkC6
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f96,plain,
( c4_0
| ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f97,plain,
( ssSkC6
| ndr1_1(a24) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f98,plain,
! [X0] :
( ssSkP2(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f99,plain,
( ssSkC3
| ndr1_1(a14) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f100,plain,
( ssSkC3
| c5_1(a14) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f101,plain,
( ssSkC2
| c4_1(a12) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f102,plain,
( ssSkC2
| c3_1(a12) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f103,plain,
( ssSkC1
| ndr1_1(a8) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f104,plain,
( ssSkC1
| c1_1(a8) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f105,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f106,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f107,plain,
( ndr1_0
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f108,plain,
( c2_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f109,plain,
( ssSkC6
| c1_2(a24,a25) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f110,plain,
( ssSkC6
| c3_2(a24,a25) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f111,plain,
! [X0] :
( ssSkP2(X0)
| c4_2(X0,a22) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f112,plain,
! [X0] :
( ssSkP2(X0)
| c5_2(X0,a22) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f113,plain,
! [X0] :
( ssSkP2(X0)
| c2_2(X0,a22) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f114,plain,
( ssSkC3
| c1_2(a14,a15) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f115,plain,
( ssSkC2
| ~ c5_1(a12) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f116,plain,
( ssSkC1
| c3_2(a8,a9) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f117,plain,
( ssSkC1
| c1_2(a8,a9) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f118,plain,
( ssSkC1
| ~ c3_1(a8) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f119,plain,
! [X0] :
( ssSkP1(X0)
| c4_2(X0,a5) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f120,plain,
! [X0] :
( ssSkP0(X0)
| c5_2(X0,a1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f121,plain,
( ~ c5_1(a26)
| ~ ssSkC6
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f122,plain,
( c4_0
| ~ c4_1(a13)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f123,plain,
( ndr1_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f124,plain,
( c5_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f125,plain,
( c1_1(a10)
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f126,plain,
( c2_0
| c4_1(a7)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f127,plain,
( c5_0
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f128,plain,
( ssSkC3
| ~ c3_2(a14,a15) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f129,plain,
( ssSkC3
| ~ c2_2(a14,a15) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f130,plain,
( ssSkC1
| ~ c2_2(a8,a9) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f131,plain,
! [X0] :
( ssSkP1(X0)
| ~ c5_2(X0,a5) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f132,plain,
! [X0] :
( ssSkP1(X0)
| ~ c1_2(X0,a5) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f133,plain,
! [X0] :
( ssSkP0(X0)
| ~ c3_2(X0,a1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f134,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f135,plain,
( c5_2(a10,a11)
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f136,plain,
( c2_2(a10,a11)
| ~ c4_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f137,plain,
( c2_0
| ~ c1_0
| ~ c1_1(a7) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f138,plain,
( c2_0
| ~ c1_0
| ~ c3_1(a7) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f139,plain,
( ~ c4_0
| ~ c1_2(a10,a11)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f140,plain,
! [X0] :
( c5_1(X0)
| c2_1(X0)
| ~ c3_1(a16)
| ~ ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f141,plain,
! [X0] :
( c5_1(X0)
| c2_1(X0)
| ~ c5_1(a16)
| ~ ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f142,plain,
( c4_0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f143,plain,
! [X0] :
( c4_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ssSkC0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
( c4_0
| ! [U] :
( c3_2(a13,U)
| c4_2(a13,U)
| ~ ndr1_1(a13)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f145,plain,
! [X0] :
( c4_0
| c3_2(a13,X0)
| c4_2(a13,X0)
| ~ ndr1_1(a13)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( ssSkC4
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f147,plain,
! [X0] :
( ssSkC4
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( c4_0
| ! [U] :
( c3_2(U,a6)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f149,plain,
! [X0] :
( c4_0
| c3_2(X0,a6)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ssSkC0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( c4_0
| ! [U] :
( c2_2(U,a6)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f151,plain,
! [X0] :
( c4_0
| c2_2(X0,a6)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ssSkC0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( c5_0
| ! [U] :
( ndr1_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f153,plain,
! [X0] :
( c5_0
| ndr1_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( ssSkC3
| ! [U] :
( c5_2(a14,U)
| ~ ndr1_1(a14)
| ~ c3_2(a14,U) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f155,plain,
! [X0] :
( ssSkC3
| c5_2(a14,X0)
| ~ ndr1_1(a14)
| ~ c3_2(a14,X0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( ssSkC0
| ! [U] :
( c3_2(a4,U)
| ~ ndr1_1(a4)
| ~ c2_2(a4,U) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f157,plain,
! [X0] :
( ssSkC0
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| ~ c2_2(a4,X0) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
( ssSkC4
| ! [U] :
( c5_2(U,a17)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f159,plain,
! [X0] :
( ssSkC4
| c5_2(X0,a17)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f160,plain,
( ssSkC4
| ! [U] :
( c1_2(U,a17)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f161,plain,
! [X0] :
( ssSkC4
| c1_2(X0,a17)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( c4_0
| ~ ndr1_0
| ! [U] :
( ~ c3_1(U)
| ~ c5_2(U,a6)
| ~ ssSkC0
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f163,plain,
! [X0] :
( c4_0
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_2(X0,a6)
| ~ ssSkC0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( c5_0
| ! [U] :
( c3_2(U,a2)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f165,plain,
! [X0] :
( c5_0
| c3_2(X0,a2)
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( ssSkC4
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c5_1(U)
| ~ c4_2(U,a17) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f167,plain,
! [X0] :
( ssSkC4
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,a17) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( c5_0
| ~ c3_0
| ~ ndr1_0
| ! [U] :
( ~ c1_1(U)
| ~ c5_2(U,a2)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f169,plain,
! [X0] :
( c5_0
| ~ c3_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c5_2(X0,a2)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0] :
( c4_2(a26,X0)
| c2_2(a26,X0)
| ~ ndr1_1(a26)
| ~ c1_2(a26,X0)
| ~ ssSkC6
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f171,plain,
( ndr1_1(a19)
| ~ c4_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f172,plain,
! [X0] :
( ndr1_1(a19)
| ~ c4_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( c4_0
| ! [U] :
( c3_2(a13,U)
| c1_2(a13,U)
| ~ ndr1_1(a13)
| ~ c5_2(a13,U)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f174,plain,
! [X0] :
( c4_0
| c3_2(a13,X0)
| c1_2(a13,X0)
| ~ ndr1_1(a13)
| ~ c5_2(a13,X0)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ssSkC6
| ! [U] :
( c4_2(a24,U)
| ~ ndr1_1(a24)
| ~ c2_2(a24,U)
| ~ c1_2(a24,U) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f176,plain,
! [X0] :
( ssSkC6
| c4_2(a24,X0)
| ~ ndr1_1(a24)
| ~ c2_2(a24,X0)
| ~ c1_2(a24,X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( ssSkC6
| ! [U] :
( c1_2(a24,U)
| ~ ndr1_1(a24)
| ~ c3_2(a24,U)
| ~ c4_2(a24,U) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f178,plain,
! [X0] :
( ssSkC6
| c1_2(a24,X0)
| ~ ndr1_1(a24)
| ~ c3_2(a24,X0)
| ~ c4_2(a24,X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( ssSkC5
| ! [U] :
( c2_2(U,a23)
| ! [V] :
( c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkP2(U) ) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f180,plain,
! [X0,X1] :
( ssSkC5
| c2_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( ssSkC5
| ! [U] :
( c4_2(U,a23)
| ! [V] :
( c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkP2(U) ) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f182,plain,
! [X0,X1] :
( ssSkC5
| c4_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( ssSkC0
| ! [U] :
( c3_2(a4,U)
| ~ ndr1_1(a4)
| ~ c5_2(a4,U)
| ~ c4_2(a4,U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f184,plain,
! [X0] :
( ssSkC0
| c3_2(a4,X0)
| ~ ndr1_1(a4)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( ssSkC0
| ! [U] :
( c4_2(a4,U)
| ~ ndr1_1(a4)
| ~ c5_2(a4,U)
| ~ c3_2(a4,U) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f186,plain,
! [X0] :
( ssSkC0
| c4_2(a4,X0)
| ~ ndr1_1(a4)
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( c3_2(a19,a20)
| ~ c4_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f188,plain,
! [X0] :
( c3_2(a19,a20)
| ~ c4_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( ~ c4_0
| ~ c2_1(a19)
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f190,plain,
! [X0] :
( ~ c4_0
| ~ c2_1(a19)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( ssSkC5
| ! [U,V] :
( c4_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a23)
| ~ ndr1_1(U)
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f192,plain,
! [X0,X1] :
( ssSkC5
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ c5_2(X0,a23)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( ~ c4_0
| ~ c4_2(a19,a20)
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f194,plain,
! [X0] :
( ~ c4_0
| ~ c4_2(a19,a20)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [U] :
( c1_1(U)
| c2_2(U,a18)
| ! [V] :
( c1_2(U,V)
| c3_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC4 ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f196,plain,
! [X0,X1] :
( c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
! [U] :
( c1_1(U)
| c3_2(U,a18)
| ! [V] :
( c1_2(U,V)
| c3_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ ssSkC4 ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f198,plain,
! [X0,X1] :
( c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
! [V] :
( c5_1(V)
| c2_1(V)
| ~ ndr1_1(a16)
| ! [U] :
( ~ c3_2(a16,U)
| ~ c1_2(a16,U)
| ~ c4_2(a16,U)
| ~ ndr1_0
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f200,plain,
! [X0,X1] :
( c5_1(X1)
| c2_1(X1)
| ~ ndr1_1(a16)
| ~ c3_2(a16,X0)
| ~ c1_2(a16,X0)
| ~ c4_2(a16,X0)
| ~ ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( c4_0
| ! [U] :
( c5_2(U,a21)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f202,plain,
! [X0,X1] :
( c4_0
| c5_2(X0,a21)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( ~ c4_0
| ~ ndr1_1(a19)
| ! [V] :
( ~ c4_2(a19,V)
| ~ c3_2(a19,V)
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_1(U)
| ~ c4_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f204,plain,
! [X0,X1] :
( ~ c4_0
| ~ ndr1_1(a19)
| ~ c4_2(a19,X1)
| ~ c3_2(a19,X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( c4_0
| ~ c3_0
| ~ ndr1_0
| ! [U] :
( ~ c5_1(U)
| ~ c1_2(U,a21)
| ~ ndr1_1(U)
| ! [V] :
( ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f206,plain,
! [X0,X1] :
( c4_0
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( c4_0
| ~ c3_0
| ~ ndr1_0
| ! [U] :
( ~ c5_1(U)
| ~ c4_2(U,a21)
| ~ ndr1_1(U)
| ! [V] :
( ~ c1_2(U,V)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f208,plain,
! [X0,X1] :
( c4_0
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( c1_0
| ~ c5_1(a3)
| ~ ndr1_0
| ! [U] :
( ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f210,plain,
! [X0,X1] :
( c1_0
| ~ c5_1(a3)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( c1_0
| ~ c3_1(a3)
| ~ ndr1_0
| ! [U] :
( ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f212,plain,
! [X0,X1] :
( c1_0
| ~ c3_1(a3)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( c1_0
| ! [W] :
( c3_2(a3,W)
| ~ ndr1_1(a3)
| ~ c1_2(a3,W)
| ~ c5_2(a3,W)
| ~ ndr1_0
| ! [U] :
( ~ c5_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c4_2(U,V)
| ~ c3_2(U,V)
| ~ c5_2(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f214,plain,
! [X0,X1,X2] :
( c1_0
| c3_2(a3,X2)
| ~ ndr1_1(a3)
| ~ c1_2(a3,X2)
| ~ c5_2(a3,X2)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ1_spl
<=> ssSkC6 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ1_spl
| ssSkC6 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f215,f218]) ).
fof(f222,definition,
( sQ2_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ2_spl
| ssSkC3 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f91,f215,f222]) ).
fof(f226,definition,
( sQ3_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f92,f215,f226]) ).
fof(f230,definition,
( sQ4_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f93,f215,f230]) ).
fof(f234,definition,
( sQ5_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f215,f234]) ).
fof(f238,definition,
( sQ6_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f95,f238,f218,f215]) ).
fof(f242,definition,
( sQ7_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ7_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f96,f226,f215,f242]) ).
fof(f246,definition,
( sQ8_spl
<=> ndr1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ8_spl
| ndr1_1(a24) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ8_spl
| ~ ndr1_1(a24) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f97,f246,f218]) ).
fof(f250,definition,
( sQ9_spl
<=> ndr1_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f99,f250,f222]) ).
fof(f254,definition,
( sQ10_spl
<=> c5_1(a14) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ10_spl
| c5_1(a14) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f100,f254,f222]) ).
fof(f258,definition,
( sQ11_spl
<=> c4_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ11_spl
| c4_1(a12) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f101,f258,f226]) ).
fof(f262,definition,
( sQ12_spl
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ12_spl
| c3_1(a12) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f102,f262,f226]) ).
fof(f266,definition,
( sQ13_spl
<=> ndr1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ13_spl
| ndr1_1(a8) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f266,f230]) ).
fof(f270,definition,
( sQ14_spl
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ14_spl
| c1_1(a8) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f104,f270,f230]) ).
fof(f274,plain,
( sQ0_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f107,f230,f242,f215]) ).
fof(f275,definition,
( sQ15_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ15_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ15_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ16_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ16_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ16_spl
| sQ0_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f108,f275,f215,f278]) ).
fof(f282,definition,
( sQ17_spl
<=> c1_2(a24,a25) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ17_spl
| c1_2(a24,a25) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f109,f282,f218]) ).
fof(f286,definition,
( sQ18_spl
<=> c3_2(a24,a25) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ18_spl
| c3_2(a24,a25) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ1_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f110,f286,f218]) ).
fof(f290,definition,
( sQ19_spl
<=> c1_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ19_spl
| c1_2(a14,a15) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ2_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f114,f290,f222]) ).
fof(f294,definition,
( sQ20_spl
<=> c5_1(a12) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ20_spl
| ~ c5_1(a12) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ3_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f115,f294,f226]) ).
fof(f298,definition,
( sQ21_spl
<=> c3_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ21_spl
| c3_2(a8,a9) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ4_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f116,f298,f230]) ).
fof(f302,definition,
( sQ22_spl
<=> c1_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ22_spl
| c1_2(a8,a9) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ4_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f117,f302,f230]) ).
fof(f306,definition,
( sQ23_spl
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ23_spl
| ~ c3_1(a8) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f118,f306,f230]) ).
fof(f310,definition,
( sQ24_spl
<=> c5_1(a26) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ24_spl
| ~ c5_1(a26) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( ~ sQ24_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f121,f238,f218,f310]) ).
fof(f314,definition,
( sQ25_spl
<=> c4_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( sQ25_spl
| ~ c4_1(a13) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ7_spl
| ~ sQ25_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f122,f226,f314,f242]) ).
fof(f318,definition,
( sQ26_spl
<=> ndr1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ26_spl
| ndr1_1(a10) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ26_spl
| ~ ndr1_1(a10) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f123,f230,f242,f318]) ).
fof(f322,definition,
( sQ27_spl
<=> c5_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ27_spl
| c5_1(a10) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ27_spl
| ~ c5_1(a10) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ27_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f124,f230,f242,f322]) ).
fof(f326,definition,
( sQ28_spl
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ28_spl
| c1_1(a10) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ28_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f125,f230,f242,f326]) ).
fof(f330,definition,
( sQ29_spl
<=> c4_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ29_spl
| c4_1(a7) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ16_spl
| sQ29_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f126,f275,f330,f278]) ).
fof(f334,definition,
( sQ30_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( sQ30_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ30_spl
| ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f127,f242,f275,f334]) ).
fof(f338,definition,
( sQ31_spl
<=> c3_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ31_spl
| ~ c3_2(a14,a15) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ2_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f128,f338,f222]) ).
fof(f342,definition,
( sQ32_spl
<=> c2_2(a14,a15) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ32_spl
| ~ c2_2(a14,a15) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ2_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f129,f342,f222]) ).
fof(f346,definition,
( sQ33_spl
<=> c2_2(a8,a9) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ33_spl
| ~ c2_2(a8,a9) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ4_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f130,f346,f230]) ).
fof(f350,definition,
( sQ34_spl
<=> c5_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ34_spl
| c5_2(a10,a11) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ34_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f135,f230,f242,f350]) ).
fof(f354,definition,
( sQ35_spl
<=> c2_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ35_spl
| c2_2(a10,a11) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ35_spl
| ~ c2_2(a10,a11) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ35_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f136,f230,f242,f354]) ).
fof(f358,definition,
( sQ36_spl
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ36_spl
| ~ c1_1(a7) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( sQ16_spl
| ~ sQ15_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f137,f358,f275,f278]) ).
fof(f362,definition,
( sQ37_spl
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ37_spl
| ~ c3_1(a7) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ16_spl
| ~ sQ15_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f138,f362,f275,f278]) ).
fof(f366,definition,
( sQ38_spl
<=> c1_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( sQ38_spl
| ~ c1_2(a10,a11) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( ~ sQ7_spl
| ~ sQ38_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f139,f230,f366,f242]) ).
fof(f370,definition,
( sQ39_spl
<=> c3_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ39_spl
| ~ c3_1(a16) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
! [X0] :
( sQ40_spl
<=> ( c5_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0] :
( ~ sQ40_spl
| c5_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( sQ40_spl
| ~ sQ39_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f140,f222,f215,f370,f373]) ).
fof(f377,definition,
( sQ41_spl
<=> c5_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( sQ41_spl
| ~ c5_1(a16) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( sQ40_spl
| ~ sQ41_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f141,f222,f215,f377,f373]) ).
fof(f381,definition,
! [X0] :
( sQ42_spl
<=> ( ndr1_1(X0)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f382,plain,
! [X0] :
( ~ sQ42_spl
| ndr1_1(X0)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f143,f381,f234,f215,f242]) ).
fof(f385,definition,
( sQ43_spl
<=> ndr1_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( sQ43_spl
| ~ ndr1_1(a13) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
! [X0] :
( sQ44_spl
<=> ( c3_2(a13,X0)
| c4_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f389,plain,
! [X0] :
( ~ sQ44_spl
| c3_2(a13,X0)
| c4_2(a13,X0) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( sQ7_spl
| sQ44_spl
| ~ sQ43_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f145,f226,f385,f388,f242]) ).
fof(f392,definition,
! [X0] :
( sQ45_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f393,plain,
! [X0] :
( ~ sQ45_spl
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ46_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ46_spl
| ssSkC4 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ46_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f147,f392,f215,f395]) ).
fof(f399,definition,
! [X0] :
( sQ47_spl
<=> ( c3_2(X0,a6)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f400,plain,
! [X0] :
( ~ sQ47_spl
| c3_2(X0,a6)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f149,f399,f234,f215,f242]) ).
fof(f403,definition,
! [X0] :
( sQ48_spl
<=> ( c2_2(X0,a6)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f404,plain,
! [X0] :
( ~ sQ48_spl
| c2_2(X0,a6)
| ~ c3_1(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f151,f403,f234,f215,f242]) ).
fof(f407,definition,
! [X0] :
( sQ49_spl
<=> ( ndr1_1(X0)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f408,plain,
! [X0] :
( ~ sQ49_spl
| ndr1_1(X0)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ50_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ50_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( sQ30_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f153,f407,f215,f410,f334]) ).
fof(f414,definition,
! [X0] :
( sQ51_spl
<=> ( c5_2(a14,X0)
| ~ c3_2(a14,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f415,plain,
! [X0] :
( ~ sQ51_spl
| c5_2(a14,X0)
| ~ c3_2(a14,X0) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ2_spl
| ~ sQ9_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f155,f414,f250,f222]) ).
fof(f418,definition,
! [X0] :
( sQ52_spl
<=> ( c3_2(a4,X0)
| ~ c2_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f419,plain,
! [X0] :
( ~ sQ52_spl
| c3_2(a4,X0)
| ~ c2_2(a4,X0) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ53_spl
<=> ndr1_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ53_spl
| ndr1_1(a4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ53_spl
| ~ ndr1_1(a4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sQ5_spl
| ~ sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f157,f418,f421,f234]) ).
fof(f425,definition,
! [X0] :
( sQ54_spl
<=> ( c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0] :
( ~ sQ54_spl
| c5_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ46_spl
| ~ sQ0_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f159,f425,f215,f395]) ).
fof(f429,definition,
! [X0] :
( sQ55_spl
<=> ( c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f430,plain,
! [X0] :
( ~ sQ55_spl
| c1_2(X0,a17)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ46_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f161,f429,f215,f395]) ).
fof(f433,definition,
! [X0] :
( sQ56_spl
<=> ( ~ c3_1(X0)
| ~ c5_2(X0,a6)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f434,plain,
! [X0] :
( ~ sQ56_spl
| ~ c3_1(X0)
| ~ c5_2(X0,a6)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f163,f433,f234,f215,f242]) ).
fof(f437,definition,
! [X0] :
( sQ57_spl
<=> ( c3_2(X0,a2)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f438,plain,
! [X0] :
( ~ sQ57_spl
| c3_2(X0,a2)
| ~ c1_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ30_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f165,f437,f215,f410,f334]) ).
fof(f441,definition,
! [X0] :
( sQ58_spl
<=> ( ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,a17) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f442,plain,
! [X0] :
( ~ sQ58_spl
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,a17) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( sQ46_spl
| ~ sQ0_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f167,f441,f215,f395]) ).
fof(f445,definition,
! [X0] :
( sQ59_spl
<=> ( ~ c1_1(X0)
| ~ c5_2(X0,a2)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f446,plain,
! [X0] :
( ~ sQ59_spl
| ~ c1_1(X0)
| ~ c5_2(X0,a2)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( sQ30_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f169,f445,f215,f410,f334]) ).
fof(f449,definition,
! [X0] :
( sQ60_spl
<=> ( c4_2(a26,X0)
| c2_2(a26,X0)
| ~ c1_2(a26,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f450,plain,
! [X0] :
( ~ sQ60_spl
| c4_2(a26,X0)
| c2_2(a26,X0)
| ~ c1_2(a26,X0) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ61_spl
<=> ndr1_1(a26) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( sQ61_spl
| ~ ndr1_1(a26) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ sQ61_spl
| sQ60_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f170,f238,f218,f449,f452]) ).
fof(f456,definition,
! [X0] :
( sQ62_spl
<=> ( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f457,plain,
! [X0] :
( ~ sQ62_spl
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ63_spl
<=> ndr1_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ63_spl
| ndr1_1(a19) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( sQ63_spl
| ~ ndr1_1(a19) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ63_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f172,f456,f215,f242,f459]) ).
fof(f463,definition,
! [X0] :
( sQ64_spl
<=> ( c3_2(a13,X0)
| c1_2(a13,X0)
| ~ c5_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f464,plain,
! [X0] :
( ~ sQ64_spl
| c3_2(a13,X0)
| c1_2(a13,X0)
| ~ c5_2(a13,X0) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ7_spl
| ~ sQ43_spl
| sQ64_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f174,f226,f463,f385,f242]) ).
fof(f467,definition,
! [X0] :
( sQ65_spl
<=> ( c4_2(a24,X0)
| ~ c2_2(a24,X0)
| ~ c1_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f468,plain,
! [X0] :
( ~ sQ65_spl
| c4_2(a24,X0)
| ~ c2_2(a24,X0)
| ~ c1_2(a24,X0) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ1_spl
| ~ sQ8_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f176,f467,f246,f218]) ).
fof(f471,definition,
! [X0] :
( sQ66_spl
<=> ( c1_2(a24,X0)
| ~ c3_2(a24,X0)
| ~ c4_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f472,plain,
! [X0] :
( ~ sQ66_spl
| c1_2(a24,X0)
| ~ c3_2(a24,X0)
| ~ c4_2(a24,X0) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ1_spl
| ~ sQ8_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f178,f471,f246,f218]) ).
fof(f475,definition,
! [X0,X1] :
( sQ67_spl
<=> ( c2_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f476,plain,
! [X0,X1] :
( ~ sQ67_spl
| c2_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f180,f475,f215,f238]) ).
fof(f479,definition,
! [X0,X1] :
( sQ68_spl
<=> ( c4_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f480,plain,
! [X0,X1] :
( ~ sQ68_spl
| c4_2(X0,a23)
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f182,f479,f215,f238]) ).
fof(f483,definition,
! [X0] :
( sQ69_spl
<=> ( c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f484,plain,
! [X0] :
( ~ sQ69_spl
| c3_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c4_2(a4,X0) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ5_spl
| ~ sQ53_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f184,f483,f421,f234]) ).
fof(f487,definition,
! [X0] :
( sQ70_spl
<=> ( c4_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f488,plain,
! [X0] :
( ~ sQ70_spl
| c4_2(a4,X0)
| ~ c5_2(a4,X0)
| ~ c3_2(a4,X0) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( sQ5_spl
| ~ sQ53_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f186,f487,f421,f234]) ).
fof(f491,definition,
( sQ71_spl
<=> c3_2(a19,a20) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ71_spl
| c3_2(a19,a20) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( sQ71_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f188,f456,f215,f242,f491]) ).
fof(f495,definition,
( sQ72_spl
<=> c2_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ72_spl
| ~ c2_1(a19) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f190,f456,f215,f495,f242]) ).
fof(f499,definition,
! [X0,X1] :
( sQ73_spl
<=> ( c4_2(X0,X1)
| c5_2(X0,X1)
| ~ c5_2(X0,a23)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f500,plain,
! [X0,X1] :
( ~ sQ73_spl
| c4_2(X0,X1)
| c5_2(X0,X1)
| ~ c5_2(X0,a23)
| ~ ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f192,f499,f215,f238]) ).
fof(f503,definition,
( sQ74_spl
<=> c4_2(a19,a20) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ74_spl
| ~ c4_2(a19,a20) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ7_spl
| ~ sQ74_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f194,f456,f215,f503,f242]) ).
fof(f507,definition,
! [X0,X1] :
( sQ75_spl
<=> ( c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f508,plain,
! [X0,X1] :
( ~ sQ75_spl
| c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| sQ75_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f196,f395,f507,f215,f334]) ).
fof(f511,definition,
! [X0,X1] :
( sQ76_spl
<=> ( c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f512,plain,
! [X0,X1] :
( ~ sQ76_spl
| c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| sQ76_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f198,f395,f511,f215,f334]) ).
fof(f515,definition,
! [X0] :
( sQ77_spl
<=> ( ~ c3_2(a16,X0)
| ~ c1_2(a16,X0)
| ~ c4_2(a16,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ77_spl
| ~ c3_2(a16,X0)
| ~ c1_2(a16,X0)
| ~ c4_2(a16,X0) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ78_spl
<=> ndr1_1(a16) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ78_spl
| ndr1_1(a16) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ78_spl
| ~ ndr1_1(a16) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ40_spl
| ~ sQ78_spl
| sQ77_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f200,f222,f215,f515,f518,f373]) ).
fof(f522,definition,
! [X0,X1] :
( sQ79_spl
<=> ( c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f523,plain,
! [X0,X1] :
( ~ sQ79_spl
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( sQ7_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f202,f522,f215,f410,f242]) ).
fof(f526,definition,
! [X1] :
( sQ80_spl
<=> ( ~ c4_2(a19,X1)
| ~ c3_2(a19,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f527,plain,
! [X0] :
( ~ sQ80_spl
| ~ c4_2(a19,X0)
| ~ c3_2(a19,X0) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ7_spl
| ~ sQ63_spl
| sQ80_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f204,f456,f215,f526,f459,f242]) ).
fof(f530,definition,
! [X0,X1] :
( sQ81_spl
<=> ( ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sQ81_spl
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ7_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f206,f530,f215,f410,f242]) ).
fof(f534,definition,
! [X0,X1] :
( sQ82_spl
<=> ( ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f535,plain,
! [X0,X1] :
( ~ sQ82_spl
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( sQ7_spl
| ~ sQ50_spl
| ~ sQ0_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f208,f534,f215,f410,f242]) ).
fof(f538,definition,
! [X0,X1] :
( sQ83_spl
<=> ( ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f539,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ84_spl
<=> c5_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( sQ84_spl
| ~ c5_1(a3) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ15_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f210,f538,f215,f541,f275]) ).
fof(f545,definition,
( sQ85_spl
<=> c3_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( sQ85_spl
| ~ c3_1(a3) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( sQ15_spl
| ~ sQ85_spl
| ~ sQ0_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f212,f538,f215,f545,f275]) ).
fof(f549,definition,
! [X2] :
( sQ86_spl
<=> ( c3_2(a3,X2)
| ~ c1_2(a3,X2)
| ~ c5_2(a3,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f550,plain,
! [X0] :
( ~ sQ86_spl
| c3_2(a3,X0)
| ~ c1_2(a3,X0)
| ~ c5_2(a3,X0) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ87_spl
<=> ndr1_1(a3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ87_spl
| ndr1_1(a3) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ87_spl
| ~ ndr1_1(a3) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( sQ15_spl
| ~ sQ87_spl
| sQ86_spl
| ~ sQ0_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f214,f538,f215,f549,f552,f275]) ).
fof(f556,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ40_spl
| ~ c3_1(X0)
| ~ c4_1(X0)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f374,f457]) ).
fof(f557,plain,
! [X0] :
( ~ sQ83_spl
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,a22)
| ~ c3_2(X0,a22)
| ssSkP2(X0) ),
inference(resolution,[status(thm)],[f112,f539]) ).
fof(f558,plain,
! [X0] :
( ~ sQ83_spl
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a22)
| ssSkP2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f111]) ).
fof(f562,plain,
( ~ sQ64_spl
| ssSkP0(a13)
| c3_2(a13,a1)
| c1_2(a13,a1) ),
inference(resolution,[status(thm)],[f464,f120]) ).
fof(f563,plain,
( ~ sQ64_spl
| ssSkP2(a13)
| c3_2(a13,a22)
| c1_2(a13,a22) ),
inference(resolution,[status(thm)],[f464,f112]) ).
fof(f564,definition,
( sQ88_spl
<=> c1_2(a13,a1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ88_spl
| c1_2(a13,a1) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ89_spl
<=> c3_2(a13,a1) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ89_spl
| c3_2(a13,a1) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ90_spl
<=> ssSkP0(a13) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ90_spl
| ssSkP0(a13) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ64_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f562,f564,f567,f570,f463]) ).
fof(f574,definition,
( sQ91_spl
<=> c1_2(a13,a22) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ91_spl
| c1_2(a13,a22) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ92_spl
<=> c3_2(a13,a22) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ92_spl
| c3_2(a13,a22) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ93_spl
<=> ssSkP2(a13) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ93_spl
| ssSkP2(a13) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ sQ64_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f563,f574,f577,f580,f463]) ).
fof(f584,plain,
! [X0] :
( ~ sQ76_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,a5)
| c3_2(X0,a5)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f512,f119]) ).
fof(f585,plain,
! [X0] :
( ~ sQ76_spl
| ssSkP2(X0)
| c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f512,f111]) ).
fof(f586,plain,
! [X0] :
( ~ sQ76_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,a5)
| c3_2(X0,a5) ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f105]) ).
fof(f587,plain,
! [X0] :
( ~ sQ76_spl
| ssSkP2(X0)
| c1_1(X0)
| c3_2(X0,a18)
| c1_2(X0,a22)
| c3_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f98]) ).
fof(f588,plain,
! [X0] :
( ~ sQ76_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a18)
| c3_2(X0,a5) ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f132]) ).
fof(f589,plain,
! [X0] :
( ~ sQ75_spl
| ssSkP1(X0)
| c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,a5)
| c3_2(X0,a5)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f508,f119]) ).
fof(f590,plain,
! [X0] :
( ~ sQ75_spl
| ssSkP2(X0)
| c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f508,f111]) ).
fof(f591,plain,
! [X0] :
( ~ sQ75_spl
| ssSkP1(X0)
| c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,a5)
| c3_2(X0,a5) ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f105]) ).
fof(f592,plain,
! [X0] :
( ~ sQ75_spl
| ssSkP2(X0)
| c1_1(X0)
| c2_2(X0,a18)
| c1_2(X0,a22)
| c3_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f98]) ).
fof(f593,plain,
! [X0] :
( ~ sQ75_spl
| ssSkP1(X0)
| c1_1(X0)
| c2_2(X0,a18)
| c3_2(X0,a5) ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f132]) ).
fof(f594,plain,
! [X0,X1] :
( ~ sQ83_spl
| ~ sQ42_spl
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f539,f595]) ).
fof(f595,plain,
! [X0] :
( ~ sQ42_spl
| ndr1_1(X0)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f105]) ).
fof(f596,plain,
! [X0] :
( ~ sQ47_spl
| ndr1_1(X0)
| c3_2(X0,a6)
| ~ c3_1(X0) ),
inference(resolution,[status(thm)],[f400,f105]) ).
fof(f597,plain,
! [X0] :
( ~ sQ48_spl
| ndr1_1(X0)
| c2_2(X0,a6)
| ~ c3_1(X0) ),
inference(resolution,[status(thm)],[f404,f105]) ).
fof(f598,plain,
( ~ sQ42_spl
| ~ sQ12_spl
| ndr1_1(a12) ),
inference(resolution,[status(thm)],[f263,f595]) ).
fof(f599,plain,
( ~ sQ86_spl
| ssSkP0(a3)
| c3_2(a3,a1)
| ~ c1_2(a3,a1) ),
inference(resolution,[status(thm)],[f550,f120]) ).
fof(f600,plain,
( ~ sQ86_spl
| ssSkP2(a3)
| c3_2(a3,a22)
| ~ c1_2(a3,a22) ),
inference(resolution,[status(thm)],[f550,f112]) ).
fof(f601,definition,
( sQ94_spl
<=> c1_2(a3,a1) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( sQ94_spl
| ~ c1_2(a3,a1) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ95_spl
<=> c3_2(a3,a1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ95_spl
| c3_2(a3,a1) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ96_spl
<=> ssSkP0(a3) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ96_spl
| ssSkP0(a3) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( ~ sQ86_spl
| sQ96_spl
| sQ95_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f599,f601,f604,f607,f549]) ).
fof(f611,definition,
( sQ97_spl
<=> c1_2(a3,a22) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( sQ97_spl
| ~ c1_2(a3,a22) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ98_spl
<=> c3_2(a3,a22) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ98_spl
| c3_2(a3,a22) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ99_spl
<=> ssSkP2(a3) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ99_spl
| ssSkP2(a3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( sQ99_spl
| ~ ssSkP2(a3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( ~ sQ86_spl
| sQ99_spl
| sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f600,f611,f614,f617,f549]) ).
fof(f621,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ82_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f535,f592]) ).
fof(f622,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ82_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f535,f593]) ).
fof(f623,plain,
! [X0] :
( ~ sQ82_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22)
| ~ c4_2(X0,a22) ),
inference(resolution,[status(thm)],[f535,f113]) ).
fof(f624,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ82_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f98]) ).
fof(f625,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ82_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f105]) ).
fof(f626,plain,
! [X0] :
( ~ sQ82_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f111]) ).
fof(f627,plain,
( ~ sQ40_spl
| sQ72_spl
| c5_1(a19) ),
inference(resolution,[status(thm)],[f497,f374]) ).
fof(f628,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ93_spl
| c4_2(a13,a23)
| c4_2(a13,X0)
| c5_2(a13,X0)
| ~ ndr1_1(a13) ),
inference(resolution,[status(thm)],[f581,f480]) ).
fof(f629,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ93_spl
| c2_2(a13,a23)
| c4_2(a13,X0)
| c5_2(a13,X0)
| ~ ndr1_1(a13) ),
inference(resolution,[status(thm)],[f581,f476]) ).
fof(f630,definition,
! [X0] :
( sQ100_spl
<=> ( c4_2(a13,X0)
| c5_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f631,plain,
! [X0] :
( ~ sQ100_spl
| c4_2(a13,X0)
| c5_2(a13,X0) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ101_spl
<=> c4_2(a13,a23) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ101_spl
| c4_2(a13,a23) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| sQ101_spl
| sQ100_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f628,f385,f630,f633,f580,f479]) ).
fof(f637,definition,
( sQ102_spl
<=> c2_2(a13,a23) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ102_spl
| c2_2(a13,a23) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( ~ sQ67_spl
| ~ sQ93_spl
| sQ102_spl
| sQ100_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f629,f385,f630,f637,f580,f475]) ).
fof(f641,plain,
( ~ sQ56_spl
| ~ sQ100_spl
| ~ c3_1(a13)
| ~ ssSkP1(a13)
| c4_2(a13,a6) ),
inference(resolution,[status(thm)],[f631,f434]) ).
fof(f643,plain,
( ~ sQ100_spl
| ssSkP1(a13)
| c4_2(a13,a5) ),
inference(resolution,[status(thm)],[f631,f131]) ).
fof(f644,definition,
( sQ103_spl
<=> c4_2(a13,a6) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ103_spl
| c4_2(a13,a6) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ104_spl
<=> ssSkP1(a13) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f650,definition,
( sQ105_spl
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( sQ105_spl
| ~ c3_1(a13) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( ~ sQ56_spl
| ~ sQ100_spl
| ~ sQ105_spl
| ~ sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f641,f644,f647,f650,f630,f433]) ).
fof(f655,definition,
( sQ106_spl
<=> c4_2(a13,a5) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ106_spl
| c4_2(a13,a5) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ100_spl
| sQ104_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f643,f655,f647,f630]) ).
fof(f659,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ99_spl
| c4_2(a3,a23)
| c4_2(a3,X0)
| c5_2(a3,X0)
| ~ ndr1_1(a3) ),
inference(resolution,[status(thm)],[f618,f480]) ).
fof(f660,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ99_spl
| c2_2(a3,a23)
| c4_2(a3,X0)
| c5_2(a3,X0)
| ~ ndr1_1(a3) ),
inference(resolution,[status(thm)],[f618,f476]) ).
fof(f661,definition,
! [X0] :
( sQ107_spl
<=> ( c4_2(a3,X0)
| c5_2(a3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f662,plain,
! [X0] :
( ~ sQ107_spl
| c4_2(a3,X0)
| c5_2(a3,X0) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ108_spl
<=> c4_2(a3,a23) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ108_spl
| c4_2(a3,a23) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( ~ sQ68_spl
| ~ sQ99_spl
| sQ108_spl
| sQ107_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f659,f552,f661,f664,f617,f479]) ).
fof(f668,definition,
( sQ109_spl
<=> c2_2(a3,a23) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ109_spl
| c2_2(a3,a23) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( ~ sQ67_spl
| ~ sQ99_spl
| sQ109_spl
| sQ107_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f660,f552,f661,f668,f617,f475]) ).
fof(f672,plain,
( ~ sQ56_spl
| ~ sQ107_spl
| ~ c3_1(a3)
| ~ ssSkP1(a3)
| c4_2(a3,a6) ),
inference(resolution,[status(thm)],[f662,f434]) ).
fof(f674,plain,
( ~ sQ107_spl
| ssSkP1(a3)
| c4_2(a3,a5) ),
inference(resolution,[status(thm)],[f662,f131]) ).
fof(f675,definition,
( sQ110_spl
<=> c4_2(a3,a6) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ110_spl
| c4_2(a3,a6) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,definition,
( sQ111_spl
<=> ssSkP1(a3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ56_spl
| ~ sQ107_spl
| ~ sQ85_spl
| ~ sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f672,f675,f678,f545,f661,f433]) ).
fof(f683,definition,
( sQ112_spl
<=> c4_2(a3,a5) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ112_spl
| c4_2(a3,a5) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ107_spl
| sQ111_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f674,f683,f678,f661]) ).
fof(f687,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ81_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f531,f592]) ).
fof(f688,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ81_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f531,f593]) ).
fof(f689,plain,
! [X0] :
( ~ sQ81_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22)
| ~ c4_2(X0,a22) ),
inference(resolution,[status(thm)],[f531,f113]) ).
fof(f690,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ81_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f98]) ).
fof(f691,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ81_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f105]) ).
fof(f692,plain,
! [X0] :
( ~ sQ81_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c1_2(X0,a21)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f111]) ).
fof(f693,plain,
( ~ sQ80_spl
| ssSkP1(a19)
| ~ c3_2(a19,a5) ),
inference(resolution,[status(thm)],[f527,f119]) ).
fof(f694,plain,
( ~ sQ80_spl
| ssSkP2(a19)
| ~ c3_2(a19,a22) ),
inference(resolution,[status(thm)],[f527,f111]) ).
fof(f695,definition,
( sQ113_spl
<=> c3_2(a19,a5) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( sQ113_spl
| ~ c3_2(a19,a5) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,definition,
( sQ114_spl
<=> ssSkP1(a19) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ114_spl
| ssSkP1(a19) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( sQ114_spl
| ~ ssSkP1(a19) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( ~ sQ80_spl
| sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f693,f695,f698,f526]) ).
fof(f702,definition,
( sQ115_spl
<=> c3_2(a19,a22) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( sQ115_spl
| ~ c3_2(a19,a22) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ116_spl
<=> ssSkP2(a19) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ116_spl
| ssSkP2(a19) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f707,plain,
( sQ116_spl
| ~ ssSkP2(a19) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ sQ80_spl
| sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f694,f702,f705,f526]) ).
fof(f709,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ79_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f523,f592]) ).
fof(f710,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ79_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(resolution,[status(thm)],[f523,f593]) ).
fof(f711,plain,
! [X0] :
( ~ sQ79_spl
| ssSkP2(X0)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22)
| ~ c4_2(X0,a22) ),
inference(resolution,[status(thm)],[f523,f113]) ).
fof(f712,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ79_spl
| ssSkP2(X0)
| c1_1(X0)
| c1_2(X0,a22)
| c3_2(X0,a22)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f98]) ).
fof(f713,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ79_spl
| ssSkP1(X0)
| c1_1(X0)
| c3_2(X0,a5)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f105]) ).
fof(f714,plain,
! [X0] :
( ~ sQ79_spl
| ssSkP2(X0)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f111]) ).
fof(f715,plain,
! [X0] :
( ~ sQ79_spl
| ssSkP2(X0)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ c1_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f98]) ).
fof(f716,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ79_spl
| ssSkP2(X0)
| c1_1(X0)
| c3_2(X0,a22)
| c5_2(X0,a21)
| ~ c5_1(X0)
| ~ c1_2(X0,a18)
| ~ c4_2(X0,a18) ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f715]) ).
fof(f717,plain,
( ~ sQ77_spl
| ssSkP1(a16)
| ~ c3_2(a16,a5)
| ~ c1_2(a16,a5) ),
inference(resolution,[status(thm)],[f516,f119]) ).
fof(f718,plain,
( ~ sQ77_spl
| ssSkP2(a16)
| ~ c3_2(a16,a22)
| ~ c1_2(a16,a22) ),
inference(resolution,[status(thm)],[f516,f111]) ).
fof(f719,definition,
( sQ117_spl
<=> c1_2(a16,a5) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( sQ117_spl
| ~ c1_2(a16,a5) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ118_spl
<=> c3_2(a16,a5) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( sQ118_spl
| ~ c3_2(a16,a5) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ119_spl
<=> ssSkP1(a16) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ119_spl
| ssSkP1(a16) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( sQ119_spl
| ~ ssSkP1(a16) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( ~ sQ77_spl
| sQ119_spl
| ~ sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f717,f719,f722,f725,f515]) ).
fof(f729,definition,
( sQ120_spl
<=> c1_2(a16,a22) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( sQ120_spl
| ~ c1_2(a16,a22) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ121_spl
<=> c3_2(a16,a22) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( sQ121_spl
| ~ c3_2(a16,a22) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ122_spl
<=> ssSkP2(a16) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ122_spl
| ssSkP2(a16) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f737,plain,
( sQ122_spl
| ~ ssSkP2(a16) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ77_spl
| sQ122_spl
| ~ sQ121_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f718,f729,f732,f735,f515]) ).
fof(f739,plain,
( ~ sQ70_spl
| ssSkP0(a4)
| c4_2(a4,a1)
| ~ c3_2(a4,a1) ),
inference(resolution,[status(thm)],[f488,f120]) ).
fof(f740,plain,
( ~ sQ70_spl
| ssSkP2(a4)
| c4_2(a4,a22)
| ~ c3_2(a4,a22) ),
inference(resolution,[status(thm)],[f488,f112]) ).
fof(f741,definition,
( sQ123_spl
<=> c3_2(a4,a1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ123_spl
| ~ c3_2(a4,a1) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ124_spl
<=> c4_2(a4,a1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ124_spl
| c4_2(a4,a1) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ125_spl
<=> ssSkP0(a4) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ125_spl
| ssSkP0(a4) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( ~ sQ70_spl
| sQ125_spl
| sQ124_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f739,f741,f744,f747,f487]) ).
fof(f751,definition,
( sQ126_spl
<=> c3_2(a4,a22) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ126_spl
| c3_2(a4,a22) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( sQ126_spl
| ~ c3_2(a4,a22) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ127_spl
<=> c4_2(a4,a22) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ127_spl
| c4_2(a4,a22) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ128_spl
<=> ssSkP2(a4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ128_spl
| ssSkP2(a4) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( ~ sQ70_spl
| sQ128_spl
| sQ127_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f740,f751,f754,f757,f487]) ).
fof(f761,plain,
( ~ sQ69_spl
| ssSkP0(a4)
| c3_2(a4,a1)
| ~ c4_2(a4,a1) ),
inference(resolution,[status(thm)],[f484,f120]) ).
fof(f762,plain,
( ~ sQ69_spl
| ssSkP2(a4)
| c3_2(a4,a22)
| ~ c4_2(a4,a22) ),
inference(resolution,[status(thm)],[f484,f112]) ).
fof(f763,plain,
( ~ sQ69_spl
| sQ125_spl
| sQ123_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f761,f744,f741,f747,f483]) ).
fof(f764,plain,
( ~ sQ69_spl
| sQ128_spl
| sQ126_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f762,f754,f751,f757,f483]) ).
fof(f765,plain,
( ~ sQ66_spl
| ssSkP1(a24)
| c1_2(a24,a5)
| ~ c3_2(a24,a5) ),
inference(resolution,[status(thm)],[f472,f119]) ).
fof(f766,plain,
( ~ sQ66_spl
| ssSkP2(a24)
| c1_2(a24,a22)
| ~ c3_2(a24,a22) ),
inference(resolution,[status(thm)],[f472,f111]) ).
fof(f767,definition,
( sQ129_spl
<=> c3_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( sQ129_spl
| ~ c3_2(a24,a5) ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ130_spl
<=> c1_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ130_spl
| c1_2(a24,a5) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ131_spl
<=> ssSkP1(a24) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ131_spl
| ssSkP1(a24) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ66_spl
| sQ131_spl
| sQ130_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f765,f767,f770,f773,f471]) ).
fof(f777,definition,
( sQ132_spl
<=> c3_2(a24,a22) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( sQ132_spl
| ~ c3_2(a24,a22) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ133_spl
<=> c1_2(a24,a22) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ133_spl
| c1_2(a24,a22) ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ134_spl
<=> ssSkP2(a24) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ134_spl
| ssSkP2(a24) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( ~ sQ66_spl
| sQ134_spl
| sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f766,f777,f780,f783,f471]) ).
fof(f787,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| ssSkP2(a24)
| c1_1(a24)
| c1_2(a24,a22)
| c3_2(a24,a22)
| c4_2(a24,a18)
| ~ c1_2(a24,a18) ),
inference(resolution,[status(thm)],[f468,f592]) ).
fof(f788,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| ssSkP1(a24)
| c1_1(a24)
| c3_2(a24,a5)
| c4_2(a24,a18)
| ~ c1_2(a24,a18) ),
inference(resolution,[status(thm)],[f468,f593]) ).
fof(f789,plain,
( ~ sQ65_spl
| ssSkP2(a24)
| c4_2(a24,a22)
| ~ c1_2(a24,a22) ),
inference(resolution,[status(thm)],[f468,f113]) ).
fof(f790,definition,
( sQ135_spl
<=> c1_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( sQ135_spl
| ~ c1_2(a24,a18) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,definition,
( sQ136_spl
<=> c4_2(a24,a18) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ136_spl
| c4_2(a24,a18) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ137_spl
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ137_spl
| c1_1(a24) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| sQ134_spl
| sQ137_spl
| sQ133_spl
| sQ132_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f787,f790,f793,f777,f780,f796,f783,f467,f507]) ).
fof(f800,plain,
( ~ sQ75_spl
| ~ sQ65_spl
| sQ131_spl
| sQ137_spl
| sQ129_spl
| sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f788,f790,f793,f767,f796,f773,f467,f507]) ).
fof(f801,definition,
( sQ138_spl
<=> c4_2(a24,a22) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ138_spl
| c4_2(a24,a22) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ65_spl
| sQ134_spl
| sQ138_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f789,f780,f801,f783,f467]) ).
fof(f806,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,a22)
| ~ c3_2(X0,a22) ),
inference(resolution,[status(thm)],[f594,f112]) ).
fof(f807,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c3_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f111]) ).
fof(f808,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ c4_1(a12)
| c5_1(a12) ),
inference(resolution,[status(thm)],[f556,f263]) ).
fof(f809,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| ~ sQ40_spl
| ~ sQ11_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f808,f294,f258,f373,f456,f262]) ).
fof(f810,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c3_2(X0,a22)
| ssSkP2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f595]) ).
fof(f811,plain,
( ~ sQ83_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ c5_1(a13)
| ~ c3_1(a13)
| ssSkP2(a13) ),
inference(resolution,[status(thm)],[f578,f810]) ).
fof(f812,definition,
( sQ139_spl
<=> c5_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( sQ139_spl
| ~ c5_1(a13) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ83_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ sQ139_spl
| ~ sQ105_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f811,f580,f650,f812,f577,f381,f538]) ).
fof(f816,plain,
( ~ sQ79_spl
| ~ sQ91_spl
| ssSkP2(a13)
| c5_2(a13,a21)
| ~ c5_1(a13) ),
inference(resolution,[status(thm)],[f575,f715]) ).
fof(f817,definition,
( sQ140_spl
<=> c5_2(a13,a21) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ140_spl
| c5_2(a13,a21) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ sQ79_spl
| ~ sQ91_spl
| sQ93_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f816,f812,f817,f580,f574,f522]) ).
fof(f821,plain,
! [X0] :
( ~ sQ49_spl
| ndr1_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f106]) ).
fof(f822,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ44_spl
| c1_1(a13)
| c3_2(a13,a18)
| c1_2(a13,X0)
| c3_2(a13,X0)
| ~ ndr1_1(a13)
| c3_2(a13,X0) ),
inference(resolution,[status(thm)],[f389,f512]) ).
fof(f823,definition,
! [X0] :
( sQ141_spl
<=> ( c1_2(a13,X0)
| c3_2(a13,X0)
| c3_2(a13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f824,plain,
! [X0] :
( ~ sQ141_spl
| c1_2(a13,X0)
| c3_2(a13,X0)
| c3_2(a13,X0) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ142_spl
<=> c3_2(a13,a18) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ142_spl
| c3_2(a13,a18) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ143_spl
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ143_spl
| c1_1(a13) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ76_spl
| ~ sQ44_spl
| sQ143_spl
| sQ142_spl
| ~ sQ43_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f822,f823,f385,f826,f829,f388,f511]) ).
fof(f833,plain,
! [X0] :
( ~ sQ141_spl
| c1_2(a13,X0)
| c3_2(a13,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f824]) ).
fof(f834,plain,
( ~ sQ141_spl
| ssSkP0(a13)
| c1_2(a13,a1) ),
inference(resolution,[status(thm)],[f833,f133]) ).
fof(f835,plain,
( ~ sQ141_spl
| sQ90_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f834,f564,f570,f823]) ).
fof(f836,plain,
( ~ sQ90_spl
| ~ sQ57_spl
| c3_2(a13,a2)
| ~ c1_1(a13) ),
inference(resolution,[status(thm)],[f438,f571]) ).
fof(f837,plain,
! [X0] :
( ~ sQ57_spl
| ndr1_1(X0)
| c3_2(X0,a2)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[f438,f106]) ).
fof(f838,definition,
( sQ144_spl
<=> c3_2(a13,a2) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ144_spl
| c3_2(a13,a2) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( ~ sQ90_spl
| ~ sQ57_spl
| sQ144_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f836,f829,f838,f437,f570]) ).
fof(f844,plain,
( ~ sQ52_spl
| ssSkP2(a4)
| c3_2(a4,a22) ),
inference(resolution,[status(thm)],[f419,f113]) ).
fof(f845,plain,
( ~ sQ52_spl
| sQ128_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f844,f751,f757,f418]) ).
fof(f846,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ116_spl
| c4_2(a19,a23)
| c4_2(a19,X0)
| c5_2(a19,X0)
| ~ ndr1_1(a19) ),
inference(resolution,[status(thm)],[f706,f480]) ).
fof(f847,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ116_spl
| c2_2(a19,a23)
| c4_2(a19,X0)
| c5_2(a19,X0)
| ~ ndr1_1(a19) ),
inference(resolution,[status(thm)],[f706,f476]) ).
fof(f848,definition,
! [X0] :
( sQ145_spl
<=> ( c4_2(a19,X0)
| c5_2(a19,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f849,plain,
! [X0] :
( ~ sQ145_spl
| c4_2(a19,X0)
| c5_2(a19,X0) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ146_spl
<=> c4_2(a19,a23) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ146_spl
| c4_2(a19,a23) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( ~ sQ68_spl
| ~ sQ116_spl
| sQ146_spl
| sQ145_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f846,f459,f848,f851,f705,f479]) ).
fof(f855,definition,
( sQ147_spl
<=> c2_2(a19,a23) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ147_spl
| c2_2(a19,a23) ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( ~ sQ67_spl
| ~ sQ116_spl
| sQ147_spl
| sQ145_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f847,f459,f848,f855,f705,f475]) ).
fof(f859,plain,
( ~ sQ48_spl
| ~ sQ114_spl
| c2_2(a19,a6)
| ~ c3_1(a19) ),
inference(resolution,[status(thm)],[f699,f404]) ).
fof(f860,plain,
( ~ sQ47_spl
| ~ sQ114_spl
| c3_2(a19,a6)
| ~ c3_1(a19) ),
inference(resolution,[status(thm)],[f699,f400]) ).
fof(f861,definition,
( sQ148_spl
<=> c3_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ148_spl
| ~ c3_1(a19) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ149_spl
<=> c2_2(a19,a6) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ149_spl
| c2_2(a19,a6) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( ~ sQ48_spl
| ~ sQ114_spl
| sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f859,f861,f864,f698,f403]) ).
fof(f868,definition,
( sQ150_spl
<=> c3_2(a19,a6) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ150_spl
| c3_2(a19,a6) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ47_spl
| ~ sQ114_spl
| sQ150_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f860,f861,f868,f698,f399]) ).
fof(f872,plain,
( ~ sQ14_spl
| ~ sQ49_spl
| ndr1_1(a8) ),
inference(resolution,[status(thm)],[f821,f271]) ).
fof(f874,plain,
( ~ sQ59_spl
| ~ sQ145_spl
| ~ c1_1(a19)
| ~ ssSkP0(a19)
| c4_2(a19,a2) ),
inference(resolution,[status(thm)],[f849,f446]) ).
fof(f875,plain,
( ~ sQ56_spl
| ~ sQ145_spl
| ~ c3_1(a19)
| ~ ssSkP1(a19)
| c4_2(a19,a6) ),
inference(resolution,[status(thm)],[f849,f434]) ).
fof(f877,plain,
( ~ sQ145_spl
| ssSkP1(a19)
| c4_2(a19,a5) ),
inference(resolution,[status(thm)],[f849,f131]) ).
fof(f878,definition,
( sQ151_spl
<=> c4_2(a19,a2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ151_spl
| c4_2(a19,a2) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ152_spl
<=> ssSkP0(a19) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( sQ152_spl
| ~ ssSkP0(a19) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ153_spl
<=> c1_1(a19) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( sQ153_spl
| ~ c1_1(a19) ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,plain,
( ~ sQ59_spl
| ~ sQ145_spl
| ~ sQ153_spl
| ~ sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f874,f878,f881,f884,f848,f445]) ).
fof(f888,definition,
( sQ154_spl
<=> c4_2(a19,a6) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ154_spl
| c4_2(a19,a6) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ56_spl
| ~ sQ145_spl
| ~ sQ148_spl
| ~ sQ114_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f875,f888,f698,f861,f848,f433]) ).
fof(f893,definition,
( sQ155_spl
<=> c4_2(a19,a5) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ155_spl
| c4_2(a19,a5) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ145_spl
| sQ114_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f877,f893,f698,f848]) ).
fof(f897,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ122_spl
| c4_2(a16,a23)
| c4_2(a16,X0)
| c5_2(a16,X0)
| ~ ndr1_1(a16) ),
inference(resolution,[status(thm)],[f736,f480]) ).
fof(f898,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ122_spl
| c2_2(a16,a23)
| c4_2(a16,X0)
| c5_2(a16,X0)
| ~ ndr1_1(a16) ),
inference(resolution,[status(thm)],[f736,f476]) ).
fof(f899,definition,
! [X0] :
( sQ156_spl
<=> ( c4_2(a16,X0)
| c5_2(a16,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f900,plain,
! [X0] :
( ~ sQ156_spl
| c4_2(a16,X0)
| c5_2(a16,X0) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,definition,
( sQ157_spl
<=> c4_2(a16,a23) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ157_spl
| c4_2(a16,a23) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ68_spl
| ~ sQ122_spl
| sQ157_spl
| sQ156_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f897,f518,f899,f902,f735,f479]) ).
fof(f906,definition,
( sQ158_spl
<=> c2_2(a16,a23) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ158_spl
| c2_2(a16,a23) ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,plain,
( ~ sQ67_spl
| ~ sQ122_spl
| sQ158_spl
| sQ156_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f898,f518,f899,f906,f735,f475]) ).
fof(f910,plain,
( ~ sQ56_spl
| ~ sQ156_spl
| ~ c3_1(a16)
| ~ ssSkP1(a16)
| c4_2(a16,a6) ),
inference(resolution,[status(thm)],[f900,f434]) ).
fof(f912,plain,
( ~ sQ156_spl
| ssSkP1(a16)
| c4_2(a16,a5) ),
inference(resolution,[status(thm)],[f900,f131]) ).
fof(f913,definition,
( sQ159_spl
<=> c4_2(a16,a6) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ159_spl
| c4_2(a16,a6) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,plain,
( ~ sQ56_spl
| ~ sQ156_spl
| ~ sQ39_spl
| ~ sQ119_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f910,f913,f725,f370,f899,f433]) ).
fof(f918,definition,
( sQ160_spl
<=> c4_2(a16,a5) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ160_spl
| c4_2(a16,a5) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( ~ sQ156_spl
| sQ119_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f912,f918,f725,f899]) ).
fof(f922,plain,
( ~ sQ48_spl
| ~ sQ119_spl
| c2_2(a16,a6)
| ~ c3_1(a16) ),
inference(resolution,[status(thm)],[f726,f404]) ).
fof(f923,plain,
( ~ sQ47_spl
| ~ sQ119_spl
| c3_2(a16,a6)
| ~ c3_1(a16) ),
inference(resolution,[status(thm)],[f726,f400]) ).
fof(f924,definition,
( sQ161_spl
<=> c2_2(a16,a6) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ161_spl
| c2_2(a16,a6) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ48_spl
| ~ sQ119_spl
| sQ161_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f922,f370,f924,f725,f403]) ).
fof(f928,definition,
( sQ162_spl
<=> c3_2(a16,a6) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( ~ sQ162_spl
| c3_2(a16,a6) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( ~ sQ47_spl
| ~ sQ119_spl
| sQ162_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f923,f370,f928,f725,f399]) ).
fof(f932,plain,
( ~ sQ81_spl
| ~ sQ35_spl
| ~ c5_1(a10)
| ~ c1_2(a10,a21)
| ~ ndr1_1(a10)
| ~ c1_2(a10,a11)
| ~ c4_2(a10,a11) ),
inference(resolution,[status(thm)],[f355,f531]) ).
fof(f933,plain,
( ~ sQ82_spl
| ~ sQ35_spl
| ~ c5_1(a10)
| ~ c4_2(a10,a21)
| ~ ndr1_1(a10)
| ~ c1_2(a10,a11)
| ~ c4_2(a10,a11) ),
inference(resolution,[status(thm)],[f355,f535]) ).
fof(f934,definition,
( sQ163_spl
<=> c4_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( sQ163_spl
| ~ c4_2(a10,a11) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ164_spl
<=> c1_2(a10,a21) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ164_spl
| ~ c1_2(a10,a21) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( ~ sQ81_spl
| ~ sQ35_spl
| ~ sQ27_spl
| ~ sQ164_spl
| ~ sQ26_spl
| ~ sQ38_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f932,f934,f366,f318,f937,f322,f354,f530]) ).
fof(f941,definition,
( sQ165_spl
<=> c4_2(a10,a21) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ165_spl
| ~ c4_2(a10,a21) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ82_spl
| ~ sQ35_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ26_spl
| ~ sQ38_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f933,f934,f366,f318,f941,f322,f354,f534]) ).
fof(f945,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| ndr1_1(a10) ),
inference(resolution,[status(thm)],[f327,f821]) ).
fof(f946,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f945,f318,f326,f407]) ).
fof(f947,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ128_spl
| c4_2(a4,a23)
| c4_2(a4,X0)
| c5_2(a4,X0)
| ~ ndr1_1(a4) ),
inference(resolution,[status(thm)],[f758,f480]) ).
fof(f948,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ128_spl
| c2_2(a4,a23)
| c4_2(a4,X0)
| c5_2(a4,X0)
| ~ ndr1_1(a4) ),
inference(resolution,[status(thm)],[f758,f476]) ).
fof(f949,definition,
! [X0] :
( sQ166_spl
<=> ( c4_2(a4,X0)
| c5_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f950,plain,
! [X0] :
( ~ sQ166_spl
| c4_2(a4,X0)
| c5_2(a4,X0) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,definition,
( sQ167_spl
<=> c4_2(a4,a23) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ167_spl
| c4_2(a4,a23) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,plain,
( ~ sQ68_spl
| ~ sQ128_spl
| sQ167_spl
| sQ166_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f947,f421,f949,f952,f757,f479]) ).
fof(f956,definition,
( sQ168_spl
<=> c2_2(a4,a23) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ168_spl
| c2_2(a4,a23) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( ~ sQ67_spl
| ~ sQ128_spl
| sQ168_spl
| sQ166_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f948,f421,f949,f956,f757,f475]) ).
fof(f960,plain,
( ~ sQ56_spl
| ~ sQ166_spl
| ~ c3_1(a4)
| ~ ssSkP1(a4)
| c4_2(a4,a6) ),
inference(resolution,[status(thm)],[f950,f434]) ).
fof(f962,plain,
( ~ sQ166_spl
| ssSkP1(a4)
| c4_2(a4,a5) ),
inference(resolution,[status(thm)],[f950,f131]) ).
fof(f963,definition,
( sQ169_spl
<=> c4_2(a4,a6) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ169_spl
| c4_2(a4,a6) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ170_spl
<=> ssSkP1(a4) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ170_spl
| ssSkP1(a4) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f968,plain,
( sQ170_spl
| ~ ssSkP1(a4) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ171_spl
<=> c3_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ171_spl
| ~ c3_1(a4) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ sQ56_spl
| ~ sQ166_spl
| ~ sQ171_spl
| ~ sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f960,f963,f966,f969,f949,f433]) ).
fof(f974,definition,
( sQ172_spl
<=> c4_2(a4,a5) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ172_spl
| c4_2(a4,a5) ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( ~ sQ166_spl
| sQ170_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f962,f974,f966,f949]) ).
fof(f978,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ134_spl
| c4_2(a24,a23)
| c4_2(a24,X0)
| c5_2(a24,X0)
| ~ ndr1_1(a24) ),
inference(resolution,[status(thm)],[f784,f480]) ).
fof(f979,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ134_spl
| c2_2(a24,a23)
| c4_2(a24,X0)
| c5_2(a24,X0)
| ~ ndr1_1(a24) ),
inference(resolution,[status(thm)],[f784,f476]) ).
fof(f980,definition,
! [X0] :
( sQ173_spl
<=> ( c4_2(a24,X0)
| c5_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f981,plain,
! [X0] :
( ~ sQ173_spl
| c4_2(a24,X0)
| c5_2(a24,X0) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ174_spl
<=> c4_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ174_spl
| c4_2(a24,a23) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( ~ sQ68_spl
| ~ sQ134_spl
| sQ174_spl
| sQ173_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f978,f246,f980,f983,f783,f479]) ).
fof(f987,definition,
( sQ175_spl
<=> c2_2(a24,a23) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ175_spl
| c2_2(a24,a23) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( ~ sQ67_spl
| ~ sQ134_spl
| sQ175_spl
| sQ173_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f979,f246,f980,f987,f783,f475]) ).
fof(f991,plain,
( ~ sQ56_spl
| ~ sQ173_spl
| ~ c3_1(a24)
| ~ ssSkP1(a24)
| c4_2(a24,a6) ),
inference(resolution,[status(thm)],[f981,f434]) ).
fof(f993,plain,
( ~ sQ173_spl
| ssSkP1(a24)
| c4_2(a24,a5) ),
inference(resolution,[status(thm)],[f981,f131]) ).
fof(f994,definition,
( sQ176_spl
<=> c4_2(a24,a6) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ176_spl
| c4_2(a24,a6) ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ177_spl
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( sQ177_spl
| ~ c3_1(a24) ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,plain,
( ~ sQ56_spl
| ~ sQ173_spl
| ~ sQ177_spl
| ~ sQ131_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f991,f994,f773,f997,f980,f433]) ).
fof(f1002,definition,
( sQ178_spl
<=> c4_2(a24,a5) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ178_spl
| c4_2(a24,a5) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( ~ sQ173_spl
| sQ131_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f993,f1002,f773,f980]) ).
fof(f1006,plain,
( ~ sQ48_spl
| ~ sQ131_spl
| c2_2(a24,a6)
| ~ c3_1(a24) ),
inference(resolution,[status(thm)],[f774,f404]) ).
fof(f1007,plain,
( ~ sQ47_spl
| ~ sQ131_spl
| c3_2(a24,a6)
| ~ c3_1(a24) ),
inference(resolution,[status(thm)],[f774,f400]) ).
fof(f1008,definition,
( sQ179_spl
<=> c2_2(a24,a6) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ179_spl
| c2_2(a24,a6) ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( ~ sQ48_spl
| ~ sQ131_spl
| sQ179_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1006,f997,f1008,f773,f403]) ).
fof(f1012,definition,
( sQ180_spl
<=> c3_2(a24,a6) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ180_spl
| c3_2(a24,a6) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( ~ sQ47_spl
| ~ sQ131_spl
| sQ180_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1007,f997,f1012,f773,f399]) ).
fof(f1016,plain,
( ~ sQ49_spl
| ~ sQ137_spl
| ndr1_1(a24) ),
inference(resolution,[status(thm)],[f797,f821]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ173_spl
| ~ sQ83_spl
| ~ sQ42_spl
| c4_2(a24,X0)
| ~ c5_1(a24)
| ~ c3_1(a24)
| ~ c4_2(a24,X0)
| ~ c3_2(a24,X0) ),
inference(resolution,[status(thm)],[f594,f981]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ166_spl
| ~ sQ83_spl
| ~ sQ42_spl
| c4_2(a4,X0)
| ~ c5_1(a4)
| ~ c3_1(a4)
| ~ c4_2(a4,X0)
| ~ c3_2(a4,X0) ),
inference(resolution,[status(thm)],[f594,f950]) ).
fof(f1019,plain,
( ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ~ c5_1(a10)
| ~ c3_1(a10)
| ~ c4_2(a10,a11)
| ~ c3_2(a10,a11) ),
inference(resolution,[status(thm)],[f594,f351]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,a22)
| ~ c3_2(X0,a22) ),
inference(resolution,[status(thm)],[f594,f112]) ).
fof(f1022,definition,
! [X0] :
( sQ181_spl
<=> ( c4_2(a24,X0)
| ~ c4_2(a24,X0)
| ~ c3_2(a24,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1025,definition,
( sQ182_spl
<=> c5_1(a24) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( sQ182_spl
| ~ c5_1(a24) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ173_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ~ sQ182_spl
| ~ sQ177_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1017,f1022,f997,f1025,f381,f538,f980]) ).
fof(f1029,definition,
! [X0] :
( sQ183_spl
<=> ( c4_2(a4,X0)
| ~ c4_2(a4,X0)
| ~ c3_2(a4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1032,definition,
( sQ184_spl
<=> c5_1(a4) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( sQ184_spl
| ~ c5_1(a4) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ166_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ~ sQ184_spl
| ~ sQ171_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1018,f1029,f969,f1032,f381,f538,f949]) ).
fof(f1036,definition,
( sQ185_spl
<=> c3_2(a10,a11) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( sQ185_spl
| ~ c3_2(a10,a11) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ186_spl
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ186_spl
| ~ c3_1(a10) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( ~ sQ34_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ163_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1019,f1036,f934,f1039,f322,f381,f538,f350]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c3_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f111]) ).
fof(f1044,plain,
( ~ sQ89_spl
| ssSkP0(a13) ),
inference(resolution,[status(thm)],[f568,f133]) ).
fof(f1045,plain,
( ~ sQ88_spl
| ssSkP0(a13) ),
inference(resolution,[status(thm)],[f565,f134]) ).
fof(f1046,plain,
( ~ sQ95_spl
| ssSkP0(a3) ),
inference(resolution,[status(thm)],[f605,f133]) ).
fof(f1051,plain,
( sQ116_spl
| ndr1_1(a19) ),
inference(resolution,[status(thm)],[f707,f98]) ).
fof(f1052,plain,
( sQ116_spl
| sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1051,f461]) ).
fof(f1053,plain,
( sQ116_spl
| sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
( sQ114_spl
| ndr1_1(a19) ),
inference(resolution,[status(thm)],[f700,f105]) ).
fof(f1055,plain,
( sQ152_spl
| ndr1_1(a19) ),
inference(resolution,[status(thm)],[f883,f106]) ).
fof(f1056,plain,
( sQ122_spl
| ndr1_1(a16) ),
inference(resolution,[status(thm)],[f737,f98]) ).
fof(f1057,plain,
( sQ122_spl
| sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f520]) ).
fof(f1058,plain,
( sQ122_spl
| sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1057]) ).
fof(f1059,plain,
( sQ119_spl
| ndr1_1(a16) ),
inference(resolution,[status(thm)],[f727,f105]) ).
fof(f1060,plain,
( sQ99_spl
| ndr1_1(a3) ),
inference(resolution,[status(thm)],[f619,f98]) ).
fof(f1061,plain,
( sQ99_spl
| sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f554]) ).
fof(f1062,plain,
( sQ99_spl
| sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( ~ sQ48_spl
| ~ sQ170_spl
| c2_2(a4,a6)
| ~ c3_1(a4) ),
inference(resolution,[status(thm)],[f967,f404]) ).
fof(f1064,plain,
( ~ sQ47_spl
| ~ sQ170_spl
| c3_2(a4,a6)
| ~ c3_1(a4) ),
inference(resolution,[status(thm)],[f967,f400]) ).
fof(f1065,definition,
( sQ187_spl
<=> c2_2(a4,a6) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ187_spl
| c2_2(a4,a6) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ sQ48_spl
| ~ sQ170_spl
| sQ187_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1063,f969,f1065,f966,f403]) ).
fof(f1069,definition,
( sQ188_spl
<=> c3_2(a4,a6) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ188_spl
| c3_2(a4,a6) ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( ~ sQ47_spl
| ~ sQ170_spl
| sQ188_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1064,f969,f1069,f966,f399]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,a22)
| ~ c3_2(X0,a22) ),
inference(resolution,[status(thm)],[f594,f112]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(X0)
| ~ c5_1(X0)
| ~ c3_1(X0)
| ~ c3_2(X0,a22) ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f111]) ).
fof(f1078,plain,
( ~ sQ130_spl
| ssSkP1(a24) ),
inference(resolution,[status(thm)],[f771,f132]) ).
fof(f1087,plain,
( ~ sQ126_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(a4)
| ~ c5_1(a4)
| ~ c3_1(a4) ),
inference(resolution,[status(thm)],[f807,f752]) ).
fof(f1088,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ42_spl
| ssSkP2(a3)
| ~ c5_1(a3)
| ~ c3_1(a3) ),
inference(resolution,[status(thm)],[f807,f615]) ).
fof(f1089,plain,
( ~ sQ126_spl
| ~ sQ83_spl
| ~ sQ42_spl
| sQ128_spl
| ~ sQ184_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1087,f969,f1032,f757,f381,f538,f751]) ).
fof(f1090,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| ~ sQ42_spl
| sQ99_spl
| ~ sQ84_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f1088,f545,f541,f617,f381,f538,f614]) ).
fof(f1095,plain,
( sQ170_spl
| ndr1_1(a4) ),
inference(resolution,[status(thm)],[f968,f105]) ).
fof(f1096,plain,
( sQ170_spl
| sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1095,f423]) ).
fof(f1097,plain,
( sQ170_spl
| sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ166_spl
| c4_2(a4,X0)
| ~ c3_2(a4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f950]) ).
fof(f1110,plain,
( ~ sQ126_spl
| ~ sQ70_spl
| ~ sQ166_spl
| c4_2(a4,a22) ),
inference(resolution,[status(thm)],[f1109,f752]) ).
fof(f1113,plain,
( ~ sQ52_spl
| ~ sQ168_spl
| c3_2(a4,a23) ),
inference(resolution,[status(thm)],[f957,f419]) ).
fof(f1114,plain,
( ~ sQ70_spl
| ~ sQ166_spl
| ~ sQ52_spl
| ~ sQ168_spl
| c4_2(a4,a23) ),
inference(resolution,[status(thm)],[f1113,f1109]) ).
fof(f1115,plain,
( ~ sQ70_spl
| ~ sQ166_spl
| ~ sQ188_spl
| c4_2(a4,a6) ),
inference(resolution,[status(thm)],[f1070,f1109]) ).
fof(f1116,plain,
( ~ sQ52_spl
| ~ sQ187_spl
| c3_2(a4,a6) ),
inference(resolution,[status(thm)],[f1066,f419]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ7_spl
| sQ8_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_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
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| sQ45_spl
| sQ46_spl
| sQ47_spl
| sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| sQ52_spl
| sQ53_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ58_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| sQ68_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ77_spl
| sQ78_spl
| ~ sQ80_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ87_spl
| sQ88_spl
| sQ89_spl
| sQ90_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl
| ~ sQ105_spl
| sQ106_spl
| sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| sQ122_spl
| sQ125_spl
| sQ126_spl
| sQ128_spl
| sQ130_spl
| sQ131_spl
| sQ133_spl
| sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ140_spl
| sQ142_spl
| sQ144_spl
| ~ sQ145_spl
| sQ146_spl
| sQ147_spl
| ~ sQ148_spl
| sQ149_spl
| sQ150_spl
| sQ151_spl
| ~ sQ152_spl
| ~ sQ153_spl
| sQ154_spl
| sQ155_spl
| sQ157_spl
| sQ158_spl
| sQ159_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| ~ sQ163_spl
| ~ sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| sQ167_spl
| sQ168_spl
| sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| ~ sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ176_spl
| ~ sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| sQ188_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN515-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:06:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.15/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.056623 seconds
% 0.15/0.43 % CPU time: 0.175568 seconds
% 0.15/0.43 % Total memory used: 11.044 MB
% 0.15/0.43 % Net memory used: 11.013 MB
%------------------------------------------------------------------------------