%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN521-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:55 PM UTC 2026
% Result : Satisfiable 0.13s 0.39s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c3_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC4
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c4_0
| ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( c3_0
| ndr1_1(a74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ssSkC4
| ndr1_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ssSkC3
| ndr1_1(a93) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ssSkC3
| c4_1(a93) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ssSkC3
| c3_1(a93) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ssSkC1
| ndr1_1(a88) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC1
| c1_1(a88) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ssSkC0
| c4_1(a80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c3_0
| ndr1_1(a102)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c3_0
| c2_1(a102)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c4_0
| ndr1_1(a95)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c4_0
| ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( ndr1_1(a82)
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c1_1(a82)
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c3_0
| c5_2(a74,a75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c3_0
| ~ c2_1(a74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ndr1_1(a70)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ~ c2_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ssSkC4
| c5_2(a97,a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ssSkC4
| c5_2(a97,a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ssSkC3
| c2_2(a93,a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ssSkC2
| ~ c4_1(a90) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ssSkC2
| ~ c3_1(a90) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ssSkC2
| ~ c2_1(a90) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ssSkC1
| c4_2(a88,a89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ssSkC0
| ~ c2_1(a80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ssSkC0
| ~ c3_1(a80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( c3_0
| c1_2(a102,a103)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( c4_1(a100)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( c2_1(a100)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( c4_0
| c1_2(a95,a96)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( c4_0
| c5_2(a95,a96)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( c4_0
| ndr1_1(a85)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( c4_0
| c5_1(a85)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c4_2(a82,a83)
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c1_0
| c1_1(a76)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c1_0
| c3_1(a76)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c3_0
| ~ c2_2(a74,a75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( c3_0
| ~ c1_2(a74,a75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c4_2(a70,a71)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c1_2(a70,a71)
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( ssSkC4
| ~ c2_2(a97,a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ssSkC4
| ~ c1_2(a97,a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ssSkC4
| ~ c2_2(a97,a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ssSkC3
| ~ c1_2(a93,a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ssSkC3
| ~ c4_2(a93,a94) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c2_2(U,a91) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c4_2(U,a91) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a91) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( ssSkC1
| ~ c2_2(a88,a89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( ssSkC1
| ~ c5_2(a88,a89) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( c3_0
| ~ c5_2(a102,a103)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( c4_0
| ~ c4_2(a95,a96)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( c4_0
| c4_2(a85,a87)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( c4_0
| c5_2(a85,a87)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( ~ c3_0
| ~ c2_2(a82,a84) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( ~ c3_0
| ~ c4_2(a82,a84) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( ~ c3_0
| ~ c5_2(a82,a84) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( ~ c3_0
| ~ c5_2(a82,a83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( ~ c4_0
| ~ c5_2(a70,a73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
( ~ c4_0
| ~ c4_2(a70,a73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
( ~ c4_0
| ~ c5_2(a70,a72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
( ~ c4_0
| ~ c2_2(a70,a72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
( ~ c4_0
| ~ c3_2(a70,a72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
( ~ c4_0
| ~ c2_2(a70,a71) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
( c4_0
| ~ c2_0
| ~ c3_2(a85,a87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
( c4_0
| ~ c2_0
| ~ c3_2(a85,a86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
( c4_0
| ~ c2_0
| ~ c1_2(a85,a86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( ssSkC1
| c2_2(a88,U)
| c5_2(a88,U)
| ~ ndr1_1(a88) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( ssSkC5
| ~ ndr1_1(a101)
| ~ c5_2(a101,U)
| ~ c2_2(a101,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( ssSkC4
| c1_2(a97,U)
| c2_2(a97,U)
| c3_2(a97,U)
| ~ ndr1_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U,V] :
( c3_0
| ndr1_1(a77)
| c1_2(U,V)
| c4_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U] :
( ssSkC5
| c3_2(a101,U)
| ~ ndr1_1(a101)
| ~ c5_2(a101,U)
| ~ c1_2(a101,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( c4_0
| c5_2(a95,U)
| ~ ndr1_1(a95)
| ~ c3_2(a95,U)
| ~ c1_2(a95,U)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U,V] :
( c3_0
| c3_2(a77,a79)
| c1_2(U,V)
| c4_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(U,V)
| c4_2(U,V)
| ~ c3_1(a77)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U] :
( c3_0
| ~ ndr1_1(a102)
| ~ c3_2(a102,U)
| ~ c5_2(a102,U)
| ~ c1_2(a102,U)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U,V] :
( c1_1(U)
| c4_2(U,a81)
| c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U,V] :
( c1_1(U)
| c1_2(U,a81)
| c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(U,V)
| c4_2(U,V)
| ~ c5_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(U,V)
| c4_2(U,V)
| ~ c2_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(U,V)
| c4_2(U,V)
| ~ c5_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(U,V)
| c4_2(U,V)
| ~ c3_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [U] :
( ~ c5_0
| ~ ndr1_1(a100)
| ~ c2_2(a100,U)
| ~ c3_2(a100,U)
| ~ c4_2(a100,U)
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [U,V] :
( c1_1(U)
| c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c5_2(U,a81)
| ~ ndr1_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [U,V] :
( c3_0
| c3_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [U,V] :
( c5_0
| c2_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [U,V] :
( c1_2(U,a92)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [U,V] :
( c5_2(U,a92)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [U,V] :
( c2_0
| c4_1(U)
| c1_2(U,V)
| ~ c4_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f104,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f105,plain,
( ssSkC4
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f108,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f109,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f110,plain,
( c4_0
| ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f111,plain,
( ndr1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f112,plain,
( c3_0
| ndr1_1(a74) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f113,plain,
( ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f114,plain,
( ssSkC4
| ndr1_1(a97) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f115,plain,
( ssSkC3
| ndr1_1(a93) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f116,plain,
( ssSkC3
| c4_1(a93) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f117,plain,
( ssSkC3
| c3_1(a93) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f118,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f119,plain,
( ssSkC1
| ndr1_1(a88) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f120,plain,
( ssSkC1
| c1_1(a88) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f121,plain,
( ssSkC0
| c4_1(a80) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f122,plain,
( c3_0
| ndr1_1(a102)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f123,plain,
( c3_0
| c2_1(a102)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f124,plain,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f125,plain,
( c4_0
| ndr1_1(a95)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f126,plain,
( c4_0
| ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f127,plain,
( ndr1_1(a82)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f128,plain,
( c1_1(a82)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f129,plain,
( c3_0
| c5_2(a74,a75) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f130,plain,
( c3_0
| ~ c2_1(a74) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f131,plain,
( ndr1_1(a70)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f132,plain,
( ~ c2_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f133,plain,
( ssSkC4
| c5_2(a97,a99) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f134,plain,
( ssSkC4
| c5_2(a97,a98) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f135,plain,
( ssSkC3
| c2_2(a93,a94) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f136,plain,
( ssSkC2
| ~ c4_1(a90) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f137,plain,
( ssSkC2
| ~ c3_1(a90) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f138,plain,
( ssSkC2
| ~ c2_1(a90) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f139,plain,
( ssSkC1
| c4_2(a88,a89) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f140,plain,
( ssSkC0
| ~ c2_1(a80) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f141,plain,
( ssSkC0
| ~ c3_1(a80) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f142,plain,
( c3_0
| c1_2(a102,a103)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f143,plain,
( c4_1(a100)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f144,plain,
( c2_1(a100)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f145,plain,
( c4_0
| c1_2(a95,a96)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f146,plain,
( c4_0
| c5_2(a95,a96)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f147,plain,
( c4_0
| ndr1_1(a85)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f148,plain,
( c4_0
| c5_1(a85)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f149,plain,
( c4_2(a82,a83)
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f150,plain,
( c1_0
| c1_1(a76)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f151,plain,
( c1_0
| c3_1(a76)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f152,plain,
( c3_0
| ~ c2_2(a74,a75) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f153,plain,
( c3_0
| ~ c1_2(a74,a75) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f154,plain,
( c4_2(a70,a71)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f155,plain,
( c1_2(a70,a71)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f156,plain,
( ssSkC4
| ~ c2_2(a97,a99) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f157,plain,
( ssSkC4
| ~ c1_2(a97,a99) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f158,plain,
( ssSkC4
| ~ c2_2(a97,a98) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f159,plain,
( ssSkC3
| ~ c1_2(a93,a94) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f160,plain,
( ssSkC3
| ~ c4_2(a93,a94) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f161,plain,
! [X0] :
( ssSkP0(X0)
| ~ c2_2(X0,a91) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f162,plain,
! [X0] :
( ssSkP0(X0)
| ~ c4_2(X0,a91) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f163,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a91) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f164,plain,
( ssSkC1
| ~ c2_2(a88,a89) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f165,plain,
( ssSkC1
| ~ c5_2(a88,a89) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f166,plain,
( c3_0
| ~ c5_2(a102,a103)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f167,plain,
( c4_0
| ~ c4_2(a95,a96)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f168,plain,
( c4_0
| c4_2(a85,a87)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f169,plain,
( c4_0
| c5_2(a85,a87)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f170,plain,
( ~ c3_0
| ~ c2_2(a82,a84) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f171,plain,
( ~ c3_0
| ~ c4_2(a82,a84) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f172,plain,
( ~ c3_0
| ~ c5_2(a82,a84) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f173,plain,
( ~ c3_0
| ~ c5_2(a82,a83) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f174,plain,
( ~ c4_0
| ~ c5_2(a70,a73) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f175,plain,
( ~ c4_0
| ~ c4_2(a70,a73) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f176,plain,
( ~ c4_0
| ~ c5_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f177,plain,
( ~ c4_0
| ~ c2_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f178,plain,
( ~ c4_0
| ~ c3_2(a70,a72) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f179,plain,
( ~ c4_0
| ~ c2_2(a70,a71) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f180,plain,
( c4_0
| ~ c2_0
| ~ c3_2(a85,a87) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f181,plain,
( c4_0
| ~ c2_0
| ~ c3_2(a85,a86) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f182,plain,
( c4_0
| ~ c2_0
| ~ c1_2(a85,a86) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f183,plain,
( ssSkC1
| ! [U] :
( c2_2(a88,U)
| c5_2(a88,U)
| ~ ndr1_1(a88) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f184,plain,
! [X0] :
( ssSkC1
| c2_2(a88,X0)
| c5_2(a88,X0)
| ~ ndr1_1(a88) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( ssSkC5
| ~ ndr1_1(a101)
| ! [U] :
( ~ c5_2(a101,U)
| ~ c2_2(a101,U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f186,plain,
! [X0] :
( ssSkC5
| ~ ndr1_1(a101)
| ~ c5_2(a101,X0)
| ~ c2_2(a101,X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( ssSkC4
| ! [U] :
( c1_2(a97,U)
| c2_2(a97,U)
| c3_2(a97,U)
| ~ ndr1_1(a97) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f188,plain,
! [X0] :
( ssSkC4
| c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0)
| ~ ndr1_1(a97) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( c3_0
| ndr1_1(a77)
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f190,plain,
! [X0,X1] :
( c3_0
| ndr1_1(a77)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( ssSkC5
| ! [U] :
( c3_2(a101,U)
| ~ ndr1_1(a101)
| ~ c5_2(a101,U)
| ~ c1_2(a101,U) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f192,plain,
! [X0] :
( ssSkC5
| c3_2(a101,X0)
| ~ ndr1_1(a101)
| ~ c5_2(a101,X0)
| ~ c1_2(a101,X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( c4_0
| ! [U] :
( c5_2(a95,U)
| ~ ndr1_1(a95)
| ~ c3_2(a95,U)
| ~ c1_2(a95,U)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f194,plain,
! [X0] :
( c4_0
| c5_2(a95,X0)
| ~ ndr1_1(a95)
| ~ c3_2(a95,X0)
| ~ c1_2(a95,X0)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( c3_0
| c3_2(a77,a79)
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f196,plain,
! [X0,X1] :
( c3_0
| c3_2(a77,a79)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( c3_0
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c3_1(a77)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f198,plain,
! [X0,X1] :
( c3_0
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c3_1(a77)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( c3_0
| ~ ndr1_1(a102)
| ! [U] :
( ~ c3_2(a102,U)
| ~ c5_2(a102,U)
| ~ c1_2(a102,U)
| ~ ssSkC5 ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f200,plain,
! [X0] :
( c3_0
| ~ ndr1_1(a102)
| ~ c3_2(a102,X0)
| ~ c5_2(a102,X0)
| ~ c1_2(a102,X0)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
! [U] :
( c1_1(U)
| c4_2(U,a81)
| ! [V] :
( c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f202,plain,
! [X0,X1] :
( c1_1(X0)
| c4_2(X0,a81)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
! [U] :
( c1_1(U)
| c1_2(U,a81)
| ! [V] :
( c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f204,plain,
! [X0,X1] :
( c1_1(X0)
| c1_2(X0,a81)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( c3_0
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c5_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f206,plain,
! [X0,X1] :
( c3_0
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c5_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( c3_0
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c2_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f208,plain,
! [X0,X1] :
( c3_0
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c2_2(a77,a79)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( c3_0
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c5_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f210,plain,
! [X0,X1] :
( c3_0
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c5_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( c3_0
| ! [U,V] :
( c1_2(U,V)
| c4_2(U,V)
| ~ c3_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f212,plain,
! [X0,X1] :
( c3_0
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c3_2(a77,a78)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( ~ c5_0
| ~ ndr1_1(a100)
| ! [U] :
( ~ c2_2(a100,U)
| ~ c3_2(a100,U)
| ~ c4_2(a100,U)
| ~ ssSkC4 ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f214,plain,
! [X0] :
( ~ c5_0
| ~ ndr1_1(a100)
| ~ c2_2(a100,X0)
| ~ c3_2(a100,X0)
| ~ c4_2(a100,X0)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [U] :
( c1_1(U)
| ! [V] :
( c2_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c5_2(U,a81)
| ~ ndr1_1(U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f216,plain,
! [X0,X1] :
( c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ c5_2(X0,a81)
| ~ ndr1_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( c3_0
| ! [U,V] :
( c3_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f218,plain,
! [X0,X1] :
( c3_0
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
( c5_0
| ! [U] :
( c2_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f220,plain,
! [X0,X1] :
( c5_0
| c2_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
! [U] :
( c1_2(U,a92)
| ! [V] :
( c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f222,plain,
! [X0,X1] :
( c1_2(X0,a92)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
! [U] :
( c5_2(U,a92)
| ! [V] :
( c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f224,plain,
! [X0,X1] :
( c5_2(X0,a92)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkC2
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( c2_0
| ! [U] :
( c4_1(U)
| ! [V] :
( c1_2(U,V)
| ~ c4_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f226,plain,
! [X0,X1] :
( c2_0
| c4_1(X0)
| c1_2(X0,X1)
| ~ c4_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ1_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( sQ1_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f103,f227,f230]) ).
fof(f234,definition,
( sQ2_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( sQ2_spl
| ~ ssSkC5 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f227,f234]) ).
fof(f238,definition,
( sQ3_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ3_spl
| ~ ssSkC4 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f227,f238]) ).
fof(f242,definition,
( sQ4_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ4_spl
| ~ ssSkC3 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f227,f242]) ).
fof(f246,definition,
( sQ5_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ5_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f107,f227,f246]) ).
fof(f250,definition,
( sQ6_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ6_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f227,f250]) ).
fof(f254,definition,
( sQ7_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f227,f254]) ).
fof(f258,definition,
( sQ8_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ8_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ8_spl
| sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f110,f242,f227,f258]) ).
fof(f262,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f111,f230,f227]) ).
fof(f263,definition,
( sQ9_spl
<=> ndr1_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ9_spl
| ndr1_1(a74) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f112,f263,f230]) ).
fof(f267,plain,
( sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f113,f258,f227]) ).
fof(f268,definition,
( sQ10_spl
<=> ndr1_1(a97) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ10_spl
| ndr1_1(a97) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f114,f268,f238]) ).
fof(f272,definition,
( sQ11_spl
<=> ndr1_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ11_spl
| ndr1_1(a93) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f115,f272,f242]) ).
fof(f276,definition,
( sQ12_spl
<=> c4_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ12_spl
| c4_1(a93) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f116,f276,f242]) ).
fof(f280,definition,
( sQ13_spl
<=> c3_1(a93) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ13_spl
| c3_1(a93) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f117,f280,f242]) ).
fof(f284,definition,
( sQ14_spl
<=> ndr1_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f119,f284,f250]) ).
fof(f288,definition,
( sQ15_spl
<=> c1_1(a88) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f120,f288,f250]) ).
fof(f292,definition,
( sQ16_spl
<=> c4_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ16_spl
| c4_1(a80) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ7_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f121,f292,f254]) ).
fof(f296,definition,
( sQ17_spl
<=> ndr1_1(a102) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ1_spl
| sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f122,f234,f296,f230]) ).
fof(f300,definition,
( sQ18_spl
<=> c2_1(a102) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ1_spl
| sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f123,f234,f300,f230]) ).
fof(f304,definition,
( sQ19_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ19_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ0_spl
| ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f124,f238,f304,f227]) ).
fof(f308,definition,
( sQ20_spl
<=> ndr1_1(a95) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ8_spl
| sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f125,f242,f308,f258]) ).
fof(f312,definition,
( sQ21_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ21_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( sQ8_spl
| sQ0_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f126,f312,f227,f258]) ).
fof(f316,definition,
( sQ22_spl
<=> ndr1_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ22_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f127,f230,f316]) ).
fof(f320,definition,
( sQ23_spl
<=> c1_1(a82) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ23_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f128,f230,f320]) ).
fof(f324,definition,
( sQ24_spl
<=> c5_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ24_spl
| c5_2(a74,a75) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ1_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f129,f324,f230]) ).
fof(f328,definition,
( sQ25_spl
<=> c2_1(a74) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ25_spl
| ~ c2_1(a74) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f130,f328,f230]) ).
fof(f332,definition,
( sQ26_spl
<=> ndr1_1(a70) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ26_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f131,f258,f332]) ).
fof(f336,plain,
( ~ sQ21_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f132,f304,f312]) ).
fof(f337,definition,
( sQ27_spl
<=> c5_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ27_spl
| c5_2(a97,a99) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ3_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f133,f337,f238]) ).
fof(f341,definition,
( sQ28_spl
<=> c5_2(a97,a98) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ28_spl
| c5_2(a97,a98) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ3_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f134,f341,f238]) ).
fof(f345,definition,
( sQ29_spl
<=> c2_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ29_spl
| c2_2(a93,a94) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ4_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f135,f345,f242]) ).
fof(f349,definition,
( sQ30_spl
<=> c4_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( sQ30_spl
| ~ c4_1(a90) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f136,f349,f246]) ).
fof(f353,definition,
( sQ31_spl
<=> c3_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ31_spl
| ~ c3_1(a90) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( sQ5_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f137,f353,f246]) ).
fof(f357,definition,
( sQ32_spl
<=> c2_1(a90) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ32_spl
| ~ c2_1(a90) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ5_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f138,f357,f246]) ).
fof(f361,definition,
( sQ33_spl
<=> c4_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ6_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f139,f361,f250]) ).
fof(f365,definition,
( sQ34_spl
<=> c2_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ34_spl
| ~ c2_1(a80) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ7_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f140,f365,f254]) ).
fof(f369,definition,
( sQ35_spl
<=> c3_1(a80) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ35_spl
| ~ c3_1(a80) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ7_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f141,f369,f254]) ).
fof(f373,definition,
( sQ36_spl
<=> c1_2(a102,a103) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( sQ1_spl
| sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f142,f234,f373,f230]) ).
fof(f377,definition,
( sQ37_spl
<=> c4_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ37_spl
| ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f143,f238,f304,f377]) ).
fof(f381,definition,
( sQ38_spl
<=> c2_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( sQ38_spl
| ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f144,f238,f304,f381]) ).
fof(f385,definition,
( sQ39_spl
<=> c1_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ8_spl
| sQ39_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f145,f242,f385,f258]) ).
fof(f389,definition,
( sQ40_spl
<=> c5_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ8_spl
| sQ40_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f146,f242,f389,f258]) ).
fof(f393,definition,
( sQ41_spl
<=> ndr1_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ8_spl
| sQ41_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f147,f312,f393,f258]) ).
fof(f397,definition,
( sQ42_spl
<=> c5_1(a85) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ8_spl
| sQ42_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f148,f312,f397,f258]) ).
fof(f401,definition,
( sQ43_spl
<=> c4_2(a82,a83) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ43_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f149,f230,f401]) ).
fof(f405,definition,
( sQ44_spl
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f408,definition,
( sQ45_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ45_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ45_spl
| sQ44_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f150,f258,f405,f408]) ).
fof(f412,definition,
( sQ46_spl
<=> c3_1(a76) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( sQ45_spl
| sQ46_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f151,f258,f412,f408]) ).
fof(f416,definition,
( sQ47_spl
<=> c2_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ47_spl
| ~ c2_2(a74,a75) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ1_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f152,f416,f230]) ).
fof(f420,definition,
( sQ48_spl
<=> c1_2(a74,a75) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ48_spl
| ~ c1_2(a74,a75) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( sQ1_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f153,f420,f230]) ).
fof(f424,definition,
( sQ49_spl
<=> c4_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ49_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f154,f258,f424]) ).
fof(f428,definition,
( sQ50_spl
<=> c1_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ50_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f155,f258,f428]) ).
fof(f432,definition,
( sQ51_spl
<=> c2_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ51_spl
| ~ c2_2(a97,a99) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f156,f432,f238]) ).
fof(f436,definition,
( sQ52_spl
<=> c1_2(a97,a99) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ52_spl
| ~ c1_2(a97,a99) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ3_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f157,f436,f238]) ).
fof(f440,definition,
( sQ53_spl
<=> c2_2(a97,a98) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ53_spl
| ~ c2_2(a97,a98) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ3_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f158,f440,f238]) ).
fof(f444,definition,
( sQ54_spl
<=> c1_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ54_spl
| ~ c1_2(a93,a94) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( sQ4_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f159,f444,f242]) ).
fof(f448,definition,
( sQ55_spl
<=> c4_2(a93,a94) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ55_spl
| ~ c4_2(a93,a94) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( sQ4_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f160,f448,f242]) ).
fof(f452,definition,
( sQ56_spl
<=> c2_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ6_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f164,f452,f250]) ).
fof(f456,definition,
( sQ57_spl
<=> c5_2(a88,a89) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ6_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f165,f456,f250]) ).
fof(f460,definition,
( sQ58_spl
<=> c5_2(a102,a103) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( sQ1_spl
| ~ sQ58_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f166,f234,f460,f230]) ).
fof(f464,definition,
( sQ59_spl
<=> c4_2(a95,a96) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ8_spl
| ~ sQ59_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f167,f242,f464,f258]) ).
fof(f468,definition,
( sQ60_spl
<=> c4_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ8_spl
| sQ60_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f168,f312,f468,f258]) ).
fof(f472,definition,
( sQ61_spl
<=> c5_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( sQ8_spl
| sQ61_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f169,f312,f472,f258]) ).
fof(f476,definition,
( sQ62_spl
<=> c2_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ1_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f170,f476,f230]) ).
fof(f480,definition,
( sQ63_spl
<=> c4_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ1_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f171,f480,f230]) ).
fof(f484,definition,
( sQ64_spl
<=> c5_2(a82,a84) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ1_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f172,f484,f230]) ).
fof(f488,definition,
( sQ65_spl
<=> c5_2(a82,a83) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ1_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f173,f488,f230]) ).
fof(f492,definition,
( sQ66_spl
<=> c5_2(a70,a73) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( sQ66_spl
| ~ c5_2(a70,a73) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( ~ sQ8_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f174,f492,f258]) ).
fof(f496,definition,
( sQ67_spl
<=> c4_2(a70,a73) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ67_spl
| ~ c4_2(a70,a73) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sQ8_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f175,f496,f258]) ).
fof(f500,definition,
( sQ68_spl
<=> c5_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ68_spl
| ~ c5_2(a70,a72) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ8_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f176,f500,f258]) ).
fof(f504,definition,
( sQ69_spl
<=> c2_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( sQ69_spl
| ~ c2_2(a70,a72) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( ~ sQ8_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f177,f504,f258]) ).
fof(f508,definition,
( sQ70_spl
<=> c3_2(a70,a72) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ70_spl
| ~ c3_2(a70,a72) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( ~ sQ8_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f178,f508,f258]) ).
fof(f512,definition,
( sQ71_spl
<=> c2_2(a70,a71) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ71_spl
| ~ c2_2(a70,a71) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ8_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f179,f512,f258]) ).
fof(f516,definition,
( sQ72_spl
<=> c3_2(a85,a87) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ8_spl
| ~ sQ21_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f180,f516,f312,f258]) ).
fof(f520,definition,
( sQ73_spl
<=> c3_2(a85,a86) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ8_spl
| ~ sQ21_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f181,f520,f312,f258]) ).
fof(f524,definition,
( sQ74_spl
<=> c1_2(a85,a86) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ8_spl
| ~ sQ21_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f182,f524,f312,f258]) ).
fof(f528,definition,
! [X0] :
( sQ75_spl
<=> ( c2_2(a88,X0)
| c5_2(a88,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( sQ6_spl
| sQ75_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f184,f284,f528,f250]) ).
fof(f532,definition,
! [X0] :
( sQ76_spl
<=> ( ~ c5_2(a101,X0)
| ~ c2_2(a101,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f535,definition,
( sQ77_spl
<=> ndr1_1(a101) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ77_spl
| ~ ndr1_1(a101) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( sQ2_spl
| ~ sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f186,f532,f535,f234]) ).
fof(f539,definition,
! [X0] :
( sQ78_spl
<=> ( c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f540,plain,
! [X0] :
( ~ sQ78_spl
| c1_2(a97,X0)
| c2_2(a97,X0)
| c3_2(a97,X0) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( sQ3_spl
| sQ78_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f188,f268,f539,f238]) ).
fof(f543,definition,
! [X0,X1] :
( sQ79_spl
<=> ( c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f544,plain,
! [X0,X1] :
( ~ sQ79_spl
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,definition,
( sQ80_spl
<=> ndr1_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( sQ1_spl
| sQ80_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f190,f543,f227,f546,f230]) ).
fof(f550,definition,
! [X0] :
( sQ81_spl
<=> ( c3_2(a101,X0)
| ~ c5_2(a101,X0)
| ~ c1_2(a101,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( sQ2_spl
| ~ sQ77_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f192,f550,f535,f234]) ).
fof(f554,definition,
! [X0] :
( sQ82_spl
<=> ( c5_2(a95,X0)
| ~ c3_2(a95,X0)
| ~ c1_2(a95,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ8_spl
| ~ sQ20_spl
| sQ82_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f194,f242,f554,f308,f258]) ).
fof(f558,definition,
( sQ83_spl
<=> c3_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( sQ1_spl
| sQ83_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f196,f543,f227,f558,f230]) ).
fof(f562,definition,
( sQ84_spl
<=> c3_1(a77) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( sQ1_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f198,f543,f227,f562,f230]) ).
fof(f566,definition,
! [X0] :
( sQ85_spl
<=> ( ~ c3_2(a102,X0)
| ~ c5_2(a102,X0)
| ~ c1_2(a102,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( sQ1_spl
| ~ sQ17_spl
| sQ85_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f200,f234,f566,f296,f230]) ).
fof(f570,definition,
! [X0,X1] :
( sQ86_spl
<=> ( c1_1(X0)
| c4_2(X0,a81)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ45_spl
| ~ sQ0_spl
| sQ86_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f202,f254,f570,f227,f408]) ).
fof(f574,definition,
! [X0,X1] :
( sQ87_spl
<=> ( c1_1(X0)
| c1_2(X0,a81)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ45_spl
| ~ sQ0_spl
| sQ87_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f204,f254,f574,f227,f408]) ).
fof(f578,definition,
( sQ88_spl
<=> c5_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ1_spl
| ~ sQ88_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f206,f543,f227,f578,f230]) ).
fof(f582,definition,
( sQ89_spl
<=> c2_2(a77,a79) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ1_spl
| ~ sQ89_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f208,f543,f227,f582,f230]) ).
fof(f586,definition,
( sQ90_spl
<=> c5_2(a77,a78) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( sQ1_spl
| ~ sQ90_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f210,f543,f227,f586,f230]) ).
fof(f590,definition,
( sQ91_spl
<=> c3_2(a77,a78) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( sQ1_spl
| ~ sQ91_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f212,f543,f227,f590,f230]) ).
fof(f594,definition,
! [X0] :
( sQ92_spl
<=> ( ~ c2_2(a100,X0)
| ~ c3_2(a100,X0)
| ~ c4_2(a100,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f597,definition,
( sQ93_spl
<=> ndr1_1(a100) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ19_spl
| ~ sQ93_spl
| sQ92_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f214,f238,f594,f597,f304]) ).
fof(f601,definition,
! [X0,X1] :
( sQ94_spl
<=> ( c1_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c5_2(X0,a81)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ45_spl
| ~ sQ0_spl
| sQ94_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f216,f254,f601,f227,f408]) ).
fof(f605,definition,
! [X0,X1] :
( sQ95_spl
<=> ( c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ1_spl
| ~ sQ45_spl
| ~ sQ0_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f218,f605,f227,f408,f230]) ).
fof(f609,definition,
! [X0,X1] :
( sQ96_spl
<=> ( c2_1(X0)
| c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ19_spl
| ~ sQ0_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f220,f609,f227,f304]) ).
fof(f613,definition,
! [X0,X1] :
( sQ97_spl
<=> ( c1_2(X0,a92)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f222,f613,f250,f246,f227]) ).
fof(f617,definition,
! [X0,X1] :
( sQ98_spl
<=> ( c5_2(X0,a92)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f224,f617,f250,f246,f227]) ).
fof(f621,definition,
! [X0,X1] :
( sQ99_spl
<=> ( c4_1(X0)
| c1_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f226,f621,f227,f258,f312]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ16_spl
| sQ19_spl
| ~ sQ21_spl
| sQ24_spl
| ~ sQ25_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ45_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ77_spl
| sQ78_spl
| sQ79_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN521-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:01:13 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.48 % Elapsed time: 0.098323 seconds
% 0.13/0.48 % CPU time: 0.078123 seconds
% 0.13/0.48 % Total memory used: 1.314 MB
% 0.13/0.48 % Net memory used: 1.312 MB
%------------------------------------------------------------------------------