%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN528-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:19:58 PM UTC 2026
% Result : Satisfiable 0.13s 0.40s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ssSkC6
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( c4_0
| ndr1_0
| ~ ssSkC6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( c4_0
| ndr1_0
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ndr1_0
| ~ ssSkC3
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c5_0
| ndr1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( c1_0
| c4_0
| c3_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC6
| c4_1(a312) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC5
| ndr1_1(a307) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U] :
( ssSkP3(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ssSkC2
| c3_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U] :
( ssSkP2(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c4_0
| c3_1(a313)
| ~ ssSkC6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c4_0
| c5_1(a313)
| ~ ssSkC6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c4_0
| ndr1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c4_0
| ndr1_1(a309)
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c4_0
| c2_1(a309)
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c4_0
| c3_1(a309)
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c1_0
| ndr1_0
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c3_0
| ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c4_1(a296)
| ~ ssSkC3
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c3_1(a296)
| ~ ssSkC3
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c4_0
| ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c3_0
| ndr1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c5_0
| ndr1_1(a286)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c5_0
| ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ssSkC6
| ~ c3_1(a312) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ssSkC5
| c5_2(a307,a308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ssSkC5
| c3_2(a307,a308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ssSkC5
| c4_2(a307,a308) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ssSkC5
| ~ c3_1(a307) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ssSkC5
| ~ c5_1(a307) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [U] :
( ssSkP3(U)
| c5_2(U,a305) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U] :
( ssSkP3(U)
| c3_2(U,a305) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U] :
( ssSkP3(U)
| c4_2(U,a305) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ssSkC3
| ~ c2_1(a295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ssSkC3
| ~ c1_1(a295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ssSkC2
| ~ c1_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ssSkC2
| ~ c4_1(a294) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U] :
( ssSkP2(U)
| c4_2(U,a289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U] :
( ssSkP1(U)
| c4_2(U,a284) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c4_0
| c2_1(a311)
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c4_0
| c3_2(a309,a310)
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c5_1(a304)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c1_0
| c5_1(a302)
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( c1_0
| c2_1(a302)
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c3_0
| ndr1_1(a297)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c3_0
| c2_1(a297)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( c4_0
| c2_1(a293)
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( c4_0
| c5_1(a293)
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( c5_0
| ~ c2_1(a286)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( c5_0
| c2_1(a277)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [U] :
( ssSkP2(U)
| ~ c2_2(U,a289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( ssSkP2(U)
| ~ c5_2(U,a289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c3_2(U,a284) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c1_2(U,a284) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c2_2(U,a283) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c4_2(U,a283) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( c4_0
| ~ c5_0
| ~ c3_1(a311) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( c4_0
| ~ c2_2(a309,a310)
| ~ ssSkC5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( c3_0
| c2_2(a297,a298)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( c3_0
| c3_2(a297,a298)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U] :
( c1_0
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( c3_0
| ~ c5_0
| ~ c1_1(a288) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( c5_0
| ~ c1_2(a286,a287)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( c5_0
| ~ c4_2(a286,a287)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( c5_0
| ~ c1_0
| ~ c4_1(a277) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c2_2(a297,a299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c3_2(a297,a299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c4_2(a297,a299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c1_2(a297,a298) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c1_0
| ~ ndr1_0
| ~ c4_2(U,a290)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( c1_0
| ~ ndr1_0
| ~ c5_2(U,a290)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( ssSkC1
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( ndr1_1(U)
| ~ c2_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( ssSkC1
| c1_2(U,a285)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( ssSkC1
| c3_2(U,a285)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( ndr1_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U] :
( ssSkC3
| c5_2(a295,U)
| c4_2(a295,U)
| ~ ndr1_1(a295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U] :
( c5_0
| c2_2(a286,U)
| c5_2(a286,U)
| ~ ndr1_1(a286)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( c4_2(U,a279)
| ~ c2_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U] :
( ssSkC4
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U] :
( ssSkC1
| ~ ndr1_0
| ~ c2_2(U,a285)
| ~ ssSkP1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U] :
( c4_2(U,a306)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U] :
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_2(U,a279)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U] :
( ssSkC4
| c4_2(U,a303)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U] :
( ssSkC4
| c2_2(U,a303)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U] :
( ~ c3_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ c2_2(U,a306)
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U] :
( c4_0
| c5_2(a311,U)
| ~ c5_0
| ~ ndr1_1(a311)
| ~ c2_2(a311,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U] :
( ssSkC4
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ c5_2(U,a303) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [U] :
( c3_1(U)
| c1_1(U)
| ~ c3_0
| ~ c3_1(a292)
| ~ ndr1_0
| ~ c4_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [U] :
( c1_0
| ~ c4_0
| ~ ndr1_1(a302)
| ~ c5_2(a302,U)
| ~ c2_2(a302,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [U] :
( c3_0
| c2_2(a288,U)
| c4_2(a288,U)
| c1_2(a288,U)
| ~ c5_0
| ~ ndr1_1(a288) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [U] :
( c1_2(a304,U)
| ~ c5_0
| ~ ndr1_1(a304)
| ~ c4_2(a304,U)
| ~ c5_2(a304,U)
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [U,V] :
( ndr1_1(a300)
| c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [U,V] :
( c5_1(a300)
| c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [U,V] :
( ndr1_1(a281)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
! [U,V] :
( c5_1(a281)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
! [U,V] :
( c3_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
! [U,V] :
( ~ c4_1(a281)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
! [U,V] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c1_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [U,V] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c3_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
! [U,V] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c4_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
! [U,V] :
( ~ c2_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,negated_conjecture,
! [U,V] :
( ~ c5_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
! [U,V] :
( c5_0
| c4_2(U,a280)
| c5_2(U,V)
| c3_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
! [U,V] :
( c5_0
| c5_2(U,a280)
| c5_2(U,V)
| c3_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
! [U,V,W] :
( ndr1_1(W)
| c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
! [U,V,W] :
( ssSkC0
| c2_2(U,V)
| ~ ndr1_0
| ~ c2_2(U,a278)
| ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
! [U,V,W] :
( ssSkC0
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a278)
| ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
! [U,V,W] :
( ssSkC0
| c2_2(U,V)
| ~ ndr1_0
| ~ c4_2(U,a278)
| ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,negated_conjecture,
! [U,V] :
( c4_2(a292,V)
| c3_2(a292,V)
| c3_1(U)
| c1_1(U)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c2_2(a292,V)
| ~ ndr1_0
| ~ c4_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,negated_conjecture,
! [U,V,W] :
( c1_2(W,a291)
| c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,negated_conjecture,
! [U,V] :
( c2_2(a292,V)
| c3_1(U)
| c1_1(U)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c3_2(a292,V)
| ~ c5_2(a292,V)
| ~ ndr1_0
| ~ c4_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,negated_conjecture,
! [U,V,W] :
( c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ c2_2(W,a291)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,negated_conjecture,
! [U,V,W] :
( c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ c5_2(W,a291)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,plain,
( ssSkC6
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f123,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f124,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f125,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
( c4_0
| ndr1_0
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
( c4_0
| ndr1_0
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f128,plain,
( ndr1_0
| ~ ssSkC3
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f129,plain,
( c5_0
| ndr1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f130,plain,
( c1_0
| c4_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f131,plain,
( ssSkC6
| c4_1(a312) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f132,plain,
( ssSkC5
| ndr1_1(a307) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f133,plain,
! [X0] :
( ssSkP3(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f134,plain,
( ssSkC2
| c3_1(a294) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f135,plain,
! [X0] :
( ssSkP2(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f136,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f137,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f138,plain,
( c4_0
| c3_1(a313)
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f139,plain,
( c4_0
| c5_1(a313)
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f140,plain,
( c4_0
| ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f141,plain,
( c4_0
| ndr1_1(a309)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f142,plain,
( c4_0
| c2_1(a309)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f143,plain,
( c4_0
| c3_1(a309)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f144,plain,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f145,plain,
( c1_0
| ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f146,plain,
( c3_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f147,plain,
( c4_1(a296)
| ~ ssSkC3
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f148,plain,
( c3_1(a296)
| ~ ssSkC3
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f149,plain,
( c4_0
| ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f150,plain,
( c3_0
| ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f151,plain,
( c5_0
| ndr1_1(a286)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f152,plain,
( c5_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f153,plain,
( ssSkC6
| ~ c3_1(a312) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f154,plain,
( ssSkC5
| c5_2(a307,a308) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f155,plain,
( ssSkC5
| c3_2(a307,a308) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f156,plain,
( ssSkC5
| c4_2(a307,a308) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f157,plain,
( ssSkC5
| ~ c3_1(a307) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f158,plain,
( ssSkC5
| ~ c5_1(a307) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f159,plain,
! [X0] :
( ssSkP3(X0)
| c5_2(X0,a305) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f160,plain,
! [X0] :
( ssSkP3(X0)
| c3_2(X0,a305) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f161,plain,
! [X0] :
( ssSkP3(X0)
| c4_2(X0,a305) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f162,plain,
( ssSkC3
| ~ c2_1(a295) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f163,plain,
( ssSkC3
| ~ c1_1(a295) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f164,plain,
( ssSkC2
| ~ c1_1(a294) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f165,plain,
( ssSkC2
| ~ c4_1(a294) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f166,plain,
! [X0] :
( ssSkP2(X0)
| c4_2(X0,a289) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f167,plain,
! [X0] :
( ssSkP1(X0)
| c4_2(X0,a284) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f168,plain,
( c4_0
| c2_1(a311)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f169,plain,
( c4_0
| c3_2(a309,a310)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f170,plain,
( c5_1(a304)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f171,plain,
( c1_0
| c5_1(a302)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f172,plain,
( c1_0
| c2_1(a302)
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f173,plain,
( c3_0
| ndr1_1(a297)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f174,plain,
( c3_0
| c2_1(a297)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f175,plain,
( c4_0
| c2_1(a293)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f176,plain,
( c4_0
| c5_1(a293)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f177,plain,
( c5_0
| ~ c2_1(a286)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f178,plain,
( c5_0
| c2_1(a277)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f179,plain,
! [X0] :
( ssSkP2(X0)
| ~ c2_2(X0,a289) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f180,plain,
! [X0] :
( ssSkP2(X0)
| ~ c5_2(X0,a289) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f181,plain,
! [X0] :
( ssSkP1(X0)
| ~ c3_2(X0,a284) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f182,plain,
! [X0] :
( ssSkP1(X0)
| ~ c1_2(X0,a284) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f183,plain,
! [X0] :
( ssSkP0(X0)
| ~ c2_2(X0,a283) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f184,plain,
! [X0] :
( ssSkP0(X0)
| ~ c4_2(X0,a283) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f185,plain,
( c4_0
| ~ c5_0
| ~ c3_1(a311) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f186,plain,
( c4_0
| ~ c2_2(a309,a310)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f187,plain,
( c3_0
| c2_2(a297,a298)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f188,plain,
( c3_0
| c3_2(a297,a298)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f189,plain,
( c1_0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f190,plain,
! [X0] :
( c1_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( c3_0
| ~ c5_0
| ~ c1_1(a288) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f192,plain,
( c5_0
| ~ c1_2(a286,a287)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f193,plain,
( c5_0
| ~ c4_2(a286,a287)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f194,plain,
( c5_0
| ~ c1_0
| ~ c4_1(a277) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f195,plain,
( c3_0
| ~ c1_0
| ~ c2_2(a297,a299) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f196,plain,
( c3_0
| ~ c1_0
| ~ c3_2(a297,a299) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f197,plain,
( c3_0
| ~ c1_0
| ~ c4_2(a297,a299) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f198,plain,
( c3_0
| ~ c1_0
| ~ c1_2(a297,a298) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f199,plain,
( c1_0
| ~ ndr1_0
| ! [U] :
( ~ c4_2(U,a290)
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f200,plain,
! [X0] :
( c1_0
| ~ ndr1_0
| ~ c4_2(X0,a290)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( c1_0
| ~ ndr1_0
| ! [U] :
( ~ c5_2(U,a290)
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f202,plain,
! [X0] :
( c1_0
| ~ ndr1_0
| ~ c5_2(X0,a290)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( ssSkC1
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f204,plain,
! [X0] :
( ssSkC1
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
! [X0] :
( ndr1_1(X0)
| ~ c2_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f206,plain,
( ssSkC1
| ! [U] :
( c1_2(U,a285)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f207,plain,
! [X0] :
( ssSkC1
| c1_2(X0,a285)
| ~ ndr1_0
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
( ssSkC1
| ! [U] :
( c3_2(U,a285)
| ~ ndr1_0
| ~ ssSkP1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f209,plain,
! [X0] :
( ssSkC1
| c3_2(X0,a285)
| ~ ndr1_0
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [X0] :
( ndr1_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f211,plain,
( ssSkC3
| ! [U] :
( c5_2(a295,U)
| c4_2(a295,U)
| ~ ndr1_1(a295) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f212,plain,
! [X0] :
( ssSkC3
| c5_2(a295,X0)
| c4_2(a295,X0)
| ~ ndr1_1(a295) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( c5_0
| ! [U] :
( c2_2(a286,U)
| c5_2(a286,U)
| ~ ndr1_1(a286)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f214,plain,
! [X0] :
( c5_0
| c2_2(a286,X0)
| c5_2(a286,X0)
| ~ ndr1_1(a286)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0] :
( c4_2(X0,a279)
| ~ c2_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f216,plain,
( ssSkC4
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f217,plain,
! [X0] :
( ssSkC4
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( ssSkC1
| ~ ndr1_0
| ! [U] :
( ~ c2_2(U,a285)
| ~ ssSkP1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f219,plain,
! [X0] :
( ssSkC1
| ~ ndr1_0
| ~ c2_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
! [X0] :
( c4_2(X0,a306)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f221,plain,
( ~ c2_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_2(U,a279)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f222,plain,
! [X0] :
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_2(X0,a279)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( ssSkC4
| ! [U] :
( c4_2(U,a303)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f224,plain,
! [X0] :
( ssSkC4
| c4_2(X0,a303)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( ssSkC4
| ! [U] :
( c2_2(U,a303)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f226,plain,
! [X0] :
( ssSkC4
| c2_2(X0,a303)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( ~ c3_0
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c2_2(U,a306)
| ~ ssSkP3(U) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f228,plain,
! [X0] :
( ~ c3_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c2_2(X0,a306)
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( c4_0
| ! [U] :
( c5_2(a311,U)
| ~ c5_0
| ~ ndr1_1(a311)
| ~ c2_2(a311,U) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f230,plain,
! [X0] :
( c4_0
| c5_2(a311,X0)
| ~ c5_0
| ~ ndr1_1(a311)
| ~ c2_2(a311,X0) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( ssSkC4
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c5_1(U)
| ~ c5_2(U,a303) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f232,plain,
! [X0] :
( ssSkC4
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c5_2(X0,a303) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
! [X0] :
( c3_1(X0)
| c1_1(X0)
| ~ c3_0
| ~ c3_1(a292)
| ~ ndr1_0
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f234,plain,
( c1_0
| ~ c4_0
| ~ ndr1_1(a302)
| ! [U] :
( ~ c5_2(a302,U)
| ~ c2_2(a302,U) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f235,plain,
! [X0] :
( c1_0
| ~ c4_0
| ~ ndr1_1(a302)
| ~ c5_2(a302,X0)
| ~ c2_2(a302,X0) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
( c3_0
| ! [U] :
( c2_2(a288,U)
| c4_2(a288,U)
| c1_2(a288,U)
| ~ c5_0
| ~ ndr1_1(a288) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f237,plain,
! [X0] :
( c3_0
| c2_2(a288,X0)
| c4_2(a288,X0)
| c1_2(a288,X0)
| ~ c5_0
| ~ ndr1_1(a288) ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
! [X0] :
( c1_2(a304,X0)
| ~ c5_0
| ~ ndr1_1(a304)
| ~ c4_2(a304,X0)
| ~ c5_2(a304,X0)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f239,plain,
( ndr1_1(a300)
| ! [U] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f240,plain,
! [X0,X1] :
( ndr1_1(a300)
| c1_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( c5_1(a300)
| ! [U] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f242,plain,
! [X0,X1] :
( c5_1(a300)
| c1_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( ndr1_1(a281)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f244,plain,
! [X0,X1] :
( ndr1_1(a281)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( c5_1(a281)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f246,plain,
! [X0,X1] :
( c5_1(a281)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
( c3_2(a281,a282)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f248,plain,
! [X0,X1] :
( c3_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( ~ c4_1(a281)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f250,plain,
! [X0,X1] :
( ~ c4_1(a281)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
! [U] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c1_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c1_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f252,plain,
! [X0,X1] :
( c1_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ c1_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
! [U] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c3_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c1_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f254,plain,
! [X0,X1] :
( c1_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ c3_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
! [U] :
( c1_1(U)
| c4_1(U)
| ~ c4_0
| ~ c4_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c1_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f256,plain,
! [X0,X1] :
( c1_1(X0)
| c4_1(X0)
| ~ c4_0
| ~ c4_2(a300,a301)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( ~ c2_2(a281,a282)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f258,plain,
! [X0,X1] :
( ~ c2_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f259,plain,
( ~ c5_2(a281,a282)
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f260,plain,
! [X0,X1] :
( ~ c5_2(a281,a282)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( c5_0
| ! [U] :
( c4_2(U,a280)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f262,plain,
! [X0,X1] :
( c5_0
| c4_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( c5_0
| ! [U] :
( c5_2(U,a280)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f264,plain,
! [X0,X1] :
( c5_0
| c5_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
! [W] :
( ndr1_1(W)
| ! [U,V] :
( c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ndr1_1(X2)
| c5_2(X0,X1)
| ~ c1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( ssSkC0
| ! [U,V] :
( c2_2(U,V)
| ~ ndr1_0
| ~ c2_2(U,a278)
| ! [W] :
( ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f114]) ).
fof(f268,plain,
! [X0,X1,X2] :
( ssSkC0
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c2_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( ssSkC0
| ! [U,V] :
( c2_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a278)
| ! [W] :
( ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ssSkC0
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c5_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
( ssSkC0
| ! [U,V] :
( c2_2(U,V)
| ~ ndr1_0
| ~ c4_2(U,a278)
| ! [W] :
( ~ c5_2(U,W)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ssSkC0
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c4_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
! [V] :
( c4_2(a292,V)
| c3_2(a292,V)
| ! [U] :
( c3_1(U)
| c1_1(U)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c2_2(a292,V)
| ~ ndr1_0
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f274,plain,
! [X0,X1] :
( c4_2(a292,X1)
| c3_2(a292,X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c2_2(a292,X1)
| ~ ndr1_0
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
! [W] :
( c1_2(W,a291)
| ! [U,V] :
( c5_2(U,V)
| ~ c1_0
| ~ c2_1(W)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f276,plain,
! [X0,X1,X2] :
( c1_2(X2,a291)
| c5_2(X0,X1)
| ~ c1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f277,plain,
! [V] :
( c2_2(a292,V)
| ! [U] :
( c3_1(U)
| c1_1(U)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c3_2(a292,V)
| ~ c5_2(a292,V)
| ~ ndr1_0
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f278,plain,
! [X0,X1] :
( c2_2(a292,X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_0
| ~ ndr1_1(a292)
| ~ c3_2(a292,X1)
| ~ c5_2(a292,X1)
| ~ ndr1_0
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f279,plain,
! [U,V] :
( c5_2(U,V)
| ~ c1_0
| ! [W] :
( ~ c2_1(W)
| ~ c2_2(W,a291)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f280,plain,
! [X0,X1,X2] :
( c5_2(X0,X1)
| ~ c1_0
| ~ c2_1(X2)
| ~ c2_2(X2,a291)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
! [U,V] :
( c5_2(U,V)
| ~ c1_0
| ! [W] :
( ~ c2_1(W)
| ~ c5_2(W,a291)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f282,plain,
! [X0,X1,X2] :
( c5_2(X0,X1)
| ~ c1_0
| ~ c2_1(X2)
| ~ c5_2(X2,a291)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f283,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ1_spl
<=> ssSkC6 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ1_spl
| ssSkC6 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f122,f283,f286]) ).
fof(f290,definition,
( sQ2_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ2_spl
| ssSkC5 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f123,f283,f290]) ).
fof(f294,definition,
( sQ3_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ3_spl
| ssSkC3 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f124,f283,f294]) ).
fof(f298,definition,
( sQ4_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( sQ4_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f125,f283,f298]) ).
fof(f302,definition,
( sQ5_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ5_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f126,f286,f283,f302]) ).
fof(f306,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f127,f290,f283,f302]) ).
fof(f307,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f128,f298,f294,f283]) ).
fof(f308,definition,
( sQ6_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ6_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ7_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ7_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f129,f308,f283,f311]) ).
fof(f315,definition,
( sQ8_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ8_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ9_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ9_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ9_spl
| sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f130,f315,f302,f318]) ).
fof(f322,definition,
( sQ10_spl
<=> c4_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ10_spl
| c4_1(a312) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f131,f322,f286]) ).
fof(f326,definition,
( sQ11_spl
<=> ndr1_1(a307) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ11_spl
| ndr1_1(a307) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f132,f326,f290]) ).
fof(f330,definition,
( sQ12_spl
<=> c3_1(a294) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ12_spl
| c3_1(a294) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f134,f330,f298]) ).
fof(f334,definition,
( sQ13_spl
<=> c3_1(a313) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ13_spl
| c3_1(a313) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ5_spl
| sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f138,f286,f334,f302]) ).
fof(f338,definition,
( sQ14_spl
<=> c5_1(a313) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ14_spl
| c5_1(a313) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ5_spl
| sQ14_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f139,f286,f338,f302]) ).
fof(f342,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f140,f311,f283,f302]) ).
fof(f343,definition,
( sQ15_spl
<=> ndr1_1(a309) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ15_spl
| ndr1_1(a309) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ5_spl
| sQ15_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f141,f290,f343,f302]) ).
fof(f347,definition,
( sQ16_spl
<=> c2_1(a309) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ16_spl
| c2_1(a309) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ16_spl
| ~ c2_1(a309) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ5_spl
| sQ16_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f142,f290,f347,f302]) ).
fof(f351,definition,
( sQ17_spl
<=> c3_1(a309) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ17_spl
| c3_1(a309) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( sQ5_spl
| sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f143,f290,f351,f302]) ).
fof(f355,definition,
( sQ18_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( sQ18_spl
| ~ ssSkC4 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ0_spl
| ~ sQ7_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f144,f355,f311,f283]) ).
fof(f359,plain,
( sQ9_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f145,f302,f283,f318]) ).
fof(f360,plain,
( sQ8_spl
| sQ0_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f146,f318,f283,f315]) ).
fof(f361,definition,
( sQ19_spl
<=> c4_1(a296) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ19_spl
| c4_1(a296) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f147,f298,f294,f361]) ).
fof(f365,definition,
( sQ20_spl
<=> c3_1(a296) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ20_spl
| c3_1(a296) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f148,f298,f294,f365]) ).
fof(f369,definition,
( sQ21_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ21_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f149,f369,f283,f302]) ).
fof(f373,plain,
( sQ8_spl
| sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f150,f311,f283,f315]) ).
fof(f374,definition,
( sQ22_spl
<=> ndr1_1(a286) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ22_spl
| ndr1_1(a286) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ22_spl
| ~ ndr1_1(a286) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( sQ7_spl
| sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f151,f308,f374,f311]) ).
fof(f378,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f152,f318,f283,f311]) ).
fof(f379,definition,
( sQ23_spl
<=> c3_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( sQ23_spl
| ~ c3_1(a312) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f153,f379,f286]) ).
fof(f383,definition,
( sQ24_spl
<=> c5_2(a307,a308) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ24_spl
| c5_2(a307,a308) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ2_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f154,f383,f290]) ).
fof(f387,definition,
( sQ25_spl
<=> c3_2(a307,a308) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ25_spl
| c3_2(a307,a308) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ2_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f155,f387,f290]) ).
fof(f391,definition,
( sQ26_spl
<=> c4_2(a307,a308) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ26_spl
| c4_2(a307,a308) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ2_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f156,f391,f290]) ).
fof(f395,definition,
( sQ27_spl
<=> c3_1(a307) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ27_spl
| ~ c3_1(a307) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ2_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f157,f395,f290]) ).
fof(f399,definition,
( sQ28_spl
<=> c5_1(a307) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ28_spl
| ~ c5_1(a307) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ2_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f158,f399,f290]) ).
fof(f403,definition,
( sQ29_spl
<=> c2_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ29_spl
| ~ c2_1(a295) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ3_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f162,f403,f294]) ).
fof(f407,definition,
( sQ30_spl
<=> c1_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ30_spl
| c1_1(a295) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ30_spl
| ~ c1_1(a295) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ3_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f163,f407,f294]) ).
fof(f411,definition,
( sQ31_spl
<=> c1_1(a294) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ31_spl
| ~ c1_1(a294) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ4_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f164,f411,f298]) ).
fof(f415,definition,
( sQ32_spl
<=> c4_1(a294) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ32_spl
| ~ c4_1(a294) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ4_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f165,f415,f298]) ).
fof(f419,definition,
( sQ33_spl
<=> c2_1(a311) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ33_spl
| c2_1(a311) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ33_spl
| ~ c2_1(a311) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ5_spl
| sQ33_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f168,f311,f419,f302]) ).
fof(f423,definition,
( sQ34_spl
<=> c3_2(a309,a310) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ34_spl
| c3_2(a309,a310) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ5_spl
| sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f169,f290,f423,f302]) ).
fof(f427,definition,
( sQ35_spl
<=> c5_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ35_spl
| c5_1(a304) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ35_spl
| ~ c5_1(a304) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ35_spl
| ~ sQ7_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f170,f355,f311,f427]) ).
fof(f431,definition,
( sQ36_spl
<=> c5_1(a302) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ36_spl
| c5_1(a302) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ36_spl
| ~ c5_1(a302) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ9_spl
| sQ36_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f171,f302,f431,f318]) ).
fof(f435,definition,
( sQ37_spl
<=> c2_1(a302) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ37_spl
| c2_1(a302) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ37_spl
| ~ c2_1(a302) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ9_spl
| sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f172,f302,f435,f318]) ).
fof(f439,definition,
( sQ38_spl
<=> ndr1_1(a297) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ38_spl
| ndr1_1(a297) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ8_spl
| sQ38_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f173,f318,f439,f315]) ).
fof(f443,definition,
( sQ39_spl
<=> c2_1(a297) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ39_spl
| c2_1(a297) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ39_spl
| ~ c2_1(a297) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ8_spl
| sQ39_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f174,f318,f443,f315]) ).
fof(f447,definition,
( sQ40_spl
<=> c2_1(a293) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ40_spl
| c2_1(a293) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ40_spl
| ~ c2_1(a293) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ5_spl
| sQ40_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f175,f369,f447,f302]) ).
fof(f451,definition,
( sQ41_spl
<=> c5_1(a293) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ41_spl
| c5_1(a293) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ41_spl
| ~ c5_1(a293) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ5_spl
| sQ41_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f176,f369,f451,f302]) ).
fof(f455,definition,
( sQ42_spl
<=> c2_1(a286) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ42_spl
| ~ c2_1(a286) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( sQ7_spl
| ~ sQ42_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f177,f308,f455,f311]) ).
fof(f459,definition,
( sQ43_spl
<=> c2_1(a277) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ43_spl
| c2_1(a277) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( sQ43_spl
| ~ c2_1(a277) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ7_spl
| sQ43_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f178,f318,f459,f311]) ).
fof(f463,definition,
( sQ44_spl
<=> c3_1(a311) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( sQ44_spl
| ~ c3_1(a311) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ5_spl
| ~ sQ7_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f185,f463,f311,f302]) ).
fof(f467,definition,
( sQ45_spl
<=> c2_2(a309,a310) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ45_spl
| ~ c2_2(a309,a310) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ5_spl
| ~ sQ45_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f186,f290,f467,f302]) ).
fof(f471,definition,
( sQ46_spl
<=> c2_2(a297,a298) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ46_spl
| c2_2(a297,a298) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ8_spl
| sQ46_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f187,f318,f471,f315]) ).
fof(f475,definition,
( sQ47_spl
<=> c3_2(a297,a298) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ47_spl
| c3_2(a297,a298) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ8_spl
| sQ47_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f188,f318,f475,f315]) ).
fof(f479,definition,
! [X0] :
( sQ48_spl
<=> ( ndr1_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f480,plain,
! [X0] :
( ~ sQ48_spl
| ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ9_spl
| ~ sQ0_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f190,f479,f283,f318]) ).
fof(f483,definition,
( sQ49_spl
<=> c1_1(a288) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ49_spl
| ~ c1_1(a288) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ8_spl
| ~ sQ7_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f191,f483,f311,f315]) ).
fof(f487,definition,
( sQ50_spl
<=> c1_2(a286,a287) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ50_spl
| ~ c1_2(a286,a287) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( sQ7_spl
| ~ sQ50_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f192,f308,f487,f311]) ).
fof(f491,definition,
( sQ51_spl
<=> c4_2(a286,a287) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ51_spl
| ~ c4_2(a286,a287) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( sQ7_spl
| ~ sQ51_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f193,f308,f491,f311]) ).
fof(f495,definition,
( sQ52_spl
<=> c4_1(a277) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ52_spl
| ~ c4_1(a277) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ7_spl
| ~ sQ9_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f194,f495,f318,f311]) ).
fof(f499,definition,
( sQ53_spl
<=> c2_2(a297,a299) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ53_spl
| ~ c2_2(a297,a299) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ8_spl
| ~ sQ9_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f195,f499,f318,f315]) ).
fof(f503,definition,
( sQ54_spl
<=> c3_2(a297,a299) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ54_spl
| ~ c3_2(a297,a299) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ8_spl
| ~ sQ9_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f196,f503,f318,f315]) ).
fof(f507,definition,
( sQ55_spl
<=> c4_2(a297,a299) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ55_spl
| ~ c4_2(a297,a299) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( sQ8_spl
| ~ sQ9_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f197,f507,f318,f315]) ).
fof(f511,definition,
( sQ56_spl
<=> c1_2(a297,a298) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ56_spl
| ~ c1_2(a297,a298) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ8_spl
| ~ sQ9_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f198,f511,f318,f315]) ).
fof(f515,definition,
! [X0] :
( sQ57_spl
<=> ( ~ c4_2(X0,a290)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f516,plain,
! [X0] :
( ~ sQ57_spl
| ~ c4_2(X0,a290)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ9_spl
| ~ sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f200,f515,f283,f318]) ).
fof(f519,definition,
! [X0] :
( sQ58_spl
<=> ( ~ c5_2(X0,a290)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ58_spl
| ~ c5_2(X0,a290)
| ~ ssSkP2(X0) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ9_spl
| ~ sQ0_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f202,f519,f283,f318]) ).
fof(f523,definition,
! [X0] :
( sQ59_spl
<=> ( ndr1_1(X0)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f524,plain,
! [X0] :
( ~ sQ59_spl
| ndr1_1(X0)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f204,f523,f283,f308]) ).
fof(f527,definition,
( sQ60_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f530,definition,
! [X0] :
( sQ61_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ61_spl
| ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sQ61_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f205,f527,f530,f283,f369]) ).
fof(f534,definition,
! [X0] :
( sQ62_spl
<=> ( c1_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f535,plain,
! [X0] :
( ~ sQ62_spl
| c1_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f207,f534,f283,f308]) ).
fof(f538,definition,
! [X0] :
( sQ63_spl
<=> ( c3_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f539,plain,
! [X0] :
( ~ sQ63_spl
| c3_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f209,f538,f283,f308]) ).
fof(f542,definition,
! [X0] :
( sQ64_spl
<=> ( ndr1_1(X0)
| ~ c4_1(X0)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f543,plain,
! [X0] :
( ~ sQ64_spl
| ndr1_1(X0)
| ~ c4_1(X0)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f210,f542,f283,f315]) ).
fof(f546,definition,
( sQ65_spl
<=> ndr1_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ65_spl
| ndr1_1(a295) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f548,plain,
( sQ65_spl
| ~ ndr1_1(a295) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
! [X0] :
( sQ66_spl
<=> ( c5_2(a295,X0)
| c4_2(a295,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f550,plain,
! [X0] :
( ~ sQ66_spl
| c5_2(a295,X0)
| c4_2(a295,X0) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( sQ3_spl
| sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f212,f546,f549,f294]) ).
fof(f553,definition,
! [X0] :
( sQ67_spl
<=> ( c2_2(a286,X0)
| c5_2(a286,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f554,plain,
! [X0] :
( ~ sQ67_spl
| c2_2(a286,X0)
| c5_2(a286,X0) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( sQ7_spl
| sQ67_spl
| ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f214,f308,f374,f553,f311]) ).
fof(f557,definition,
! [X0] :
( sQ68_spl
<=> ( c4_2(X0,a279)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f558,plain,
! [X0] :
( ~ sQ68_spl
| c4_2(X0,a279)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sQ68_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f215,f527,f557,f283,f369]) ).
fof(f561,definition,
! [X0] :
( sQ69_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f562,plain,
! [X0] :
( ~ sQ69_spl
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( sQ18_spl
| ~ sQ0_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f217,f561,f283,f355]) ).
fof(f565,definition,
! [X0] :
( sQ70_spl
<=> ( ~ c2_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ70_spl
| ~ c2_2(X0,a285)
| ~ ssSkP1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( sQ6_spl
| ~ sQ0_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f219,f565,f283,f308]) ).
fof(f569,definition,
! [X0] :
( sQ71_spl
<=> ( c4_2(X0,a306)
| ~ c4_1(X0)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f570,plain,
! [X0] :
( ~ sQ71_spl
| c4_2(X0,a306)
| ~ c4_1(X0)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f220,f569,f283,f315]) ).
fof(f573,definition,
! [X0] :
( sQ72_spl
<=> ( ~ c2_1(X0)
| ~ c3_2(X0,a279) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f574,plain,
! [X0] :
( ~ sQ72_spl
| ~ c2_1(X0)
| ~ c3_2(X0,a279) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| sQ72_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f222,f527,f573,f283,f369]) ).
fof(f577,definition,
! [X0] :
( sQ73_spl
<=> ( c4_2(X0,a303)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f578,plain,
! [X0] :
( ~ sQ73_spl
| c4_2(X0,a303)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( sQ18_spl
| ~ sQ0_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f224,f577,f283,f355]) ).
fof(f581,definition,
! [X0] :
( sQ74_spl
<=> ( c2_2(X0,a303)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f582,plain,
! [X0] :
( ~ sQ74_spl
| c2_2(X0,a303)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( sQ18_spl
| ~ sQ0_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f226,f581,f283,f355]) ).
fof(f585,definition,
! [X0] :
( sQ75_spl
<=> ( ~ c4_1(X0)
| ~ c2_2(X0,a306)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f586,plain,
! [X0] :
( ~ sQ75_spl
| ~ c4_1(X0)
| ~ c2_2(X0,a306)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f228,f585,f283,f315]) ).
fof(f589,definition,
! [X0] :
( sQ76_spl
<=> ( c5_2(a311,X0)
| ~ c2_2(a311,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f590,plain,
! [X0] :
( ~ sQ76_spl
| c5_2(a311,X0)
| ~ c2_2(a311,X0) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ77_spl
<=> ndr1_1(a311) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ77_spl
| ~ ndr1_1(a311) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( sQ5_spl
| ~ sQ7_spl
| ~ sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f230,f589,f592,f311,f302]) ).
fof(f596,definition,
! [X0] :
( sQ78_spl
<=> ( ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c5_2(X0,a303) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f597,plain,
! [X0] :
( ~ sQ78_spl
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c5_2(X0,a303) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( sQ18_spl
| ~ sQ0_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f232,f596,f283,f355]) ).
fof(f600,definition,
! [X0] :
( sQ79_spl
<=> ( c3_1(X0)
| c1_1(X0)
| ~ c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f601,plain,
! [X0] :
( ~ sQ79_spl
| c3_1(X0)
| c1_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ80_spl
<=> c3_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ80_spl
| ~ c3_1(a292) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( ~ sQ8_spl
| ~ sQ80_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f233,f600,f283,f603,f315]) ).
fof(f607,definition,
! [X0] :
( sQ81_spl
<=> ( ~ c5_2(a302,X0)
| ~ c2_2(a302,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f608,plain,
! [X0] :
( ~ sQ81_spl
| ~ c5_2(a302,X0)
| ~ c2_2(a302,X0) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ82_spl
<=> ndr1_1(a302) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ82_spl
| ndr1_1(a302) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ82_spl
| ~ ndr1_1(a302) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( sQ9_spl
| ~ sQ5_spl
| ~ sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f235,f607,f610,f302,f318]) ).
fof(f614,definition,
( sQ83_spl
<=> ndr1_1(a288) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( sQ83_spl
| ~ ndr1_1(a288) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
! [X0] :
( sQ84_spl
<=> ( c2_2(a288,X0)
| c4_2(a288,X0)
| c1_2(a288,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f618,plain,
! [X0] :
( ~ sQ84_spl
| c2_2(a288,X0)
| c4_2(a288,X0)
| c1_2(a288,X0) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( sQ8_spl
| sQ84_spl
| ~ sQ7_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f237,f614,f311,f617,f315]) ).
fof(f621,definition,
! [X0] :
( sQ85_spl
<=> ( c1_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ c5_2(a304,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f622,plain,
! [X0] :
( ~ sQ85_spl
| c1_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ c5_2(a304,X0) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ86_spl
<=> ndr1_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ86_spl
| ndr1_1(a304) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ86_spl
| ~ ndr1_1(a304) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ7_spl
| ~ sQ86_spl
| sQ85_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f238,f355,f621,f624,f311]) ).
fof(f628,definition,
! [X0,X1] :
( sQ87_spl
<=> ( c1_1(X0)
| c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f629,plain,
! [X0,X1] :
( ~ sQ87_spl
| c1_1(X0)
| c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ88_spl
<=> ndr1_1(a300) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ88_spl
| ndr1_1(a300) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( sQ88_spl
| ~ sQ5_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f240,f628,f283,f302,f631]) ).
fof(f635,definition,
( sQ89_spl
<=> c5_1(a300) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ89_spl
| c5_1(a300) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( sQ89_spl
| ~ sQ5_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f242,f628,f283,f302,f635]) ).
fof(f639,definition,
! [X0,X1] :
( sQ90_spl
<=> ( ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f640,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ91_spl
<=> ndr1_1(a281) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ91_spl
| ndr1_1(a281) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ91_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f244,f639,f283,f642]) ).
fof(f646,definition,
( sQ92_spl
<=> c5_1(a281) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ92_spl
| c5_1(a281) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( sQ92_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f246,f639,f283,f646]) ).
fof(f650,definition,
( sQ93_spl
<=> c3_2(a281,a282) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ93_spl
| c3_2(a281,a282) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( sQ93_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f248,f639,f283,f650]) ).
fof(f654,definition,
( sQ94_spl
<=> c4_1(a281) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( sQ94_spl
| ~ c4_1(a281) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( ~ sQ94_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f250,f639,f283,f654]) ).
fof(f658,definition,
( sQ95_spl
<=> c1_2(a300,a301) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ95_spl
| ~ c1_2(a300,a301) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f252,f628,f283,f658,f302]) ).
fof(f662,definition,
( sQ96_spl
<=> c3_2(a300,a301) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( sQ96_spl
| ~ c3_2(a300,a301) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( ~ sQ5_spl
| ~ sQ96_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f254,f628,f283,f662,f302]) ).
fof(f666,definition,
( sQ97_spl
<=> c4_2(a300,a301) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( sQ97_spl
| ~ c4_2(a300,a301) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,plain,
( ~ sQ5_spl
| ~ sQ97_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f256,f628,f283,f666,f302]) ).
fof(f670,definition,
( sQ98_spl
<=> c2_2(a281,a282) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( sQ98_spl
| ~ c2_2(a281,a282) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( ~ sQ98_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f258,f639,f283,f670]) ).
fof(f674,definition,
( sQ99_spl
<=> c5_2(a281,a282) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( sQ99_spl
| ~ c5_2(a281,a282) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ99_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f260,f639,f283,f674]) ).
fof(f678,definition,
! [X0,X1] :
( sQ100_spl
<=> ( c4_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f679,plain,
! [X0,X1] :
( ~ sQ100_spl
| c4_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f262,f678,f283,f315,f311]) ).
fof(f682,definition,
! [X0,X1] :
( sQ101_spl
<=> ( c5_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f683,plain,
! [X0,X1] :
( ~ sQ101_spl
| c5_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,plain,
( sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f264,f682,f283,f315,f311]) ).
fof(f686,definition,
! [X0,X1] :
( sQ102_spl
<=> ( c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f687,plain,
! [X0,X1] :
( ~ sQ102_spl
| c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( ~ sQ9_spl
| sQ61_spl
| ~ sQ0_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f266,f686,f283,f530,f318]) ).
fof(f690,definition,
! [X0,X1,X2] :
( sQ103_spl
<=> ( c2_2(X0,X1)
| ~ c2_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f691,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| c2_2(X0,X1)
| ~ c2_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( sQ60_spl
| ~ sQ0_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f268,f690,f283,f527]) ).
fof(f694,definition,
! [X0,X1,X2] :
( sQ104_spl
<=> ( c2_2(X0,X1)
| ~ c5_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| c2_2(X0,X1)
| ~ c5_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( sQ60_spl
| ~ sQ0_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f270,f694,f283,f527]) ).
fof(f698,definition,
! [X0,X1,X2] :
( sQ105_spl
<=> ( c2_2(X0,X1)
| ~ c4_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| c2_2(X0,X1)
| ~ c4_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( sQ60_spl
| ~ sQ0_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f272,f698,f283,f527]) ).
fof(f702,definition,
! [X1] :
( sQ106_spl
<=> ( c4_2(a292,X1)
| c3_2(a292,X1)
| ~ c2_2(a292,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f703,plain,
! [X0] :
( ~ sQ106_spl
| c4_2(a292,X0)
| c3_2(a292,X0)
| ~ c2_2(a292,X0) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ107_spl
<=> ndr1_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( sQ107_spl
| ~ ndr1_1(a292) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ sQ8_spl
| ~ sQ107_spl
| sQ106_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f274,f600,f283,f702,f705,f315]) ).
fof(f709,definition,
! [X2] :
( sQ108_spl
<=> ( c1_2(X2,a291)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f710,plain,
! [X0] :
( ~ sQ108_spl
| c1_2(X0,a291)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( ~ sQ9_spl
| sQ108_spl
| ~ sQ0_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f276,f686,f283,f709,f318]) ).
fof(f713,definition,
! [X1] :
( sQ109_spl
<=> ( c2_2(a292,X1)
| ~ c3_2(a292,X1)
| ~ c5_2(a292,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f714,plain,
! [X0] :
( ~ sQ109_spl
| c2_2(a292,X0)
| ~ c3_2(a292,X0)
| ~ c5_2(a292,X0) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( ~ sQ8_spl
| ~ sQ107_spl
| sQ109_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f278,f600,f283,f713,f705,f315]) ).
fof(f717,definition,
! [X2] :
( sQ110_spl
<=> ( ~ c2_1(X2)
| ~ c2_2(X2,a291) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f718,plain,
! [X0] :
( ~ sQ110_spl
| ~ c2_1(X0)
| ~ c2_2(X0,a291) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( ~ sQ9_spl
| sQ110_spl
| ~ sQ0_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f280,f686,f283,f717,f318]) ).
fof(f721,definition,
! [X2] :
( sQ111_spl
<=> ( ~ c2_1(X2)
| ~ c5_2(X2,a291) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f722,plain,
! [X0] :
( ~ sQ111_spl
| ~ c2_1(X0)
| ~ c5_2(X0,a291) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ sQ9_spl
| sQ111_spl
| ~ sQ0_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f282,f686,f283,f721,f318]) ).
fof(f725,plain,
! [X0,X1] :
( ~ sQ102_spl
| ~ sQ61_spl
| c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f687,f531]) ).
fof(f726,plain,
( ~ sQ67_spl
| ssSkP0(a286)
| c5_2(a286,a283) ),
inference(resolution,[status(thm)],[f554,f183]) ).
fof(f727,plain,
( ~ sQ67_spl
| ssSkP2(a286)
| c5_2(a286,a289) ),
inference(resolution,[status(thm)],[f554,f179]) ).
fof(f728,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ67_spl
| ~ c4_1(a286)
| ~ c1_1(a286)
| ~ ndr1_1(a286)
| ~ c4_2(a286,X0)
| c5_2(a286,X0) ),
inference(resolution,[status(thm)],[f554,f640]) ).
fof(f729,definition,
( sQ112_spl
<=> c5_2(a286,a283) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ112_spl
| c5_2(a286,a283) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ113_spl
<=> ssSkP0(a286) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ113_spl
| ssSkP0(a286) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( ~ sQ67_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f726,f729,f732,f553]) ).
fof(f736,definition,
( sQ114_spl
<=> c5_2(a286,a289) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ114_spl
| c5_2(a286,a289) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ115_spl
<=> ssSkP2(a286) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ115_spl
| ssSkP2(a286) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ67_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f727,f736,f739,f553]) ).
fof(f743,definition,
! [X0] :
( sQ116_spl
<=> ( ~ c4_2(a286,X0)
| c5_2(a286,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f744,plain,
! [X0] :
( ~ sQ116_spl
| ~ c4_2(a286,X0)
| c5_2(a286,X0) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ117_spl
<=> c1_1(a286) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( sQ117_spl
| ~ c1_1(a286) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ118_spl
<=> c4_1(a286) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( sQ118_spl
| ~ c4_1(a286) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ90_spl
| ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ117_spl
| ~ sQ22_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f728,f743,f374,f746,f749,f553,f639]) ).
fof(f753,plain,
( ~ sQ66_spl
| ssSkP0(a295)
| c5_2(a295,a283) ),
inference(resolution,[status(thm)],[f550,f184]) ).
fof(f754,definition,
( sQ119_spl
<=> c5_2(a295,a283) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ119_spl
| c5_2(a295,a283) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ120_spl
<=> ssSkP0(a295) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ120_spl
| ssSkP0(a295) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ120_spl
| ~ ssSkP0(a295) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( ~ sQ66_spl
| sQ120_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f753,f754,f757,f549]) ).
fof(f761,plain,
( ~ sQ84_spl
| ssSkP1(a288)
| c2_2(a288,a284)
| c4_2(a288,a284) ),
inference(resolution,[status(thm)],[f618,f182]) ).
fof(f762,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ84_spl
| c4_2(a288,a280)
| c5_2(a288,X0)
| c3_2(a288,X0)
| ~ c5_1(a288)
| ~ ndr1_1(a288)
| c2_2(a288,X0)
| c4_2(a288,X0) ),
inference(resolution,[status(thm)],[f618,f679]) ).
fof(f763,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ84_spl
| c1_1(a288)
| c4_1(a288)
| ~ ndr1_1(a288)
| ~ c2_2(a288,X0)
| c2_2(a288,X0)
| c4_2(a288,X0) ),
inference(resolution,[status(thm)],[f618,f629]) ).
fof(f764,definition,
( sQ121_spl
<=> c4_2(a288,a284) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ121_spl
| c4_2(a288,a284) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ122_spl
<=> c2_2(a288,a284) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ122_spl
| c2_2(a288,a284) ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ123_spl
<=> ssSkP1(a288) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ123_spl
| ssSkP1(a288) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ84_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f761,f764,f767,f770,f617]) ).
fof(f774,definition,
! [X0] :
( sQ124_spl
<=> ( c5_2(a288,X0)
| c3_2(a288,X0)
| c2_2(a288,X0)
| c4_2(a288,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f775,plain,
! [X0] :
( ~ sQ124_spl
| c5_2(a288,X0)
| c3_2(a288,X0)
| c2_2(a288,X0)
| c4_2(a288,X0) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ125_spl
<=> c5_1(a288) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( sQ125_spl
| ~ c5_1(a288) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ126_spl
<=> c4_2(a288,a280) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ126_spl
| c4_2(a288,a280) ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,plain,
( ~ sQ100_spl
| ~ sQ84_spl
| sQ126_spl
| ~ sQ125_spl
| ~ sQ83_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f762,f774,f614,f777,f780,f617,f678]) ).
fof(f784,definition,
! [X0] :
( sQ127_spl
<=> ( ~ c2_2(a288,X0)
| c2_2(a288,X0)
| c4_2(a288,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f787,definition,
( sQ128_spl
<=> c4_1(a288) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ128_spl
| c4_1(a288) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f789,plain,
( sQ128_spl
| ~ c4_1(a288) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ sQ87_spl
| ~ sQ84_spl
| sQ49_spl
| sQ128_spl
| ~ sQ83_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f763,f784,f614,f787,f483,f617,f628]) ).
fof(f791,plain,
( ~ sQ124_spl
| ssSkP0(a288)
| c5_2(a288,a283)
| c3_2(a288,a283)
| c4_2(a288,a283) ),
inference(resolution,[status(thm)],[f775,f183]) ).
fof(f792,plain,
( ~ sQ124_spl
| ssSkP2(a288)
| c5_2(a288,a289)
| c3_2(a288,a289)
| c4_2(a288,a289) ),
inference(resolution,[status(thm)],[f775,f179]) ).
fof(f793,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ124_spl
| ~ c4_1(a288)
| ~ c1_1(a288)
| ~ ndr1_1(a288)
| ~ c4_2(a288,X0)
| c5_2(a288,X0)
| c3_2(a288,X0)
| c4_2(a288,X0) ),
inference(resolution,[status(thm)],[f775,f640]) ).
fof(f794,definition,
( sQ129_spl
<=> c4_2(a288,a283) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ129_spl
| c4_2(a288,a283) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ130_spl
<=> c3_2(a288,a283) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ130_spl
| c3_2(a288,a283) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ131_spl
<=> c5_2(a288,a283) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ131_spl
| c5_2(a288,a283) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ132_spl
<=> ssSkP0(a288) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ132_spl
| ssSkP0(a288) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ124_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f791,f794,f797,f800,f803,f774]) ).
fof(f807,definition,
( sQ133_spl
<=> c4_2(a288,a289) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ133_spl
| c4_2(a288,a289) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ134_spl
<=> c3_2(a288,a289) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ134_spl
| c3_2(a288,a289) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ135_spl
<=> c5_2(a288,a289) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ135_spl
| c5_2(a288,a289) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ136_spl
<=> ssSkP2(a288) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ136_spl
| ssSkP2(a288) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sQ124_spl
| sQ136_spl
| sQ135_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f792,f807,f810,f813,f816,f774]) ).
fof(f820,definition,
! [X0] :
( sQ137_spl
<=> ( ~ c4_2(a288,X0)
| c5_2(a288,X0)
| c3_2(a288,X0)
| c4_2(a288,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ90_spl
| ~ sQ124_spl
| ~ sQ128_spl
| ~ sQ49_spl
| ~ sQ83_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f793,f820,f614,f483,f787,f774,f639]) ).
fof(f824,plain,
( ~ sQ79_spl
| ~ sQ10_spl
| c3_1(a312)
| c1_1(a312) ),
inference(resolution,[status(thm)],[f323,f601]) ).
fof(f825,definition,
( sQ138_spl
<=> c1_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ138_spl
| c1_1(a312) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ79_spl
| ~ sQ10_spl
| sQ23_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f824,f825,f379,f322,f600]) ).
fof(f829,plain,
! [X0,X1] :
( ~ sQ90_spl
| ~ sQ64_spl
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f640,f830]) ).
fof(f830,plain,
! [X0] :
( ~ sQ64_spl
| ndr1_1(X0)
| ~ c4_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f133]) ).
fof(f831,plain,
( ~ sQ10_spl
| ~ sQ64_spl
| ndr1_1(a312) ),
inference(resolution,[status(thm)],[f830,f323]) ).
fof(f832,plain,
! [X0] :
( ~ sQ71_spl
| ndr1_1(X0)
| c4_2(X0,a306)
| ~ c4_1(X0) ),
inference(resolution,[status(thm)],[f570,f133]) ).
fof(f833,plain,
( ~ sQ61_spl
| ~ sQ43_spl
| ndr1_1(a277) ),
inference(resolution,[status(thm)],[f460,f531]) ).
fof(f834,plain,
( ~ sQ43_spl
| ~ sQ73_spl
| c4_2(a277,a303)
| ~ c5_1(a277) ),
inference(resolution,[status(thm)],[f578,f460]) ).
fof(f835,definition,
( sQ139_spl
<=> c5_1(a277) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( sQ139_spl
| ~ c5_1(a277) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ140_spl
<=> c4_2(a277,a303) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ140_spl
| c4_2(a277,a303) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( ~ sQ43_spl
| ~ sQ73_spl
| sQ140_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f834,f835,f838,f577,f459]) ).
fof(f842,plain,
( ~ sQ109_spl
| ssSkP3(a292)
| c2_2(a292,a305)
| ~ c5_2(a292,a305) ),
inference(resolution,[status(thm)],[f714,f160]) ).
fof(f843,definition,
( sQ141_spl
<=> c5_2(a292,a305) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ141_spl
| c5_2(a292,a305) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( sQ141_spl
| ~ c5_2(a292,a305) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ142_spl
<=> c2_2(a292,a305) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ142_spl
| c2_2(a292,a305) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f848,plain,
( sQ142_spl
| ~ c2_2(a292,a305) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ143_spl
<=> ssSkP3(a292) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ143_spl
| ssSkP3(a292) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( ~ sQ109_spl
| sQ143_spl
| sQ142_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f842,f843,f846,f849,f713]) ).
fof(f853,plain,
( ~ sQ85_spl
| ssSkP1(a304)
| c1_2(a304,a284)
| ~ c5_2(a304,a284) ),
inference(resolution,[status(thm)],[f622,f167]) ).
fof(f854,plain,
( ~ sQ85_spl
| ssSkP2(a304)
| c1_2(a304,a289)
| ~ c5_2(a304,a289) ),
inference(resolution,[status(thm)],[f622,f166]) ).
fof(f855,plain,
( ~ sQ85_spl
| ssSkP3(a304)
| c1_2(a304,a305)
| ~ c5_2(a304,a305) ),
inference(resolution,[status(thm)],[f622,f161]) ).
fof(f856,definition,
( sQ144_spl
<=> c5_2(a304,a284) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( sQ144_spl
| ~ c5_2(a304,a284) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,definition,
( sQ145_spl
<=> c1_2(a304,a284) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ145_spl
| c1_2(a304,a284) ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f861,plain,
( sQ145_spl
| ~ c1_2(a304,a284) ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ146_spl
<=> ssSkP1(a304) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ146_spl
| ssSkP1(a304) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ85_spl
| sQ146_spl
| sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f853,f856,f859,f862,f621]) ).
fof(f866,definition,
( sQ147_spl
<=> c5_2(a304,a289) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( sQ147_spl
| ~ c5_2(a304,a289) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ148_spl
<=> c1_2(a304,a289) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ148_spl
| c1_2(a304,a289) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f871,plain,
( sQ148_spl
| ~ c1_2(a304,a289) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ149_spl
<=> ssSkP2(a304) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ149_spl
| ssSkP2(a304) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( ~ sQ85_spl
| sQ149_spl
| sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f854,f866,f869,f872,f621]) ).
fof(f876,definition,
( sQ150_spl
<=> c5_2(a304,a305) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ150_spl
| c5_2(a304,a305) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( sQ150_spl
| ~ c5_2(a304,a305) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ151_spl
<=> c1_2(a304,a305) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ151_spl
| c1_2(a304,a305) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f881,plain,
( sQ151_spl
| ~ c1_2(a304,a305) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ152_spl
<=> ssSkP3(a304) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ152_spl
| ssSkP3(a304) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( sQ152_spl
| ~ ssSkP3(a304) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( ~ sQ85_spl
| sQ152_spl
| sQ151_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f855,f876,f879,f882,f621]) ).
fof(f886,plain,
! [X0] :
( ~ sQ63_spl
| ndr1_1(X0)
| c3_2(X0,a285)
| ~ ssSkP1(X0) ),
inference(resolution,[status(thm)],[f539,f137]) ).
fof(f887,plain,
! [X0] :
( ~ sQ63_spl
| ndr1_1(X0)
| c3_2(X0,a285) ),
inference(forward_subsumption_resolution,[status(thm)],[f886,f136]) ).
fof(f888,plain,
! [X0] :
( ~ sQ62_spl
| ndr1_1(X0)
| c1_2(X0,a285)
| ~ ssSkP1(X0) ),
inference(resolution,[status(thm)],[f535,f137]) ).
fof(f889,plain,
! [X0] :
( ~ sQ62_spl
| ndr1_1(X0)
| c1_2(X0,a285) ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f136]) ).
fof(f890,plain,
! [X0] :
( ~ sQ59_spl
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f136,f891]) ).
fof(f891,plain,
! [X0] :
( ~ sQ59_spl
| ndr1_1(X0)
| ~ ssSkP1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f137]) ).
fof(f892,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| ~ sQ59_spl
| c2_2(X0,X1)
| ~ c4_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f699,f890]) ).
fof(f893,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ59_spl
| c2_2(X0,X1)
| ~ c5_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f695,f890]) ).
fof(f894,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| ~ sQ59_spl
| c2_2(X0,X1)
| ~ c2_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f691,f890]) ).
fof(f895,plain,
! [X0,X1] :
( ~ sQ101_spl
| ~ sQ59_spl
| c5_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f683,f890]) ).
fof(f896,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ59_spl
| c1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f629,f890]) ).
fof(f897,plain,
( sQ65_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f548,f890]) ).
fof(f898,plain,
( sQ77_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f594,f890]) ).
fof(f899,plain,
( sQ82_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f612,f890]) ).
fof(f900,plain,
( sQ83_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f616,f890]) ).
fof(f901,plain,
( sQ86_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f626,f890]) ).
fof(f902,plain,
( sQ107_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f707,f890]) ).
fof(f903,plain,
( sQ65_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f904,plain,
! [X0] :
( ~ sQ62_spl
| c1_2(X0,a285)
| ~ ssSkP1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f137,f535]) ).
fof(f905,plain,
! [X0] :
( ~ sQ63_spl
| c3_2(X0,a285)
| ~ ssSkP1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f137,f539]) ).
fof(f906,plain,
! [X0] :
( ~ sQ48_spl
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f480]) ).
fof(f907,plain,
( ~ sQ70_spl
| ~ sQ67_spl
| ~ ssSkP1(a286)
| ~ ssSkP0(a286)
| c5_2(a286,a285) ),
inference(resolution,[status(thm)],[f554,f566]) ).
fof(f908,plain,
( ~ sQ110_spl
| ~ sQ67_spl
| ~ c2_1(a286)
| c5_2(a286,a291) ),
inference(resolution,[status(thm)],[f554,f718]) ).
fof(f909,plain,
( ~ sQ75_spl
| ~ sQ67_spl
| ~ c4_1(a286)
| ~ ssSkP3(a286)
| c5_2(a286,a306) ),
inference(resolution,[status(thm)],[f554,f586]) ).
fof(f912,definition,
( sQ153_spl
<=> c5_2(a286,a285) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ153_spl
| c5_2(a286,a285) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,definition,
( sQ154_spl
<=> ssSkP1(a286) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ154_spl
| ~ ssSkP1(a286) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ70_spl
| ~ sQ67_spl
| ~ sQ154_spl
| ~ sQ113_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f907,f912,f732,f915,f553,f565]) ).
fof(f919,definition,
( sQ155_spl
<=> c5_2(a286,a291) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ155_spl
| c5_2(a286,a291) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( ~ sQ110_spl
| ~ sQ67_spl
| ~ sQ42_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f908,f919,f455,f553,f717]) ).
fof(f923,definition,
( sQ156_spl
<=> c5_2(a286,a306) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ156_spl
| c5_2(a286,a306) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,definition,
( sQ157_spl
<=> ssSkP3(a286) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( sQ157_spl
| ~ ssSkP3(a286) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( ~ sQ75_spl
| ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f909,f923,f926,f749,f553,f585]) ).
fof(f934,plain,
! [X0,X1] :
( ~ sQ101_spl
| ~ sQ48_spl
| c5_2(X0,a280)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_1(X0)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f906]) ).
fof(f935,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ48_spl
| c1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f906]) ).
fof(f936,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| c4_2(a293,a279) ),
inference(resolution,[status(thm)],[f448,f558]) ).
fof(f937,plain,
( ~ sQ108_spl
| ~ sQ40_spl
| c1_2(a293,a291) ),
inference(resolution,[status(thm)],[f448,f710]) ).
fof(f938,plain,
( ~ sQ74_spl
| ~ sQ40_spl
| c2_2(a293,a303)
| ~ c5_1(a293) ),
inference(resolution,[status(thm)],[f448,f582]) ).
fof(f939,plain,
( ~ sQ73_spl
| ~ sQ40_spl
| c4_2(a293,a303)
| ~ c5_1(a293) ),
inference(resolution,[status(thm)],[f448,f578]) ).
fof(f940,definition,
( sQ158_spl
<=> c2_2(a293,a303) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ158_spl
| c2_2(a293,a303) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( ~ sQ74_spl
| ~ sQ40_spl
| sQ158_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f938,f451,f940,f447,f581]) ).
fof(f944,definition,
( sQ159_spl
<=> c4_2(a293,a303) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ159_spl
| c4_2(a293,a303) ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( ~ sQ73_spl
| ~ sQ40_spl
| sQ159_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f939,f451,f944,f447,f577]) ).
fof(f948,plain,
( ~ sQ68_spl
| ~ sQ39_spl
| c4_2(a297,a279) ),
inference(resolution,[status(thm)],[f444,f558]) ).
fof(f949,plain,
( ~ sQ108_spl
| ~ sQ39_spl
| c1_2(a297,a291) ),
inference(resolution,[status(thm)],[f444,f710]) ).
fof(f950,plain,
( ~ sQ74_spl
| ~ sQ39_spl
| c2_2(a297,a303)
| ~ c5_1(a297) ),
inference(resolution,[status(thm)],[f444,f582]) ).
fof(f951,plain,
( ~ sQ73_spl
| ~ sQ39_spl
| c4_2(a297,a303)
| ~ c5_1(a297) ),
inference(resolution,[status(thm)],[f444,f578]) ).
fof(f952,definition,
( sQ160_spl
<=> c5_1(a297) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( sQ160_spl
| ~ c5_1(a297) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ161_spl
<=> c2_2(a297,a303) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ161_spl
| c2_2(a297,a303) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,plain,
( ~ sQ74_spl
| ~ sQ39_spl
| sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f950,f952,f955,f443,f581]) ).
fof(f959,definition,
( sQ162_spl
<=> c4_2(a297,a303) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ162_spl
| c4_2(a297,a303) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,plain,
( ~ sQ73_spl
| ~ sQ39_spl
| sQ162_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f951,f952,f959,f443,f577]) ).
fof(f963,plain,
( ~ sQ68_spl
| ~ sQ37_spl
| c4_2(a302,a279) ),
inference(resolution,[status(thm)],[f436,f558]) ).
fof(f964,plain,
( ~ sQ108_spl
| ~ sQ37_spl
| c1_2(a302,a291) ),
inference(resolution,[status(thm)],[f436,f710]) ).
fof(f965,plain,
( ~ sQ74_spl
| ~ sQ37_spl
| c2_2(a302,a303)
| ~ c5_1(a302) ),
inference(resolution,[status(thm)],[f436,f582]) ).
fof(f966,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| c4_2(a302,a303)
| ~ c5_1(a302) ),
inference(resolution,[status(thm)],[f436,f578]) ).
fof(f967,definition,
( sQ163_spl
<=> c2_2(a302,a303) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ163_spl
| c2_2(a302,a303) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( ~ sQ74_spl
| ~ sQ37_spl
| sQ163_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f965,f431,f967,f435,f581]) ).
fof(f971,definition,
( sQ164_spl
<=> c4_2(a302,a303) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ164_spl
| c4_2(a302,a303) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| sQ164_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f966,f431,f971,f435,f577]) ).
fof(f975,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| c4_2(a311,a279) ),
inference(resolution,[status(thm)],[f420,f558]) ).
fof(f976,plain,
( ~ sQ108_spl
| ~ sQ33_spl
| c1_2(a311,a291) ),
inference(resolution,[status(thm)],[f420,f710]) ).
fof(f977,plain,
( ~ sQ74_spl
| ~ sQ33_spl
| c2_2(a311,a303)
| ~ c5_1(a311) ),
inference(resolution,[status(thm)],[f420,f582]) ).
fof(f978,plain,
( ~ sQ73_spl
| ~ sQ33_spl
| c4_2(a311,a303)
| ~ c5_1(a311) ),
inference(resolution,[status(thm)],[f420,f578]) ).
fof(f979,definition,
( sQ165_spl
<=> c5_1(a311) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( sQ165_spl
| ~ c5_1(a311) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,definition,
( sQ166_spl
<=> c2_2(a311,a303) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ166_spl
| c2_2(a311,a303) ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( ~ sQ74_spl
| ~ sQ33_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f977,f979,f982,f419,f581]) ).
fof(f986,definition,
( sQ167_spl
<=> c4_2(a311,a303) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ167_spl
| c4_2(a311,a303) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( ~ sQ73_spl
| ~ sQ33_spl
| sQ167_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f978,f979,f986,f419,f577]) ).
fof(f990,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| c3_1(a296)
| c1_1(a296) ),
inference(resolution,[status(thm)],[f362,f601]) ).
fof(f991,definition,
( sQ168_spl
<=> c1_1(a296) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ168_spl
| c1_1(a296) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| sQ20_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f990,f991,f365,f361,f600]) ).
fof(f995,plain,
( ~ sQ26_spl
| ~ sQ102_spl
| ~ sQ61_spl
| c5_2(a307,a308)
| ~ c2_1(a307)
| ~ c5_1(a307) ),
inference(resolution,[status(thm)],[f725,f392]) ).
fof(f999,definition,
( sQ169_spl
<=> c2_1(a307) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ169_spl
| ~ c2_1(a307) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( ~ sQ26_spl
| ~ sQ102_spl
| ~ sQ61_spl
| sQ24_spl
| ~ sQ169_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f995,f399,f999,f383,f530,f686,f391]) ).
fof(f1004,plain,
! [X0,X1] :
( ~ sQ102_spl
| ~ sQ48_spl
| c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f906]) ).
fof(f1005,plain,
( ~ sQ46_spl
| ~ sQ90_spl
| ~ sQ64_spl
| ~ c4_1(a297)
| ~ c1_1(a297)
| ~ c4_2(a297,a298) ),
inference(resolution,[status(thm)],[f829,f472]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ90_spl
| ~ sQ64_spl
| c5_2(a286,X0)
| ~ c4_1(a286)
| ~ c1_1(a286)
| ~ c4_2(a286,X0) ),
inference(resolution,[status(thm)],[f829,f554]) ).
fof(f1007,definition,
( sQ170_spl
<=> c4_2(a297,a298) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ170_spl
| ~ c4_2(a297,a298) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ171_spl
<=> c1_1(a297) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( sQ171_spl
| ~ c1_1(a297) ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ172_spl
<=> c4_1(a297) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( sQ172_spl
| ~ c4_1(a297) ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( ~ sQ46_spl
| ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f1005,f1007,f1010,f1013,f542,f639,f471]) ).
fof(f1017,plain,
( ~ sQ67_spl
| ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ118_spl
| ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1006,f743,f746,f749,f542,f639,f553]) ).
fof(f1018,plain,
( ~ sQ68_spl
| ~ sQ16_spl
| c4_2(a309,a279) ),
inference(resolution,[status(thm)],[f348,f558]) ).
fof(f1019,plain,
( ~ sQ108_spl
| ~ sQ16_spl
| c1_2(a309,a291) ),
inference(resolution,[status(thm)],[f348,f710]) ).
fof(f1020,plain,
( ~ sQ74_spl
| ~ sQ16_spl
| c2_2(a309,a303)
| ~ c5_1(a309) ),
inference(resolution,[status(thm)],[f348,f582]) ).
fof(f1021,plain,
( ~ sQ73_spl
| ~ sQ16_spl
| c4_2(a309,a303)
| ~ c5_1(a309) ),
inference(resolution,[status(thm)],[f348,f578]) ).
fof(f1022,definition,
( sQ173_spl
<=> c5_1(a309) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( sQ173_spl
| ~ c5_1(a309) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ174_spl
<=> c2_2(a309,a303) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ174_spl
| c2_2(a309,a303) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ74_spl
| ~ sQ16_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f1020,f1022,f1025,f347,f581]) ).
fof(f1029,definition,
( sQ175_spl
<=> c4_2(a309,a303) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ175_spl
| c4_2(a309,a303) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( ~ sQ73_spl
| ~ sQ16_spl
| sQ175_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f1021,f1022,f1029,f347,f577]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| ~ sQ48_spl
| c2_2(X0,X1)
| ~ c4_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f906]) ).
fof(f1034,plain,
( ~ sQ62_spl
| ~ sQ120_spl
| c1_2(a295,a285)
| ~ ssSkP1(a295) ),
inference(resolution,[status(thm)],[f758,f535]) ).
fof(f1035,plain,
( ~ sQ63_spl
| ~ sQ120_spl
| c3_2(a295,a285)
| ~ ssSkP1(a295) ),
inference(resolution,[status(thm)],[f758,f539]) ).
fof(f1036,definition,
( sQ176_spl
<=> ssSkP1(a295) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ176_spl
| ssSkP1(a295) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1038,plain,
( sQ176_spl
| ~ ssSkP1(a295) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ177_spl
<=> c1_2(a295,a285) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ177_spl
| c1_2(a295,a285) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1041,plain,
( sQ177_spl
| ~ c1_2(a295,a285) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( ~ sQ62_spl
| ~ sQ120_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1034,f1036,f1039,f757,f534]) ).
fof(f1043,definition,
( sQ178_spl
<=> c3_2(a295,a285) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ178_spl
| c3_2(a295,a285) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,plain,
( ~ sQ63_spl
| ~ sQ120_spl
| sQ178_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1035,f1036,f1043,f757,f538]) ).
fof(f1047,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| ~ sQ48_spl
| c2_2(X0,X1)
| ~ c5_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f906]) ).
fof(f1048,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| ~ sQ48_spl
| c2_2(X0,X1)
| ~ c2_2(X0,a278)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f906]) ).
fof(f1049,plain,
( sQ77_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f906]) ).
fof(f1050,plain,
( sQ77_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ71_spl
| c4_2(X0,a306)
| ~ c4_1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f133,f570]) ).
fof(f1052,plain,
( ~ sQ10_spl
| ~ sQ71_spl
| c4_2(a312,a306)
| ndr1_1(a312) ),
inference(resolution,[status(thm)],[f1051,f323]) ).
fof(f1053,definition,
( sQ179_spl
<=> ndr1_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ179_spl
| ndr1_1(a312) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ180_spl
<=> c4_2(a312,a306) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ180_spl
| c4_2(a312,a306) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ10_spl
| ~ sQ71_spl
| sQ180_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1052,f1053,f1056,f569,f322]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ102_spl
| ssSkP1(X0)
| c5_2(X0,a284)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f687,f167]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ102_spl
| ssSkP2(X0)
| c5_2(X0,a289)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f687,f166]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ102_spl
| ssSkP1(X0)
| c5_2(X0,a284)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f136]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ102_spl
| ssSkP2(X0)
| c5_2(X0,a289)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f135]) ).
fof(f1066,plain,
( ~ sQ71_spl
| ~ sQ143_spl
| c4_2(a292,a306)
| ~ c4_1(a292) ),
inference(resolution,[status(thm)],[f850,f570]) ).
fof(f1067,definition,
( sQ181_spl
<=> c4_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ181_spl
| ~ c4_1(a292) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,definition,
( sQ182_spl
<=> c4_2(a292,a306) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ182_spl
| c4_2(a292,a306) ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( ~ sQ71_spl
| ~ sQ143_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1066,f1067,f1070,f849,f569]) ).
fof(f1074,plain,
! [X0,X1] :
( ~ sQ102_spl
| ~ sQ69_spl
| c5_2(X0,X1)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ c4_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f687,f562]) ).
fof(f1075,plain,
( ~ sQ71_spl
| ~ sQ152_spl
| c4_2(a304,a306)
| ~ c4_1(a304) ),
inference(resolution,[status(thm)],[f883,f570]) ).
fof(f1076,definition,
( sQ183_spl
<=> c4_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ183_spl
| c4_1(a304) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1078,plain,
( sQ183_spl
| ~ c4_1(a304) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,definition,
( sQ184_spl
<=> c4_2(a304,a306) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( ~ sQ184_spl
| c4_2(a304,a306) ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1081,plain,
( sQ184_spl
| ~ c4_2(a304,a306) ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,plain,
( ~ sQ71_spl
| ~ sQ152_spl
| sQ184_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f1075,f1076,f1079,f882,f569]) ).
fof(f1087,plain,
( ~ sQ114_spl
| ssSkP2(a286) ),
inference(resolution,[status(thm)],[f737,f180]) ).
fof(f1088,plain,
( ~ sQ116_spl
| ssSkP1(a286)
| c5_2(a286,a284) ),
inference(resolution,[status(thm)],[f744,f167]) ).
fof(f1089,plain,
( ~ sQ116_spl
| ssSkP2(a286)
| c5_2(a286,a289) ),
inference(resolution,[status(thm)],[f744,f166]) ).
fof(f1090,plain,
( ~ sQ116_spl
| ssSkP3(a286)
| c5_2(a286,a305) ),
inference(resolution,[status(thm)],[f744,f161]) ).
fof(f1091,definition,
( sQ185_spl
<=> c5_2(a286,a284) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ185_spl
| c5_2(a286,a284) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( ~ sQ116_spl
| sQ154_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1088,f1091,f915,f743]) ).
fof(f1095,plain,
( ~ sQ116_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1089,f736,f739,f743]) ).
fof(f1096,definition,
( sQ186_spl
<=> c5_2(a286,a305) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ186_spl
| c5_2(a286,a305) ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,plain,
( ~ sQ116_spl
| sQ157_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1090,f1096,f926,f743]) ).
fof(f1100,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ126_spl
| c5_2(a288,a280)
| ~ c2_1(a288)
| ~ c5_1(a288) ),
inference(resolution,[status(thm)],[f781,f1074]) ).
fof(f1101,definition,
( sQ187_spl
<=> c2_1(a288) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( sQ187_spl
| ~ c2_1(a288) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,definition,
( sQ188_spl
<=> c5_2(a288,a280) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( ~ sQ188_spl
| c5_2(a288,a280) ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ126_spl
| sQ188_spl
| ~ sQ187_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f1100,f777,f1101,f1104,f780,f561,f686]) ).
fof(f1108,plain,
( ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ122_spl
| ~ c4_1(a288)
| ~ c1_1(a288)
| ~ c4_2(a288,a284) ),
inference(resolution,[status(thm)],[f768,f829]) ).
fof(f1109,plain,
( ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ122_spl
| ~ sQ128_spl
| ~ sQ49_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f1108,f764,f483,f787,f767,f542,f639]) ).
fof(f1110,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ140_spl
| c5_2(a277,a303)
| ~ c2_1(a277)
| ~ c5_1(a277) ),
inference(resolution,[status(thm)],[f839,f1074]) ).
fof(f1111,definition,
( sQ189_spl
<=> c5_2(a277,a303) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ189_spl
| c5_2(a277,a303) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ140_spl
| sQ189_spl
| ~ sQ43_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f1110,f835,f459,f1111,f838,f561,f686]) ).
fof(f1115,plain,
( ~ sQ106_spl
| ~ sQ142_spl
| c4_2(a292,a305)
| c3_2(a292,a305) ),
inference(resolution,[status(thm)],[f847,f703]) ).
fof(f1116,plain,
( ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ142_spl
| ~ c4_1(a292)
| ~ c1_1(a292)
| ~ c4_2(a292,a305) ),
inference(resolution,[status(thm)],[f847,f829]) ).
fof(f1117,definition,
( sQ190_spl
<=> c3_2(a292,a305) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ190_spl
| c3_2(a292,a305) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,definition,
( sQ191_spl
<=> c4_2(a292,a305) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ106_spl
| ~ sQ142_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1115,f1117,f1120,f846,f702]) ).
fof(f1124,definition,
( sQ192_spl
<=> c1_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( sQ192_spl
| ~ c1_1(a292) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,plain,
( ~ sQ90_spl
| ~ sQ64_spl
| ~ sQ142_spl
| ~ sQ181_spl
| ~ sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1116,f1120,f1124,f1067,f846,f542,f639]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ102_spl
| ssSkP2(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f180]) ).
fof(f1129,plain,
( sQ141_spl
| ssSkP3(a292) ),
inference(resolution,[status(thm)],[f845,f159]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ151_spl
| c2_2(a304,a305)
| ~ c4_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f880,f699]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ151_spl
| c2_2(a304,a305)
| ~ c5_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f880,f695]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ151_spl
| c2_2(a304,a305)
| ~ c2_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f880,f691]) ).
fof(f1133,plain,
( ~ sQ101_spl
| ~ sQ151_spl
| c5_2(a304,a280)
| c5_2(a304,a305)
| c3_2(a304,a305)
| ~ c5_1(a304)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f880,f683]) ).
fof(f1134,plain,
( ~ sQ87_spl
| ~ sQ151_spl
| c1_1(a304)
| c4_1(a304)
| ~ ndr1_1(a304)
| ~ c2_2(a304,a305) ),
inference(resolution,[status(thm)],[f880,f629]) ).
fof(f1135,definition,
! [X0] :
( sQ193_spl
<=> ( ~ c5_2(a304,X0)
| ~ c4_2(a304,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ193_spl
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,definition,
( sQ194_spl
<=> c4_2(a304,a278) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( sQ194_spl
| ~ c4_2(a304,a278) ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,definition,
( sQ195_spl
<=> c2_2(a304,a305) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ195_spl
| c2_2(a304,a305) ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( ~ sQ105_spl
| ~ sQ151_spl
| sQ195_spl
| ~ sQ194_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1130,f624,f1135,f1138,f1141,f879,f698]) ).
fof(f1145,definition,
( sQ196_spl
<=> c5_2(a304,a278) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1147,plain,
( sQ196_spl
| ~ c5_2(a304,a278) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sQ104_spl
| ~ sQ151_spl
| sQ195_spl
| ~ sQ196_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1131,f624,f1135,f1145,f1141,f879,f694]) ).
fof(f1149,definition,
( sQ197_spl
<=> c2_2(a304,a278) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( sQ197_spl
| ~ c2_2(a304,a278) ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( ~ sQ103_spl
| ~ sQ151_spl
| sQ195_spl
| ~ sQ197_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1132,f624,f1135,f1149,f1141,f879,f690]) ).
fof(f1153,definition,
( sQ198_spl
<=> c3_2(a304,a305) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ198_spl
| c3_2(a304,a305) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ199_spl
<=> c5_2(a304,a280) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ199_spl
| c5_2(a304,a280) ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,plain,
( ~ sQ101_spl
| ~ sQ151_spl
| sQ199_spl
| sQ150_spl
| sQ198_spl
| ~ sQ35_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1133,f624,f427,f1153,f876,f1156,f879,f682]) ).
fof(f1160,definition,
( sQ200_spl
<=> c1_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ200_spl
| c1_1(a304) ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( ~ sQ87_spl
| ~ sQ151_spl
| sQ200_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f1134,f1141,f624,f1076,f1160,f879,f628]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ148_spl
| c2_2(a304,a289)
| ~ c4_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f870,f699]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ148_spl
| c2_2(a304,a289)
| ~ c5_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f870,f695]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ148_spl
| c2_2(a304,a289)
| ~ c2_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f870,f691]) ).
fof(f1167,plain,
( ~ sQ87_spl
| ~ sQ148_spl
| c1_1(a304)
| c4_1(a304)
| ~ ndr1_1(a304)
| ~ c2_2(a304,a289) ),
inference(resolution,[status(thm)],[f870,f629]) ).
fof(f1168,definition,
( sQ201_spl
<=> c2_2(a304,a289) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ201_spl
| c2_2(a304,a289) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sQ105_spl
| ~ sQ148_spl
| sQ201_spl
| ~ sQ194_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1164,f624,f1135,f1138,f1168,f869,f698]) ).
fof(f1172,plain,
( ~ sQ104_spl
| ~ sQ148_spl
| sQ201_spl
| ~ sQ196_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1165,f624,f1135,f1145,f1168,f869,f694]) ).
fof(f1173,plain,
( ~ sQ103_spl
| ~ sQ148_spl
| sQ201_spl
| ~ sQ197_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1166,f624,f1135,f1149,f1168,f869,f690]) ).
fof(f1174,plain,
( ~ sQ87_spl
| ~ sQ148_spl
| sQ200_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f1167,f1168,f624,f1076,f1160,f869,f628]) ).
fof(f1175,plain,
( ~ sQ145_spl
| ssSkP1(a304) ),
inference(resolution,[status(thm)],[f860,f182]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ145_spl
| c2_2(a304,a284)
| ~ c4_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f860,f699]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ145_spl
| c2_2(a304,a284)
| ~ c5_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f860,f695]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ145_spl
| c2_2(a304,a284)
| ~ c2_2(a304,a278)
| ~ c5_2(a304,X0)
| ~ c4_2(a304,X0)
| ~ ndr1_1(a304) ),
inference(resolution,[status(thm)],[f860,f691]) ).
fof(f1179,plain,
( ~ sQ87_spl
| ~ sQ145_spl
| c1_1(a304)
| c4_1(a304)
| ~ ndr1_1(a304)
| ~ c2_2(a304,a284) ),
inference(resolution,[status(thm)],[f860,f629]) ).
fof(f1180,definition,
( sQ202_spl
<=> c2_2(a304,a284) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ202_spl
| c2_2(a304,a284) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,plain,
( ~ sQ105_spl
| ~ sQ145_spl
| sQ202_spl
| ~ sQ194_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1176,f624,f1135,f1138,f1180,f859,f698]) ).
fof(f1184,plain,
( ~ sQ104_spl
| ~ sQ145_spl
| sQ202_spl
| ~ sQ196_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1177,f624,f1135,f1145,f1180,f859,f694]) ).
fof(f1185,plain,
( ~ sQ103_spl
| ~ sQ145_spl
| sQ202_spl
| ~ sQ197_spl
| sQ193_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1178,f624,f1135,f1149,f1180,f859,f690]) ).
fof(f1186,plain,
( ~ sQ87_spl
| ~ sQ145_spl
| sQ200_spl
| sQ183_spl
| ~ sQ86_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f1179,f1180,f624,f1076,f1160,f859,f628]) ).
fof(f1187,plain,
( ~ sQ111_spl
| ~ sQ155_spl
| ~ c2_1(a286) ),
inference(resolution,[status(thm)],[f920,f722]) ).
fof(f1188,plain,
( sQ176_spl
| ndr1_1(a295) ),
inference(resolution,[status(thm)],[f1038,f136]) ).
fof(f1189,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ159_spl
| c5_2(a293,a303)
| ~ c2_1(a293)
| ~ c5_1(a293) ),
inference(resolution,[status(thm)],[f945,f1074]) ).
fof(f1190,definition,
( sQ203_spl
<=> c5_2(a293,a303) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( ~ sQ203_spl
| c5_2(a293,a303) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ159_spl
| sQ203_spl
| ~ sQ40_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1189,f451,f447,f1190,f944,f561,f686]) ).
fof(f1194,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ162_spl
| c5_2(a297,a303)
| ~ c2_1(a297)
| ~ c5_1(a297) ),
inference(resolution,[status(thm)],[f960,f1074]) ).
fof(f1195,definition,
( sQ204_spl
<=> c5_2(a297,a303) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ204_spl
| c5_2(a297,a303) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ162_spl
| sQ204_spl
| ~ sQ39_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f1194,f952,f443,f1195,f959,f561,f686]) ).
fof(f1199,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ164_spl
| c5_2(a302,a303)
| ~ c2_1(a302)
| ~ c5_1(a302) ),
inference(resolution,[status(thm)],[f972,f1074]) ).
fof(f1200,definition,
( sQ205_spl
<=> c5_2(a302,a303) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
( ~ sQ205_spl
| c5_2(a302,a303) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( sQ205_spl
| ~ c5_2(a302,a303) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ164_spl
| sQ205_spl
| ~ sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1199,f431,f435,f1200,f971,f561,f686]) ).
fof(f1204,plain,
( ~ sQ81_spl
| ~ sQ163_spl
| ~ c5_2(a302,a303) ),
inference(resolution,[status(thm)],[f968,f608]) ).
fof(f1205,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ167_spl
| c5_2(a311,a303)
| ~ c2_1(a311)
| ~ c5_1(a311) ),
inference(resolution,[status(thm)],[f987,f1074]) ).
fof(f1206,definition,
( sQ206_spl
<=> c5_2(a311,a303) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( ~ sQ206_spl
| c5_2(a311,a303) ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ167_spl
| sQ206_spl
| ~ sQ33_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f1205,f979,f419,f1206,f986,f561,f686]) ).
fof(f1210,plain,
( ~ sQ71_spl
| sQ141_spl
| c4_2(a292,a306)
| ~ c4_1(a292) ),
inference(resolution,[status(thm)],[f1129,f570]) ).
fof(f1211,plain,
( ~ sQ71_spl
| sQ141_spl
| sQ182_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1210,f1067,f1070,f843,f569]) ).
fof(f1212,plain,
( ~ sQ64_spl
| ~ sQ183_spl
| ndr1_1(a304) ),
inference(resolution,[status(thm)],[f1077,f830]) ).
fof(f1213,plain,
( ~ sQ79_spl
| ~ sQ183_spl
| c3_1(a304)
| c1_1(a304) ),
inference(resolution,[status(thm)],[f1077,f601]) ).
fof(f1214,plain,
( ~ sQ64_spl
| ~ sQ183_spl
| sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f626]) ).
fof(f1215,plain,
( ~ sQ64_spl
| ~ sQ183_spl
| sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,definition,
( sQ207_spl
<=> c3_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ207_spl
| c3_1(a304) ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,plain,
( ~ sQ79_spl
| ~ sQ183_spl
| sQ207_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1213,f1160,f1216,f1076,f600]) ).
fof(f1220,plain,
( sQ120_spl
| ndr1_1(a295) ),
inference(resolution,[status(thm)],[f759,f137]) ).
fof(f1223,plain,
( ~ sQ76_spl
| ~ sQ166_spl
| c5_2(a311,a303) ),
inference(resolution,[status(thm)],[f983,f590]) ).
fof(f1224,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ175_spl
| c5_2(a309,a303)
| ~ c2_1(a309)
| ~ c5_1(a309) ),
inference(resolution,[status(thm)],[f1030,f1074]) ).
fof(f1225,definition,
( sQ208_spl
<=> c5_2(a309,a303) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ208_spl
| c5_2(a309,a303) ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ175_spl
| sQ208_spl
| ~ sQ16_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f1224,f1022,f347,f1225,f1029,f561,f686]) ).
fof(f1229,plain,
( ~ sQ135_spl
| ssSkP2(a288) ),
inference(resolution,[status(thm)],[f814,f180]) ).
fof(f1230,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ133_spl
| c5_2(a288,a289)
| ~ c2_1(a288)
| ~ c5_1(a288) ),
inference(resolution,[status(thm)],[f808,f1074]) ).
fof(f1231,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ133_spl
| sQ135_spl
| ~ sQ187_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f1230,f777,f1101,f813,f807,f561,f686]) ).
fof(f1232,plain,
( ~ sQ129_spl
| ssSkP0(a288) ),
inference(resolution,[status(thm)],[f795,f184]) ).
fof(f1233,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ129_spl
| c5_2(a288,a283)
| ~ c2_1(a288)
| ~ c5_1(a288) ),
inference(resolution,[status(thm)],[f795,f1074]) ).
fof(f1234,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ129_spl
| sQ131_spl
| ~ sQ187_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f1233,f777,f1101,f800,f794,f561,f686]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ177_spl
| c2_2(a295,a285)
| ~ c4_2(a295,a278)
| ~ c5_2(a295,X0)
| ~ c4_2(a295,X0)
| ~ ndr1_1(a295) ),
inference(resolution,[status(thm)],[f1040,f699]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ177_spl
| c2_2(a295,a285)
| ~ c5_2(a295,a278)
| ~ c5_2(a295,X0)
| ~ c4_2(a295,X0)
| ~ ndr1_1(a295) ),
inference(resolution,[status(thm)],[f1040,f695]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ177_spl
| c2_2(a295,a285)
| ~ c2_2(a295,a278)
| ~ c5_2(a295,X0)
| ~ c4_2(a295,X0)
| ~ ndr1_1(a295) ),
inference(resolution,[status(thm)],[f1040,f691]) ).
fof(f1238,plain,
( ~ sQ87_spl
| ~ sQ177_spl
| c1_1(a295)
| c4_1(a295)
| ~ ndr1_1(a295)
| ~ c2_2(a295,a285) ),
inference(resolution,[status(thm)],[f1040,f629]) ).
fof(f1239,definition,
! [X0] :
( sQ209_spl
<=> ( ~ c5_2(a295,X0)
| ~ c4_2(a295,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ209_spl
| ~ c5_2(a295,X0)
| ~ c4_2(a295,X0) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,definition,
( sQ210_spl
<=> c4_2(a295,a278) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ210_spl
| ~ c4_2(a295,a278) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,definition,
( sQ211_spl
<=> c2_2(a295,a285) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ211_spl
| c2_2(a295,a285) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,plain,
( ~ sQ105_spl
| ~ sQ177_spl
| sQ211_spl
| ~ sQ210_spl
| sQ209_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1235,f546,f1239,f1242,f1245,f1039,f698]) ).
fof(f1249,definition,
( sQ212_spl
<=> c5_2(a295,a278) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( sQ212_spl
| ~ c5_2(a295,a278) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( ~ sQ104_spl
| ~ sQ177_spl
| sQ211_spl
| ~ sQ212_spl
| sQ209_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1236,f546,f1239,f1249,f1245,f1039,f694]) ).
fof(f1253,definition,
( sQ213_spl
<=> c2_2(a295,a278) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( sQ213_spl
| ~ c2_2(a295,a278) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,plain,
( ~ sQ103_spl
| ~ sQ177_spl
| sQ211_spl
| ~ sQ213_spl
| sQ209_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1237,f546,f1239,f1253,f1245,f1039,f690]) ).
fof(f1257,definition,
( sQ214_spl
<=> c4_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( ~ sQ214_spl
| c4_1(a295) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1259,plain,
( sQ214_spl
| ~ c4_1(a295) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,plain,
( ~ sQ87_spl
| ~ sQ177_spl
| sQ30_spl
| sQ214_spl
| ~ sQ65_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f1238,f1245,f546,f1257,f407,f1039,f628]) ).
fof(f1261,plain,
( sQ82_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f1262,plain,
( sQ65_spl
| sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f1188]) ).
fof(f1263,plain,
( sQ65_spl
| sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ180_spl
| c5_2(a312,a306)
| ~ c2_1(a312)
| ~ c5_1(a312) ),
inference(resolution,[status(thm)],[f1057,f1074]) ).
fof(f1265,definition,
( sQ215_spl
<=> c5_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ215_spl
| ~ c5_1(a312) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,definition,
( sQ216_spl
<=> c2_1(a312) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( sQ216_spl
| ~ c2_1(a312) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,definition,
( sQ217_spl
<=> c5_2(a312,a306) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ217_spl
| c5_2(a312,a306) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ180_spl
| sQ217_spl
| ~ sQ216_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f1264,f1265,f1268,f1271,f1056,f561,f686]) ).
fof(f1275,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ182_spl
| c5_2(a292,a306)
| ~ c2_1(a292)
| ~ c5_1(a292) ),
inference(resolution,[status(thm)],[f1071,f1074]) ).
fof(f1276,definition,
( sQ218_spl
<=> c5_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( sQ218_spl
| ~ c5_1(a292) ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1279,definition,
( sQ219_spl
<=> c2_1(a292) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( sQ219_spl
| ~ c2_1(a292) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,definition,
( sQ220_spl
<=> c5_2(a292,a306) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ220_spl
| c5_2(a292,a306) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ182_spl
| sQ220_spl
| ~ sQ219_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f1275,f1276,f1279,f1282,f1070,f561,f686]) ).
fof(f1286,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ184_spl
| c5_2(a304,a306)
| ~ c2_1(a304)
| ~ c5_1(a304) ),
inference(resolution,[status(thm)],[f1080,f1074]) ).
fof(f1287,definition,
( sQ221_spl
<=> c2_1(a304) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( sQ221_spl
| ~ c2_1(a304) ),
inference(component_clause,[status(thm)],[f1287]) ).
fof(f1290,definition,
( sQ222_spl
<=> c5_2(a304,a306) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ222_spl
| c5_2(a304,a306) ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ184_spl
| sQ222_spl
| ~ sQ221_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1286,f427,f1287,f1290,f1079,f561,f686]) ).
fof(f1294,plain,
( ~ sQ64_spl
| ~ sQ214_spl
| ndr1_1(a295) ),
inference(resolution,[status(thm)],[f1258,f830]) ).
fof(f1295,plain,
( ~ sQ79_spl
| ~ sQ214_spl
| c3_1(a295)
| c1_1(a295) ),
inference(resolution,[status(thm)],[f1258,f601]) ).
fof(f1296,definition,
( sQ223_spl
<=> c3_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( ~ sQ223_spl
| c3_1(a295) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,plain,
( ~ sQ79_spl
| ~ sQ214_spl
| sQ223_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1295,f407,f1296,f1257,f600]) ).
fof(f1300,plain,
( ~ sQ78_spl
| ~ sQ189_spl
| ~ c2_1(a277)
| ~ c5_1(a277) ),
inference(resolution,[status(thm)],[f1112,f597]) ).
fof(f1301,plain,
( ~ sQ78_spl
| ~ sQ189_spl
| ~ sQ43_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f1300,f835,f459,f1111,f596]) ).
fof(f1302,plain,
( ~ sQ184_spl
| ~ sQ193_spl
| ~ c5_2(a304,a306) ),
inference(resolution,[status(thm)],[f1136,f1080]) ).
fof(f1303,plain,
( ~ sQ193_spl
| ssSkP1(a304)
| ~ c5_2(a304,a284) ),
inference(resolution,[status(thm)],[f1136,f167]) ).
fof(f1304,plain,
( ~ sQ193_spl
| ssSkP2(a304)
| ~ c5_2(a304,a289) ),
inference(resolution,[status(thm)],[f1136,f166]) ).
fof(f1305,plain,
( ~ sQ193_spl
| ssSkP3(a304)
| ~ c5_2(a304,a305) ),
inference(resolution,[status(thm)],[f1136,f161]) ).
fof(f1306,plain,
( ~ sQ193_spl
| sQ146_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1303,f856,f862,f1135]) ).
fof(f1307,plain,
( ~ sQ193_spl
| sQ149_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f1304,f866,f872,f1135]) ).
fof(f1308,plain,
( ~ sQ193_spl
| sQ152_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f1305,f876,f882,f1135]) ).
fof(f1309,plain,
( sQ150_spl
| ssSkP3(a304) ),
inference(resolution,[status(thm)],[f878,f159]) ).
fof(f1312,plain,
( ~ sQ201_spl
| ssSkP2(a304) ),
inference(resolution,[status(thm)],[f1169,f179]) ).
fof(f1313,plain,
( ~ sQ78_spl
| ~ sQ203_spl
| ~ c2_1(a293)
| ~ c5_1(a293) ),
inference(resolution,[status(thm)],[f1191,f597]) ).
fof(f1314,plain,
( ~ sQ78_spl
| ~ sQ203_spl
| ~ sQ40_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1313,f451,f447,f1190,f596]) ).
fof(f1315,plain,
( ~ sQ78_spl
| ~ sQ204_spl
| ~ c2_1(a297)
| ~ c5_1(a297) ),
inference(resolution,[status(thm)],[f1196,f597]) ).
fof(f1316,plain,
( ~ sQ78_spl
| ~ sQ204_spl
| ~ sQ39_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f1315,f952,f443,f1195,f596]) ).
fof(f1317,plain,
( ~ sQ78_spl
| ~ sQ205_spl
| ~ c2_1(a302)
| ~ c5_1(a302) ),
inference(resolution,[status(thm)],[f1201,f597]) ).
fof(f1318,plain,
( ~ sQ78_spl
| ~ sQ205_spl
| ~ sQ37_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1317,f431,f435,f1200,f596]) ).
fof(f1319,plain,
( ~ sQ81_spl
| ~ sQ163_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f1201]) ).
fof(f1320,plain,
( ~ sQ81_spl
| ~ sQ163_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1321,plain,
( ~ sQ78_spl
| ~ sQ206_spl
| ~ c2_1(a311)
| ~ c5_1(a311) ),
inference(resolution,[status(thm)],[f1207,f597]) ).
fof(f1322,plain,
( ~ sQ78_spl
| ~ sQ206_spl
| ~ sQ33_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f1321,f979,f419,f1206,f596]) ).
fof(f1323,plain,
( ~ sQ78_spl
| ~ sQ208_spl
| ~ c2_1(a309)
| ~ c5_1(a309) ),
inference(resolution,[status(thm)],[f1226,f597]) ).
fof(f1324,plain,
( ~ sQ78_spl
| ~ sQ208_spl
| ~ sQ16_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f1323,f1022,f347,f1225,f596]) ).
fof(f1325,plain,
( ~ sQ209_spl
| ssSkP1(a295)
| ~ c5_2(a295,a284) ),
inference(resolution,[status(thm)],[f1240,f167]) ).
fof(f1326,plain,
( ~ sQ209_spl
| ssSkP2(a295)
| ~ c5_2(a295,a289) ),
inference(resolution,[status(thm)],[f1240,f166]) ).
fof(f1327,plain,
( ~ sQ209_spl
| ssSkP3(a295)
| ~ c5_2(a295,a305) ),
inference(resolution,[status(thm)],[f1240,f161]) ).
fof(f1328,definition,
( sQ224_spl
<=> c5_2(a295,a284) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( sQ224_spl
| ~ c5_2(a295,a284) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ209_spl
| sQ176_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f1325,f1328,f1036,f1239]) ).
fof(f1332,definition,
( sQ225_spl
<=> c5_2(a295,a289) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( sQ225_spl
| ~ c5_2(a295,a289) ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ226_spl
<=> ssSkP2(a295) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ226_spl
| ssSkP2(a295) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,plain,
( ~ sQ209_spl
| sQ226_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f1326,f1332,f1335,f1239]) ).
fof(f1339,definition,
( sQ227_spl
<=> c5_2(a295,a305) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( sQ227_spl
| ~ c5_2(a295,a305) ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,definition,
( sQ228_spl
<=> ssSkP3(a295) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ228_spl
| ssSkP3(a295) ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ sQ209_spl
| sQ228_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f1327,f1339,f1342,f1239]) ).
fof(f1346,plain,
( ~ sQ184_spl
| ~ sQ193_spl
| ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f1291]) ).
fof(f1347,plain,
( ~ sQ184_spl
| ~ sQ193_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( sQ150_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1309,f882,f876]) ).
fof(f1351,plain,
( ~ sQ71_spl
| ~ sQ228_spl
| c4_2(a295,a306)
| ~ c4_1(a295) ),
inference(resolution,[status(thm)],[f1343,f570]) ).
fof(f1352,definition,
( sQ229_spl
<=> c4_2(a295,a306) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ229_spl
| c4_2(a295,a306) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1354,plain,
( sQ229_spl
| ~ c4_2(a295,a306) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( ~ sQ71_spl
| ~ sQ228_spl
| sQ229_spl
| ~ sQ214_spl ),
inference(split_clause,[status(thm)],[f1351,f1257,f1352,f1342,f569]) ).
fof(f1356,plain,
( ~ sQ64_spl
| ~ sQ183_spl
| ndr1_1(a304) ),
inference(resolution,[status(thm)],[f1077,f830]) ).
fof(f1359,plain,
( sQ227_spl
| ssSkP3(a295) ),
inference(resolution,[status(thm)],[f1341,f159]) ).
fof(f1362,plain,
( ~ sQ209_spl
| ~ sQ229_spl
| ~ c5_2(a295,a306) ),
inference(resolution,[status(thm)],[f1353,f1240]) ).
fof(f1363,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ229_spl
| c5_2(a295,a306)
| ~ c2_1(a295)
| ~ c5_1(a295) ),
inference(resolution,[status(thm)],[f1353,f1074]) ).
fof(f1364,definition,
( sQ230_spl
<=> c5_1(a295) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( sQ230_spl
| ~ c5_1(a295) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,definition,
( sQ231_spl
<=> c5_2(a295,a306) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( ~ sQ231_spl
| c5_2(a295,a306) ),
inference(component_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( ~ sQ102_spl
| ~ sQ69_spl
| ~ sQ229_spl
| sQ231_spl
| ~ sQ29_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f1363,f1364,f403,f1367,f1352,f561,f686]) ).
fof(f1371,plain,
( ~ sQ231_spl
| ~ sQ209_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f1362]) ).
fof(f1372,plain,
( ~ sQ231_spl
| ~ sQ209_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| sQ25_spl
| ~ sQ27_spl
| ~ sQ28_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
| ~ sQ44_spl
| ~ sQ45_spl
| sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| sQ61_spl
| sQ64_spl
| sQ65_spl
| ~ sQ67_spl
| sQ68_spl
| sQ69_spl
| sQ71_spl
| sQ72_spl
| sQ73_spl
| sQ74_spl
| sQ75_spl
| sQ76_spl
| sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| sQ87_spl
| sQ88_spl
| sQ89_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| sQ102_spl
| sQ103_spl
| sQ104_spl
| sQ105_spl
| ~ sQ107_spl
| sQ108_spl
| sQ111_spl
| sQ112_spl
| sQ114_spl
| sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| ~ sQ120_spl
| sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| sQ130_spl
| sQ131_spl
| sQ132_spl
| sQ133_spl
| sQ134_spl
| sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ141_spl
| ~ sQ142_spl
| sQ143_spl
| ~ sQ144_spl
| ~ sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| sQ149_spl
| sQ150_spl
| ~ sQ151_spl
| sQ152_spl
| sQ153_spl
| sQ155_spl
| sQ156_spl
| sQ158_spl
| ~ sQ160_spl
| sQ161_spl
| sQ163_spl
| ~ sQ165_spl
| sQ166_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
| sQ189_spl
| sQ190_spl
| ~ sQ192_spl
| ~ sQ193_spl
| ~ sQ194_spl
| sQ195_spl
| ~ sQ196_spl
| ~ sQ197_spl
| sQ198_spl
| sQ199_spl
| sQ200_spl
| sQ201_spl
| sQ202_spl
| sQ203_spl
| sQ204_spl
| ~ sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| ~ sQ209_spl
| ~ sQ210_spl
| sQ211_spl
| ~ sQ212_spl
| ~ sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| ~ sQ216_spl
| sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl
| sQ220_spl
| ~ sQ221_spl
| sQ222_spl
| sQ223_spl
| ~ sQ224_spl
| ~ sQ225_spl
| sQ226_spl
| ~ sQ227_spl
| sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| sQ231_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN528-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 11:06:19 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.062358 seconds
% 0.13/0.43 % CPU time: 0.207755 seconds
% 0.13/0.43 % Total memory used: 23.448 MB
% 0.13/0.43 % Net memory used: 23.305 MB
%------------------------------------------------------------------------------