%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN537-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:02 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,
c1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c5_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ c3_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ndr1_0
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c2_0
| ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c4_0
| c2_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c5_0
| c2_1(a659) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c5_0
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ssSkC2
| c3_1(a666) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC0
| ndr1_1(a643) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ssSkC0
| c4_1(a643) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c4_1(a674)
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c2_1(a674)
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ndr1_1(a669)
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c2_0
| ndr1_1(a667)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c4_0
| c2_0
| c3_1(a665) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c2_0
| c4_0
| ndr1_1(a660) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c5_0
| ~ c1_1(a659) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ssSkC5
| ~ c4_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ssSkC5
| ~ c5_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ssSkC4
| ~ c2_1(a678) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ssSkC4
| ~ c4_1(a678) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ssSkC3
| ~ c5_1(a672) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ssSkC3
| ~ c1_1(a672) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ssSkC2
| ~ c1_1(a666) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U] :
( ssSkP0(U)
| c4_2(U,a649) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U] :
( ssSkP0(U)
| c1_2(U,a649) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ssSkC0
| c5_2(a643,a644) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ssSkC0
| ~ c1_1(a643) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ~ c3_1(a680)
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( c1_2(a669,a670)
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ~ c5_0
| ~ c1_1(a669) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( c2_0
| ~ c4_1(a667)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( c4_0
| c2_0
| ~ c5_1(a665) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( c2_0
| c4_0
| c2_2(a660,a661) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( c2_0
| c4_0
| ~ c4_1(a660) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c5_2(U,a649) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ssSkC0
| ~ c2_2(a643,a644) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ndr1_1(a676)
| ~ c5_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c3_1(a676)
| ~ c5_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c4_1(a676)
| ~ c5_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ c5_0
| ~ c5_2(a669,a670) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ c5_0
| ~ c2_2(a669,a670) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c2_0
| ~ c4_2(a667,a668)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c2_0
| ~ c1_2(a667,a668)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( c2_0
| c4_0
| ~ c4_2(a660,a662) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( c2_0
| c4_0
| ~ c5_2(a660,a662) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( c2_0
| c4_0
| ~ c2_2(a660,a662) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( c2_0
| c4_0
| ~ c4_2(a660,a661) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( c2_0
| c4_0
| ~ c3_2(a660,a661) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ndr1_1(a651)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ~ c2_0
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ssSkC1
| c2_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( c1_2(a651,a652)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( ~ c5_0
| ~ c2_0
| ~ c4_2(a676,a677) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( ~ c5_0
| ~ c2_0
| ~ c2_2(a676,a677) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( ~ c5_0
| ~ c2_0
| ~ c3_2(a676,a677) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( ~ c1_0
| ~ c5_0
| ~ c5_2(a651,a652) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( ~ c1_0
| ~ c5_0
| ~ c2_2(a651,a652) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U] :
( c5_0
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U] :
( c3_0
| ndr1_1(U)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U] :
( ssSkC1
| c2_1(U)
| ~ ndr1_0
| ~ c4_2(U,a657) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U] :
( ssSkC1
| c2_1(U)
| ~ ndr1_0
| ~ c1_2(U,a657) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [U] :
( ssSkC1
| c2_1(U)
| ~ ndr1_0
| ~ c5_2(U,a657) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U] :
( c4_0
| c2_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( c3_0
| c5_2(U,a650)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( c3_0
| c4_2(U,a650)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( c5_0
| c3_0
| c1_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c1_1(U)
| c5_1(U)
| ~ c4_0
| ~ c4_1(a653)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( c1_1(U)
| c5_1(U)
| ~ c4_0
| ~ c1_1(a653)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( c5_0
| c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c2_2(U,a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c5_0
| c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c1_2(U,a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( c5_0
| c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_2(U,a656) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( c3_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ c3_2(U,a650)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( c5_0
| c3_0
| c1_1(U)
| c5_2(U,a647)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U] :
( ssSkC2
| c3_2(a666,U)
| ~ ndr1_1(a666)
| ~ c5_2(a666,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U] :
( c2_2(a680,U)
| ~ ndr1_1(a680)
| ~ c1_2(a680,U)
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( c4_0
| c2_0
| c5_2(a665,U)
| ~ ndr1_1(a665)
| ~ c1_2(a665,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U] :
( c4_0
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_2(U,a673)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U] :
( c4_0
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c4_2(U,a673)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U] :
( c4_0
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c1_2(U,a673)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U] :
( c5_0
| c3_0
| c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c2_2(U,a647) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U] :
( c5_0
| c3_0
| c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c1_2(U,a647) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U] :
( ssSkC5
| c3_2(a679,U)
| c5_2(a679,U)
| c1_2(a679,U)
| ~ ndr1_1(a679) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U] :
( ssSkC3
| c4_2(a672,U)
| c1_2(a672,U)
| ~ ndr1_1(a672)
| ~ c5_2(a672,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U] :
( c2_2(a669,U)
| c3_2(a669,U)
| ~ c5_0
| ~ ndr1_1(a669)
| ~ c4_2(a669,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U] :
( c5_0
| c5_2(a659,U)
| ~ ndr1_1(a659)
| ~ c3_2(a659,U)
| ~ c1_2(a659,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [U,V] :
( c1_2(a653,V)
| c3_2(a653,V)
| c1_1(U)
| c5_1(U)
| ~ c4_0
| ~ ndr1_1(a653)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [U,V] :
( ndr1_1(a654)
| c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [U] :
( c3_2(a651,U)
| c5_2(a651,U)
| ~ c1_0
| ~ c5_0
| ~ ndr1_1(a651)
| ~ c1_2(a651,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [U,V] :
( c5_2(a654,a655)
| c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [U,V] :
( c3_2(a654,a655)
| c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ c1_1(a654)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ c5_1(a654)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
! [U,V] :
( c3_0
| c4_1(U)
| c4_2(U,a658)
| c1_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
! [U,V] :
( c3_0
| c4_1(U)
| c5_2(U,a658)
| c1_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ c4_2(a654,a655)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
! [U,V] :
( c3_2(U,V)
| ~ c4_0
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(U)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [U,V] :
( c3_1(a675)
| c5_1(U)
| c1_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
! [U,V] :
( c5_1(a675)
| c5_1(U)
| c1_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
! [U,V,W] :
( c4_0
| c1_1(U)
| c4_2(U,W)
| c5_2(U,V)
| c3_2(U,V)
| ~ c3_1(a648)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,negated_conjecture,
! [U,V,W] :
( c1_1(V)
| c2_2(V,a640)
| c3_2(V,W)
| c3_1(U)
| ~ c5_0
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
! [U,V,W] :
( c1_1(V)
| c3_2(V,a640)
| c3_2(V,W)
| c3_1(U)
| ~ c5_0
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
! [U,V,W] :
( c1_1(V)
| c3_2(V,W)
| c3_1(U)
| ~ c5_0
| ~ c5_2(V,a640)
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
! [U,V,W,X] :
( c4_0
| c1_1(U)
| c4_2(U,W)
| c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(a648)
| ~ c3_2(a648,X)
| ~ c1_2(a648,X)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
! [U,V,W,X] :
( c4_0
| c4_2(a648,X)
| c1_1(U)
| c4_2(U,W)
| c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(a648)
| ~ c2_2(a648,X)
| ~ c5_2(a648,X)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,plain,
c1_0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f116,plain,
( c5_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f117,plain,
~ c3_0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
( ssSkC4
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f121,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f122,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f123,plain,
( ndr1_0
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f124,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f125,plain,
( ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f126,plain,
( c2_0
| ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f127,plain,
( c4_0
| c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f128,plain,
( c5_0
| c2_1(a659) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f129,plain,
( c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f130,plain,
( ssSkC2
| c3_1(a666) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f131,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f132,plain,
( ssSkC0
| ndr1_1(a643) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f133,plain,
( ssSkC0
| c4_1(a643) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f134,plain,
( c4_1(a674)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f135,plain,
( c2_1(a674)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f136,plain,
( ndr1_1(a669)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f137,plain,
( c2_0
| ndr1_1(a667)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f138,plain,
( c4_0
| c2_0
| c3_1(a665) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f139,plain,
( c2_0
| c4_0
| ndr1_1(a660) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f140,plain,
( c5_0
| ~ c1_1(a659) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f141,plain,
( ssSkC5
| ~ c4_1(a679) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f142,plain,
( ssSkC5
| ~ c5_1(a679) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f143,plain,
( ssSkC4
| ~ c2_1(a678) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f144,plain,
( ssSkC4
| ~ c4_1(a678) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f145,plain,
( ssSkC3
| ~ c5_1(a672) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f146,plain,
( ssSkC3
| ~ c1_1(a672) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f147,plain,
( ssSkC2
| ~ c1_1(a666) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f148,plain,
! [X0] :
( ssSkP0(X0)
| c4_2(X0,a649) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f149,plain,
! [X0] :
( ssSkP0(X0)
| c1_2(X0,a649) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f150,plain,
( ssSkC0
| c5_2(a643,a644) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f151,plain,
( ssSkC0
| ~ c1_1(a643) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f152,plain,
( ~ c3_1(a680)
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f153,plain,
( c1_2(a669,a670)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f154,plain,
( ~ c5_0
| ~ c1_1(a669) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f155,plain,
( c2_0
| ~ c4_1(a667)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f156,plain,
( c4_0
| c2_0
| ~ c5_1(a665) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f157,plain,
( c2_0
| c4_0
| c2_2(a660,a661) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f158,plain,
( c2_0
| c4_0
| ~ c4_1(a660) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f159,plain,
! [X0] :
( ssSkP0(X0)
| ~ c5_2(X0,a649) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f160,plain,
( ssSkC0
| ~ c2_2(a643,a644) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f161,plain,
( ndr1_1(a676)
| ~ c5_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f162,plain,
( c3_1(a676)
| ~ c5_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f163,plain,
( c4_1(a676)
| ~ c5_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f164,plain,
( ~ c5_0
| ~ c5_2(a669,a670) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f165,plain,
( ~ c5_0
| ~ c2_2(a669,a670) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f166,plain,
( c2_0
| ~ c4_2(a667,a668)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f167,plain,
( c2_0
| ~ c1_2(a667,a668)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f168,plain,
( c2_0
| c4_0
| ~ c4_2(a660,a662) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f169,plain,
( c2_0
| c4_0
| ~ c5_2(a660,a662) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f170,plain,
( c2_0
| c4_0
| ~ c2_2(a660,a662) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f171,plain,
( c2_0
| c4_0
| ~ c4_2(a660,a661) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f172,plain,
( c2_0
| c4_0
| ~ c3_2(a660,a661) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f173,plain,
( ndr1_1(a651)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f174,plain,
( ~ c2_0
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f175,plain,
( ssSkC1
| ! [U] :
( c2_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f176,plain,
! [X0] :
( ssSkC1
| c2_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( c1_2(a651,a652)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f178,plain,
( ~ c5_0
| ~ c2_0
| ~ c4_2(a676,a677) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f179,plain,
( ~ c5_0
| ~ c2_0
| ~ c2_2(a676,a677) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f180,plain,
( ~ c5_0
| ~ c2_0
| ~ c3_2(a676,a677) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f181,plain,
( ~ c1_0
| ~ c5_0
| ~ c5_2(a651,a652) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f182,plain,
( ~ c1_0
| ~ c5_0
| ~ c2_2(a651,a652) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f183,plain,
( c5_0
| ! [U] :
( c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f184,plain,
! [X0] :
( c5_0
| c5_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( c3_0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f186,plain,
! [X0] :
( c3_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( ssSkC1
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c4_2(U,a657) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f188,plain,
! [X0] :
( ssSkC1
| c2_1(X0)
| ~ ndr1_0
| ~ c4_2(X0,a657) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f189,plain,
( ssSkC1
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c1_2(U,a657) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f190,plain,
! [X0] :
( ssSkC1
| c2_1(X0)
| ~ ndr1_0
| ~ c1_2(X0,a657) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f191,plain,
( ssSkC1
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c5_2(U,a657) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f192,plain,
! [X0] :
( ssSkC1
| c2_1(X0)
| ~ ndr1_0
| ~ c5_2(X0,a657) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( c4_0
| ! [U] :
( c2_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f194,plain,
! [X0] :
( c4_0
| c2_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( c3_0
| ! [U] :
( c5_2(U,a650)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f196,plain,
! [X0] :
( c3_0
| c5_2(X0,a650)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( c3_0
| ! [U] :
( c4_2(U,a650)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f198,plain,
! [X0] :
( c3_0
| c4_2(X0,a650)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( c5_0
| c3_0
| ! [U] :
( c1_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f200,plain,
! [X0] :
( c5_0
| c3_0
| c1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0] :
( c1_1(X0)
| c5_1(X0)
| ~ c4_0
| ~ c4_1(a653)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f202,plain,
! [X0] :
( c1_1(X0)
| c5_1(X0)
| ~ c4_0
| ~ c1_1(a653)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f203,plain,
( c5_0
| ! [U] :
( c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c2_2(U,a656) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f204,plain,
! [X0] :
( c5_0
| c5_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c2_2(X0,a656) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( c5_0
| ! [U] :
( c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c1_2(U,a656) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f206,plain,
! [X0] :
( c5_0
| c5_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_2(X0,a656) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( c5_0
| ! [U] :
( c5_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_2(U,a656) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f208,plain,
! [X0] :
( c5_0
| c5_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_2(X0,a656) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( c3_0
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c3_2(U,a650)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f210,plain,
! [X0] :
( c3_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c3_2(X0,a650)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( c5_0
| c3_0
| ! [U] :
( c1_1(U)
| c5_2(U,a647)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f212,plain,
! [X0] :
( c5_0
| c3_0
| c1_1(X0)
| c5_2(X0,a647)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( ssSkC2
| ! [U] :
( c3_2(a666,U)
| ~ ndr1_1(a666)
| ~ c5_2(a666,U) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f214,plain,
! [X0] :
( ssSkC2
| c3_2(a666,X0)
| ~ ndr1_1(a666)
| ~ c5_2(a666,X0) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0] :
( c2_2(a680,X0)
| ~ ndr1_1(a680)
| ~ c1_2(a680,X0)
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f216,plain,
( c4_0
| c2_0
| ! [U] :
( c5_2(a665,U)
| ~ ndr1_1(a665)
| ~ c1_2(a665,U) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f217,plain,
! [X0] :
( c4_0
| c2_0
| c5_2(a665,X0)
| ~ ndr1_1(a665)
| ~ c1_2(a665,X0) ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
( c4_0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_2(U,a673)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f219,plain,
! [X0] :
( c4_0
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_2(X0,a673)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
( c4_0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c4_2(U,a673)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f221,plain,
! [X0] :
( c4_0
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c4_2(X0,a673)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( c4_0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c1_2(U,a673)
| ~ ssSkC3 ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f223,plain,
! [X0] :
( c4_0
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_2(X0,a673)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
( c5_0
| c3_0
| ! [U] :
( c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c2_2(U,a647) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f225,plain,
! [X0] :
( c5_0
| c3_0
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c2_2(X0,a647) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f226,plain,
( c5_0
| c3_0
| ! [U] :
( c1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ c1_2(U,a647) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f227,plain,
! [X0] :
( c5_0
| c3_0
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_2(X0,a647) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
( ssSkC5
| ! [U] :
( c3_2(a679,U)
| c5_2(a679,U)
| c1_2(a679,U)
| ~ ndr1_1(a679) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f229,plain,
! [X0] :
( ssSkC5
| c3_2(a679,X0)
| c5_2(a679,X0)
| c1_2(a679,X0)
| ~ ndr1_1(a679) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
( ssSkC3
| ! [U] :
( c4_2(a672,U)
| c1_2(a672,U)
| ~ ndr1_1(a672)
| ~ c5_2(a672,U) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f231,plain,
! [X0] :
( ssSkC3
| c4_2(a672,X0)
| c1_2(a672,X0)
| ~ ndr1_1(a672)
| ~ c5_2(a672,X0) ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,plain,
! [X0] :
( c2_2(a669,X0)
| c3_2(a669,X0)
| ~ c5_0
| ~ ndr1_1(a669)
| ~ c4_2(a669,X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f233,plain,
( c5_0
| ! [U] :
( c5_2(a659,U)
| ~ ndr1_1(a659)
| ~ c3_2(a659,U)
| ~ c1_2(a659,U) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f234,plain,
! [X0] :
( c5_0
| c5_2(a659,X0)
| ~ ndr1_1(a659)
| ~ c3_2(a659,X0)
| ~ c1_2(a659,X0) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
! [V] :
( c1_2(a653,V)
| c3_2(a653,V)
| ! [U] :
( c1_1(U)
| c5_1(U)
| ~ c4_0
| ~ ndr1_1(a653)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f236,plain,
! [X0,X1] :
( c1_2(a653,X1)
| c3_2(a653,X1)
| c1_1(X0)
| c5_1(X0)
| ~ c4_0
| ~ ndr1_1(a653)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( ndr1_1(a654)
| ! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f238,plain,
! [X0,X1] :
( ndr1_1(a654)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
! [X0] :
( c3_2(a651,X0)
| c5_2(a651,X0)
| ~ c1_0
| ~ c5_0
| ~ ndr1_1(a651)
| ~ c1_2(a651,X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f240,plain,
( c5_2(a654,a655)
| ! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f241,plain,
! [X0,X1] :
( c5_2(a654,a655)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
( c3_2(a654,a655)
| ! [U,V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f243,plain,
! [X0,X1] :
( c3_2(a654,a655)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
! [X0,X1] :
( c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ c1_1(a654)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f245,plain,
! [X0,X1] :
( c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ c5_1(a654)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f246,plain,
( c3_0
| ! [U] :
( c4_1(U)
| c4_2(U,a658)
| ! [V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ ssSkC1 ) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f247,plain,
! [X0,X1] :
( c3_0
| c4_1(X0)
| c4_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
( c3_0
| ! [U] :
( c4_1(U)
| c5_2(U,a658)
| ! [V] :
( c1_2(U,V)
| c5_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ ssSkC1 ) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f249,plain,
! [X0,X1] :
( c3_0
| c4_1(X0)
| c5_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( c1_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_0
| ~ c4_2(a654,a655)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f251,plain,
! [X0,X1] :
( c3_2(X0,X1)
| ~ c4_0
| ~ c1_0
| ~ ndr1_0
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f252,plain,
( c3_1(a675)
| ! [U] :
( c5_1(U)
| ! [V] :
( c1_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f253,plain,
! [X0,X1] :
( c3_1(a675)
| c5_1(X0)
| c1_2(X0,X1)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
( c5_1(a675)
| ! [U] :
( c5_1(U)
| ! [V] :
( c1_2(U,V)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f255,plain,
! [X0,X1] :
( c5_1(a675)
| c5_1(X0)
| c1_2(X0,X1)
| ~ c5_0
| ~ ndr1_0
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
( c4_0
| ! [U] :
( c1_1(U)
| ! [W] :
( c4_2(U,W)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ c3_1(a648)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f257,plain,
! [X0,X1,X2] :
( c4_0
| c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c3_1(a648)
| ~ ndr1_0
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
! [V] :
( c1_1(V)
| c2_2(V,a640)
| ! [W] :
( c3_2(V,W)
| ! [U] :
( c3_1(U)
| ~ c5_0
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f259,plain,
! [X0,X1,X2] :
( c1_1(X1)
| c2_2(X1,a640)
| c3_2(X1,X2)
| c3_1(X0)
| ~ c5_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
! [V] :
( c1_1(V)
| c3_2(V,a640)
| ! [W] :
( c3_2(V,W)
| ! [U] :
( c3_1(U)
| ~ c5_0
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f261,plain,
! [X0,X1,X2] :
( c1_1(X1)
| c3_2(X1,a640)
| c3_2(X1,X2)
| c3_1(X0)
| ~ c5_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
! [V] :
( c1_1(V)
| ! [W] :
( c3_2(V,W)
| ! [U] :
( c3_1(U)
| ~ c5_0
| ~ c5_2(V,a640)
| ~ ndr1_1(V)
| ~ c1_2(V,W)
| ~ c2_2(V,W)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f263,plain,
! [X0,X1,X2] :
( c1_1(X1)
| c3_2(X1,X2)
| c3_1(X0)
| ~ c5_0
| ~ c5_2(X1,a640)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
( c4_0
| ! [U] :
( c1_1(U)
| ! [W] :
( c4_2(U,W)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(a648)
| ! [X] :
( ~ c3_2(a648,X)
| ~ c1_2(a648,X)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( c4_0
| c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(a648)
| ~ c3_2(a648,X3)
| ~ c1_2(a648,X3)
| ~ ndr1_0
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
( c4_0
| ! [X] :
( c4_2(a648,X)
| ! [U] :
( c1_1(U)
| ! [W] :
( c4_2(U,W)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(a648)
| ~ c2_2(a648,X)
| ~ c5_2(a648,X)
| ~ ndr1_0
| ~ c1_2(U,W)
| ~ ndr1_1(U)
| ~ c1_2(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f114]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( c4_0
| c4_2(a648,X3)
| c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(a648)
| ~ c2_2(a648,X3)
| ~ c5_2(a648,X3)
| ~ ndr1_0
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f268,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ1_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ1_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ1_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f116,f268,f271]) ).
fof(f275,definition,
( sQ2_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ2_spl
| ssSkC5 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f118,f268,f275]) ).
fof(f279,definition,
( sQ3_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ3_spl
| ~ ssSkC4 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f119,f268,f279]) ).
fof(f283,definition,
( sQ4_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f120,f268,f283]) ).
fof(f287,definition,
( sQ5_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ5_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f121,f268,f287]) ).
fof(f291,definition,
( sQ6_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ6_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f122,f268,f291]) ).
fof(f295,plain,
( sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f123,f279,f275,f268]) ).
fof(f296,definition,
( sQ7_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ7_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( sQ0_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f124,f296,f268]) ).
fof(f300,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f125,f271,f268]) ).
fof(f301,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f126,f287,f268,f296]) ).
fof(f302,definition,
( sQ8_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ8_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ8_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ8_spl
| sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f268,f296,f302]) ).
fof(f306,definition,
( sQ9_spl
<=> c2_1(a659) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ9_spl
| c2_1(a659) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f128,f306,f271]) ).
fof(f310,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f129,f302,f271]) ).
fof(f311,definition,
( sQ10_spl
<=> c3_1(a666) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ10_spl
| c3_1(a666) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f130,f311,f287]) ).
fof(f315,definition,
( sQ11_spl
<=> ndr1_1(a643) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ11_spl
| ndr1_1(a643) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ11_spl
| ~ ndr1_1(a643) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f132,f315,f291]) ).
fof(f319,definition,
( sQ12_spl
<=> c4_1(a643) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ12_spl
| c4_1(a643) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ12_spl
| ~ c4_1(a643) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f133,f319,f291]) ).
fof(f323,definition,
( sQ13_spl
<=> c4_1(a674) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ13_spl
| c4_1(a674) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ13_spl
| ~ c4_1(a674) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f134,f296,f323]) ).
fof(f327,definition,
( sQ14_spl
<=> c2_1(a674) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ14_spl
| c2_1(a674) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( sQ14_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f135,f296,f327]) ).
fof(f331,definition,
( sQ15_spl
<=> ndr1_1(a669) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ15_spl
| ndr1_1(a669) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( sQ15_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f136,f271,f331]) ).
fof(f335,definition,
( sQ16_spl
<=> ndr1_1(a667) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ16_spl
| ndr1_1(a667) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( sQ7_spl
| sQ16_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f137,f287,f335,f296]) ).
fof(f339,definition,
( sQ17_spl
<=> c3_1(a665) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ17_spl
| c3_1(a665) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ8_spl
| sQ7_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f138,f339,f296,f302]) ).
fof(f343,definition,
( sQ18_spl
<=> ndr1_1(a660) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ18_spl
| ndr1_1(a660) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ18_spl
| ~ ndr1_1(a660) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ7_spl
| sQ8_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f139,f343,f302,f296]) ).
fof(f347,definition,
( sQ19_spl
<=> c1_1(a659) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ19_spl
| ~ c1_1(a659) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ1_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f140,f347,f271]) ).
fof(f351,definition,
( sQ20_spl
<=> c4_1(a679) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( sQ20_spl
| ~ c4_1(a679) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( sQ2_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f141,f351,f275]) ).
fof(f355,definition,
( sQ21_spl
<=> c5_1(a679) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( sQ21_spl
| ~ c5_1(a679) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ2_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f142,f355,f275]) ).
fof(f359,definition,
( sQ22_spl
<=> c2_1(a678) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ22_spl
| ~ c2_1(a678) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( sQ3_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f143,f359,f279]) ).
fof(f363,definition,
( sQ23_spl
<=> c4_1(a678) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( sQ23_spl
| ~ c4_1(a678) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ3_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f144,f363,f279]) ).
fof(f367,definition,
( sQ24_spl
<=> c5_1(a672) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ24_spl
| ~ c5_1(a672) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ4_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f145,f367,f283]) ).
fof(f371,definition,
( sQ25_spl
<=> c1_1(a672) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( sQ25_spl
| ~ c1_1(a672) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ4_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f146,f371,f283]) ).
fof(f375,definition,
( sQ26_spl
<=> c1_1(a666) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ26_spl
| ~ c1_1(a666) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ5_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f147,f375,f287]) ).
fof(f379,definition,
( sQ27_spl
<=> c5_2(a643,a644) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ27_spl
| c5_2(a643,a644) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ6_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f150,f379,f291]) ).
fof(f383,definition,
( sQ28_spl
<=> c1_1(a643) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ28_spl
| ~ c1_1(a643) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ6_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f151,f383,f291]) ).
fof(f387,definition,
( sQ29_spl
<=> c3_1(a680) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ29_spl
| c3_1(a680) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ29_spl
| ~ c3_1(a680) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( ~ sQ29_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f152,f279,f275,f387]) ).
fof(f391,definition,
( sQ30_spl
<=> c1_2(a669,a670) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ30_spl
| c1_2(a669,a670) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ30_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f153,f271,f391]) ).
fof(f395,definition,
( sQ31_spl
<=> c1_1(a669) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ31_spl
| ~ c1_1(a669) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ1_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f154,f395,f271]) ).
fof(f399,definition,
( sQ32_spl
<=> c4_1(a667) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ32_spl
| ~ c4_1(a667) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ7_spl
| ~ sQ32_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f155,f287,f399,f296]) ).
fof(f403,definition,
( sQ33_spl
<=> c5_1(a665) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ33_spl
| ~ c5_1(a665) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ8_spl
| sQ7_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f156,f403,f296,f302]) ).
fof(f407,definition,
( sQ34_spl
<=> c2_2(a660,a661) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ34_spl
| c2_2(a660,a661) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ34_spl
| ~ c2_2(a660,a661) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ7_spl
| sQ8_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f157,f407,f302,f296]) ).
fof(f411,definition,
( sQ35_spl
<=> c4_1(a660) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ35_spl
| c4_1(a660) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ35_spl
| ~ c4_1(a660) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f158,f411,f302,f296]) ).
fof(f415,definition,
( sQ36_spl
<=> c2_2(a643,a644) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ36_spl
| ~ c2_2(a643,a644) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ6_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f160,f415,f291]) ).
fof(f419,definition,
( sQ37_spl
<=> ndr1_1(a676) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ37_spl
| ndr1_1(a676) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ37_spl
| ~ ndr1_1(a676) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ37_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f161,f296,f271,f419]) ).
fof(f423,definition,
( sQ38_spl
<=> c3_1(a676) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ38_spl
| c3_1(a676) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ38_spl
| ~ c3_1(a676) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ38_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f162,f296,f271,f423]) ).
fof(f427,definition,
( sQ39_spl
<=> c4_1(a676) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ39_spl
| c4_1(a676) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ39_spl
| ~ c4_1(a676) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ39_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f163,f296,f271,f427]) ).
fof(f431,definition,
( sQ40_spl
<=> c5_2(a669,a670) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ40_spl
| ~ c5_2(a669,a670) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( ~ sQ1_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f164,f431,f271]) ).
fof(f435,definition,
( sQ41_spl
<=> c2_2(a669,a670) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ41_spl
| ~ c2_2(a669,a670) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( ~ sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f165,f435,f271]) ).
fof(f439,definition,
( sQ42_spl
<=> c4_2(a667,a668) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ42_spl
| ~ c4_2(a667,a668) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ7_spl
| ~ sQ42_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f166,f287,f439,f296]) ).
fof(f443,definition,
( sQ43_spl
<=> c1_2(a667,a668) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ43_spl
| ~ c1_2(a667,a668) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ7_spl
| ~ sQ43_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f167,f287,f443,f296]) ).
fof(f447,definition,
( sQ44_spl
<=> c4_2(a660,a662) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ44_spl
| ~ c4_2(a660,a662) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f168,f447,f302,f296]) ).
fof(f451,definition,
( sQ45_spl
<=> c5_2(a660,a662) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ45_spl
| ~ c5_2(a660,a662) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f169,f451,f302,f296]) ).
fof(f455,definition,
( sQ46_spl
<=> c2_2(a660,a662) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ46_spl
| ~ c2_2(a660,a662) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f170,f455,f302,f296]) ).
fof(f459,definition,
( sQ47_spl
<=> c4_2(a660,a661) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ47_spl
| ~ c4_2(a660,a661) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f171,f459,f302,f296]) ).
fof(f463,definition,
( sQ48_spl
<=> c3_2(a660,a661) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ48_spl
| c3_2(a660,a661) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ48_spl
| ~ c3_2(a660,a661) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ7_spl
| sQ8_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f172,f463,f302,f296]) ).
fof(f467,definition,
( sQ49_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ49_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ50_spl
<=> ndr1_1(a651) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ50_spl
| ndr1_1(a651) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( sQ50_spl
| ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f173,f271,f467,f470]) ).
fof(f474,plain,
( ~ sQ7_spl
| ~ sQ49_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f174,f302,f467,f296]) ).
fof(f475,definition,
! [X0] :
( sQ51_spl
<=> ( c2_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f476,plain,
! [X0] :
( ~ sQ51_spl
| c2_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ52_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ52_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( sQ52_spl
| sQ51_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f176,f268,f475,f478]) ).
fof(f482,definition,
( sQ53_spl
<=> c1_2(a651,a652) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ53_spl
| c1_2(a651,a652) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( sQ53_spl
| ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f177,f271,f467,f482]) ).
fof(f486,definition,
( sQ54_spl
<=> c4_2(a676,a677) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ54_spl
| ~ c4_2(a676,a677) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f178,f486,f296,f271]) ).
fof(f490,definition,
( sQ55_spl
<=> c2_2(a676,a677) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ55_spl
| ~ c2_2(a676,a677) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f179,f490,f296,f271]) ).
fof(f494,definition,
( sQ56_spl
<=> c3_2(a676,a677) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ56_spl
| ~ c3_2(a676,a677) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f180,f494,f296,f271]) ).
fof(f498,definition,
( sQ57_spl
<=> c5_2(a651,a652) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ57_spl
| ~ c5_2(a651,a652) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f181,f498,f271,f467]) ).
fof(f502,definition,
( sQ58_spl
<=> c2_2(a651,a652) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ58_spl
| ~ c2_2(a651,a652) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f182,f502,f271,f467]) ).
fof(f506,definition,
! [X0] :
( sQ59_spl
<=> ( c5_1(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f507,plain,
! [X0] :
( ~ sQ59_spl
| c5_1(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ1_spl
| ~ sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f184,f506,f268,f271]) ).
fof(f510,definition,
! [X0] :
( sQ60_spl
<=> ( ndr1_1(X0)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f511,plain,
! [X0] :
( ~ sQ60_spl
| ndr1_1(X0)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ61_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ61_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f186,f510,f268,f513]) ).
fof(f517,definition,
! [X0] :
( sQ62_spl
<=> ( c2_1(X0)
| ~ c4_2(X0,a657) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f518,plain,
! [X0] :
( ~ sQ62_spl
| c2_1(X0)
| ~ c4_2(X0,a657) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( sQ52_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f188,f517,f268,f478]) ).
fof(f521,definition,
! [X0] :
( sQ63_spl
<=> ( c2_1(X0)
| ~ c1_2(X0,a657) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f522,plain,
! [X0] :
( ~ sQ63_spl
| c2_1(X0)
| ~ c1_2(X0,a657) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( sQ52_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f190,f521,f268,f478]) ).
fof(f525,definition,
! [X0] :
( sQ64_spl
<=> ( c2_1(X0)
| ~ c5_2(X0,a657) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f526,plain,
! [X0] :
( ~ sQ64_spl
| c2_1(X0)
| ~ c5_2(X0,a657) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( sQ52_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f192,f525,f268,f478]) ).
fof(f529,definition,
! [X0] :
( sQ65_spl
<=> ( c2_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f530,plain,
! [X0] :
( ~ sQ65_spl
| c2_1(X0)
| ndr1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( sQ8_spl
| ~ sQ0_spl
| sQ65_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f194,f283,f529,f268,f302]) ).
fof(f533,definition,
! [X0] :
( sQ66_spl
<=> ( c5_2(X0,a650)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f534,plain,
! [X0] :
( ~ sQ66_spl
| c5_2(X0,a650)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f196,f533,f268,f513]) ).
fof(f537,definition,
! [X0] :
( sQ67_spl
<=> ( c4_2(X0,a650)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f538,plain,
! [X0] :
( ~ sQ67_spl
| c4_2(X0,a650)
| ~ c4_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f198,f537,f268,f513]) ).
fof(f541,definition,
! [X0] :
( sQ68_spl
<=> ( c1_1(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f542,plain,
! [X0] :
( ~ sQ68_spl
| c1_1(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( sQ1_spl
| sQ61_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f200,f541,f268,f513,f271]) ).
fof(f545,definition,
( sQ69_spl
<=> c4_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( sQ69_spl
| ~ c4_1(a653) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
! [X0] :
( sQ70_spl
<=> ( c1_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f549,plain,
! [X0] :
( ~ sQ70_spl
| c1_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( sQ70_spl
| ~ sQ8_spl
| ~ sQ69_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f201,f268,f545,f302,f548]) ).
fof(f552,definition,
( sQ71_spl
<=> c1_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ71_spl
| ~ c1_1(a653) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( sQ70_spl
| ~ sQ8_spl
| ~ sQ71_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f202,f268,f552,f302,f548]) ).
fof(f556,definition,
! [X0] :
( sQ72_spl
<=> ( c5_1(X0)
| ~ c2_1(X0)
| ~ c2_2(X0,a656) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f557,plain,
! [X0] :
( ~ sQ72_spl
| c5_1(X0)
| ~ c2_1(X0)
| ~ c2_2(X0,a656) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( sQ1_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f204,f556,f268,f271]) ).
fof(f560,definition,
! [X0] :
( sQ73_spl
<=> ( c5_1(X0)
| ~ c2_1(X0)
| ~ c1_2(X0,a656) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f561,plain,
! [X0] :
( ~ sQ73_spl
| c5_1(X0)
| ~ c2_1(X0)
| ~ c1_2(X0,a656) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( sQ1_spl
| ~ sQ0_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f206,f560,f268,f271]) ).
fof(f564,definition,
! [X0] :
( sQ74_spl
<=> ( c5_1(X0)
| ~ c2_1(X0)
| ~ c3_2(X0,a656) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f565,plain,
! [X0] :
( ~ sQ74_spl
| c5_1(X0)
| ~ c2_1(X0)
| ~ c3_2(X0,a656) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ1_spl
| ~ sQ0_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f208,f564,f268,f271]) ).
fof(f568,definition,
! [X0] :
( sQ75_spl
<=> ( ~ c4_1(X0)
| ~ c3_2(X0,a650)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f569,plain,
! [X0] :
( ~ sQ75_spl
| ~ c4_1(X0)
| ~ c3_2(X0,a650)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f210,f568,f268,f513]) ).
fof(f572,definition,
! [X0] :
( sQ76_spl
<=> ( c1_1(X0)
| c5_2(X0,a647)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f573,plain,
! [X0] :
( ~ sQ76_spl
| c1_1(X0)
| c5_2(X0,a647)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( sQ1_spl
| sQ61_spl
| ~ sQ0_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f212,f572,f268,f513,f271]) ).
fof(f576,definition,
! [X0] :
( sQ77_spl
<=> ( c3_2(a666,X0)
| ~ c5_2(a666,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f577,plain,
! [X0] :
( ~ sQ77_spl
| c3_2(a666,X0)
| ~ c5_2(a666,X0) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ78_spl
<=> ndr1_1(a666) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ78_spl
| ~ ndr1_1(a666) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( sQ5_spl
| ~ sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f214,f576,f579,f287]) ).
fof(f583,definition,
! [X0] :
( sQ79_spl
<=> ( c2_2(a680,X0)
| ~ c1_2(a680,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f584,plain,
! [X0] :
( ~ sQ79_spl
| c2_2(a680,X0)
| ~ c1_2(a680,X0) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ80_spl
<=> ndr1_1(a680) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ80_spl
| ndr1_1(a680) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( sQ80_spl
| ~ ndr1_1(a680) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( ~ sQ80_spl
| sQ79_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f215,f279,f275,f583,f586]) ).
fof(f590,definition,
! [X0] :
( sQ81_spl
<=> ( c5_2(a665,X0)
| ~ c1_2(a665,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f591,plain,
! [X0] :
( ~ sQ81_spl
| c5_2(a665,X0)
| ~ c1_2(a665,X0) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ82_spl
<=> ndr1_1(a665) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( sQ82_spl
| ~ ndr1_1(a665) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( sQ8_spl
| sQ7_spl
| ~ sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f217,f590,f593,f296,f302]) ).
fof(f597,definition,
! [X0] :
( sQ83_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c5_2(X0,a673) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f598,plain,
! [X0] :
( ~ sQ83_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c5_2(X0,a673) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( sQ8_spl
| ~ sQ0_spl
| sQ83_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f219,f283,f597,f268,f302]) ).
fof(f601,definition,
! [X0] :
( sQ84_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,a673) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f602,plain,
! [X0] :
( ~ sQ84_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c4_2(X0,a673) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ8_spl
| ~ sQ0_spl
| sQ84_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f221,f283,f601,f268,f302]) ).
fof(f605,definition,
! [X0] :
( sQ85_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c1_2(X0,a673) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f606,plain,
! [X0] :
( ~ sQ85_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_2(X0,a673) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( sQ8_spl
| ~ sQ0_spl
| sQ85_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f223,f283,f605,f268,f302]) ).
fof(f609,definition,
! [X0] :
( sQ86_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c2_2(X0,a647) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f610,plain,
! [X0] :
( ~ sQ86_spl
| c1_1(X0)
| ~ c2_1(X0)
| ~ c2_2(X0,a647) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( sQ1_spl
| sQ61_spl
| ~ sQ0_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f225,f609,f268,f513,f271]) ).
fof(f613,definition,
! [X0] :
( sQ87_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c1_2(X0,a647) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f614,plain,
! [X0] :
( ~ sQ87_spl
| c1_1(X0)
| ~ c2_1(X0)
| ~ c1_2(X0,a647) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( sQ1_spl
| sQ61_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f227,f613,f268,f513,f271]) ).
fof(f617,definition,
( sQ88_spl
<=> ndr1_1(a679) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ88_spl
| ndr1_1(a679) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( sQ88_spl
| ~ ndr1_1(a679) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
! [X0] :
( sQ89_spl
<=> ( c3_2(a679,X0)
| c5_2(a679,X0)
| c1_2(a679,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0] :
( ~ sQ89_spl
| c3_2(a679,X0)
| c5_2(a679,X0)
| c1_2(a679,X0) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( sQ2_spl
| sQ89_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f229,f617,f620,f275]) ).
fof(f624,definition,
! [X0] :
( sQ90_spl
<=> ( c4_2(a672,X0)
| c1_2(a672,X0)
| ~ c5_2(a672,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0] :
( ~ sQ90_spl
| c4_2(a672,X0)
| c1_2(a672,X0)
| ~ c5_2(a672,X0) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ91_spl
<=> ndr1_1(a672) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( sQ91_spl
| ~ ndr1_1(a672) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ4_spl
| ~ sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f231,f624,f627,f283]) ).
fof(f631,definition,
! [X0] :
( sQ92_spl
<=> ( c2_2(a669,X0)
| c3_2(a669,X0)
| ~ c4_2(a669,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f632,plain,
! [X0] :
( ~ sQ92_spl
| c2_2(a669,X0)
| c3_2(a669,X0)
| ~ c4_2(a669,X0) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f232,f631,f331,f271]) ).
fof(f635,definition,
! [X0] :
( sQ93_spl
<=> ( c5_2(a659,X0)
| ~ c3_2(a659,X0)
| ~ c1_2(a659,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f636,plain,
! [X0] :
( ~ sQ93_spl
| c5_2(a659,X0)
| ~ c3_2(a659,X0)
| ~ c1_2(a659,X0) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ94_spl
<=> ndr1_1(a659) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( sQ94_spl
| ~ ndr1_1(a659) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( sQ1_spl
| ~ sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f234,f635,f638,f271]) ).
fof(f642,definition,
( sQ95_spl
<=> ndr1_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ95_spl
| ~ ndr1_1(a653) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
! [X1] :
( sQ96_spl
<=> ( c1_2(a653,X1)
| c3_2(a653,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f646,plain,
! [X0] :
( ~ sQ96_spl
| c1_2(a653,X0)
| c3_2(a653,X0) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( sQ96_spl
| sQ70_spl
| ~ sQ8_spl
| ~ sQ95_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f236,f268,f642,f302,f548,f645]) ).
fof(f649,definition,
! [X0,X1] :
( sQ97_spl
<=> ( c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f650,plain,
! [X0,X1] :
( ~ sQ97_spl
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,definition,
( sQ98_spl
<=> ndr1_1(a654) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ98_spl
| ndr1_1(a654) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( sQ98_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f238,f649,f268,f296,f652]) ).
fof(f656,definition,
! [X0] :
( sQ99_spl
<=> ( c3_2(a651,X0)
| c5_2(a651,X0)
| ~ c1_2(a651,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f657,plain,
! [X0] :
( ~ sQ99_spl
| c3_2(a651,X0)
| c5_2(a651,X0)
| ~ c1_2(a651,X0) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| ~ sQ50_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f239,f656,f470,f271,f467]) ).
fof(f660,definition,
( sQ100_spl
<=> c5_2(a654,a655) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ100_spl
| c5_2(a654,a655) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( sQ100_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f241,f649,f268,f296,f660]) ).
fof(f664,definition,
( sQ101_spl
<=> c3_2(a654,a655) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ101_spl
| c3_2(a654,a655) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( sQ101_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f243,f649,f268,f296,f664]) ).
fof(f668,definition,
( sQ102_spl
<=> c1_1(a654) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( sQ102_spl
| ~ c1_1(a654) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f244,f649,f268,f668,f296]) ).
fof(f672,definition,
( sQ103_spl
<=> c5_1(a654) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( sQ103_spl
| ~ c5_1(a654) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( ~ sQ7_spl
| ~ sQ103_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f245,f649,f268,f672,f296]) ).
fof(f676,definition,
! [X0,X1] :
( sQ104_spl
<=> ( c4_1(X0)
| c4_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f677,plain,
! [X0,X1] :
( ~ sQ104_spl
| c4_1(X0)
| c4_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ104_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f247,f478,f676,f268,f513]) ).
fof(f680,definition,
! [X0,X1] :
( sQ105_spl
<=> ( c4_1(X0)
| c5_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sQ105_spl
| c4_1(X0)
| c5_2(X0,a658)
| c1_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( sQ61_spl
| ~ sQ0_spl
| sQ105_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f249,f478,f680,f268,f513]) ).
fof(f684,definition,
( sQ106_spl
<=> c4_2(a654,a655) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( sQ106_spl
| ~ c4_2(a654,a655) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( ~ sQ7_spl
| ~ sQ106_spl
| ~ sQ0_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f250,f649,f268,f684,f296]) ).
fof(f688,definition,
! [X0,X1] :
( sQ107_spl
<=> ( c3_2(X0,X1)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f689,plain,
! [X0,X1] :
( ~ sQ107_spl
| c3_2(X0,X1)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ8_spl
| ~ sQ49_spl
| ~ sQ0_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f251,f688,f268,f467,f302]) ).
fof(f692,definition,
! [X0,X1] :
( sQ108_spl
<=> ( c5_1(X0)
| c1_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f693,plain,
! [X0,X1] :
( ~ sQ108_spl
| c5_1(X0)
| c1_2(X0,X1)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ109_spl
<=> c3_1(a675) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ109_spl
| c3_1(a675) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( sQ109_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f253,f692,f268,f271,f695]) ).
fof(f699,definition,
( sQ110_spl
<=> c5_1(a675) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ110_spl
| c5_1(a675) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( sQ110_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f255,f692,f268,f271,f699]) ).
fof(f703,definition,
! [X0,X1,X2] :
( sQ111_spl
<=> ( c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ112_spl
<=> c3_1(a648) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( sQ112_spl
| ~ c3_1(a648) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( sQ8_spl
| ~ sQ112_spl
| ~ sQ0_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f257,f703,f268,f706,f302]) ).
fof(f710,definition,
! [X0] :
( sQ113_spl
<=> ( c3_1(X0)
| ~ c5_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f711,plain,
! [X0] :
( ~ sQ113_spl
| c3_1(X0)
| ~ c5_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
! [X1,X2] :
( sQ114_spl
<=> ( c1_1(X1)
| c2_2(X1,a640)
| c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f714,plain,
! [X0,X1] :
( ~ sQ114_spl
| c1_1(X0)
| c2_2(X0,a640)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( ~ sQ1_spl
| sQ114_spl
| ~ sQ0_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f259,f710,f268,f713,f271]) ).
fof(f717,definition,
! [X1,X2] :
( sQ115_spl
<=> ( c1_1(X1)
| c3_2(X1,a640)
| c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f718,plain,
! [X0,X1] :
( ~ sQ115_spl
| c1_1(X0)
| c3_2(X0,a640)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( ~ sQ1_spl
| sQ115_spl
| ~ sQ0_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f261,f710,f268,f717,f271]) ).
fof(f721,definition,
! [X1,X2] :
( sQ116_spl
<=> ( c1_1(X1)
| c3_2(X1,X2)
| ~ c5_2(X1,a640)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c2_2(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f722,plain,
! [X0,X1] :
( ~ sQ116_spl
| c1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,a640)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( ~ sQ1_spl
| sQ116_spl
| ~ sQ0_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f263,f710,f268,f721,f271]) ).
fof(f725,definition,
! [X3] :
( sQ117_spl
<=> ( ~ c3_2(a648,X3)
| ~ c1_2(a648,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f726,plain,
! [X0] :
( ~ sQ117_spl
| ~ c3_2(a648,X0)
| ~ c1_2(a648,X0) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ118_spl
<=> ndr1_1(a648) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( sQ118_spl
| ~ ndr1_1(a648) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( sQ8_spl
| ~ sQ118_spl
| sQ117_spl
| ~ sQ0_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f265,f703,f268,f725,f728,f302]) ).
fof(f732,definition,
! [X3] :
( sQ119_spl
<=> ( c4_2(a648,X3)
| ~ c2_2(a648,X3)
| ~ c5_2(a648,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f733,plain,
! [X0] :
( ~ sQ119_spl
| c4_2(a648,X0)
| ~ c2_2(a648,X0)
| ~ c5_2(a648,X0) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ8_spl
| ~ sQ118_spl
| sQ119_spl
| ~ sQ0_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f267,f703,f268,f732,f728,f302]) ).
fof(f736,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f117]) ).
fof(f737,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f115]) ).
fof(f739,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( sQ118_spl
| ~ sQ51_spl
| c2_1(a648) ),
inference(resolution,[status(thm)],[f476,f730]) ).
fof(f743,plain,
! [X0,X1] :
( ~ sQ111_spl
| ssSkP0(X0)
| c1_1(X0)
| c4_2(X0,X1)
| c5_2(X0,a649)
| c3_2(X0,a649)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f704,f149]) ).
fof(f744,plain,
! [X0,X1] :
( ~ sQ111_spl
| ssSkP0(X0)
| c1_1(X0)
| c4_2(X0,X1)
| c5_2(X0,a649)
| c3_2(X0,a649)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f131]) ).
fof(f745,plain,
! [X0,X1] :
( ~ sQ108_spl
| ~ sQ70_spl
| c5_1(X0)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f693,f549]) ).
fof(f746,plain,
! [X0,X1] :
( ~ sQ108_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ51_spl
| c5_1(X0)
| c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f745,f747]) ).
fof(f747,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ51_spl
| c5_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f476]) ).
fof(f748,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ59_spl
| ~ sQ51_spl
| c3_1(X0)
| ~ c1_1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f747,f711]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sQ115_spl
| ~ sQ68_spl
| ~ sQ51_spl
| c1_1(X0)
| c3_2(X0,a640)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f718,f752]) ).
fof(f750,plain,
! [X0,X1] :
( ~ sQ116_spl
| ~ sQ68_spl
| ~ sQ51_spl
| c1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,a640)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f722,f752]) ).
fof(f751,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| ~ sQ68_spl
| ~ sQ51_spl
| c1_1(X0)
| c4_2(X0,X2)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X2)
| ~ c1_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f704,f752]) ).
fof(f752,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ51_spl
| c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f476]) ).
fof(f753,plain,
( sQ19_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ndr1_1(a659) ),
inference(resolution,[status(thm)],[f752,f349]) ).
fof(f754,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ59_spl
| ~ sQ51_spl
| ~ sQ68_spl
| c3_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f752]) ).
fof(f755,plain,
( sQ118_spl
| ~ sQ113_spl
| ~ sQ59_spl
| ~ sQ51_spl
| ~ sQ68_spl
| c3_1(a648) ),
inference(resolution,[status(thm)],[f754,f730]) ).
fof(f756,plain,
( ~ sQ74_spl
| ~ sQ96_spl
| c5_1(a653)
| ~ c2_1(a653)
| c1_2(a653,a656) ),
inference(resolution,[status(thm)],[f646,f565]) ).
fof(f757,definition,
( sQ120_spl
<=> c1_2(a653,a656) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ120_spl
| c1_2(a653,a656) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ120_spl
| ~ c1_2(a653,a656) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ121_spl
<=> c2_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ121_spl
| c2_1(a653) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ121_spl
| ~ c2_1(a653) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,definition,
( sQ122_spl
<=> c5_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ122_spl
| c5_1(a653) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,plain,
( ~ sQ74_spl
| ~ sQ96_spl
| sQ122_spl
| ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f756,f757,f760,f763,f645,f564]) ).
fof(f767,plain,
( ~ sQ9_spl
| ~ sQ76_spl
| c1_1(a659)
| c5_2(a659,a647) ),
inference(resolution,[status(thm)],[f573,f307]) ).
fof(f768,definition,
( sQ123_spl
<=> c5_2(a659,a647) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ123_spl
| c5_2(a659,a647) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ9_spl
| ~ sQ76_spl
| sQ19_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f767,f768,f347,f572,f306]) ).
fof(f772,plain,
( ~ sQ99_spl
| ssSkP0(a651)
| c3_2(a651,a649)
| c5_2(a651,a649) ),
inference(resolution,[status(thm)],[f657,f149]) ).
fof(f773,definition,
( sQ124_spl
<=> c5_2(a651,a649) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ124_spl
| c5_2(a651,a649) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,definition,
( sQ125_spl
<=> c3_2(a651,a649) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ125_spl
| c3_2(a651,a649) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ126_spl
<=> ssSkP0(a651) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ126_spl
| ssSkP0(a651) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ99_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f772,f773,f776,f779,f656]) ).
fof(f783,plain,
( ~ sQ92_spl
| ssSkP0(a669)
| c2_2(a669,a649)
| c3_2(a669,a649) ),
inference(resolution,[status(thm)],[f632,f148]) ).
fof(f784,definition,
( sQ127_spl
<=> c3_2(a669,a649) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ127_spl
| c3_2(a669,a649) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ128_spl
<=> c2_2(a669,a649) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ128_spl
| c2_2(a669,a649) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f789,plain,
( sQ128_spl
| ~ c2_2(a669,a649) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ129_spl
<=> ssSkP0(a669) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ129_spl
| ssSkP0(a669) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f792,plain,
( sQ129_spl
| ~ ssSkP0(a669) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( ~ sQ92_spl
| sQ129_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f783,f784,f787,f790,f631]) ).
fof(f794,plain,
! [X0,X1] :
( ~ sQ114_spl
| ~ sQ68_spl
| ~ sQ51_spl
| c1_1(X0)
| c2_2(X0,a640)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f752]) ).
fof(f797,plain,
! [X0,X1] :
( ~ sQ111_spl
| ssSkP0(X0)
| c1_1(X0)
| c4_2(X0,X1)
| c3_2(X0,a649)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f159]) ).
fof(f800,plain,
( ~ sQ59_spl
| ~ sQ51_spl
| sQ33_spl
| ndr1_1(a665) ),
inference(resolution,[status(thm)],[f405,f747]) ).
fof(f801,plain,
( ~ sQ70_spl
| sQ33_spl
| c1_1(a665) ),
inference(resolution,[status(thm)],[f405,f549]) ).
fof(f802,plain,
( ~ sQ116_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| c1_1(a660)
| c3_2(a660,a661)
| ~ c5_2(a660,a640)
| ~ c1_2(a660,a661) ),
inference(resolution,[status(thm)],[f408,f750]) ).
fof(f803,plain,
( ~ sQ115_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| c1_1(a660)
| c3_2(a660,a640)
| c3_2(a660,a661)
| ~ c1_2(a660,a661) ),
inference(resolution,[status(thm)],[f408,f749]) ).
fof(f804,plain,
( ~ sQ108_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ51_spl
| ~ sQ34_spl
| c5_1(a660)
| c1_2(a660,a661)
| ~ c4_2(a660,a661) ),
inference(resolution,[status(thm)],[f408,f746]) ).
fof(f805,plain,
( ~ sQ104_spl
| ~ sQ34_spl
| c4_1(a660)
| c4_2(a660,a658)
| c1_2(a660,a661)
| c5_2(a660,a661)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f408,f677]) ).
fof(f806,plain,
( ~ sQ105_spl
| ~ sQ34_spl
| c4_1(a660)
| c5_2(a660,a658)
| c1_2(a660,a661)
| c5_2(a660,a661)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f408,f681]) ).
fof(f807,plain,
( ~ sQ114_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| c1_1(a660)
| c2_2(a660,a640)
| c3_2(a660,a661)
| ~ c1_2(a660,a661) ),
inference(resolution,[status(thm)],[f408,f794]) ).
fof(f808,definition,
( sQ130_spl
<=> c1_2(a660,a661) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f811,definition,
( sQ131_spl
<=> c5_2(a660,a640) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ131_spl
| c5_2(a660,a640) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( sQ131_spl
| ~ c5_2(a660,a640) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,definition,
( sQ132_spl
<=> c1_1(a660) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ132_spl
| c1_1(a660) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ132_spl
| ~ c1_1(a660) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( ~ sQ116_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| sQ132_spl
| sQ48_spl
| ~ sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f802,f808,f811,f463,f814,f407,f475,f541,f721]) ).
fof(f818,definition,
( sQ133_spl
<=> c3_2(a660,a640) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ133_spl
| c3_2(a660,a640) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( ~ sQ115_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| sQ132_spl
| sQ133_spl
| sQ48_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f803,f808,f463,f818,f814,f407,f475,f541,f717]) ).
fof(f822,definition,
( sQ134_spl
<=> c5_1(a660) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ134_spl
| c5_1(a660) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ108_spl
| ~ sQ70_spl
| ~ sQ59_spl
| ~ sQ51_spl
| ~ sQ34_spl
| sQ134_spl
| sQ130_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f804,f459,f808,f822,f407,f475,f506,f548,f692]) ).
fof(f826,definition,
( sQ135_spl
<=> c5_2(a660,a661) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ135_spl
| c5_2(a660,a661) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ136_spl
<=> c4_2(a660,a658) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ136_spl
| c4_2(a660,a658) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ104_spl
| ~ sQ34_spl
| sQ35_spl
| sQ136_spl
| sQ130_spl
| sQ135_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f805,f343,f826,f808,f829,f411,f407,f676]) ).
fof(f833,definition,
( sQ137_spl
<=> c5_2(a660,a658) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ137_spl
| c5_2(a660,a658) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ105_spl
| ~ sQ34_spl
| sQ35_spl
| sQ137_spl
| sQ130_spl
| sQ135_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f806,f343,f826,f808,f833,f411,f407,f680]) ).
fof(f837,definition,
( sQ138_spl
<=> c2_2(a660,a640) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ138_spl
| c2_2(a660,a640) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ138_spl
| ~ c2_2(a660,a640) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( ~ sQ114_spl
| ~ sQ68_spl
| ~ sQ51_spl
| ~ sQ34_spl
| sQ132_spl
| sQ138_spl
| sQ48_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f807,f808,f463,f837,f814,f407,f475,f541,f713]) ).
fof(f842,plain,
( ~ sQ70_spl
| sQ24_spl
| c1_1(a672) ),
inference(resolution,[status(thm)],[f369,f549]) ).
fof(f843,plain,
( ~ sQ70_spl
| sQ24_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f373]) ).
fof(f844,plain,
( ~ sQ70_spl
| sQ24_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ81_spl
| ssSkP0(a665)
| c5_2(a665,a649) ),
inference(resolution,[status(thm)],[f591,f149]) ).
fof(f846,definition,
( sQ139_spl
<=> c5_2(a665,a649) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ139_spl
| c5_2(a665,a649) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ140_spl
<=> ssSkP0(a665) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ140_spl
| ssSkP0(a665) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( ~ sQ81_spl
| sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f845,f846,f849,f590]) ).
fof(f853,plain,
( ~ sQ113_spl
| ~ sQ110_spl
| c3_1(a675)
| ~ c1_1(a675) ),
inference(resolution,[status(thm)],[f700,f711]) ).
fof(f854,definition,
( sQ141_spl
<=> c1_1(a675) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( sQ141_spl
| ~ c1_1(a675) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( ~ sQ113_spl
| ~ sQ110_spl
| sQ109_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f853,f854,f695,f699,f710]) ).
fof(f858,plain,
! [X0] :
( ~ sQ107_spl
| ssSkP0(X0)
| c3_2(X0,a649)
| ~ c3_1(X0)
| ~ ndr1_1(X0)
| ~ c4_2(X0,a649) ),
inference(resolution,[status(thm)],[f689,f149]) ).
fof(f859,plain,
! [X0] :
( ~ sQ107_spl
| ssSkP0(X0)
| c3_2(X0,a649)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f858,f148]) ).
fof(f860,plain,
! [X0] :
( ~ sQ107_spl
| ssSkP0(X0)
| c3_2(X0,a649)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f131]) ).
fof(f861,plain,
( ~ sQ109_spl
| ~ sQ107_spl
| ssSkP0(a675)
| c3_2(a675,a649) ),
inference(resolution,[status(thm)],[f860,f696]) ).
fof(f862,plain,
( ~ sQ10_spl
| ~ sQ107_spl
| ssSkP0(a666)
| c3_2(a666,a649) ),
inference(resolution,[status(thm)],[f860,f312]) ).
fof(f863,plain,
( ~ sQ17_spl
| ~ sQ107_spl
| ssSkP0(a665)
| c3_2(a665,a649) ),
inference(resolution,[status(thm)],[f860,f340]) ).
fof(f864,definition,
( sQ142_spl
<=> c3_2(a675,a649) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ142_spl
| c3_2(a675,a649) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ143_spl
<=> ssSkP0(a675) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ143_spl
| ssSkP0(a675) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( ~ sQ109_spl
| ~ sQ107_spl
| sQ143_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f861,f864,f867,f688,f695]) ).
fof(f871,definition,
( sQ144_spl
<=> c3_2(a666,a649) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ144_spl
| c3_2(a666,a649) ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ145_spl
<=> ssSkP0(a666) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ145_spl
| ssSkP0(a666) ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( ~ sQ10_spl
| ~ sQ107_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f862,f871,f874,f688,f311]) ).
fof(f878,definition,
( sQ146_spl
<=> c3_2(a665,a649) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ146_spl
| c3_2(a665,a649) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( ~ sQ17_spl
| ~ sQ107_spl
| sQ140_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f863,f878,f849,f688,f339]) ).
fof(f882,plain,
( ~ sQ51_spl
| sQ95_spl
| c2_1(a653) ),
inference(resolution,[status(thm)],[f644,f476]) ).
fof(f883,plain,
( ~ sQ51_spl
| sQ94_spl
| c2_1(a659) ),
inference(resolution,[status(thm)],[f640,f476]) ).
fof(f884,plain,
( ~ sQ51_spl
| sQ91_spl
| c2_1(a672) ),
inference(resolution,[status(thm)],[f629,f476]) ).
fof(f885,plain,
( ~ sQ51_spl
| sQ88_spl
| c2_1(a679) ),
inference(resolution,[status(thm)],[f619,f476]) ).
fof(f886,plain,
( ~ sQ51_spl
| sQ82_spl
| c2_1(a665) ),
inference(resolution,[status(thm)],[f595,f476]) ).
fof(f887,plain,
( ~ sQ51_spl
| sQ80_spl
| c2_1(a680) ),
inference(resolution,[status(thm)],[f588,f476]) ).
fof(f888,plain,
( ~ sQ51_spl
| sQ78_spl
| c2_1(a666) ),
inference(resolution,[status(thm)],[f581,f476]) ).
fof(f889,plain,
( ~ sQ79_spl
| ssSkP0(a680)
| c2_2(a680,a649) ),
inference(resolution,[status(thm)],[f584,f149]) ).
fof(f890,definition,
( sQ147_spl
<=> c2_2(a680,a649) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ147_spl
| c2_2(a680,a649) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f892,plain,
( sQ147_spl
| ~ c2_2(a680,a649) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ148_spl
<=> ssSkP0(a680) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ148_spl
| ssSkP0(a680) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ79_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f889,f890,f893,f583]) ).
fof(f897,plain,
( ~ sQ89_spl
| ~ sQ75_spl
| c5_2(a679,a650)
| c1_2(a679,a650)
| ~ c4_1(a679)
| ~ ssSkP0(a679) ),
inference(resolution,[status(thm)],[f569,f621]) ).
fof(f898,definition,
( sQ149_spl
<=> ssSkP0(a679) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( sQ149_spl
| ~ ssSkP0(a679) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ150_spl
<=> c1_2(a679,a650) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ150_spl
| c1_2(a679,a650) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ151_spl
<=> c5_2(a679,a650) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ151_spl
| c5_2(a679,a650) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ89_spl
| ~ sQ75_spl
| sQ151_spl
| sQ150_spl
| ~ sQ20_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f897,f898,f351,f901,f904,f568,f620]) ).
fof(f908,plain,
( ~ sQ107_spl
| ~ sQ38_spl
| ssSkP0(a676)
| c3_2(a676,a649) ),
inference(resolution,[status(thm)],[f424,f860]) ).
fof(f909,definition,
( sQ152_spl
<=> c3_2(a676,a649) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ152_spl
| c3_2(a676,a649) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ153_spl
<=> ssSkP0(a676) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ153_spl
| ssSkP0(a676) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( sQ153_spl
| ~ ssSkP0(a676) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( ~ sQ107_spl
| ~ sQ38_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f908,f909,f912,f423,f688]) ).
fof(f916,plain,
( ~ sQ39_spl
| ~ sQ67_spl
| c4_2(a676,a650)
| ~ ssSkP0(a676) ),
inference(resolution,[status(thm)],[f538,f428]) ).
fof(f917,definition,
( sQ154_spl
<=> c4_2(a676,a650) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ154_spl
| c4_2(a676,a650) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f919,plain,
( sQ154_spl
| ~ c4_2(a676,a650) ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( ~ sQ39_spl
| ~ sQ67_spl
| sQ154_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f916,f912,f917,f537,f427]) ).
fof(f921,plain,
! [X0] :
( ~ sQ60_spl
| ndr1_1(X0)
| ~ c4_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f131]) ).
fof(f922,plain,
( ~ sQ99_spl
| ~ sQ53_spl
| c3_2(a651,a652)
| c5_2(a651,a652) ),
inference(resolution,[status(thm)],[f483,f657]) ).
fof(f923,plain,
( ~ sQ107_spl
| ~ sQ53_spl
| c3_2(a651,a652)
| ~ c3_1(a651)
| ~ ndr1_1(a651)
| ~ c4_2(a651,a652) ),
inference(resolution,[status(thm)],[f483,f689]) ).
fof(f924,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ53_spl
| c1_1(a651)
| c4_2(a651,X0)
| c5_2(a651,a652)
| c3_2(a651,a652)
| ~ c1_2(a651,X0)
| ~ ndr1_1(a651) ),
inference(resolution,[status(thm)],[f483,f704]) ).
fof(f925,plain,
( ~ sQ111_spl
| ~ sQ53_spl
| ssSkP0(a651)
| c1_1(a651)
| c4_2(a651,a652)
| c3_2(a651,a649) ),
inference(resolution,[status(thm)],[f483,f797]) ).
fof(f926,definition,
( sQ155_spl
<=> c3_2(a651,a652) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ155_spl
| c3_2(a651,a652) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( ~ sQ99_spl
| ~ sQ53_spl
| sQ155_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f922,f498,f926,f482,f656]) ).
fof(f930,definition,
( sQ156_spl
<=> c4_2(a651,a652) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f933,definition,
( sQ157_spl
<=> c3_1(a651) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( sQ157_spl
| ~ c3_1(a651) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ107_spl
| ~ sQ53_spl
| sQ155_spl
| ~ sQ157_spl
| ~ sQ50_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f923,f930,f470,f933,f926,f482,f688]) ).
fof(f937,definition,
! [X0] :
( sQ158_spl
<=> ( c4_2(a651,X0)
| ~ c1_2(a651,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f938,plain,
! [X0] :
( ~ sQ158_spl
| c4_2(a651,X0)
| ~ c1_2(a651,X0) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ159_spl
<=> c1_1(a651) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ159_spl
| c1_1(a651) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( ~ sQ111_spl
| ~ sQ53_spl
| sQ159_spl
| sQ57_spl
| sQ155_spl
| sQ158_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f924,f470,f937,f926,f498,f940,f482,f703]) ).
fof(f944,plain,
( ~ sQ111_spl
| ~ sQ53_spl
| sQ126_spl
| sQ159_spl
| sQ156_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f925,f776,f930,f940,f779,f482,f703]) ).
fof(f945,plain,
( ~ sQ113_spl
| ~ sQ122_spl
| c3_1(a653)
| ~ c1_1(a653) ),
inference(resolution,[status(thm)],[f764,f711]) ).
fof(f946,definition,
( sQ160_spl
<=> c3_1(a653) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ160_spl
| c3_1(a653) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( ~ sQ113_spl
| ~ sQ122_spl
| sQ160_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f945,f552,f946,f763,f710]) ).
fof(f950,plain,
( ~ sQ113_spl
| ~ sQ134_spl
| c3_1(a660)
| ~ c1_1(a660) ),
inference(resolution,[status(thm)],[f823,f711]) ).
fof(f951,definition,
( sQ161_spl
<=> c3_1(a660) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ161_spl
| c3_1(a660) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ161_spl
| ~ c3_1(a660) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( ~ sQ113_spl
| ~ sQ134_spl
| sQ161_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f950,f814,f951,f822,f710]) ).
fof(f955,plain,
( ~ sQ107_spl
| ~ sQ30_spl
| c3_2(a669,a670)
| ~ c3_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a670) ),
inference(resolution,[status(thm)],[f392,f689]) ).
fof(f956,definition,
( sQ162_spl
<=> c4_2(a669,a670) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ162_spl
| c4_2(a669,a670) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f958,plain,
( sQ162_spl
| ~ c4_2(a669,a670) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,definition,
( sQ163_spl
<=> c3_1(a669) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ163_spl
| c3_1(a669) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( sQ163_spl
| ~ c3_1(a669) ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,definition,
( sQ164_spl
<=> c3_2(a669,a670) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ164_spl
| c3_2(a669,a670) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( ~ sQ107_spl
| ~ sQ30_spl
| sQ164_spl
| ~ sQ163_spl
| ~ sQ15_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f955,f956,f331,f959,f962,f391,f688]) ).
fof(f966,plain,
( ~ sQ73_spl
| ~ sQ120_spl
| c5_1(a653)
| ~ c2_1(a653) ),
inference(resolution,[status(thm)],[f758,f561]) ).
fof(f967,plain,
( ~ sQ107_spl
| ~ sQ120_spl
| c3_2(a653,a656)
| ~ c3_1(a653)
| ~ ndr1_1(a653)
| ~ c4_2(a653,a656) ),
inference(resolution,[status(thm)],[f758,f689]) ).
fof(f968,plain,
( ~ sQ73_spl
| ~ sQ120_spl
| sQ122_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f966,f760,f763,f757,f560]) ).
fof(f969,definition,
( sQ165_spl
<=> c4_2(a653,a656) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ165_spl
| ~ c4_2(a653,a656) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ166_spl
<=> c3_2(a653,a656) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ166_spl
| c3_2(a653,a656) ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( ~ sQ107_spl
| ~ sQ120_spl
| sQ166_spl
| ~ sQ160_spl
| ~ sQ95_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f967,f969,f642,f946,f972,f757,f688]) ).
fof(f976,plain,
( ~ sQ124_spl
| ssSkP0(a651) ),
inference(resolution,[status(thm)],[f774,f159]) ).
fof(f977,plain,
( ~ sQ108_spl
| ~ sQ128_spl
| c5_1(a669)
| c1_2(a669,a649)
| ~ c1_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a649) ),
inference(resolution,[status(thm)],[f788,f693]) ).
fof(f978,plain,
( ~ sQ104_spl
| ~ sQ128_spl
| c4_1(a669)
| c4_2(a669,a658)
| c1_2(a669,a649)
| c5_2(a669,a649)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f788,f677]) ).
fof(f979,plain,
( ~ sQ105_spl
| ~ sQ128_spl
| c4_1(a669)
| c5_2(a669,a658)
| c1_2(a669,a649)
| c5_2(a669,a649)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f788,f681]) ).
fof(f980,definition,
( sQ167_spl
<=> c4_2(a669,a649) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ167_spl
| c4_2(a669,a649) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( sQ167_spl
| ~ c4_2(a669,a649) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ168_spl
<=> c1_2(a669,a649) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ168_spl
| c1_2(a669,a649) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ169_spl
<=> c5_1(a669) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ169_spl
| c5_1(a669) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( ~ sQ108_spl
| ~ sQ128_spl
| sQ169_spl
| sQ168_spl
| ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f977,f980,f331,f395,f983,f986,f787,f692]) ).
fof(f990,definition,
( sQ170_spl
<=> c5_2(a669,a649) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ170_spl
| c5_2(a669,a649) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ171_spl
<=> c4_2(a669,a658) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ171_spl
| c4_2(a669,a658) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f995,plain,
( sQ171_spl
| ~ c4_2(a669,a658) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ172_spl
<=> c4_1(a669) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ172_spl
| c4_1(a669) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( sQ172_spl
| ~ c4_1(a669) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( ~ sQ104_spl
| ~ sQ128_spl
| sQ172_spl
| sQ171_spl
| sQ168_spl
| sQ170_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f978,f331,f990,f983,f993,f996,f787,f676]) ).
fof(f1000,definition,
( sQ173_spl
<=> c5_2(a669,a658) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ173_spl
| c5_2(a669,a658) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( ~ sQ105_spl
| ~ sQ128_spl
| sQ172_spl
| sQ173_spl
| sQ168_spl
| sQ170_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f979,f331,f990,f983,f1000,f996,f787,f680]) ).
fof(f1006,plain,
( ~ sQ108_spl
| ~ sQ138_spl
| c5_1(a660)
| c1_2(a660,a640)
| ~ c1_1(a660)
| ~ ndr1_1(a660)
| ~ c4_2(a660,a640) ),
inference(resolution,[status(thm)],[f838,f693]) ).
fof(f1007,plain,
( ~ sQ104_spl
| ~ sQ138_spl
| c4_1(a660)
| c4_2(a660,a658)
| c1_2(a660,a640)
| c5_2(a660,a640)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f838,f677]) ).
fof(f1008,plain,
( ~ sQ105_spl
| ~ sQ138_spl
| c4_1(a660)
| c5_2(a660,a658)
| c1_2(a660,a640)
| c5_2(a660,a640)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f838,f681]) ).
fof(f1009,definition,
( sQ174_spl
<=> c4_2(a660,a640) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ174_spl
| ~ c4_2(a660,a640) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ175_spl
<=> c1_2(a660,a640) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ175_spl
| c1_2(a660,a640) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( ~ sQ108_spl
| ~ sQ138_spl
| sQ134_spl
| sQ175_spl
| ~ sQ132_spl
| ~ sQ18_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1006,f1009,f343,f814,f1012,f822,f837,f692]) ).
fof(f1016,plain,
( ~ sQ104_spl
| ~ sQ138_spl
| sQ35_spl
| sQ136_spl
| sQ175_spl
| sQ131_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1007,f343,f811,f1012,f829,f411,f837,f676]) ).
fof(f1017,plain,
( ~ sQ105_spl
| ~ sQ138_spl
| sQ35_spl
| sQ137_spl
| sQ175_spl
| sQ131_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1008,f343,f811,f1012,f833,f411,f837,f680]) ).
fof(f1018,plain,
( ~ sQ51_spl
| sQ95_spl
| sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f762]) ).
fof(f1019,plain,
( ~ sQ51_spl
| sQ95_spl
| sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( ~ sQ60_spl
| ~ sQ13_spl
| ndr1_1(a674) ),
inference(resolution,[status(thm)],[f324,f921]) ).
fof(f1021,plain,
( ~ sQ66_spl
| ~ sQ13_spl
| c5_2(a674,a650)
| ~ ssSkP0(a674) ),
inference(resolution,[status(thm)],[f324,f534]) ).
fof(f1022,plain,
( ~ sQ67_spl
| ~ sQ13_spl
| c4_2(a674,a650)
| ~ ssSkP0(a674) ),
inference(resolution,[status(thm)],[f324,f538]) ).
fof(f1023,definition,
( sQ176_spl
<=> ssSkP0(a674) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ176_spl
| ssSkP0(a674) ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( sQ176_spl
| ~ ssSkP0(a674) ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ177_spl
<=> c5_2(a674,a650) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ177_spl
| c5_2(a674,a650) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( ~ sQ66_spl
| ~ sQ13_spl
| sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1021,f1023,f1026,f323,f533]) ).
fof(f1030,definition,
( sQ178_spl
<=> c4_2(a674,a650) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ178_spl
| c4_2(a674,a650) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( sQ178_spl
| ~ c4_2(a674,a650) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,plain,
( ~ sQ67_spl
| ~ sQ13_spl
| sQ178_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1022,f1023,f1030,f323,f537]) ).
fof(f1034,plain,
( ~ sQ60_spl
| ~ sQ12_spl
| ndr1_1(a643) ),
inference(resolution,[status(thm)],[f320,f921]) ).
fof(f1035,plain,
( ~ sQ66_spl
| ~ sQ12_spl
| c5_2(a643,a650)
| ~ ssSkP0(a643) ),
inference(resolution,[status(thm)],[f320,f534]) ).
fof(f1036,plain,
( ~ sQ67_spl
| ~ sQ12_spl
| c4_2(a643,a650)
| ~ ssSkP0(a643) ),
inference(resolution,[status(thm)],[f320,f538]) ).
fof(f1037,definition,
( sQ179_spl
<=> ssSkP0(a643) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( ~ sQ179_spl
| ssSkP0(a643) ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( sQ179_spl
| ~ ssSkP0(a643) ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1040,definition,
( sQ180_spl
<=> c5_2(a643,a650) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ180_spl
| c5_2(a643,a650) ),
inference(component_clause,[status(thm)],[f1040]) ).
fof(f1043,plain,
( ~ sQ66_spl
| ~ sQ12_spl
| sQ180_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1035,f1037,f1040,f319,f533]) ).
fof(f1044,definition,
( sQ181_spl
<=> c4_2(a643,a650) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ181_spl
| c4_2(a643,a650) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1046,plain,
( sQ181_spl
| ~ c4_2(a643,a650) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( ~ sQ67_spl
| ~ sQ12_spl
| sQ181_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1036,f1037,f1044,f319,f537]) ).
fof(f1048,plain,
( ~ sQ51_spl
| sQ18_spl
| c2_1(a660) ),
inference(resolution,[status(thm)],[f345,f476]) ).
fof(f1049,plain,
( ~ sQ60_spl
| ~ sQ35_spl
| ndr1_1(a660) ),
inference(resolution,[status(thm)],[f412,f921]) ).
fof(f1050,plain,
( ~ sQ66_spl
| ~ sQ35_spl
| c5_2(a660,a650)
| ~ ssSkP0(a660) ),
inference(resolution,[status(thm)],[f412,f534]) ).
fof(f1051,plain,
( ~ sQ67_spl
| ~ sQ35_spl
| c4_2(a660,a650)
| ~ ssSkP0(a660) ),
inference(resolution,[status(thm)],[f412,f538]) ).
fof(f1052,plain,
( ~ sQ60_spl
| ~ sQ35_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1049,f343,f411,f510]) ).
fof(f1053,definition,
( sQ182_spl
<=> ssSkP0(a660) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( sQ182_spl
| ~ ssSkP0(a660) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ183_spl
<=> c5_2(a660,a650) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ183_spl
| c5_2(a660,a650) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ66_spl
| ~ sQ35_spl
| sQ183_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1050,f1053,f1056,f411,f533]) ).
fof(f1060,definition,
( sQ184_spl
<=> c4_2(a660,a650) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ184_spl
| c4_2(a660,a650) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ184_spl
| ~ c4_2(a660,a650) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,plain,
( ~ sQ67_spl
| ~ sQ35_spl
| sQ184_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1051,f1053,f1060,f411,f537]) ).
fof(f1066,plain,
( ~ sQ97_spl
| ~ sQ136_spl
| c1_2(a660,a658)
| c5_2(a660,a658)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f830,f650]) ).
fof(f1067,definition,
( sQ185_spl
<=> c1_2(a660,a658) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ185_spl
| c1_2(a660,a658) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ97_spl
| ~ sQ136_spl
| sQ185_spl
| sQ137_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1066,f343,f833,f1067,f829,f649]) ).
fof(f1071,plain,
( ~ sQ139_spl
| ssSkP0(a665) ),
inference(resolution,[status(thm)],[f847,f159]) ).
fof(f1072,plain,
( ~ sQ108_spl
| ~ sQ147_spl
| c5_1(a680)
| c1_2(a680,a649)
| ~ c1_1(a680)
| ~ ndr1_1(a680)
| ~ c4_2(a680,a649) ),
inference(resolution,[status(thm)],[f891,f693]) ).
fof(f1073,plain,
( ~ sQ104_spl
| ~ sQ147_spl
| c4_1(a680)
| c4_2(a680,a658)
| c1_2(a680,a649)
| c5_2(a680,a649)
| ~ ndr1_1(a680) ),
inference(resolution,[status(thm)],[f891,f677]) ).
fof(f1074,plain,
( ~ sQ105_spl
| ~ sQ147_spl
| c4_1(a680)
| c5_2(a680,a658)
| c1_2(a680,a649)
| c5_2(a680,a649)
| ~ ndr1_1(a680) ),
inference(resolution,[status(thm)],[f891,f681]) ).
fof(f1075,definition,
( sQ186_spl
<=> c4_2(a680,a649) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( sQ186_spl
| ~ c4_2(a680,a649) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ187_spl
<=> c1_1(a680) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( sQ187_spl
| ~ c1_1(a680) ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,definition,
( sQ188_spl
<=> c1_2(a680,a649) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1082,plain,
( ~ sQ188_spl
| c1_2(a680,a649) ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,definition,
( sQ189_spl
<=> c5_1(a680) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ189_spl
| c5_1(a680) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ108_spl
| ~ sQ147_spl
| sQ189_spl
| sQ188_spl
| ~ sQ187_spl
| ~ sQ80_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1072,f1075,f586,f1078,f1081,f1084,f890,f692]) ).
fof(f1088,definition,
( sQ190_spl
<=> c5_2(a680,a649) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ190_spl
| c5_2(a680,a649) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ191_spl
<=> c4_2(a680,a658) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ191_spl
| c4_2(a680,a658) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ192_spl
<=> c4_1(a680) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ192_spl
| c4_1(a680) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( sQ192_spl
| ~ c4_1(a680) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ104_spl
| ~ sQ147_spl
| sQ192_spl
| sQ191_spl
| sQ188_spl
| sQ190_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1073,f586,f1088,f1081,f1091,f1094,f890,f676]) ).
fof(f1098,definition,
( sQ193_spl
<=> c5_2(a680,a658) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ193_spl
| c5_2(a680,a658) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,plain,
( ~ sQ105_spl
| ~ sQ147_spl
| sQ192_spl
| sQ193_spl
| sQ188_spl
| sQ190_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1074,f586,f1088,f1081,f1098,f1094,f890,f680]) ).
fof(f1102,plain,
( ~ sQ107_spl
| ~ sQ150_spl
| c3_2(a679,a650)
| ~ c3_1(a679)
| ~ ndr1_1(a679)
| ~ c4_2(a679,a650) ),
inference(resolution,[status(thm)],[f902,f689]) ).
fof(f1103,definition,
( sQ194_spl
<=> c4_2(a679,a650) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( sQ194_spl
| ~ c4_2(a679,a650) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1106,definition,
( sQ195_spl
<=> c3_1(a679) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( sQ195_spl
| ~ c3_1(a679) ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,definition,
( sQ196_spl
<=> c3_2(a679,a650) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( ~ sQ196_spl
| c3_2(a679,a650) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( ~ sQ107_spl
| ~ sQ150_spl
| sQ196_spl
| ~ sQ195_spl
| ~ sQ88_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1102,f1103,f617,f1106,f1109,f901,f688]) ).
fof(f1113,plain,
( sQ149_spl
| ndr1_1(a679) ),
inference(resolution,[status(thm)],[f900,f131]) ).
fof(f1114,plain,
( sQ149_spl
| sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1113,f619]) ).
fof(f1115,plain,
( sQ149_spl
| sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1116,plain,
( ~ sQ97_spl
| ~ sQ154_spl
| c1_2(a676,a650)
| c5_2(a676,a650)
| ~ ndr1_1(a676) ),
inference(resolution,[status(thm)],[f918,f650]) ).
fof(f1117,definition,
( sQ197_spl
<=> c5_2(a676,a650) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ197_spl
| c5_2(a676,a650) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,definition,
( sQ198_spl
<=> c1_2(a676,a650) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ198_spl
| c1_2(a676,a650) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,plain,
( ~ sQ97_spl
| ~ sQ154_spl
| sQ198_spl
| sQ197_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1116,f419,f1117,f1120,f917,f649]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ111_spl
| c1_1(a669)
| c4_2(a669,X0)
| c5_2(a669,a670)
| c3_2(a669,a670)
| ~ c1_2(a669,X0)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f704,f392]) ).
fof(f1126,plain,
! [X0,X1] :
( ~ sQ111_spl
| ssSkP0(X0)
| c1_1(X0)
| c4_2(X0,X1)
| c5_2(X0,a649)
| c3_2(X0,a649)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f704,f149]) ).
fof(f1127,definition,
! [X0] :
( sQ199_spl
<=> ( c4_2(a669,X0)
| ~ c1_2(a669,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ199_spl
| c4_2(a669,X0)
| ~ c1_2(a669,X0) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( ~ sQ30_spl
| ~ sQ111_spl
| sQ31_spl
| sQ40_spl
| sQ164_spl
| sQ199_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1124,f331,f1127,f962,f431,f395,f703,f391]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ sQ111_spl
| ssSkP0(X0)
| c1_1(X0)
| c4_2(X0,X1)
| c5_2(X0,a649)
| c3_2(X0,a649)
| ~ c1_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f131]) ).
fof(f1133,plain,
( ~ sQ53_spl
| ~ sQ158_spl
| c4_2(a651,a652) ),
inference(resolution,[status(thm)],[f938,f483]) ).
fof(f1134,plain,
( ~ sQ158_spl
| ssSkP0(a651)
| c4_2(a651,a649) ),
inference(resolution,[status(thm)],[f938,f149]) ).
fof(f1135,definition,
( sQ200_spl
<=> c4_2(a651,a649) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ200_spl
| c4_2(a651,a649) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( ~ sQ158_spl
| sQ126_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1134,f1135,f779,f937]) ).
fof(f1139,plain,
( ~ sQ107_spl
| ~ sQ161_spl
| ssSkP0(a660)
| c3_2(a660,a649) ),
inference(resolution,[status(thm)],[f952,f860]) ).
fof(f1140,definition,
( sQ201_spl
<=> c3_2(a660,a649) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ201_spl
| c3_2(a660,a649) ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ sQ107_spl
| ~ sQ161_spl
| sQ182_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1139,f1140,f1053,f951,f688]) ).
fof(f1144,plain,
( ~ sQ60_spl
| ~ sQ172_spl
| ndr1_1(a669) ),
inference(resolution,[status(thm)],[f997,f921]) ).
fof(f1145,plain,
( ~ sQ66_spl
| ~ sQ172_spl
| c5_2(a669,a650)
| ~ ssSkP0(a669) ),
inference(resolution,[status(thm)],[f997,f534]) ).
fof(f1146,plain,
( ~ sQ67_spl
| ~ sQ172_spl
| c4_2(a669,a650)
| ~ ssSkP0(a669) ),
inference(resolution,[status(thm)],[f997,f538]) ).
fof(f1147,definition,
( sQ202_spl
<=> c5_2(a669,a650) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ202_spl
| c5_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( ~ sQ66_spl
| ~ sQ172_spl
| sQ202_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1145,f790,f1147,f996,f533]) ).
fof(f1151,definition,
( sQ203_spl
<=> c4_2(a669,a650) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ203_spl
| c4_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
( sQ203_spl
| ~ c4_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( ~ sQ67_spl
| ~ sQ172_spl
| sQ203_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1146,f790,f1151,f996,f537]) ).
fof(f1155,plain,
( ~ sQ113_spl
| ~ sQ169_spl
| c3_1(a669)
| ~ c1_1(a669) ),
inference(resolution,[status(thm)],[f987,f711]) ).
fof(f1156,plain,
( ~ sQ113_spl
| ~ sQ169_spl
| sQ163_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f1155,f395,f959,f986,f710]) ).
fof(f1161,plain,
( ~ sQ30_spl
| ~ sQ111_spl
| ssSkP0(a669)
| c1_1(a669)
| c4_2(a669,a670)
| c3_2(a669,a649) ),
inference(resolution,[status(thm)],[f797,f392]) ).
fof(f1164,plain,
( ~ sQ30_spl
| ~ sQ111_spl
| sQ129_spl
| sQ31_spl
| sQ162_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1161,f784,f956,f395,f790,f703,f391]) ).
fof(f1167,plain,
( sQ176_spl
| ndr1_1(a674) ),
inference(resolution,[status(thm)],[f1025,f131]) ).
fof(f1168,plain,
( sQ179_spl
| ndr1_1(a643) ),
inference(resolution,[status(thm)],[f1039,f131]) ).
fof(f1169,plain,
( sQ182_spl
| ndr1_1(a660) ),
inference(resolution,[status(thm)],[f1055,f131]) ).
fof(f1170,plain,
( ~ sQ97_spl
| ~ sQ178_spl
| c1_2(a674,a650)
| c5_2(a674,a650)
| ~ ndr1_1(a674) ),
inference(resolution,[status(thm)],[f1031,f650]) ).
fof(f1171,definition,
( sQ204_spl
<=> ndr1_1(a674) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ204_spl
| ndr1_1(a674) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1173,plain,
( sQ204_spl
| ~ ndr1_1(a674) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,definition,
( sQ205_spl
<=> c1_2(a674,a650) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ205_spl
| c1_2(a674,a650) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( ~ sQ97_spl
| ~ sQ178_spl
| sQ205_spl
| sQ177_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f1170,f1171,f1026,f1174,f1030,f649]) ).
fof(f1178,plain,
( ~ sQ97_spl
| ~ sQ181_spl
| c1_2(a643,a650)
| c5_2(a643,a650)
| ~ ndr1_1(a643) ),
inference(resolution,[status(thm)],[f1045,f650]) ).
fof(f1179,definition,
( sQ206_spl
<=> c1_2(a643,a650) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ206_spl
| c1_2(a643,a650) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,plain,
( ~ sQ97_spl
| ~ sQ181_spl
| sQ206_spl
| sQ180_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1178,f315,f1040,f1179,f1044,f649]) ).
fof(f1183,plain,
( ~ sQ97_spl
| ~ sQ184_spl
| c1_2(a660,a650)
| c5_2(a660,a650)
| ~ ndr1_1(a660) ),
inference(resolution,[status(thm)],[f1061,f650]) ).
fof(f1184,definition,
( sQ207_spl
<=> c1_2(a660,a650) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ207_spl
| c1_2(a660,a650) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ97_spl
| ~ sQ184_spl
| sQ207_spl
| sQ183_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1183,f343,f1056,f1184,f1060,f649]) ).
fof(f1188,plain,
( ~ sQ30_spl
| ~ sQ199_spl
| c4_2(a669,a670) ),
inference(resolution,[status(thm)],[f1128,f392]) ).
fof(f1189,plain,
( ~ sQ199_spl
| ssSkP0(a669)
| c4_2(a669,a649) ),
inference(resolution,[status(thm)],[f1128,f149]) ).
fof(f1190,plain,
( ~ sQ199_spl
| sQ129_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1189,f980,f790,f1127]) ).
fof(f1191,plain,
( ~ sQ60_spl
| ~ sQ192_spl
| ndr1_1(a680) ),
inference(resolution,[status(thm)],[f1095,f921]) ).
fof(f1192,plain,
( ~ sQ66_spl
| ~ sQ192_spl
| c5_2(a680,a650)
| ~ ssSkP0(a680) ),
inference(resolution,[status(thm)],[f1095,f534]) ).
fof(f1193,plain,
( ~ sQ67_spl
| ~ sQ192_spl
| c4_2(a680,a650)
| ~ ssSkP0(a680) ),
inference(resolution,[status(thm)],[f1095,f538]) ).
fof(f1194,plain,
( ~ sQ60_spl
| ~ sQ192_spl
| sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1191,f588]) ).
fof(f1195,plain,
( ~ sQ60_spl
| ~ sQ192_spl
| sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1194]) ).
fof(f1196,definition,
( sQ208_spl
<=> c5_2(a680,a650) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ208_spl
| c5_2(a680,a650) ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( ~ sQ66_spl
| ~ sQ192_spl
| sQ208_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f1192,f893,f1196,f1094,f533]) ).
fof(f1200,definition,
( sQ209_spl
<=> c4_2(a680,a650) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
( ~ sQ209_spl
| c4_2(a680,a650) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ67_spl
| ~ sQ192_spl
| sQ209_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f1193,f893,f1200,f1094,f537]) ).
fof(f1204,plain,
( ~ sQ113_spl
| ~ sQ189_spl
| c3_1(a680)
| ~ c1_1(a680) ),
inference(resolution,[status(thm)],[f1085,f711]) ).
fof(f1205,plain,
( ~ sQ113_spl
| ~ sQ189_spl
| sQ29_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1204,f1078,f387,f1084,f710]) ).
fof(f1206,plain,
( ~ sQ107_spl
| ~ sQ163_spl
| ssSkP0(a669)
| c3_2(a669,a649) ),
inference(resolution,[status(thm)],[f960,f860]) ).
fof(f1207,plain,
( ~ sQ107_spl
| ~ sQ163_spl
| sQ129_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1206,f784,f790,f959,f688]) ).
fof(f1208,plain,
( ~ sQ107_spl
| ~ sQ29_spl
| ssSkP0(a680)
| c3_2(a680,a649) ),
inference(resolution,[status(thm)],[f388,f860]) ).
fof(f1209,definition,
( sQ210_spl
<=> c3_2(a680,a649) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( ~ sQ210_spl
| c3_2(a680,a649) ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( ~ sQ107_spl
| ~ sQ29_spl
| sQ148_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1208,f1209,f893,f387,f688]) ).
fof(f1213,plain,
( ~ sQ92_spl
| ~ sQ162_spl
| c2_2(a669,a670)
| c3_2(a669,a670) ),
inference(resolution,[status(thm)],[f957,f632]) ).
fof(f1214,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| c1_2(a669,a670)
| c5_2(a669,a670)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f957,f650]) ).
fof(f1215,plain,
( ~ sQ92_spl
| ~ sQ162_spl
| sQ41_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1213,f962,f435,f956,f631]) ).
fof(f1216,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| sQ30_spl
| sQ40_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1214,f331,f431,f391,f956,f649]) ).
fof(f1217,plain,
( ~ sQ199_spl
| ~ sQ168_spl
| c4_2(a669,a649) ),
inference(resolution,[status(thm)],[f984,f1128]) ).
fof(f1218,plain,
( ~ sQ107_spl
| ~ sQ168_spl
| c3_2(a669,a649)
| ~ c3_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a649) ),
inference(resolution,[status(thm)],[f984,f689]) ).
fof(f1219,plain,
( ~ sQ107_spl
| ~ sQ168_spl
| sQ127_spl
| ~ sQ163_spl
| ~ sQ15_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f1218,f980,f331,f959,f784,f983,f688]) ).
fof(f1220,plain,
( ~ sQ170_spl
| ssSkP0(a669) ),
inference(resolution,[status(thm)],[f991,f159]) ).
fof(f1221,plain,
( ~ sQ92_spl
| ~ sQ171_spl
| c2_2(a669,a658)
| c3_2(a669,a658) ),
inference(resolution,[status(thm)],[f994,f632]) ).
fof(f1222,plain,
( ~ sQ97_spl
| ~ sQ171_spl
| c1_2(a669,a658)
| c5_2(a669,a658)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f994,f650]) ).
fof(f1223,definition,
( sQ211_spl
<=> c3_2(a669,a658) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ211_spl
| c3_2(a669,a658) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,definition,
( sQ212_spl
<=> c2_2(a669,a658) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( ~ sQ212_spl
| c2_2(a669,a658) ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1228,plain,
( sQ212_spl
| ~ c2_2(a669,a658) ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1229,plain,
( ~ sQ92_spl
| ~ sQ171_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1221,f1223,f1226,f993,f631]) ).
fof(f1230,definition,
( sQ213_spl
<=> c1_2(a669,a658) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( ~ sQ213_spl
| c1_2(a669,a658) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,plain,
( ~ sQ97_spl
| ~ sQ171_spl
| sQ213_spl
| sQ173_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1222,f331,f1000,f1230,f993,f649]) ).
fof(f1234,plain,
( sQ204_spl
| sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1173,f1167]) ).
fof(f1235,plain,
( sQ204_spl
| sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( ~ sQ107_spl
| ~ sQ175_spl
| c3_2(a660,a640)
| ~ c3_1(a660)
| ~ ndr1_1(a660)
| ~ c4_2(a660,a640) ),
inference(resolution,[status(thm)],[f1013,f689]) ).
fof(f1237,plain,
( ~ sQ107_spl
| ~ sQ175_spl
| sQ133_spl
| ~ sQ161_spl
| ~ sQ18_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1236,f1009,f343,f951,f818,f1012,f688]) ).
fof(f1238,plain,
( ~ sQ107_spl
| ~ sQ185_spl
| c3_2(a660,a658)
| ~ c3_1(a660)
| ~ ndr1_1(a660)
| ~ c4_2(a660,a658) ),
inference(resolution,[status(thm)],[f1068,f689]) ).
fof(f1239,definition,
( sQ214_spl
<=> c3_2(a660,a658) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ214_spl
| c3_2(a660,a658) ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1242,plain,
( ~ sQ107_spl
| ~ sQ185_spl
| sQ214_spl
| ~ sQ161_spl
| ~ sQ18_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f1238,f829,f343,f951,f1239,f1067,f688]) ).
fof(f1243,plain,
( ~ sQ107_spl
| ~ sQ188_spl
| c3_2(a680,a649)
| ~ c3_1(a680)
| ~ ndr1_1(a680)
| ~ c4_2(a680,a649) ),
inference(resolution,[status(thm)],[f1082,f689]) ).
fof(f1244,plain,
( ~ sQ107_spl
| ~ sQ188_spl
| sQ210_spl
| ~ sQ29_spl
| ~ sQ80_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1243,f1075,f586,f387,f1209,f1081,f688]) ).
fof(f1245,plain,
( ~ sQ190_spl
| ssSkP0(a680) ),
inference(resolution,[status(thm)],[f1089,f159]) ).
fof(f1246,plain,
( sQ186_spl
| ssSkP0(a680) ),
inference(resolution,[status(thm)],[f1077,f148]) ).
fof(f1247,plain,
( ~ sQ75_spl
| ~ sQ196_spl
| ~ c4_1(a679)
| ~ ssSkP0(a679) ),
inference(resolution,[status(thm)],[f1110,f569]) ).
fof(f1248,plain,
( ~ sQ75_spl
| ~ sQ196_spl
| ~ sQ20_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f1247,f898,f351,f1109,f568]) ).
fof(f1249,plain,
( sQ149_spl
| ndr1_1(a679) ),
inference(resolution,[status(thm)],[f900,f131]) ).
fof(f1250,plain,
( ~ sQ107_spl
| ~ sQ198_spl
| c3_2(a676,a650)
| ~ c3_1(a676)
| ~ ndr1_1(a676)
| ~ c4_2(a676,a650) ),
inference(resolution,[status(thm)],[f1121,f689]) ).
fof(f1251,definition,
( sQ215_spl
<=> c3_2(a676,a650) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ215_spl
| c3_2(a676,a650) ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( ~ sQ107_spl
| ~ sQ198_spl
| sQ215_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f1250,f917,f419,f423,f1251,f1120,f688]) ).
fof(f1255,plain,
( ~ sQ51_spl
| sQ37_spl
| c2_1(a676) ),
inference(resolution,[status(thm)],[f421,f476]) ).
fof(f1256,plain,
( ~ sQ107_spl
| ~ sQ205_spl
| c3_2(a674,a650)
| ~ c3_1(a674)
| ~ ndr1_1(a674)
| ~ c4_2(a674,a650) ),
inference(resolution,[status(thm)],[f1175,f689]) ).
fof(f1257,definition,
( sQ216_spl
<=> c3_1(a674) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( sQ216_spl
| ~ c3_1(a674) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,definition,
( sQ217_spl
<=> c3_2(a674,a650) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ217_spl
| c3_2(a674,a650) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,plain,
( ~ sQ107_spl
| ~ sQ205_spl
| sQ217_spl
| ~ sQ216_spl
| ~ sQ204_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f1256,f1030,f1171,f1257,f1260,f1174,f688]) ).
fof(f1264,plain,
( ~ sQ107_spl
| ~ sQ206_spl
| c3_2(a643,a650)
| ~ c3_1(a643)
| ~ ndr1_1(a643)
| ~ c4_2(a643,a650) ),
inference(resolution,[status(thm)],[f1180,f689]) ).
fof(f1265,definition,
( sQ218_spl
<=> c3_1(a643) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ218_spl
| ~ c3_1(a643) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,definition,
( sQ219_spl
<=> c3_2(a643,a650) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( ~ sQ219_spl
| c3_2(a643,a650) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( ~ sQ107_spl
| ~ sQ206_spl
| sQ219_spl
| ~ sQ218_spl
| ~ sQ11_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1264,f1044,f315,f1265,f1268,f1179,f688]) ).
fof(f1272,plain,
( ~ sQ51_spl
| sQ11_spl
| c2_1(a643) ),
inference(resolution,[status(thm)],[f317,f476]) ).
fof(f1273,plain,
( ~ sQ107_spl
| ~ sQ207_spl
| c3_2(a660,a650)
| ~ c3_1(a660)
| ~ ndr1_1(a660)
| ~ c4_2(a660,a650) ),
inference(resolution,[status(thm)],[f1185,f689]) ).
fof(f1274,definition,
( sQ220_spl
<=> c3_2(a660,a650) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ220_spl
| c3_2(a660,a650) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( ~ sQ107_spl
| ~ sQ207_spl
| sQ220_spl
| ~ sQ161_spl
| ~ sQ18_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f1273,f1060,f343,f951,f1274,f1184,f688]) ).
fof(f1278,plain,
( sQ167_spl
| ssSkP0(a669) ),
inference(resolution,[status(thm)],[f982,f148]) ).
fof(f1279,plain,
( sQ153_spl
| ndr1_1(a676) ),
inference(resolution,[status(thm)],[f914,f131]) ).
fof(f1280,plain,
( sQ153_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1279,f419,f912]) ).
fof(f1281,plain,
( sQ179_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f317]) ).
fof(f1282,plain,
( sQ179_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1283,plain,
( ~ sQ51_spl
| sQ204_spl
| c2_1(a674) ),
inference(resolution,[status(thm)],[f1173,f476]) ).
fof(f1284,plain,
( ~ sQ92_spl
| ~ sQ203_spl
| c2_2(a669,a650)
| c3_2(a669,a650) ),
inference(resolution,[status(thm)],[f1152,f632]) ).
fof(f1285,definition,
( sQ221_spl
<=> c3_2(a669,a650) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ221_spl
| c3_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ222_spl
<=> c2_2(a669,a650) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ222_spl
| c2_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ222_spl
| ~ c2_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ92_spl
| ~ sQ203_spl
| sQ222_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1284,f1285,f1288,f1151,f631]) ).
fof(f1292,plain,
( ~ sQ107_spl
| ~ sQ213_spl
| c3_2(a669,a658)
| ~ c3_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a658) ),
inference(resolution,[status(thm)],[f1231,f689]) ).
fof(f1293,plain,
( ~ sQ107_spl
| ~ sQ213_spl
| sQ211_spl
| ~ sQ163_spl
| ~ sQ15_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1292,f993,f331,f959,f1223,f1230,f688]) ).
fof(f1294,plain,
( ~ sQ108_spl
| ~ sQ212_spl
| c5_1(a669)
| c1_2(a669,a658)
| ~ c1_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a658) ),
inference(resolution,[status(thm)],[f1227,f693]) ).
fof(f1295,plain,
( ~ sQ104_spl
| ~ sQ212_spl
| c4_1(a669)
| c4_2(a669,a658)
| c1_2(a669,a658)
| c5_2(a669,a658)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f1227,f677]) ).
fof(f1296,plain,
( ~ sQ105_spl
| ~ sQ212_spl
| c4_1(a669)
| c5_2(a669,a658)
| c1_2(a669,a658)
| c5_2(a669,a658)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f1227,f681]) ).
fof(f1297,plain,
( ~ sQ108_spl
| ~ sQ212_spl
| sQ169_spl
| sQ213_spl
| ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f1294,f993,f331,f395,f1230,f986,f1226,f692]) ).
fof(f1298,plain,
( ~ sQ104_spl
| ~ sQ212_spl
| sQ172_spl
| sQ171_spl
| sQ213_spl
| sQ173_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1295,f331,f1000,f1230,f993,f996,f1226,f676]) ).
fof(f1299,plain,
( ~ sQ105_spl
| ~ sQ212_spl
| sQ172_spl
| sQ213_spl
| sQ173_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1296,f331,f1000,f1230,f996,f1226,f680]) ).
fof(f1300,plain,
( ~ sQ170_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1220,f790,f990]) ).
fof(f1303,plain,
( ~ sQ75_spl
| ~ sQ215_spl
| ~ c4_1(a676)
| ~ ssSkP0(a676) ),
inference(resolution,[status(thm)],[f1252,f569]) ).
fof(f1304,plain,
( ~ sQ75_spl
| ~ sQ215_spl
| ~ sQ39_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f1303,f912,f427,f1251,f568]) ).
fof(f1305,plain,
( sQ167_spl
| ssSkP0(a669) ),
inference(resolution,[status(thm)],[f982,f148]) ).
fof(f1306,plain,
( ~ sQ75_spl
| ~ sQ217_spl
| ~ c4_1(a674)
| ~ ssSkP0(a674) ),
inference(resolution,[status(thm)],[f1261,f569]) ).
fof(f1307,plain,
( ~ sQ75_spl
| ~ sQ217_spl
| ~ sQ13_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1306,f1023,f323,f1260,f568]) ).
fof(f1308,plain,
( ~ sQ75_spl
| ~ sQ219_spl
| ~ c4_1(a643)
| ~ ssSkP0(a643) ),
inference(resolution,[status(thm)],[f1269,f569]) ).
fof(f1309,plain,
( ~ sQ75_spl
| ~ sQ219_spl
| ~ sQ12_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f1308,f1037,f319,f1268,f568]) ).
fof(f1310,plain,
( ~ sQ75_spl
| ~ sQ220_spl
| ~ c4_1(a660)
| ~ ssSkP0(a660) ),
inference(resolution,[status(thm)],[f1275,f569]) ).
fof(f1311,plain,
( ~ sQ75_spl
| ~ sQ220_spl
| ~ sQ35_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1310,f1053,f411,f1274,f568]) ).
fof(f1312,plain,
( ~ sQ108_spl
| ~ sQ222_spl
| c5_1(a669)
| c1_2(a669,a650)
| ~ c1_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a650) ),
inference(resolution,[status(thm)],[f1289,f693]) ).
fof(f1313,plain,
( ~ sQ104_spl
| ~ sQ222_spl
| c4_1(a669)
| c4_2(a669,a658)
| c1_2(a669,a650)
| c5_2(a669,a650)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f1289,f677]) ).
fof(f1314,plain,
( ~ sQ105_spl
| ~ sQ222_spl
| c4_1(a669)
| c5_2(a669,a658)
| c1_2(a669,a650)
| c5_2(a669,a650)
| ~ ndr1_1(a669) ),
inference(resolution,[status(thm)],[f1289,f681]) ).
fof(f1315,definition,
( sQ223_spl
<=> c1_2(a669,a650) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( ~ sQ223_spl
| c1_2(a669,a650) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( ~ sQ108_spl
| ~ sQ222_spl
| sQ169_spl
| sQ223_spl
| ~ sQ31_spl
| ~ sQ15_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f1312,f1151,f331,f395,f1315,f986,f1288,f692]) ).
fof(f1319,plain,
( ~ sQ104_spl
| ~ sQ222_spl
| sQ172_spl
| sQ171_spl
| sQ223_spl
| sQ202_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1313,f331,f1147,f1315,f993,f996,f1288,f676]) ).
fof(f1320,plain,
( ~ sQ105_spl
| ~ sQ222_spl
| sQ172_spl
| sQ173_spl
| sQ223_spl
| sQ202_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1314,f331,f1147,f1315,f1000,f996,f1288,f680]) ).
fof(f1321,plain,
( ~ sQ75_spl
| ~ sQ221_spl
| ~ c4_1(a669)
| ~ ssSkP0(a669) ),
inference(resolution,[status(thm)],[f1286,f569]) ).
fof(f1322,plain,
( ~ sQ75_spl
| ~ sQ221_spl
| ~ sQ172_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f1321,f790,f996,f1285,f568]) ).
fof(f1325,plain,
( ~ sQ107_spl
| ~ sQ223_spl
| c3_2(a669,a650)
| ~ c3_1(a669)
| ~ ndr1_1(a669)
| ~ c4_2(a669,a650) ),
inference(resolution,[status(thm)],[f1316,f689]) ).
fof(f1326,plain,
( ~ sQ107_spl
| ~ sQ223_spl
| sQ221_spl
| ~ sQ163_spl
| ~ sQ15_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f1325,f1151,f331,f959,f1285,f1315,f688]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| sQ10_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ18_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| sQ48_spl
| sQ49_spl
| sQ50_spl
| sQ51_spl
| sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| sQ63_spl
| sQ64_spl
| sQ65_spl
| sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| sQ72_spl
| sQ75_spl
| sQ77_spl
| ~ sQ78_spl
| sQ80_spl
| ~ sQ82_spl
| sQ83_spl
| sQ84_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| sQ88_spl
| sQ90_spl
| ~ sQ91_spl
| sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| ~ sQ102_spl
| ~ sQ103_spl
| sQ104_spl
| sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| sQ108_spl
| sQ109_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| sQ122_spl
| sQ123_spl
| sQ124_spl
| sQ125_spl
| sQ126_spl
| sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| sQ131_spl
| ~ sQ132_spl
| sQ133_spl
| sQ134_spl
| sQ135_spl
| sQ137_spl
| ~ sQ138_spl
| sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| sQ143_spl
| sQ144_spl
| sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| sQ148_spl
| ~ sQ149_spl
| sQ151_spl
| sQ152_spl
| ~ sQ154_spl
| sQ155_spl
| ~ sQ157_spl
| sQ159_spl
| ~ sQ161_spl
| ~ sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| sQ169_spl
| sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| sQ176_spl
| sQ177_spl
| ~ sQ178_spl
| sQ179_spl
| sQ180_spl
| ~ sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ186_spl
| ~ sQ187_spl
| sQ188_spl
| sQ190_spl
| sQ191_spl
| ~ sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| ~ sQ195_spl
| sQ197_spl
| sQ200_spl
| sQ201_spl
| sQ202_spl
| ~ sQ203_spl
| ~ sQ204_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| ~ sQ212_spl
| sQ213_spl
| sQ214_spl
| ~ sQ216_spl
| ~ sQ218_spl
| sQ221_spl
| ~ sQ222_spl
| sQ223_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN537-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:06:36 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % 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
% 0.13/0.42 % Elapsed time: 0.060226 seconds
% 0.13/0.42 % CPU time: 0.200534 seconds
% 0.13/0.42 % Total memory used: 23.354 MB
% 0.13/0.42 % Net memory used: 23.220 MB
%------------------------------------------------------------------------------