%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN522-1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:55 PM UTC 2026
% Result : Satisfiable 0.19s 0.51s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c4_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c1_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( c2_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC7
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ssSkC4
| 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,
( ssSkC1
| 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
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( c1_0
| c5_1(a118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c1_0
| c1_1(a118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ndr1_0
| ~ ssSkC1
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U] :
( ssSkP4(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ssSkC5
| ndr1_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ssSkC5
| c3_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ssSkC4
| ndr1_1(a125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U] :
( ssSkP3(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U] :
( ssSkP2(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ssSkC2
| c3_1(a109) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ssSkC1
| ndr1_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ndr1_1(a121)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c1_0
| ~ c2_1(a118) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c2_0
| ~ c1_1(a114) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c3_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ssSkC7
| ~ c2_1(a134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ssSkC5
| c4_2(a128,a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ssSkC5
| c2_2(a128,a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ssSkC5
| ~ c2_1(a128) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( ssSkC4
| c1_2(a125,a126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ssSkC4
| ~ c4_1(a125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U] :
( ssSkP3(U)
| c4_2(U,a119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U] :
( ssSkP2(U)
| c5_2(U,a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U] :
( ssSkP2(U)
| c1_2(U,a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U] :
( ssSkP1(U)
| c2_2(U,a115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [U] :
( ssSkP1(U)
| c5_2(U,a115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ssSkC2
| ~ c1_1(a109) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ssSkC1
| c1_2(a106,a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ssSkC1
| c4_2(a106,a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ssSkC1
| c2_2(a106,a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ssSkC1
| ~ c5_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U] :
( ssSkP0(U)
| c4_2(U,a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U] :
( ssSkP0(U)
| c3_2(U,a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ndr1_0
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c2_0
| ~ c5_1(a133)
| ~ ssSkC6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c2_0
| ~ c2_1(a133)
| ~ ssSkC6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ c1_1(a130)
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c3_2(a121,a122)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ndr1_1(a112)
| ~ c1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( ~ c4_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U] :
( ssSkP4(U)
| ~ c4_2(U,a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U] :
( ssSkP4(U)
| ~ c1_2(U,a131) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ssSkC5
| ~ c1_2(a128,a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ssSkC4
| ~ c4_2(a125,a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ssSkC4
| ~ c3_2(a125,a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ssSkC4
| ~ c2_2(a125,a127) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ssSkC4
| ~ c3_2(a125,a126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( ssSkC4
| ~ c5_2(a125,a126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( ssSkP3(U)
| ~ c3_2(U,a119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U] :
( ssSkP3(U)
| ~ c2_2(U,a119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U] :
( ssSkP2(U)
| ~ c2_2(U,a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c4_2(U,a115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( c4_1(a137)
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( c1_1(a137)
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( ~ c1_0
| ~ c2_2(a121,a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( c2_2(a112,a113)
| ~ c1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( ~ c1_0
| ~ c5_2(a112,a113)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( ~ c1_0
| ~ c3_2(a112,a113)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U] :
( ssSkC6
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( ssSkC6
| c5_1(U)
| c2_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( ssSkC6
| c5_1(U)
| c5_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( ssSkC6
| c5_1(U)
| c1_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c3_0
| c4_1(U)
| ndr1_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( c2_2(a130,U)
| c5_2(a130,U)
| ~ ndr1_1(a130)
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( c2_0
| c5_2(a114,U)
| ~ ndr1_1(a114)
| ~ c3_2(a114,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c3_0
| c4_1(U)
| c2_2(U,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( c3_0
| c4_1(U)
| c5_2(U,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( c1_2(a112,U)
| c5_2(a112,U)
| ~ c1_0
| ~ ndr1_1(a112)
| ~ ssSkC3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U] :
( c3_0
| c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ c1_2(U,a120)
| ~ ssSkP3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U] :
( c2_0
| c4_2(a114,U)
| c5_2(a114,U)
| c1_2(a114,U)
| ~ ndr1_1(a114) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U,V] :
( ndr1_1(U)
| c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U] :
( c1_2(a108,U)
| c2_2(a108,U)
| c4_2(a108,U)
| ~ ndr1_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U] :
( ssSkC7
| c1_2(a134,U)
| c4_2(a134,U)
| ~ ndr1_1(a134)
| ~ c5_2(a134,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( c4_2(U,a117)
| c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U,V] :
( c3_2(U,a117)
| c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U] :
( c3_2(a121,U)
| ~ c1_0
| ~ ndr1_1(a121)
| ~ c4_2(a121,U)
| ~ c1_2(a121,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U] :
( c3_2(a121,U)
| ~ c1_0
| ~ ndr1_1(a121)
| ~ c1_2(a121,U)
| ~ c5_2(a121,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U,V] :
( c2_1(V)
| ~ c3_0
| ~ c5_2(U,a117)
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U] :
( ssSkC7
| ~ ndr1_1(a134)
| ~ c1_2(a134,U)
| ~ c3_2(a134,U)
| ~ c2_2(a134,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U] :
( ~ ndr1_1(a130)
| ~ c4_2(a130,U)
| ~ c2_2(a130,U)
| ~ c3_2(a130,U)
| ~ ssSkC5
| ~ ssSkC4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U,V] :
( c5_0
| c5_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [U,V] :
( ssSkC0
| c2_2(U,a105)
| c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [U,V] :
( ssSkC3
| c5_2(U,a111)
| c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [U,V] :
( ssSkC3
| c2_2(U,a111)
| c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [U,V] :
( ssSkC0
| c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c4_2(U,a105)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [U,V] :
( ssSkC0
| c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c3_2(U,a105)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [U,V] :
( c3_0
| ndr1_1(a139)
| c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [U,V] :
( c5_1(U)
| c5_2(U,a138)
| c3_2(U,V)
| c2_2(U,V)
| c5_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
! [U,V] :
( ssSkC3
| c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c3_2(U,a111)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
! [U,V] :
( c3_0
| c2_2(a139,a140)
| c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
! [U,V] :
( c3_0
| c1_2(a139,a140)
| c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
! [U,V] :
( c3_0
| c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ c5_1(a139)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [U,V] :
( c5_1(U)
| c3_2(U,V)
| c2_2(U,V)
| c5_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(U,a138)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
! [U,V] :
( c3_0
| c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ c4_2(a139,a140)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
! [U,V] :
( ~ c4_1(a110)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,negated_conjecture,
! [U,V] :
( ~ c3_1(a110)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
! [U,V,W] :
( c5_2(a110,W)
| c1_2(a110,W)
| ~ ndr1_1(a110)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,plain,
c4_0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f113,plain,
( c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f114,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
( ssSkC7
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
( ssSkC4
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f118,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f119,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f120,plain,
( ndr1_0
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f121,plain,
( ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f122,plain,
( c1_0
| c5_1(a118) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f123,plain,
( c1_0
| c1_1(a118) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f124,plain,
( ndr1_0
| ~ ssSkC1
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f125,plain,
! [X0] :
( ssSkP4(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f126,plain,
( ssSkC5
| ndr1_1(a128) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f127,plain,
( ssSkC5
| c3_1(a128) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f128,plain,
( ssSkC4
| ndr1_1(a125) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f129,plain,
! [X0] :
( ssSkP3(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f130,plain,
! [X0] :
( ssSkP2(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f131,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f132,plain,
( ssSkC2
| c3_1(a109) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f133,plain,
( ssSkC1
| ndr1_1(a106) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f134,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f135,plain,
( ndr1_1(a121)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f136,plain,
( c1_0
| ~ c2_1(a118) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f137,plain,
( c2_0
| ~ c1_1(a114) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f138,plain,
( c3_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f139,plain,
( ssSkC7
| ~ c2_1(a134) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f140,plain,
( ssSkC5
| c4_2(a128,a129) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f141,plain,
( ssSkC5
| c2_2(a128,a129) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f142,plain,
( ssSkC5
| ~ c2_1(a128) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f143,plain,
( ssSkC4
| c1_2(a125,a126) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f144,plain,
( ssSkC4
| ~ c4_1(a125) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f145,plain,
! [X0] :
( ssSkP3(X0)
| c4_2(X0,a119) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f146,plain,
! [X0] :
( ssSkP2(X0)
| c5_2(X0,a116) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f147,plain,
! [X0] :
( ssSkP2(X0)
| c1_2(X0,a116) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f148,plain,
! [X0] :
( ssSkP1(X0)
| c2_2(X0,a115) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f149,plain,
! [X0] :
( ssSkP1(X0)
| c5_2(X0,a115) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f150,plain,
( ssSkC2
| ~ c1_1(a109) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f151,plain,
( ssSkC1
| c1_2(a106,a107) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f152,plain,
( ssSkC1
| c4_2(a106,a107) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f153,plain,
( ssSkC1
| c2_2(a106,a107) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f154,plain,
( ssSkC1
| ~ c5_1(a106) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f155,plain,
! [X0] :
( ssSkP0(X0)
| c4_2(X0,a104) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f156,plain,
! [X0] :
( ssSkP0(X0)
| c3_2(X0,a104) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f157,plain,
( ndr1_0
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f158,plain,
( c2_0
| ~ c5_1(a133)
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f159,plain,
( c2_0
| ~ c2_1(a133)
| ~ ssSkC6 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f160,plain,
( ~ c1_1(a130)
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f161,plain,
( c3_2(a121,a122)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f162,plain,
( ndr1_1(a112)
| ~ c1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f163,plain,
( ~ c4_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f164,plain,
( c3_0
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f165,plain,
! [X0] :
( ssSkP4(X0)
| ~ c4_2(X0,a131) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f166,plain,
! [X0] :
( ssSkP4(X0)
| ~ c1_2(X0,a131) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f167,plain,
( ssSkC5
| ~ c1_2(a128,a129) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f168,plain,
( ssSkC4
| ~ c4_2(a125,a127) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f169,plain,
( ssSkC4
| ~ c3_2(a125,a127) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f170,plain,
( ssSkC4
| ~ c2_2(a125,a127) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f171,plain,
( ssSkC4
| ~ c3_2(a125,a126) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f172,plain,
( ssSkC4
| ~ c5_2(a125,a126) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f173,plain,
! [X0] :
( ssSkP3(X0)
| ~ c3_2(X0,a119) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f174,plain,
! [X0] :
( ssSkP3(X0)
| ~ c2_2(X0,a119) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f175,plain,
! [X0] :
( ssSkP2(X0)
| ~ c2_2(X0,a116) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f176,plain,
! [X0] :
( ssSkP1(X0)
| ~ c4_2(X0,a115) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f177,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a104) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f178,plain,
( c4_1(a137)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f179,plain,
( c1_1(a137)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f180,plain,
( ~ c1_0
| ~ c2_2(a121,a122) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f181,plain,
( c2_2(a112,a113)
| ~ c1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f182,plain,
( ~ c1_0
| ~ c5_2(a112,a113)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f183,plain,
( ~ c1_0
| ~ c3_2(a112,a113)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f184,plain,
( ssSkC6
| ! [U] :
( c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkP4(U) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f185,plain,
! [X0] :
( ssSkC6
| c5_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkP4(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( ssSkC6
| ! [U] :
( c5_1(U)
| c2_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f187,plain,
! [X0] :
( ssSkC6
| c5_1(X0)
| c2_2(X0,a132)
| ~ ndr1_0
| ~ ssSkP4(X0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( ssSkC6
| ! [U] :
( c5_1(U)
| c5_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f189,plain,
! [X0] :
( ssSkC6
| c5_1(X0)
| c5_2(X0,a132)
| ~ ndr1_0
| ~ ssSkP4(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( ssSkC6
| ! [U] :
( c5_1(U)
| c1_2(U,a132)
| ~ ndr1_0
| ~ ssSkP4(U) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f191,plain,
! [X0] :
( ssSkC6
| c5_1(X0)
| c1_2(X0,a132)
| ~ ndr1_0
| ~ ssSkP4(X0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( c3_0
| ! [U] :
( c4_1(U)
| ndr1_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f193,plain,
! [X0] :
( c3_0
| c4_1(X0)
| ndr1_1(X0)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
! [X0] :
( c2_2(a130,X0)
| c5_2(a130,X0)
| ~ ndr1_1(a130)
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f195,plain,
( c2_0
| ! [U] :
( c5_2(a114,U)
| ~ ndr1_1(a114)
| ~ c3_2(a114,U) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f196,plain,
! [X0] :
( c2_0
| c5_2(a114,X0)
| ~ ndr1_1(a114)
| ~ c3_2(a114,X0) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( c3_0
| ! [U] :
( c4_1(U)
| c2_2(U,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f198,plain,
! [X0] :
( c3_0
| c4_1(X0)
| c2_2(X0,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( c3_0
| ! [U] :
( c4_1(U)
| c5_2(U,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(U) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f200,plain,
! [X0] :
( c3_0
| c4_1(X0)
| c5_2(X0,a120)
| ~ c4_0
| ~ ndr1_0
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0] :
( c1_2(a112,X0)
| c5_2(a112,X0)
| ~ c1_0
| ~ ndr1_1(a112)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f202,plain,
( c3_0
| ! [U] :
( c4_1(U)
| ~ c4_0
| ~ ndr1_0
| ~ c1_2(U,a120)
| ~ ssSkP3(U) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f203,plain,
! [X0] :
( c3_0
| c4_1(X0)
| ~ c4_0
| ~ ndr1_0
| ~ c1_2(X0,a120)
| ~ ssSkP3(X0) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
( c2_0
| ! [U] :
( c4_2(a114,U)
| c5_2(a114,U)
| c1_2(a114,U)
| ~ ndr1_1(a114) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f205,plain,
! [X0] :
( c2_0
| c4_2(a114,X0)
| c5_2(a114,X0)
| c1_2(a114,X0)
| ~ ndr1_1(a114) ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
! [U] :
( ndr1_1(U)
| ! [V] :
( c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f207,plain,
! [X0,X1] :
( ndr1_1(X0)
| c2_1(X1)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(X1)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f208,plain,
! [X0] :
( c1_2(a108,X0)
| c2_2(a108,X0)
| c4_2(a108,X0)
| ~ ndr1_1(a108)
| ~ ssSkC1
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f209,plain,
( ssSkC7
| ! [U] :
( c1_2(a134,U)
| c4_2(a134,U)
| ~ ndr1_1(a134)
| ~ c5_2(a134,U) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f210,plain,
! [X0] :
( ssSkC7
| c1_2(a134,X0)
| c4_2(a134,X0)
| ~ ndr1_1(a134)
| ~ c5_2(a134,X0) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
! [U] :
( c4_2(U,a117)
| ! [V] :
( c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f212,plain,
! [X0,X1] :
( c4_2(X0,a117)
| c2_1(X1)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(X1)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
! [U] :
( c3_2(U,a117)
| ! [V] :
( c2_1(V)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f214,plain,
! [X0,X1] :
( c3_2(X0,a117)
| c2_1(X1)
| ~ c3_0
| ~ ndr1_0
| ~ c4_1(X1)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0] :
( c3_2(a121,X0)
| ~ c1_0
| ~ ndr1_1(a121)
| ~ c4_2(a121,X0)
| ~ c1_2(a121,X0) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f216,plain,
! [X0] :
( c3_2(a121,X0)
| ~ c1_0
| ~ ndr1_1(a121)
| ~ c1_2(a121,X0)
| ~ c5_2(a121,X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f217,plain,
! [V] :
( c2_1(V)
| ~ c3_0
| ! [U] :
( ~ c5_2(U,a117)
| ~ ndr1_0
| ~ c4_1(V)
| ~ ssSkP2(U)
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f218,plain,
! [X0,X1] :
( c2_1(X1)
| ~ c3_0
| ~ c5_2(X0,a117)
| ~ ndr1_0
| ~ c4_1(X1)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
( ssSkC7
| ~ ndr1_1(a134)
| ! [U] :
( ~ c1_2(a134,U)
| ~ c3_2(a134,U)
| ~ c2_2(a134,U) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f220,plain,
! [X0] :
( ssSkC7
| ~ ndr1_1(a134)
| ~ c1_2(a134,X0)
| ~ c3_2(a134,X0)
| ~ c2_2(a134,X0) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( ~ ndr1_1(a130)
| ! [U] :
( ~ c4_2(a130,U)
| ~ c2_2(a130,U)
| ~ c3_2(a130,U)
| ~ ssSkC5
| ~ ssSkC4 ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f222,plain,
! [X0] :
( ~ ndr1_1(a130)
| ~ c4_2(a130,X0)
| ~ c2_2(a130,X0)
| ~ c3_2(a130,X0)
| ~ ssSkC5
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( c5_0
| ! [U,V] :
( c5_2(U,V)
| c4_2(U,V)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ c3_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f224,plain,
! [X0,X1] :
( c5_0
| c5_2(X0,X1)
| c4_2(X0,X1)
| ~ c1_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( ssSkC0
| ! [U] :
( c2_2(U,a105)
| ! [V] :
( c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f226,plain,
! [X0,X1] :
( ssSkC0
| c2_2(X0,a105)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
( ssSkC3
| ! [U] :
( c5_2(U,a111)
| ! [V] :
( c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f228,plain,
! [X0,X1] :
( ssSkC3
| c5_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f229,plain,
( ssSkC3
| ! [U] :
( c2_2(U,a111)
| ! [V] :
( c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f230,plain,
! [X0,X1] :
( ssSkC3
| c2_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
( ssSkC0
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c4_2(U,a105)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f232,plain,
! [X0,X1] :
( ssSkC0
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c4_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f233,plain,
( ssSkC0
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c3_2(U,a105)
| ~ ndr1_1(U)
| ~ c5_2(U,V)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f234,plain,
! [X0,X1] :
( ssSkC0
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c3_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
( c3_0
| ndr1_1(a139)
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f236,plain,
! [X0,X1] :
( c3_0
| ndr1_1(a139)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
! [U] :
( c5_1(U)
| c5_2(U,a138)
| ! [V] :
( c3_2(U,V)
| c2_2(U,V)
| c5_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f238,plain,
! [X0,X1] :
( c5_1(X0)
| c5_2(X0,a138)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( ssSkC3
| ! [U,V] :
( c4_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ c3_2(U,a111)
| ~ ndr1_1(U)
| ~ c2_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f240,plain,
! [X0,X1] :
( ssSkC3
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c3_2(X0,a111)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( c3_0
| c2_2(a139,a140)
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f242,plain,
! [X0,X1] :
( c3_0
| c2_2(a139,a140)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( c3_0
| c1_2(a139,a140)
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f244,plain,
! [X0,X1] :
( c3_0
| c1_2(a139,a140)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( c3_0
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ c5_1(a139)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f246,plain,
! [X0,X1] :
( c3_0
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(a139)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
! [U] :
( c5_1(U)
| ! [V] :
( c3_2(U,V)
| c2_2(U,V)
| c5_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(U,a138)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f248,plain,
! [X0,X1] :
( c5_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(X0,a138)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( c3_0
| ! [U,V] :
( c3_2(U,V)
| c2_2(U,V)
| c1_2(U,V)
| ~ c4_2(a139,a140)
| ~ ndr1_0
| ~ c5_1(U)
| ~ c4_1(U)
| ~ ndr1_1(U) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f250,plain,
! [X0,X1] :
( c3_0
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_2(a139,a140)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( ~ c4_1(a110)
| ~ ndr1_0
| ! [U] :
( ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f252,plain,
! [X0,X1] :
( ~ c4_1(a110)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( ~ c3_1(a110)
| ~ ndr1_0
| ! [U] :
( ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ) ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f254,plain,
! [X0,X1] :
( ~ c3_1(a110)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
! [W] :
( c5_2(a110,W)
| c1_2(a110,W)
| ~ ndr1_1(a110)
| ~ ndr1_0
| ! [U] :
( ~ c3_1(U)
| ~ c5_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ ssSkC2 ) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f256,plain,
! [X0,X1,X2] :
( c5_2(a110,X2)
| c1_2(a110,X2)
| ~ ndr1_1(a110)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ1_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ1_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f113,f257,f260]) ).
fof(f264,definition,
( sQ2_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ2_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f114,f257,f264]) ).
fof(f268,definition,
( sQ3_spl
<=> ssSkC7 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ3_spl
| ssSkC7 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f115,f257,f268]) ).
fof(f272,definition,
( sQ4_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ4_spl
| ~ ssSkC5 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f116,f257,f272]) ).
fof(f276,definition,
( sQ5_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ5_spl
| ssSkC4 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f117,f257,f276]) ).
fof(f280,definition,
( sQ6_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f118,f257,f280]) ).
fof(f284,definition,
( sQ7_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ7_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ7_spl
| ~ ssSkC1 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f119,f257,f284]) ).
fof(f288,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f120,f276,f272,f257]) ).
fof(f289,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f121,f260,f257]) ).
fof(f290,definition,
( sQ8_spl
<=> c5_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ8_spl
| c5_1(a118) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f122,f290,f260]) ).
fof(f294,definition,
( sQ9_spl
<=> c1_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ9_spl
| c1_1(a118) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f123,f294,f260]) ).
fof(f298,definition,
( sQ10_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ10_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ10_spl
| ~ ssSkC0 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ0_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f124,f298,f284,f257]) ).
fof(f302,definition,
( sQ11_spl
<=> ndr1_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ11_spl
| ndr1_1(a128) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f126,f302,f272]) ).
fof(f306,definition,
( sQ12_spl
<=> c3_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ12_spl
| c3_1(a128) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f127,f306,f272]) ).
fof(f310,definition,
( sQ13_spl
<=> ndr1_1(a125) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ13_spl
| ndr1_1(a125) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f128,f310,f276]) ).
fof(f314,definition,
( sQ14_spl
<=> c3_1(a109) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ14_spl
| c3_1(a109) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f132,f314,f280]) ).
fof(f318,definition,
( sQ15_spl
<=> ndr1_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ15_spl
| ndr1_1(a106) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f133,f318,f284]) ).
fof(f322,definition,
( sQ16_spl
<=> ndr1_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ16_spl
| ~ ndr1_1(a121) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ16_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f135,f260,f322]) ).
fof(f326,definition,
( sQ17_spl
<=> c2_1(a118) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( sQ17_spl
| ~ c2_1(a118) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f136,f326,f260]) ).
fof(f330,definition,
( sQ18_spl
<=> c1_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( sQ18_spl
| ~ c1_1(a114) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f137,f330,f264]) ).
fof(f334,definition,
( sQ19_spl
<=> c3_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ19_spl
| c3_1(a108) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ19_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f138,f298,f284,f334]) ).
fof(f338,definition,
( sQ20_spl
<=> c2_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ20_spl
| ~ c2_1(a134) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( sQ3_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f139,f338,f268]) ).
fof(f342,definition,
( sQ21_spl
<=> c4_2(a128,a129) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ21_spl
| c4_2(a128,a129) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ4_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f140,f342,f272]) ).
fof(f346,definition,
( sQ22_spl
<=> c2_2(a128,a129) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ22_spl
| c2_2(a128,a129) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ4_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f141,f346,f272]) ).
fof(f350,definition,
( sQ23_spl
<=> c2_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ23_spl
| ~ c2_1(a128) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f142,f350,f272]) ).
fof(f354,definition,
( sQ24_spl
<=> c1_2(a125,a126) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ24_spl
| c1_2(a125,a126) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ5_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f143,f354,f276]) ).
fof(f358,definition,
( sQ25_spl
<=> c4_1(a125) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ25_spl
| ~ c4_1(a125) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( sQ5_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f144,f358,f276]) ).
fof(f362,definition,
( sQ26_spl
<=> c1_1(a109) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ26_spl
| ~ c1_1(a109) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ6_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f150,f362,f280]) ).
fof(f366,definition,
( sQ27_spl
<=> c1_2(a106,a107) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ27_spl
| c1_2(a106,a107) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( sQ7_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f151,f366,f284]) ).
fof(f370,definition,
( sQ28_spl
<=> c4_2(a106,a107) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ28_spl
| c4_2(a106,a107) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ7_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f152,f370,f284]) ).
fof(f374,definition,
( sQ29_spl
<=> c2_2(a106,a107) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ29_spl
| c2_2(a106,a107) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( sQ7_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f153,f374,f284]) ).
fof(f378,definition,
( sQ30_spl
<=> c5_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ30_spl
| ~ c5_1(a106) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( sQ7_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f154,f378,f284]) ).
fof(f382,definition,
( sQ31_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ31_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ32_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( sQ32_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ0_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f157,f382,f385,f257]) ).
fof(f389,definition,
( sQ33_spl
<=> ssSkC6 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ33_spl
| ssSkC6 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ34_spl
<=> c5_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ34_spl
| ~ c5_1(a133) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ2_spl
| ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f158,f389,f392,f264]) ).
fof(f396,definition,
( sQ35_spl
<=> c2_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( sQ35_spl
| ~ c2_1(a133) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ2_spl
| ~ sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f159,f389,f396,f264]) ).
fof(f400,definition,
( sQ36_spl
<=> c1_1(a130) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ36_spl
| ~ c1_1(a130) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ36_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f160,f276,f272,f400]) ).
fof(f404,definition,
( sQ37_spl
<=> c3_2(a121,a122) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ37_spl
| c3_2(a121,a122) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ37_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f161,f260,f404]) ).
fof(f408,definition,
( sQ38_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ38_spl
| ssSkC3 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ39_spl
<=> ndr1_1(a112) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ39_spl
| ~ sQ1_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f162,f408,f260,f411]) ).
fof(f415,definition,
( sQ40_spl
<=> c4_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ40_spl
| c4_1(a108) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( sQ40_spl
| ~ c4_1(a108) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( ~ sQ40_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f163,f298,f284,f415]) ).
fof(f419,definition,
( sQ41_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ31_spl
| ~ sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f164,f419,f260,f382]) ).
fof(f423,definition,
( sQ42_spl
<=> c1_2(a128,a129) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ42_spl
| ~ c1_2(a128,a129) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ4_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f167,f423,f272]) ).
fof(f427,definition,
( sQ43_spl
<=> c4_2(a125,a127) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ43_spl
| ~ c4_2(a125,a127) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ5_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f168,f427,f276]) ).
fof(f431,definition,
( sQ44_spl
<=> c3_2(a125,a127) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ44_spl
| ~ c3_2(a125,a127) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ5_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f169,f431,f276]) ).
fof(f435,definition,
( sQ45_spl
<=> c2_2(a125,a127) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ45_spl
| ~ c2_2(a125,a127) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ5_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f170,f435,f276]) ).
fof(f439,definition,
( sQ46_spl
<=> c3_2(a125,a126) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ46_spl
| c3_2(a125,a126) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ46_spl
| ~ c3_2(a125,a126) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ5_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f171,f439,f276]) ).
fof(f443,definition,
( sQ47_spl
<=> c5_2(a125,a126) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ47_spl
| c5_2(a125,a126) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ47_spl
| ~ c5_2(a125,a126) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ5_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f172,f443,f276]) ).
fof(f447,definition,
( sQ48_spl
<=> c4_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ48_spl
| c4_1(a137) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ48_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f178,f382,f385,f447]) ).
fof(f451,definition,
( sQ49_spl
<=> c1_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ49_spl
| c1_1(a137) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ49_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f179,f382,f385,f451]) ).
fof(f455,definition,
( sQ50_spl
<=> c2_2(a121,a122) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ50_spl
| ~ c2_2(a121,a122) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ1_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f180,f455,f260]) ).
fof(f459,definition,
( sQ51_spl
<=> c2_2(a112,a113) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ51_spl
| c2_2(a112,a113) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ51_spl
| ~ sQ1_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f181,f408,f260,f459]) ).
fof(f463,definition,
( sQ52_spl
<=> c5_2(a112,a113) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ52_spl
| c5_2(a112,a113) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ52_spl
| ~ c5_2(a112,a113) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( ~ sQ1_spl
| ~ sQ52_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f182,f408,f463,f260]) ).
fof(f467,definition,
( sQ53_spl
<=> c3_2(a112,a113) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ53_spl
| c3_2(a112,a113) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ53_spl
| ~ c3_2(a112,a113) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( ~ sQ1_spl
| ~ sQ53_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f183,f408,f467,f260]) ).
fof(f471,definition,
! [X0] :
( sQ54_spl
<=> ( c5_1(X0)
| ndr1_1(X0)
| ~ ssSkP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f472,plain,
! [X0] :
( ~ sQ54_spl
| c5_1(X0)
| ndr1_1(X0)
| ~ ssSkP4(X0) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ33_spl
| ~ sQ0_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f185,f471,f257,f389]) ).
fof(f475,definition,
! [X0] :
( sQ55_spl
<=> ( c5_1(X0)
| c2_2(X0,a132)
| ~ ssSkP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f476,plain,
! [X0] :
( ~ sQ55_spl
| c5_1(X0)
| c2_2(X0,a132)
| ~ ssSkP4(X0) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ33_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f187,f475,f257,f389]) ).
fof(f479,definition,
! [X0] :
( sQ56_spl
<=> ( c5_1(X0)
| c5_2(X0,a132)
| ~ ssSkP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f480,plain,
! [X0] :
( ~ sQ56_spl
| c5_1(X0)
| c5_2(X0,a132)
| ~ ssSkP4(X0) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ33_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f189,f479,f257,f389]) ).
fof(f483,definition,
! [X0] :
( sQ57_spl
<=> ( c5_1(X0)
| c1_2(X0,a132)
| ~ ssSkP4(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f484,plain,
! [X0] :
( ~ sQ57_spl
| c5_1(X0)
| c1_2(X0,a132)
| ~ ssSkP4(X0) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ33_spl
| ~ sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f191,f483,f257,f389]) ).
fof(f487,definition,
! [X0] :
( sQ58_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f488,plain,
! [X0] :
( ~ sQ58_spl
| c4_1(X0)
| ndr1_1(X0)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( sQ31_spl
| ~ sQ32_spl
| ~ sQ0_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f193,f487,f257,f385,f382]) ).
fof(f491,definition,
( sQ59_spl
<=> ndr1_1(a130) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ59_spl
| ~ ndr1_1(a130) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
! [X0] :
( sQ60_spl
<=> ( c2_2(a130,X0)
| c5_2(a130,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f495,plain,
! [X0] :
( ~ sQ60_spl
| c2_2(a130,X0)
| c5_2(a130,X0) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ60_spl
| ~ sQ59_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f194,f276,f272,f491,f494]) ).
fof(f498,definition,
! [X0] :
( sQ61_spl
<=> ( c5_2(a114,X0)
| ~ c3_2(a114,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f499,plain,
! [X0] :
( ~ sQ61_spl
| c5_2(a114,X0)
| ~ c3_2(a114,X0) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ62_spl
<=> ndr1_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ62_spl
| ndr1_1(a114) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ62_spl
| ~ ndr1_1(a114) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( sQ2_spl
| ~ sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f196,f498,f501,f264]) ).
fof(f505,definition,
! [X0] :
( sQ63_spl
<=> ( c4_1(X0)
| c2_2(X0,a120)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f506,plain,
! [X0] :
( ~ sQ63_spl
| c4_1(X0)
| c2_2(X0,a120)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ31_spl
| ~ sQ32_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f198,f505,f257,f385,f382]) ).
fof(f509,definition,
! [X0] :
( sQ64_spl
<=> ( c4_1(X0)
| c5_2(X0,a120)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f510,plain,
! [X0] :
( ~ sQ64_spl
| c4_1(X0)
| c5_2(X0,a120)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( sQ31_spl
| ~ sQ32_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f200,f509,f257,f385,f382]) ).
fof(f513,definition,
! [X0] :
( sQ65_spl
<=> ( c1_2(a112,X0)
| c5_2(a112,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f514,plain,
! [X0] :
( ~ sQ65_spl
| c1_2(a112,X0)
| c5_2(a112,X0) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( sQ65_spl
| ~ sQ1_spl
| ~ sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f201,f408,f411,f260,f513]) ).
fof(f517,definition,
! [X0] :
( sQ66_spl
<=> ( c4_1(X0)
| ~ c1_2(X0,a120)
| ~ ssSkP3(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f518,plain,
! [X0] :
( ~ sQ66_spl
| c4_1(X0)
| ~ c1_2(X0,a120)
| ~ ssSkP3(X0) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( sQ31_spl
| ~ sQ32_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f203,f517,f257,f385,f382]) ).
fof(f521,definition,
! [X0] :
( sQ67_spl
<=> ( c4_2(a114,X0)
| c5_2(a114,X0)
| c1_2(a114,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f522,plain,
! [X0] :
( ~ sQ67_spl
| c4_2(a114,X0)
| c5_2(a114,X0)
| c1_2(a114,X0) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( sQ2_spl
| sQ67_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f205,f501,f521,f264]) ).
fof(f525,definition,
! [X0] :
( sQ68_spl
<=> ( ndr1_1(X0)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f526,plain,
! [X0] :
( ~ sQ68_spl
| ndr1_1(X0)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
! [X1] :
( sQ69_spl
<=> ( c2_1(X1)
| ~ c4_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f529,plain,
! [X0] :
( ~ sQ69_spl
| c2_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f207,f525,f528,f257,f382]) ).
fof(f532,definition,
( sQ70_spl
<=> ndr1_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ70_spl
| ndr1_1(a108) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ70_spl
| ~ ndr1_1(a108) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
! [X0] :
( sQ71_spl
<=> ( c1_2(a108,X0)
| c2_2(a108,X0)
| c4_2(a108,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f536,plain,
! [X0] :
( ~ sQ71_spl
| c1_2(a108,X0)
| c2_2(a108,X0)
| c4_2(a108,X0) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( sQ71_spl
| ~ sQ70_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f208,f298,f284,f532,f535]) ).
fof(f539,definition,
! [X0] :
( sQ72_spl
<=> ( c1_2(a134,X0)
| c4_2(a134,X0)
| ~ c5_2(a134,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f540,plain,
! [X0] :
( ~ sQ72_spl
| c1_2(a134,X0)
| c4_2(a134,X0)
| ~ c5_2(a134,X0) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ73_spl
<=> ndr1_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ73_spl
| ~ ndr1_1(a134) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( sQ3_spl
| ~ sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f210,f539,f542,f268]) ).
fof(f546,definition,
! [X0] :
( sQ74_spl
<=> ( c4_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f547,plain,
! [X0] :
( ~ sQ74_spl
| c4_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f212,f546,f528,f257,f382]) ).
fof(f550,definition,
! [X0] :
( sQ75_spl
<=> ( c3_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0] :
( ~ sQ75_spl
| c3_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| sQ69_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f214,f550,f528,f257,f382]) ).
fof(f554,definition,
! [X0] :
( sQ76_spl
<=> ( c3_2(a121,X0)
| ~ c4_2(a121,X0)
| ~ c1_2(a121,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f555,plain,
! [X0] :
( ~ sQ76_spl
| c3_2(a121,X0)
| ~ c4_2(a121,X0)
| ~ c1_2(a121,X0) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f215,f554,f322,f260]) ).
fof(f558,definition,
! [X0] :
( sQ77_spl
<=> ( c3_2(a121,X0)
| ~ c1_2(a121,X0)
| ~ c5_2(a121,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f559,plain,
! [X0] :
( ~ sQ77_spl
| c3_2(a121,X0)
| ~ c1_2(a121,X0)
| ~ c5_2(a121,X0) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f216,f558,f322,f260]) ).
fof(f562,definition,
! [X0] :
( sQ78_spl
<=> ( ~ c5_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f563,plain,
! [X0] :
( ~ sQ78_spl
| ~ c5_2(X0,a117)
| ~ ssSkP2(X0)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| sQ69_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f218,f562,f528,f257,f382]) ).
fof(f566,definition,
! [X0] :
( sQ79_spl
<=> ( ~ c1_2(a134,X0)
| ~ c3_2(a134,X0)
| ~ c2_2(a134,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f567,plain,
! [X0] :
( ~ sQ79_spl
| ~ c1_2(a134,X0)
| ~ c3_2(a134,X0)
| ~ c2_2(a134,X0) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( sQ3_spl
| ~ sQ73_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f220,f566,f542,f268]) ).
fof(f570,definition,
! [X0] :
( sQ80_spl
<=> ( ~ c4_2(a130,X0)
| ~ c2_2(a130,X0)
| ~ c3_2(a130,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f571,plain,
! [X0] :
( ~ sQ80_spl
| ~ c4_2(a130,X0)
| ~ c2_2(a130,X0)
| ~ c3_2(a130,X0) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ59_spl
| sQ80_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f222,f276,f272,f570,f491]) ).
fof(f574,definition,
! [X0,X1] :
( sQ81_spl
<=> ( c5_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f575,plain,
! [X0,X1] :
( ~ sQ81_spl
| c5_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( sQ41_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f224,f574,f257,f260,f419]) ).
fof(f578,definition,
! [X0,X1] :
( sQ82_spl
<=> ( c2_2(X0,a105)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0,X1] :
( ~ sQ82_spl
| c2_2(X0,a105)
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( sQ10_spl
| ~ sQ0_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f226,f578,f257,f298]) ).
fof(f582,definition,
! [X0,X1] :
( sQ83_spl
<=> ( c5_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f583,plain,
! [X0,X1] :
( ~ sQ83_spl
| c5_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( sQ38_spl
| ~ sQ0_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f228,f582,f257,f408]) ).
fof(f586,definition,
! [X0,X1] :
( sQ84_spl
<=> ( c2_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f587,plain,
! [X0,X1] :
( ~ sQ84_spl
| c2_2(X0,a111)
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( sQ38_spl
| ~ sQ0_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f230,f586,f257,f408]) ).
fof(f590,definition,
! [X0,X1] :
( sQ85_spl
<=> ( c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f591,plain,
! [X0,X1] :
( ~ sQ85_spl
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( sQ10_spl
| ~ sQ0_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f232,f590,f257,f298]) ).
fof(f594,definition,
! [X0,X1] :
( sQ86_spl
<=> ( c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f595,plain,
! [X0,X1] :
( ~ sQ86_spl
| c3_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,a105)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( sQ10_spl
| ~ sQ0_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f234,f594,f257,f298]) ).
fof(f598,definition,
! [X0,X1] :
( sQ87_spl
<=> ( c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f599,plain,
! [X0,X1] :
( ~ sQ87_spl
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ88_spl
<=> ndr1_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ88_spl
| ndr1_1(a139) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ31_spl
| sQ88_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f236,f598,f257,f601,f382]) ).
fof(f605,definition,
! [X0,X1] :
( sQ89_spl
<=> ( c5_1(X0)
| c5_2(X0,a138)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f606,plain,
! [X0,X1] :
( ~ sQ89_spl
| c5_1(X0)
| c5_2(X0,a138)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ0_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f238,f605,f257,f264,f385]) ).
fof(f609,definition,
! [X0,X1] :
( sQ90_spl
<=> ( c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ c3_2(X0,a111)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f610,plain,
! [X0,X1] :
( ~ sQ90_spl
| c4_2(X0,X1)
| c1_2(X0,X1)
| ~ c4_1(X0)
| ~ c3_2(X0,a111)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( sQ38_spl
| ~ sQ0_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f240,f609,f257,f408]) ).
fof(f613,definition,
( sQ91_spl
<=> c2_2(a139,a140) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ91_spl
| c2_2(a139,a140) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( sQ31_spl
| sQ91_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f242,f598,f257,f613,f382]) ).
fof(f617,definition,
( sQ92_spl
<=> c1_2(a139,a140) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ92_spl
| c1_2(a139,a140) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( sQ31_spl
| sQ92_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f244,f598,f257,f617,f382]) ).
fof(f621,definition,
( sQ93_spl
<=> c5_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( sQ93_spl
| ~ c5_1(a139) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( sQ31_spl
| ~ sQ93_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f246,f598,f257,f621,f382]) ).
fof(f625,definition,
! [X0,X1] :
( sQ94_spl
<=> ( c5_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ c4_2(X0,a138)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f626,plain,
! [X0,X1] :
( ~ sQ94_spl
| c5_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ c4_2(X0,a138)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ0_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f248,f625,f257,f264,f385]) ).
fof(f629,definition,
( sQ95_spl
<=> c4_2(a139,a140) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( sQ95_spl
| ~ c4_2(a139,a140) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ31_spl
| ~ sQ95_spl
| ~ sQ0_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f250,f598,f257,f629,f382]) ).
fof(f633,definition,
! [X0,X1] :
( sQ96_spl
<=> ( ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f634,plain,
! [X0,X1] :
( ~ sQ96_spl
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ97_spl
<=> c4_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ97_spl
| ~ c4_1(a110) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( ~ sQ97_spl
| ~ sQ0_spl
| sQ96_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f252,f280,f633,f257,f636]) ).
fof(f640,definition,
( sQ98_spl
<=> c3_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( sQ98_spl
| ~ c3_1(a110) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( ~ sQ98_spl
| ~ sQ0_spl
| sQ96_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f254,f280,f633,f257,f640]) ).
fof(f644,definition,
( sQ99_spl
<=> ndr1_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ99_spl
| ndr1_1(a110) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( sQ99_spl
| ~ ndr1_1(a110) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
! [X2] :
( sQ100_spl
<=> ( c5_2(a110,X2)
| c1_2(a110,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f648,plain,
! [X0] :
( ~ sQ100_spl
| c5_2(a110,X0)
| c1_2(a110,X0) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,plain,
( sQ100_spl
| ~ sQ99_spl
| ~ sQ0_spl
| sQ96_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f256,f280,f633,f257,f644,f647]) ).
fof(f651,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f112]) ).
fof(f652,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f655,plain,
! [X0] :
( ~ sQ82_spl
| ssSkP2(X0)
| c2_2(X0,a105)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ ndr1_1(X0)
| ~ ssSkP0(X0) ),
inference(resolution,[status(thm)],[f579,f146]) ).
fof(f656,plain,
! [X0] :
( ~ sQ82_spl
| ssSkP2(X0)
| c2_2(X0,a105)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f130]) ).
fof(f657,plain,
! [X0] :
( ~ sQ82_spl
| ssSkP2(X0)
| c2_2(X0,a105)
| c3_2(X0,a116)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f175]) ).
fof(f660,plain,
! [X0] :
( ~ sQ85_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ c4_2(X0,a105)
| ~ ndr1_1(X0)
| ~ ssSkP0(X0) ),
inference(resolution,[status(thm)],[f591,f146]) ).
fof(f661,plain,
! [X0] :
( ~ sQ85_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ c4_2(X0,a105)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f130]) ).
fof(f662,plain,
! [X0] :
( ~ sQ85_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| ~ c4_2(X0,a105)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f175]) ).
fof(f664,plain,
! [X0] :
( ~ sQ86_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ c3_2(X0,a105)
| ~ ndr1_1(X0)
| ~ ssSkP0(X0) ),
inference(resolution,[status(thm)],[f595,f146]) ).
fof(f665,plain,
! [X0] :
( ~ sQ86_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| c2_2(X0,a116)
| ~ c3_2(X0,a105)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f130]) ).
fof(f666,plain,
! [X0] :
( ~ sQ86_spl
| ssSkP2(X0)
| c3_2(X0,a116)
| ~ c3_2(X0,a105)
| ~ ssSkP0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f175]) ).
fof(f667,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| c5_1(a128)
| c5_2(a128,a138)
| c3_2(a128,X0)
| c2_2(a128,X0)
| c5_2(a128,X0) ),
inference(resolution,[status(thm)],[f303,f606]) ).
fof(f668,definition,
! [X0] :
( sQ101_spl
<=> ( c3_2(a128,X0)
| c2_2(a128,X0)
| c5_2(a128,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f669,plain,
! [X0] :
( ~ sQ101_spl
| c3_2(a128,X0)
| c2_2(a128,X0)
| c5_2(a128,X0) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ102_spl
<=> c5_2(a128,a138) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ102_spl
| c5_2(a128,a138) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ103_spl
<=> c5_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ103_spl
| c5_1(a128) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f667,f668,f671,f674,f302,f605]) ).
fof(f678,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ48_spl
| c3_2(a137,X0)
| c2_2(a137,X0)
| c1_2(a137,X0)
| ~ c5_1(a137)
| ~ ndr1_1(a137) ),
inference(resolution,[status(thm)],[f448,f599]) ).
fof(f679,plain,
( ~ sQ69_spl
| ~ sQ48_spl
| c2_1(a137) ),
inference(resolution,[status(thm)],[f448,f529]) ).
fof(f680,definition,
( sQ104_spl
<=> ndr1_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ104_spl
| ndr1_1(a137) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( sQ104_spl
| ~ ndr1_1(a137) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ105_spl
<=> c5_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( sQ105_spl
| ~ c5_1(a137) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
! [X0] :
( sQ106_spl
<=> ( c3_2(a137,X0)
| c2_2(a137,X0)
| c1_2(a137,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f687,plain,
! [X0] :
( ~ sQ106_spl
| c3_2(a137,X0)
| c2_2(a137,X0)
| c1_2(a137,X0) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( ~ sQ87_spl
| ~ sQ48_spl
| sQ106_spl
| ~ sQ105_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f678,f680,f683,f686,f447,f598]) ).
fof(f690,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| ssSkP2(a137)
| c3_2(a137,a116)
| ~ ssSkP0(a137)
| c2_2(a137,a105)
| c1_2(a137,a105) ),
inference(resolution,[status(thm)],[f687,f666]) ).
fof(f691,plain,
( ~ sQ106_spl
| ssSkP3(a137)
| c2_2(a137,a119)
| c1_2(a137,a119) ),
inference(resolution,[status(thm)],[f687,f173]) ).
fof(f692,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ106_spl
| ~ c3_1(a137)
| ~ c5_1(a137)
| ~ ndr1_1(a137)
| ~ c1_2(a137,X0)
| ~ c5_2(a137,X0)
| c2_2(a137,X0)
| c1_2(a137,X0) ),
inference(resolution,[status(thm)],[f687,f634]) ).
fof(f693,definition,
( sQ107_spl
<=> c1_2(a137,a105) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ107_spl
| c1_2(a137,a105) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ108_spl
<=> c2_2(a137,a105) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ108_spl
| c2_2(a137,a105) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ109_spl
<=> ssSkP0(a137) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( sQ109_spl
| ~ ssSkP0(a137) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ110_spl
<=> c3_2(a137,a116) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ110_spl
| c3_2(a137,a116) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ111_spl
<=> ssSkP2(a137) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ111_spl
| ssSkP2(a137) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| sQ111_spl
| sQ110_spl
| ~ sQ109_spl
| sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f690,f693,f696,f699,f702,f705,f686,f594]) ).
fof(f709,definition,
( sQ112_spl
<=> c1_2(a137,a119) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ112_spl
| c1_2(a137,a119) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ113_spl
<=> c2_2(a137,a119) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ113_spl
| c2_2(a137,a119) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ114_spl
<=> ssSkP3(a137) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ114_spl
| ssSkP3(a137) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( sQ114_spl
| ~ ssSkP3(a137) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ106_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f691,f709,f712,f715,f686]) ).
fof(f719,definition,
! [X0] :
( sQ115_spl
<=> ( ~ c1_2(a137,X0)
| ~ c5_2(a137,X0)
| c2_2(a137,X0)
| c1_2(a137,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f722,definition,
( sQ116_spl
<=> c3_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( sQ116_spl
| ~ c3_1(a137) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( ~ sQ96_spl
| ~ sQ106_spl
| ~ sQ116_spl
| ~ sQ105_spl
| ~ sQ104_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f692,f719,f680,f683,f722,f686,f633]) ).
fof(f726,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ100_spl
| c3_2(a110,X0)
| c2_2(a110,X0)
| ~ c4_2(a110,a105)
| ~ ndr1_1(a110)
| ~ ssSkP0(a110)
| c1_2(a110,X0) ),
inference(resolution,[status(thm)],[f648,f591]) ).
fof(f727,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ100_spl
| c2_2(a110,a105)
| c3_2(a110,X0)
| c2_2(a110,X0)
| ~ ndr1_1(a110)
| ~ ssSkP0(a110)
| c1_2(a110,X0) ),
inference(resolution,[status(thm)],[f648,f579]) ).
fof(f728,definition,
! [X0] :
( sQ117_spl
<=> ( c3_2(a110,X0)
| c2_2(a110,X0)
| c1_2(a110,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f729,plain,
! [X0] :
( ~ sQ117_spl
| c3_2(a110,X0)
| c2_2(a110,X0)
| c1_2(a110,X0) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ118_spl
<=> ssSkP0(a110) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( sQ118_spl
| ~ ssSkP0(a110) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ119_spl
<=> c4_2(a110,a105) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( sQ119_spl
| ~ c4_2(a110,a105) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ85_spl
| ~ sQ100_spl
| ~ sQ119_spl
| ~ sQ99_spl
| ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f726,f728,f731,f644,f734,f647,f590]) ).
fof(f738,definition,
( sQ120_spl
<=> c2_2(a110,a105) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ120_spl
| c2_2(a110,a105) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( ~ sQ82_spl
| ~ sQ100_spl
| sQ120_spl
| ~ sQ99_spl
| ~ sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f727,f728,f731,f644,f738,f647,f578]) ).
fof(f742,plain,
( ~ sQ101_spl
| ssSkP3(a128)
| c2_2(a128,a119)
| c5_2(a128,a119) ),
inference(resolution,[status(thm)],[f669,f173]) ).
fof(f743,definition,
( sQ121_spl
<=> c5_2(a128,a119) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ121_spl
| c5_2(a128,a119) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ122_spl
<=> c2_2(a128,a119) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ122_spl
| c2_2(a128,a119) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ123_spl
<=> ssSkP3(a128) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ123_spl
| ssSkP3(a128) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ101_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f742,f743,f746,f749,f668]) ).
fof(f753,plain,
( ~ sQ117_spl
| ssSkP3(a110)
| c2_2(a110,a119)
| c1_2(a110,a119) ),
inference(resolution,[status(thm)],[f729,f173]) ).
fof(f754,definition,
( sQ124_spl
<=> c1_2(a110,a119) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ124_spl
| c1_2(a110,a119) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ125_spl
<=> c2_2(a110,a119) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ125_spl
| c2_2(a110,a119) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ126_spl
<=> ssSkP3(a110) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ126_spl
| ssSkP3(a110) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( ~ sQ117_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f753,f754,f757,f760,f728]) ).
fof(f764,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ15_spl
| c5_1(a106)
| c5_2(a106,a138)
| c3_2(a106,X0)
| c2_2(a106,X0)
| c5_2(a106,X0) ),
inference(resolution,[status(thm)],[f319,f606]) ).
fof(f765,definition,
! [X0] :
( sQ127_spl
<=> ( c3_2(a106,X0)
| c2_2(a106,X0)
| c5_2(a106,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f766,plain,
! [X0] :
( ~ sQ127_spl
| c3_2(a106,X0)
| c2_2(a106,X0)
| c5_2(a106,X0) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ128_spl
<=> c5_2(a106,a138) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ128_spl
| c5_2(a106,a138) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ89_spl
| ~ sQ15_spl
| sQ30_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f764,f765,f768,f378,f318,f605]) ).
fof(f772,plain,
( ~ sQ127_spl
| ssSkP3(a106)
| c2_2(a106,a119)
| c5_2(a106,a119) ),
inference(resolution,[status(thm)],[f766,f173]) ).
fof(f773,definition,
( sQ129_spl
<=> c5_2(a106,a119) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ129_spl
| c5_2(a106,a119) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,definition,
( sQ130_spl
<=> c2_2(a106,a119) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ130_spl
| c2_2(a106,a119) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ131_spl
<=> ssSkP3(a106) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ131_spl
| ssSkP3(a106) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ127_spl
| sQ131_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f772,f773,f776,f779,f765]) ).
fof(f783,plain,
( sQ118_spl
| ndr1_1(a110) ),
inference(resolution,[status(thm)],[f733,f134]) ).
fof(f784,plain,
( sQ118_spl
| sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f646]) ).
fof(f785,plain,
( sQ118_spl
| sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f786,plain,
! [X0] :
( ~ sQ68_spl
| ndr1_1(X0)
| ~ ssSkP2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f526,f131]) ).
fof(f787,plain,
! [X0] :
( ~ sQ58_spl
| c4_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f129]) ).
fof(f788,plain,
! [X0] :
( ~ sQ54_spl
| c5_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f125]) ).
fof(f789,plain,
( ~ sQ29_spl
| ~ sQ90_spl
| c4_2(a106,a107)
| c1_2(a106,a107)
| ~ c4_1(a106)
| ~ c3_2(a106,a111)
| ~ ndr1_1(a106) ),
inference(resolution,[status(thm)],[f610,f375]) ).
fof(f790,plain,
( ~ sQ22_spl
| ~ sQ90_spl
| c4_2(a128,a129)
| c1_2(a128,a129)
| ~ c4_1(a128)
| ~ c3_2(a128,a111)
| ~ ndr1_1(a128) ),
inference(resolution,[status(thm)],[f610,f347]) ).
fof(f791,plain,
! [X0] :
( ~ sQ90_spl
| ssSkP1(X0)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0)
| ~ c3_2(X0,a111)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f610,f148]) ).
fof(f792,definition,
( sQ132_spl
<=> c3_2(a106,a111) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( sQ132_spl
| ~ c3_2(a106,a111) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,definition,
( sQ133_spl
<=> c4_1(a106) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( sQ133_spl
| ~ c4_1(a106) ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,plain,
( ~ sQ29_spl
| ~ sQ90_spl
| sQ28_spl
| sQ27_spl
| ~ sQ133_spl
| ~ sQ132_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f789,f318,f792,f795,f366,f370,f609,f374]) ).
fof(f799,definition,
( sQ134_spl
<=> c3_2(a128,a111) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( sQ134_spl
| ~ c3_2(a128,a111) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,definition,
( sQ135_spl
<=> c4_1(a128) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( sQ135_spl
| ~ c4_1(a128) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( ~ sQ22_spl
| ~ sQ90_spl
| sQ21_spl
| sQ42_spl
| ~ sQ135_spl
| ~ sQ134_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f790,f302,f799,f802,f423,f342,f609,f346]) ).
fof(f806,plain,
! [X0] :
( ~ sQ90_spl
| ssSkP1(X0)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0)
| ~ c3_2(X0,a111) ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f131]) ).
fof(f807,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| c2_2(a106,a111)
| c4_2(a106,a107)
| c1_2(a106,a107)
| ~ c4_1(a106)
| ~ ndr1_1(a106) ),
inference(resolution,[status(thm)],[f587,f375]) ).
fof(f808,plain,
( ~ sQ22_spl
| ~ sQ84_spl
| c2_2(a128,a111)
| c4_2(a128,a129)
| c1_2(a128,a129)
| ~ c4_1(a128)
| ~ ndr1_1(a128) ),
inference(resolution,[status(thm)],[f587,f347]) ).
fof(f809,plain,
! [X0] :
( ~ sQ84_spl
| ssSkP1(X0)
| c2_2(X0,a111)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f587,f148]) ).
fof(f810,definition,
( sQ136_spl
<=> c2_2(a106,a111) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ136_spl
| c2_2(a106,a111) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| sQ136_spl
| sQ28_spl
| sQ27_spl
| ~ sQ133_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f807,f318,f795,f366,f370,f810,f586,f374]) ).
fof(f814,definition,
( sQ137_spl
<=> c2_2(a128,a111) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ137_spl
| c2_2(a128,a111) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( ~ sQ22_spl
| ~ sQ84_spl
| sQ137_spl
| sQ21_spl
| sQ42_spl
| ~ sQ135_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f808,f302,f802,f423,f342,f814,f586,f346]) ).
fof(f818,plain,
! [X0] :
( ~ sQ84_spl
| ssSkP1(X0)
| c2_2(X0,a111)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f131]) ).
fof(f819,plain,
( ~ sQ29_spl
| ~ sQ83_spl
| c5_2(a106,a111)
| c4_2(a106,a107)
| c1_2(a106,a107)
| ~ c4_1(a106)
| ~ ndr1_1(a106) ),
inference(resolution,[status(thm)],[f583,f375]) ).
fof(f820,plain,
( ~ sQ22_spl
| ~ sQ83_spl
| c5_2(a128,a111)
| c4_2(a128,a129)
| c1_2(a128,a129)
| ~ c4_1(a128)
| ~ ndr1_1(a128) ),
inference(resolution,[status(thm)],[f583,f347]) ).
fof(f821,plain,
! [X0] :
( ~ sQ83_spl
| ssSkP1(X0)
| c5_2(X0,a111)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f583,f148]) ).
fof(f822,definition,
( sQ138_spl
<=> c5_2(a106,a111) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ138_spl
| c5_2(a106,a111) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ29_spl
| ~ sQ83_spl
| sQ138_spl
| sQ28_spl
| sQ27_spl
| ~ sQ133_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f819,f318,f795,f366,f370,f822,f582,f374]) ).
fof(f826,definition,
( sQ139_spl
<=> c5_2(a128,a111) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ139_spl
| c5_2(a128,a111) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( ~ sQ22_spl
| ~ sQ83_spl
| sQ139_spl
| sQ21_spl
| sQ42_spl
| ~ sQ135_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f820,f302,f802,f423,f342,f826,f582,f346]) ).
fof(f830,plain,
! [X0] :
( ~ sQ83_spl
| ssSkP1(X0)
| c5_2(X0,a111)
| c4_2(X0,a115)
| c1_2(X0,a115)
| ~ c4_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f131]) ).
fof(f831,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ81_spl
| c5_2(a137,X0)
| c4_2(a137,X0)
| ~ c3_1(a137)
| ~ ndr1_1(a137) ),
inference(resolution,[status(thm)],[f575,f448]) ).
fof(f832,definition,
! [X0] :
( sQ140_spl
<=> ( c5_2(a137,X0)
| c4_2(a137,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f833,plain,
! [X0] :
( ~ sQ140_spl
| c5_2(a137,X0)
| c4_2(a137,X0) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ sQ48_spl
| ~ sQ81_spl
| sQ140_spl
| ~ sQ116_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f831,f680,f722,f832,f574,f447]) ).
fof(f836,plain,
( ~ sQ72_spl
| ssSkP1(a134)
| c1_2(a134,a115)
| c4_2(a134,a115) ),
inference(resolution,[status(thm)],[f540,f149]) ).
fof(f837,plain,
( ~ sQ72_spl
| ssSkP2(a134)
| c1_2(a134,a116)
| c4_2(a134,a116) ),
inference(resolution,[status(thm)],[f540,f146]) ).
fof(f838,definition,
( sQ141_spl
<=> c4_2(a134,a115) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ141_spl
| c4_2(a134,a115) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
( sQ142_spl
<=> c1_2(a134,a115) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ142_spl
| c1_2(a134,a115) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ143_spl
<=> ssSkP1(a134) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ143_spl
| ssSkP1(a134) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ sQ72_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f836,f838,f841,f844,f539]) ).
fof(f848,definition,
( sQ144_spl
<=> c4_2(a134,a116) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ144_spl
| c4_2(a134,a116) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ145_spl
<=> c1_2(a134,a116) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ145_spl
| c1_2(a134,a116) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ146_spl
<=> ssSkP2(a134) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ146_spl
| ssSkP2(a134) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( ~ sQ72_spl
| sQ146_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f837,f848,f851,f854,f539]) ).
fof(f858,plain,
( ~ sQ71_spl
| ssSkP0(a108)
| c2_2(a108,a104)
| c4_2(a108,a104) ),
inference(resolution,[status(thm)],[f536,f177]) ).
fof(f859,plain,
( ~ sQ71_spl
| ssSkP4(a108)
| c2_2(a108,a131)
| c4_2(a108,a131) ),
inference(resolution,[status(thm)],[f536,f166]) ).
fof(f860,definition,
( sQ147_spl
<=> c4_2(a108,a104) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ147_spl
| c4_2(a108,a104) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ148_spl
<=> c2_2(a108,a104) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ148_spl
| c2_2(a108,a104) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ149_spl
<=> ssSkP0(a108) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ149_spl
| ssSkP0(a108) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( ~ sQ71_spl
| sQ149_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f858,f860,f863,f866,f535]) ).
fof(f870,definition,
( sQ150_spl
<=> c4_2(a108,a131) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ150_spl
| c4_2(a108,a131) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ151_spl
<=> c2_2(a108,a131) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ151_spl
| c2_2(a108,a131) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ152_spl
<=> ssSkP4(a108) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ152_spl
| ssSkP4(a108) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( sQ152_spl
| ~ ssSkP4(a108) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ sQ71_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f859,f870,f873,f876,f535]) ).
fof(f880,plain,
! [X0] :
( ~ sQ64_spl
| ndr1_1(X0)
| c4_1(X0)
| c5_2(X0,a120) ),
inference(resolution,[status(thm)],[f510,f129]) ).
fof(f881,plain,
! [X0] :
( ~ sQ63_spl
| ndr1_1(X0)
| c4_1(X0)
| c2_2(X0,a120) ),
inference(resolution,[status(thm)],[f506,f129]) ).
fof(f882,plain,
( ~ sQ63_spl
| ~ sQ114_spl
| c4_1(a137)
| c2_2(a137,a120) ),
inference(resolution,[status(thm)],[f716,f506]) ).
fof(f883,plain,
( ~ sQ64_spl
| ~ sQ114_spl
| c4_1(a137)
| c5_2(a137,a120) ),
inference(resolution,[status(thm)],[f716,f510]) ).
fof(f884,definition,
( sQ153_spl
<=> c2_2(a137,a120) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ153_spl
| c2_2(a137,a120) ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,plain,
( ~ sQ63_spl
| ~ sQ114_spl
| sQ48_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f882,f884,f447,f715,f505]) ).
fof(f888,definition,
( sQ154_spl
<=> c5_2(a137,a120) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ154_spl
| c5_2(a137,a120) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ64_spl
| ~ sQ114_spl
| sQ48_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f883,f888,f447,f715,f509]) ).
fof(f892,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ88_spl
| c5_1(a139)
| c5_2(a139,a138)
| c3_2(a139,X0)
| c2_2(a139,X0)
| c5_2(a139,X0) ),
inference(resolution,[status(thm)],[f602,f606]) ).
fof(f893,definition,
! [X0] :
( sQ155_spl
<=> ( c3_2(a139,X0)
| c2_2(a139,X0)
| c5_2(a139,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f894,plain,
! [X0] :
( ~ sQ155_spl
| c3_2(a139,X0)
| c2_2(a139,X0)
| c5_2(a139,X0) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ156_spl
<=> c5_2(a139,a138) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f897,plain,
( ~ sQ156_spl
| c5_2(a139,a138) ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| sQ93_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f892,f893,f896,f621,f601,f605]) ).
fof(f900,plain,
( ~ sQ80_spl
| ssSkP0(a130)
| ~ c4_2(a130,a104)
| ~ c2_2(a130,a104) ),
inference(resolution,[status(thm)],[f571,f156]) ).
fof(f901,definition,
( sQ157_spl
<=> c2_2(a130,a104) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( sQ157_spl
| ~ c2_2(a130,a104) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ158_spl
<=> c4_2(a130,a104) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ158_spl
| ~ c4_2(a130,a104) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,definition,
( sQ159_spl
<=> ssSkP0(a130) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ159_spl
| ssSkP0(a130) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( ~ sQ80_spl
| sQ159_spl
| ~ sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f900,f901,f904,f907,f570]) ).
fof(f911,plain,
( sQ109_spl
| ndr1_1(a137) ),
inference(resolution,[status(thm)],[f701,f134]) ).
fof(f912,plain,
( sQ109_spl
| sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f911,f682]) ).
fof(f913,plain,
( sQ109_spl
| sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( ~ sQ79_spl
| ssSkP0(a134)
| ~ c1_2(a134,a104)
| ~ c2_2(a134,a104) ),
inference(resolution,[status(thm)],[f567,f156]) ).
fof(f915,definition,
( sQ160_spl
<=> c2_2(a134,a104) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( sQ160_spl
| ~ c2_2(a134,a104) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ161_spl
<=> c1_2(a134,a104) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( sQ161_spl
| ~ c1_2(a134,a104) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,definition,
( sQ162_spl
<=> ssSkP0(a134) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( ~ sQ162_spl
| ssSkP0(a134) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( ~ sQ79_spl
| sQ162_spl
| ~ sQ161_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f914,f915,f918,f921,f566]) ).
fof(f925,plain,
( ~ sQ65_spl
| ~ sQ78_spl
| c1_2(a112,a117)
| ~ ssSkP2(a112)
| ~ ssSkP1(a112) ),
inference(resolution,[status(thm)],[f563,f514]) ).
fof(f926,plain,
( ~ sQ67_spl
| ~ sQ78_spl
| c4_2(a114,a117)
| c1_2(a114,a117)
| ~ ssSkP2(a114)
| ~ ssSkP1(a114) ),
inference(resolution,[status(thm)],[f563,f522]) ).
fof(f927,definition,
( sQ163_spl
<=> ssSkP1(a112) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f929,plain,
( sQ163_spl
| ~ ssSkP1(a112) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ164_spl
<=> ssSkP2(a112) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( sQ164_spl
| ~ ssSkP2(a112) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ165_spl
<=> c1_2(a112,a117) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ165_spl
| c1_2(a112,a117) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ65_spl
| ~ sQ78_spl
| sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f925,f927,f930,f933,f562,f513]) ).
fof(f937,definition,
( sQ166_spl
<=> ssSkP1(a114) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ166_spl
| ~ ssSkP1(a114) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ167_spl
<=> ssSkP2(a114) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( sQ167_spl
| ~ ssSkP2(a114) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ168_spl
<=> c1_2(a114,a117) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ168_spl
| c1_2(a114,a117) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ169_spl
<=> c4_2(a114,a117) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ169_spl
| c4_2(a114,a117) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( ~ sQ67_spl
| ~ sQ78_spl
| sQ169_spl
| sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f926,f937,f940,f943,f946,f562,f521]) ).
fof(f950,plain,
( ~ sQ77_spl
| ssSkP1(a121)
| c3_2(a121,a115)
| ~ c1_2(a121,a115) ),
inference(resolution,[status(thm)],[f559,f149]) ).
fof(f951,plain,
( ~ sQ77_spl
| ssSkP2(a121)
| c3_2(a121,a116)
| ~ c1_2(a121,a116) ),
inference(resolution,[status(thm)],[f559,f146]) ).
fof(f952,definition,
( sQ170_spl
<=> c1_2(a121,a115) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( sQ170_spl
| ~ c1_2(a121,a115) ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ171_spl
<=> c3_2(a121,a115) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ171_spl
| c3_2(a121,a115) ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ172_spl
<=> ssSkP1(a121) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ172_spl
| ssSkP1(a121) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ77_spl
| sQ172_spl
| sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f950,f952,f955,f958,f558]) ).
fof(f962,definition,
( sQ173_spl
<=> c1_2(a121,a116) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( sQ173_spl
| ~ c1_2(a121,a116) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ174_spl
<=> c3_2(a121,a116) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ174_spl
| c3_2(a121,a116) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ175_spl
<=> ssSkP2(a121) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ175_spl
| ssSkP2(a121) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,plain,
( ~ sQ77_spl
| sQ175_spl
| sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f951,f962,f965,f968,f558]) ).
fof(f972,plain,
( ~ sQ76_spl
| ssSkP2(a121)
| c3_2(a121,a116)
| ~ c4_2(a121,a116) ),
inference(resolution,[status(thm)],[f555,f147]) ).
fof(f973,definition,
( sQ176_spl
<=> c4_2(a121,a116) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( sQ176_spl
| ~ c4_2(a121,a116) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( ~ sQ76_spl
| sQ175_spl
| sQ174_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f972,f973,f965,f968,f554]) ).
fof(f977,plain,
! [X0] :
( ~ sQ75_spl
| ndr1_1(X0)
| c3_2(X0,a117)
| ~ ssSkP2(X0) ),
inference(resolution,[status(thm)],[f551,f131]) ).
fof(f978,plain,
! [X0] :
( ~ sQ75_spl
| ndr1_1(X0)
| c3_2(X0,a117) ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f130]) ).
fof(f979,plain,
! [X0] :
( ~ sQ74_spl
| ndr1_1(X0)
| c4_2(X0,a117)
| ~ ssSkP2(X0) ),
inference(resolution,[status(thm)],[f547,f131]) ).
fof(f980,plain,
! [X0] :
( ~ sQ74_spl
| ndr1_1(X0)
| c4_2(X0,a117) ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f130]) ).
fof(f981,plain,
( sQ97_spl
| ~ sQ58_spl
| ndr1_1(a110) ),
inference(resolution,[status(thm)],[f787,f638]) ).
fof(f982,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ58_spl
| c2_1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f787,f529]) ).
fof(f983,plain,
! [X0,X1] :
( ~ sQ94_spl
| ~ sQ54_spl
| c5_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ c4_2(X0,a138) ),
inference(backward_subsumption_resolution,[status(thm)],[f626,f788]) ).
fof(f984,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ54_spl
| c5_1(X0)
| c5_2(X0,a138)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f606,f788]) ).
fof(f985,plain,
( sQ62_spl
| ~ sQ54_spl
| c5_1(a114) ),
inference(resolution,[status(thm)],[f788,f503]) ).
fof(f986,plain,
( sQ73_spl
| ~ sQ54_spl
| c5_1(a134) ),
inference(resolution,[status(thm)],[f788,f544]) ).
fof(f987,plain,
( sQ59_spl
| ~ sQ54_spl
| c5_1(a130) ),
inference(resolution,[status(thm)],[f788,f493]) ).
fof(f988,plain,
( sQ23_spl
| ~ sQ69_spl
| ~ sQ58_spl
| ndr1_1(a128) ),
inference(resolution,[status(thm)],[f982,f352]) ).
fof(f989,plain,
( sQ17_spl
| ~ sQ69_spl
| ~ sQ58_spl
| ndr1_1(a118) ),
inference(resolution,[status(thm)],[f982,f328]) ).
fof(f996,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ54_spl
| ssSkP3(X0)
| c5_1(X0)
| c5_2(X0,a138)
| c2_2(X0,a119)
| c5_2(X0,a119) ),
inference(resolution,[status(thm)],[f984,f173]) ).
fof(f997,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ54_spl
| ssSkP3(X0)
| c5_1(X0)
| c5_2(X0,a138)
| c5_2(X0,a119) ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f174]) ).
fof(f998,plain,
( ~ sQ155_spl
| ssSkP3(a139)
| c2_2(a139,a119)
| c5_2(a139,a119) ),
inference(resolution,[status(thm)],[f894,f173]) ).
fof(f999,definition,
( sQ177_spl
<=> c5_2(a139,a119) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ177_spl
| c5_2(a139,a119) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ178_spl
<=> c2_2(a139,a119) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ178_spl
| c2_2(a139,a119) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ179_spl
<=> ssSkP3(a139) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( ~ sQ179_spl
| ssSkP3(a139) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ155_spl
| sQ179_spl
| sQ178_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f998,f999,f1002,f1005,f893]) ).
fof(f1009,plain,
( ~ sQ54_spl
| sQ70_spl
| c5_1(a108) ),
inference(resolution,[status(thm)],[f534,f788]) ).
fof(f1010,plain,
( ~ sQ58_spl
| sQ40_spl
| ndr1_1(a108) ),
inference(resolution,[status(thm)],[f417,f787]) ).
fof(f1011,plain,
( ~ sQ58_spl
| sQ40_spl
| sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f534]) ).
fof(f1012,plain,
( ~ sQ58_spl
| sQ40_spl
| sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1015,plain,
! [X0,X1] :
( ~ sQ87_spl
| ~ sQ68_spl
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(X0)
| ~ c4_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f599,f1019]) ).
fof(f1016,plain,
( sQ62_spl
| ~ sQ68_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f503,f1019]) ).
fof(f1017,plain,
( sQ73_spl
| ~ sQ68_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f544,f1019]) ).
fof(f1018,plain,
( sQ59_spl
| ~ sQ68_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f493,f1019]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ68_spl
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f130]) ).
fof(f1020,plain,
( sQ62_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1021,plain,
( sQ73_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1022,plain,
( sQ97_spl
| ~ sQ58_spl
| ndr1_1(a110) ),
inference(resolution,[status(thm)],[f787,f638]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ55_spl
| c5_1(X0)
| c2_2(X0,a132)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f125,f476]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ56_spl
| c5_1(X0)
| c5_2(X0,a132)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f125,f480]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ57_spl
| c5_1(X0)
| c1_2(X0,a132)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f125,f484]) ).
fof(f1032,plain,
( sQ23_spl
| ~ sQ69_spl
| ~ sQ58_spl
| ndr1_1(a128) ),
inference(resolution,[status(thm)],[f982,f352]) ).
fof(f1033,plain,
( sQ17_spl
| ~ sQ69_spl
| ~ sQ58_spl
| ndr1_1(a118) ),
inference(resolution,[status(thm)],[f982,f328]) ).
fof(f1034,plain,
( ~ sQ69_spl
| ~ sQ58_spl
| sQ35_spl
| ndr1_1(a133) ),
inference(resolution,[status(thm)],[f398,f982]) ).
fof(f1035,plain,
( ~ sQ58_spl
| sQ25_spl
| ndr1_1(a125) ),
inference(resolution,[status(thm)],[f360,f787]) ).
fof(f1036,plain,
( ~ sQ69_spl
| ~ sQ58_spl
| sQ20_spl
| ndr1_1(a134) ),
inference(resolution,[status(thm)],[f340,f982]) ).
fof(f1037,plain,
( ~ sQ58_spl
| sQ135_spl
| ndr1_1(a128) ),
inference(resolution,[status(thm)],[f804,f787]) ).
fof(f1038,plain,
( ~ sQ58_spl
| sQ133_spl
| ndr1_1(a106) ),
inference(resolution,[status(thm)],[f797,f787]) ).
fof(f1039,plain,
( ~ sQ75_spl
| ~ sQ61_spl
| ndr1_1(a114)
| c5_2(a114,a117) ),
inference(resolution,[status(thm)],[f499,f978]) ).
fof(f1040,plain,
( ~ sQ61_spl
| ssSkP0(a114)
| c5_2(a114,a104) ),
inference(resolution,[status(thm)],[f499,f156]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ54_spl
| ~ sQ61_spl
| c5_1(a114)
| c5_2(a114,a138)
| c2_2(a114,X0)
| c5_2(a114,X0)
| c5_2(a114,X0) ),
inference(resolution,[status(thm)],[f499,f984]) ).
fof(f1042,definition,
( sQ180_spl
<=> c5_2(a114,a117) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ180_spl
| c5_2(a114,a117) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( ~ sQ75_spl
| ~ sQ61_spl
| sQ62_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1039,f1042,f501,f498,f550]) ).
fof(f1046,definition,
( sQ181_spl
<=> c5_2(a114,a104) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ181_spl
| c5_2(a114,a104) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ182_spl
<=> ssSkP0(a114) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ182_spl
| ssSkP0(a114) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ61_spl
| sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1040,f1046,f1049,f498]) ).
fof(f1053,definition,
! [X0] :
( sQ183_spl
<=> ( c2_2(a114,X0)
| c5_2(a114,X0)
| c5_2(a114,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ183_spl
| c2_2(a114,X0)
| c5_2(a114,X0)
| c5_2(a114,X0) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ184_spl
<=> c5_2(a114,a138) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ184_spl
| c5_2(a114,a138) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ185_spl
<=> c5_1(a114) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ185_spl
| c5_1(a114) ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,plain,
( ~ sQ89_spl
| ~ sQ54_spl
| ~ sQ61_spl
| sQ185_spl
| sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1041,f1053,f1056,f1059,f498,f471,f605]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ183_spl
| c2_2(a114,X0)
| c5_2(a114,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1054]) ).
fof(f1064,plain,
( ~ sQ89_spl
| ~ sQ54_spl
| sQ53_spl
| c5_1(a112)
| c5_2(a112,a138)
| c2_2(a112,a113)
| c5_2(a112,a113) ),
inference(resolution,[status(thm)],[f469,f984]) ).
fof(f1065,definition,
( sQ186_spl
<=> c5_2(a112,a138) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ186_spl
| c5_2(a112,a138) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,definition,
( sQ187_spl
<=> c5_1(a112) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ187_spl
| c5_1(a112) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,plain,
( ~ sQ89_spl
| ~ sQ54_spl
| sQ53_spl
| sQ187_spl
| sQ186_spl
| sQ51_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1064,f463,f459,f1065,f1068,f467,f471,f605]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ89_spl
| c5_1(a110)
| c5_2(a110,a138)
| c3_2(a110,X0)
| c2_2(a110,X0)
| c5_2(a110,X0) ),
inference(resolution,[status(thm)],[f606,f645]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ89_spl
| c5_1(a125)
| c5_2(a125,a138)
| c3_2(a125,X0)
| c2_2(a125,X0)
| c5_2(a125,X0) ),
inference(resolution,[status(thm)],[f606,f311]) ).
fof(f1074,definition,
! [X0] :
( sQ188_spl
<=> ( c3_2(a110,X0)
| c2_2(a110,X0)
| c5_2(a110,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ188_spl
| c3_2(a110,X0)
| c2_2(a110,X0)
| c5_2(a110,X0) ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,definition,
( sQ189_spl
<=> c5_2(a110,a138) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1078,plain,
( ~ sQ189_spl
| c5_2(a110,a138) ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,definition,
( sQ190_spl
<=> c5_1(a110) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ190_spl
| c5_1(a110) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1082,plain,
( sQ190_spl
| ~ c5_1(a110) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| sQ190_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1072,f1074,f1077,f1080,f605,f644]) ).
fof(f1084,definition,
! [X0] :
( sQ191_spl
<=> ( c3_2(a125,X0)
| c2_2(a125,X0)
| c5_2(a125,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ191_spl
| c3_2(a125,X0)
| c2_2(a125,X0)
| c5_2(a125,X0) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,definition,
( sQ192_spl
<=> c5_2(a125,a138) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1088,plain,
( ~ sQ192_spl
| c5_2(a125,a138) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,definition,
( sQ193_spl
<=> c5_1(a125) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( ~ sQ193_spl
| c5_1(a125) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( ~ sQ13_spl
| ~ sQ89_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1073,f1084,f1087,f1090,f605,f310]) ).
fof(f1094,plain,
( ~ sQ191_spl
| ssSkP3(a125)
| c2_2(a125,a119)
| c5_2(a125,a119) ),
inference(resolution,[status(thm)],[f1085,f173]) ).
fof(f1095,definition,
( sQ194_spl
<=> c5_2(a125,a119) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ194_spl
| c5_2(a125,a119) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ195_spl
<=> c2_2(a125,a119) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ195_spl
| c2_2(a125,a119) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ196_spl
<=> ssSkP3(a125) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ196_spl
| ssSkP3(a125) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( ~ sQ191_spl
| sQ196_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1094,f1095,f1098,f1101,f1084]) ).
fof(f1105,plain,
( ~ sQ188_spl
| ssSkP3(a110)
| c2_2(a110,a119)
| c5_2(a110,a119) ),
inference(resolution,[status(thm)],[f1075,f173]) ).
fof(f1106,definition,
( sQ197_spl
<=> c5_2(a110,a119) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( ~ sQ197_spl
| c5_2(a110,a119) ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ sQ188_spl
| sQ126_spl
| sQ125_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1105,f1106,f757,f760,f1074]) ).
fof(f1110,plain,
( ~ sQ191_spl
| sQ46_spl
| c2_2(a125,a126)
| c5_2(a125,a126) ),
inference(resolution,[status(thm)],[f441,f1085]) ).
fof(f1111,definition,
( sQ198_spl
<=> c2_2(a125,a126) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ198_spl
| c2_2(a125,a126) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ191_spl
| sQ46_spl
| sQ198_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1110,f443,f1111,f439,f1084]) ).
fof(f1115,plain,
( ~ sQ37_spl
| ~ sQ96_spl
| ~ c3_1(a121)
| ~ c5_1(a121)
| ~ ndr1_1(a121)
| ~ c1_2(a121,a122)
| ~ c5_2(a121,a122) ),
inference(resolution,[status(thm)],[f634,f405]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ188_spl
| ~ sQ96_spl
| c2_2(a110,X0)
| c5_2(a110,X0)
| ~ c3_1(a110)
| ~ c5_1(a110)
| ~ ndr1_1(a110)
| ~ c1_2(a110,X0)
| ~ c5_2(a110,X0) ),
inference(resolution,[status(thm)],[f634,f1075]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ96_spl
| c2_2(a110,X0)
| c1_2(a110,X0)
| ~ c3_1(a110)
| ~ c5_1(a110)
| ~ ndr1_1(a110)
| ~ c1_2(a110,X0)
| ~ c5_2(a110,X0) ),
inference(resolution,[status(thm)],[f634,f729]) ).
fof(f1120,definition,
( sQ199_spl
<=> c5_2(a121,a122) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( sQ199_spl
| ~ c5_2(a121,a122) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,definition,
( sQ200_spl
<=> c1_2(a121,a122) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( sQ200_spl
| ~ c1_2(a121,a122) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,definition,
( sQ201_spl
<=> c5_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( sQ201_spl
| ~ c5_1(a121) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,definition,
( sQ202_spl
<=> c3_1(a121) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ202_spl
| ~ c3_1(a121) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ37_spl
| ~ sQ96_spl
| ~ sQ202_spl
| ~ sQ201_spl
| ~ sQ16_spl
| ~ sQ200_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f1115,f1120,f1123,f322,f1126,f1129,f633,f404]) ).
fof(f1133,definition,
! [X0] :
( sQ203_spl
<=> ( c2_2(a110,X0)
| c5_2(a110,X0)
| ~ c1_2(a110,X0)
| ~ c5_2(a110,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ188_spl
| ~ sQ96_spl
| ~ sQ98_spl
| ~ sQ190_spl
| ~ sQ99_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1116,f1133,f644,f1080,f640,f633,f1074]) ).
fof(f1137,definition,
! [X0] :
( sQ204_spl
<=> ( c2_2(a110,X0)
| c1_2(a110,X0)
| ~ c1_2(a110,X0)
| ~ c5_2(a110,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ117_spl
| ~ sQ96_spl
| ~ sQ98_spl
| ~ sQ190_spl
| ~ sQ99_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1117,f1137,f644,f1080,f640,f633,f728]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ70_spl
| c5_1(a108)
| c5_2(a108,a138)
| c3_2(a108,X0)
| c2_2(a108,X0)
| c5_2(a108,X0) ),
inference(resolution,[status(thm)],[f533,f606]) ).
fof(f1142,definition,
! [X0] :
( sQ205_spl
<=> ( c3_2(a108,X0)
| c2_2(a108,X0)
| c5_2(a108,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ205_spl
| c3_2(a108,X0)
| c2_2(a108,X0)
| c5_2(a108,X0) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,definition,
( sQ206_spl
<=> c5_2(a108,a138) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ206_spl
| c5_2(a108,a138) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ207_spl
<=> c5_1(a108) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ207_spl
| c5_1(a108) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ89_spl
| ~ sQ70_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1141,f1142,f1145,f1148,f532,f605]) ).
fof(f1152,plain,
( ~ sQ74_spl
| ~ sQ143_spl
| c4_2(a134,a117)
| ~ ssSkP2(a134) ),
inference(resolution,[status(thm)],[f845,f547]) ).
fof(f1153,definition,
( sQ208_spl
<=> c4_2(a134,a117) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ208_spl
| c4_2(a134,a117) ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
( ~ sQ74_spl
| ~ sQ143_spl
| sQ208_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f1152,f854,f1153,f844,f546]) ).
fof(f1157,plain,
( ~ sQ55_spl
| ~ sQ152_spl
| c5_1(a108)
| c2_2(a108,a132) ),
inference(resolution,[status(thm)],[f877,f476]) ).
fof(f1158,plain,
( ~ sQ56_spl
| ~ sQ152_spl
| c5_1(a108)
| c5_2(a108,a132) ),
inference(resolution,[status(thm)],[f877,f480]) ).
fof(f1159,plain,
( ~ sQ57_spl
| ~ sQ152_spl
| c5_1(a108)
| c1_2(a108,a132) ),
inference(resolution,[status(thm)],[f877,f484]) ).
fof(f1160,definition,
( sQ209_spl
<=> c2_2(a108,a132) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ209_spl
| c2_2(a108,a132) ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( ~ sQ55_spl
| ~ sQ152_spl
| sQ207_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1157,f1160,f1148,f876,f475]) ).
fof(f1164,definition,
( sQ210_spl
<=> c5_2(a108,a132) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( ~ sQ210_spl
| c5_2(a108,a132) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( ~ sQ56_spl
| ~ sQ152_spl
| sQ207_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1158,f1164,f1148,f876,f479]) ).
fof(f1168,definition,
( sQ211_spl
<=> c1_2(a108,a132) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ211_spl
| c1_2(a108,a132) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sQ57_spl
| ~ sQ152_spl
| sQ207_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1159,f1168,f1148,f876,f483]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ104_spl
| c5_1(a137)
| c5_2(a137,a138)
| c3_2(a137,X0)
| c2_2(a137,X0)
| c5_2(a137,X0) ),
inference(resolution,[status(thm)],[f681,f606]) ).
fof(f1177,definition,
! [X0] :
( sQ212_spl
<=> ( c3_2(a137,X0)
| c2_2(a137,X0)
| c5_2(a137,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ212_spl
| c3_2(a137,X0)
| c2_2(a137,X0)
| c5_2(a137,X0) ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1180,definition,
( sQ213_spl
<=> c5_2(a137,a138) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ213_spl
| c5_2(a137,a138) ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| sQ105_spl
| sQ213_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1176,f1177,f1180,f683,f680,f605]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ40_spl
| c3_2(a108,X0)
| c2_2(a108,X0)
| c1_2(a108,X0)
| ~ c5_1(a108)
| ~ ndr1_1(a108) ),
inference(resolution,[status(thm)],[f416,f599]) ).
fof(f1185,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| c2_1(a108) ),
inference(resolution,[status(thm)],[f416,f529]) ).
fof(f1186,definition,
! [X0] :
( sQ214_spl
<=> ( c3_2(a108,X0)
| c2_2(a108,X0)
| c1_2(a108,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ214_spl
| c3_2(a108,X0)
| c2_2(a108,X0)
| c1_2(a108,X0) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ87_spl
| ~ sQ40_spl
| sQ214_spl
| ~ sQ207_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f1184,f532,f1148,f1186,f415,f598]) ).
fof(f1190,plain,
( ~ sQ205_spl
| ssSkP3(a108)
| c2_2(a108,a119)
| c5_2(a108,a119) ),
inference(resolution,[status(thm)],[f1143,f173]) ).
fof(f1191,definition,
( sQ215_spl
<=> c5_2(a108,a119) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ215_spl
| c5_2(a108,a119) ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,definition,
( sQ216_spl
<=> c2_2(a108,a119) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ216_spl
| c2_2(a108,a119) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ217_spl
<=> ssSkP3(a108) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
( ~ sQ217_spl
| ssSkP3(a108) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( ~ sQ205_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1190,f1191,f1194,f1197,f1142]) ).
fof(f1201,plain,
( ~ sQ212_spl
| ssSkP3(a137)
| c2_2(a137,a119)
| c5_2(a137,a119) ),
inference(resolution,[status(thm)],[f1178,f173]) ).
fof(f1202,definition,
( sQ218_spl
<=> c5_2(a137,a119) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ218_spl
| c5_2(a137,a119) ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( ~ sQ212_spl
| sQ114_spl
| sQ113_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1201,f1202,f712,f715,f1177]) ).
fof(f1208,plain,
( ~ sQ214_spl
| ssSkP3(a108)
| c2_2(a108,a119)
| c1_2(a108,a119) ),
inference(resolution,[status(thm)],[f1187,f173]) ).
fof(f1209,definition,
( sQ219_spl
<=> c1_2(a108,a119) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( ~ sQ219_spl
| c1_2(a108,a119) ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( ~ sQ214_spl
| sQ217_spl
| sQ216_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1208,f1209,f1194,f1197,f1186]) ).
fof(f1213,plain,
( sQ167_spl
| ndr1_1(a114) ),
inference(resolution,[status(thm)],[f942,f130]) ).
fof(f1214,plain,
( sQ166_spl
| ndr1_1(a114) ),
inference(resolution,[status(thm)],[f939,f131]) ).
fof(f1215,plain,
( sQ164_spl
| ndr1_1(a112) ),
inference(resolution,[status(thm)],[f932,f130]) ).
fof(f1216,plain,
( sQ163_spl
| ndr1_1(a112) ),
inference(resolution,[status(thm)],[f929,f131]) ).
fof(f1217,plain,
( ~ sQ141_spl
| ssSkP1(a134) ),
inference(resolution,[status(thm)],[f839,f176]) ).
fof(f1218,plain,
( ~ sQ150_spl
| ssSkP4(a108) ),
inference(resolution,[status(thm)],[f871,f165]) ).
fof(f1219,plain,
( ~ sQ150_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1218,f876,f870]) ).
fof(f1220,plain,
( sQ158_spl
| ssSkP0(a130) ),
inference(resolution,[status(thm)],[f906,f155]) ).
fof(f1221,plain,
( sQ173_spl
| ssSkP2(a121) ),
inference(resolution,[status(thm)],[f964,f147]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ89_spl
| sQ167_spl
| c5_1(a114)
| c5_2(a114,a138)
| c3_2(a114,X0)
| c2_2(a114,X0)
| c5_2(a114,X0) ),
inference(resolution,[status(thm)],[f1213,f606]) ).
fof(f1223,definition,
! [X0] :
( sQ220_spl
<=> ( c3_2(a114,X0)
| c2_2(a114,X0)
| c5_2(a114,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ220_spl
| c3_2(a114,X0)
| c2_2(a114,X0)
| c5_2(a114,X0) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( ~ sQ89_spl
| sQ167_spl
| sQ185_spl
| sQ184_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1222,f1223,f1056,f1059,f940,f605]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ89_spl
| sQ166_spl
| c5_1(a114)
| c5_2(a114,a138)
| c3_2(a114,X0)
| c2_2(a114,X0)
| c5_2(a114,X0) ),
inference(resolution,[status(thm)],[f1214,f606]) ).
fof(f1228,plain,
( ~ sQ89_spl
| sQ166_spl
| sQ185_spl
| sQ184_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1227,f1223,f1056,f1059,f937,f605]) ).
fof(f1229,plain,
( ~ sQ113_spl
| ssSkP3(a137) ),
inference(resolution,[status(thm)],[f713,f174]) ).
fof(f1230,plain,
( ~ sQ122_spl
| ssSkP3(a128) ),
inference(resolution,[status(thm)],[f747,f174]) ).
fof(f1231,plain,
( ~ sQ125_spl
| ssSkP3(a110) ),
inference(resolution,[status(thm)],[f758,f174]) ).
fof(f1232,plain,
( ~ sQ130_spl
| ssSkP3(a106) ),
inference(resolution,[status(thm)],[f777,f174]) ).
fof(f1233,plain,
( ~ sQ178_spl
| ssSkP3(a139) ),
inference(resolution,[status(thm)],[f1003,f174]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ89_spl
| sQ164_spl
| c5_1(a112)
| c5_2(a112,a138)
| c3_2(a112,X0)
| c2_2(a112,X0)
| c5_2(a112,X0) ),
inference(resolution,[status(thm)],[f1215,f606]) ).
fof(f1235,definition,
! [X0] :
( sQ221_spl
<=> ( c3_2(a112,X0)
| c2_2(a112,X0)
| c5_2(a112,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ221_spl
| c3_2(a112,X0)
| c2_2(a112,X0)
| c5_2(a112,X0) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ89_spl
| sQ164_spl
| sQ187_spl
| sQ186_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1234,f1235,f1065,f1068,f930,f605]) ).
fof(f1239,plain,
( ~ sQ195_spl
| ssSkP3(a125) ),
inference(resolution,[status(thm)],[f1099,f174]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ89_spl
| sQ163_spl
| c5_1(a112)
| c5_2(a112,a138)
| c3_2(a112,X0)
| c2_2(a112,X0)
| c5_2(a112,X0) ),
inference(resolution,[status(thm)],[f1216,f606]) ).
fof(f1241,plain,
( ~ sQ89_spl
| sQ163_spl
| sQ187_spl
| sQ186_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1240,f1235,f1065,f1068,f927,f605]) ).
fof(f1242,plain,
( ~ sQ216_spl
| ssSkP3(a108) ),
inference(resolution,[status(thm)],[f1195,f174]) ).
fof(f1243,plain,
( ~ sQ221_spl
| ssSkP3(a112)
| c2_2(a112,a119)
| c5_2(a112,a119) ),
inference(resolution,[status(thm)],[f1236,f173]) ).
fof(f1244,definition,
( sQ222_spl
<=> c5_2(a112,a119) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
( ~ sQ222_spl
| c5_2(a112,a119) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,definition,
( sQ223_spl
<=> c2_2(a112,a119) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1248,plain,
( ~ sQ223_spl
| c2_2(a112,a119) ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1250,definition,
( sQ224_spl
<=> ssSkP3(a112) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1251,plain,
( ~ sQ224_spl
| ssSkP3(a112) ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,plain,
( ~ sQ221_spl
| sQ224_spl
| sQ223_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1243,f1244,f1247,f1250,f1235]) ).
fof(f1254,plain,
( ~ sQ223_spl
| ssSkP3(a112) ),
inference(resolution,[status(thm)],[f1248,f174]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| sQ19_spl
| ~ sQ20_spl
| sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ38_spl
| sQ40_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| sQ66_spl
| ~ sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| sQ87_spl
| sQ89_spl
| sQ91_spl
| sQ92_spl
| sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ102_spl
| sQ103_spl
| sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| sQ107_spl
| sQ108_spl
| sQ110_spl
| sQ111_spl
| sQ112_spl
| sQ113_spl
| sQ115_spl
| ~ sQ116_spl
| ~ sQ119_spl
| sQ120_spl
| sQ121_spl
| sQ122_spl
| sQ123_spl
| sQ124_spl
| sQ125_spl
| sQ126_spl
| sQ128_spl
| sQ129_spl
| sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| sQ137_spl
| sQ138_spl
| sQ139_spl
| sQ140_spl
| sQ141_spl
| sQ142_spl
| sQ144_spl
| sQ145_spl
| sQ147_spl
| sQ148_spl
| sQ149_spl
| sQ151_spl
| sQ152_spl
| sQ153_spl
| sQ154_spl
| sQ156_spl
| ~ sQ157_spl
| ~ sQ158_spl
| sQ159_spl
| ~ sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| sQ165_spl
| sQ168_spl
| sQ169_spl
| ~ sQ170_spl
| sQ171_spl
| sQ172_spl
| ~ sQ173_spl
| sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| sQ184_spl
| sQ185_spl
| sQ186_spl
| sQ187_spl
| sQ189_spl
| sQ192_spl
| sQ193_spl
| sQ194_spl
| sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ198_spl
| ~ sQ199_spl
| ~ sQ200_spl
| ~ sQ201_spl
| ~ sQ202_spl
| sQ203_spl
| sQ204_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| sQ211_spl
| sQ213_spl
| sQ215_spl
| sQ216_spl
| sQ217_spl
| sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ221_spl
| sQ222_spl
| sQ223_spl
| sQ224_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN522-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 11:10:38 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.51 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.19/0.51 % SZS output start Saturation for theBenchmark
% See solution above
% 0.26/0.57 % Elapsed time: 0.113625 seconds
% 0.26/0.57 % CPU time: 0.164062 seconds
% 0.26/0.57 % Total memory used: 6.668 MB
% 0.26/0.57 % Net memory used: 6.644 MB
%------------------------------------------------------------------------------