%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN516-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 03:19:54 PM UTC 2026
% Result : Satisfiable 0.10s 0.56s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ssSkC5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC4
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( c1_0
| ndr1_0
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c3_0
| ndr1_0
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c5_0
| ndr1_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ssSkC3
| ndr1_1(a39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC3
| c2_1(a39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC1
| c3_1(a30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c1_0
| ndr1_1(a48)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c1_0
| c4_1(a48)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c3_0
| ndr1_1(a41)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c5_0
| ndr1_1(a31)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c5_0
| c1_1(a31)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ssSkC5
| ~ c3_1(a47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ssSkC4
| ~ c5_1(a43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ssSkC4
| ~ c2_1(a43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ssSkC3
| c1_2(a39,a40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ssSkC3
| c2_2(a39,a40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ssSkC1
| ~ c1_1(a30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ~ c2_0
| ~ c3_1(a46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( ndr1_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c3_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c4_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c3_0
| c5_2(a41,a42)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c3_0
| c4_2(a41,a42)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c3_0
| ~ c2_1(a41)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c5_0
| c2_2(a31,a33)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c5_0
| c3_2(a31,a32)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( c5_0
| c5_2(a31,a32)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c5_0
| ~ c2_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c1_0
| ~ c1_2(a48,a49)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( c1_0
| ~ c5_2(a48,a49)
| ~ ssSkC5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( c1_2(a44,a45)
| ~ c5_0
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( c3_0
| ~ c3_2(a41,a42)
| ~ ssSkC3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ndr1_1(a34)
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( c5_0
| ~ c4_2(a31,a33)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( c5_0
| ~ c5_2(a31,a33)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( c5_0
| ~ c4_2(a31,a32)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U] :
( ssSkC0
| c2_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ c5_0
| ~ c4_2(a44,a45)
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ c5_0
| ~ c2_2(a44,a45)
| ~ ssSkC4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c1_2(a34,a35)
| ~ c1_0
| ~ c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ c1_0
| ~ c4_0
| ~ c2_1(a34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ c1_0
| ~ c4_0
| ~ c1_1(a34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U] :
( c4_1(U)
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ c1_0
| ~ c4_0
| ~ c5_2(a34,a35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( ~ c1_0
| ~ c4_0
| ~ c4_2(a34,a35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [U] :
( c4_1(U)
| c5_1(U)
| c4_2(U,a37)
| ~ ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U] :
( c4_1(U)
| c5_1(U)
| c3_2(U,a37)
| ~ ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U] :
( ssSkC0
| c2_1(U)
| ~ ndr1_0
| ~ c5_2(U,a28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U] :
( ssSkC0
| c2_1(U)
| ~ ndr1_0
| ~ c3_2(U,a28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [U] :
( c4_1(U)
| ndr1_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [U] :
( c4_1(U)
| c5_1(U)
| ~ ndr1_0
| ~ c2_2(U,a37)
| ~ ssSkC2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( c4_1(U)
| c1_2(U,a38)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( c4_1(U)
| c3_2(U,a38)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ssSkC3
| c1_2(a39,U)
| ~ ndr1_1(a39)
| ~ c5_2(a39,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( c4_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(U)
| ~ c5_2(U,a38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U,V] :
( ssSkC2
| c5_1(U)
| c3_2(U,a36)
| c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U,V] :
( c1_0
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U,V] :
( ssSkC2
| c5_1(U)
| c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a36)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U,V] :
( ssSkC2
| c5_1(U)
| c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a36)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [U,V] :
( c5_0
| c4_0
| c4_2(U,a27)
| c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U,V] :
( c5_0
| c4_0
| c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a27)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U,V] :
( c5_0
| c4_0
| c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a27)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U,V] :
( c3_1(U)
| c2_2(U,a29)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U,V] :
( c3_1(U)
| ~ ndr1_0
| ~ c1_2(U,a29)
| ~ ndr1_1(U)
| ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,plain,
( ssSkC5
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f73,plain,
( ssSkC4
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( ssSkC3
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
( c1_0
| ndr1_0
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f77,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f78,plain,
( c3_0
| ndr1_0
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f79,plain,
( c5_0
| ndr1_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f80,plain,
( ssSkC3
| ndr1_1(a39) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f81,plain,
( ssSkC3
| c2_1(a39) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f82,plain,
( ssSkC1
| c3_1(a30) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f83,plain,
( c1_0
| ndr1_1(a48)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f84,plain,
( c1_0
| c4_1(a48)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f85,plain,
( ndr1_0
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f86,plain,
( c3_0
| ndr1_1(a41)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f87,plain,
( c5_0
| ndr1_1(a31)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f88,plain,
( c5_0
| c1_1(a31)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f89,plain,
( ssSkC5
| ~ c3_1(a47) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f90,plain,
( ssSkC4
| ~ c5_1(a43) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f91,plain,
( ssSkC4
| ~ c2_1(a43) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
( ssSkC3
| c1_2(a39,a40) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f93,plain,
( ssSkC3
| c2_2(a39,a40) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f94,plain,
( ssSkC1
| ~ c1_1(a30) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f95,plain,
( ~ c2_0
| ~ c3_1(a46) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f96,plain,
( ndr1_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f97,plain,
( c3_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f98,plain,
( c4_1(a44)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f99,plain,
( c3_0
| c5_2(a41,a42)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f100,plain,
( c3_0
| c4_2(a41,a42)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f101,plain,
( c3_0
| ~ c2_1(a41)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f102,plain,
( ndr1_0
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f103,plain,
( c5_0
| c2_2(a31,a33)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f104,plain,
( c5_0
| c3_2(a31,a32)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f105,plain,
( c5_0
| c5_2(a31,a32)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f106,plain,
( c5_0
| ~ c2_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f107,plain,
( c1_0
| ~ c1_2(a48,a49)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f108,plain,
( c1_0
| ~ c5_2(a48,a49)
| ~ ssSkC5 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f109,plain,
( c1_2(a44,a45)
| ~ c5_0
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f110,plain,
( c3_0
| ~ c3_2(a41,a42)
| ~ ssSkC3 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f111,plain,
( ndr1_1(a34)
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f112,plain,
( c5_0
| ~ c4_2(a31,a33)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f113,plain,
( c5_0
| ~ c5_2(a31,a33)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f114,plain,
( c5_0
| ~ c4_2(a31,a32)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f115,plain,
( ssSkC0
| ! [U] :
( c2_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f116,plain,
! [X0] :
( ssSkC0
| c2_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
( ~ c5_0
| ~ c4_2(a44,a45)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f118,plain,
( ~ c5_0
| ~ c2_2(a44,a45)
| ~ ssSkC4 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f119,plain,
( c1_2(a34,a35)
| ~ c1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f120,plain,
( ~ c1_0
| ~ c4_0
| ~ c2_1(a34) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f121,plain,
( ~ c1_0
| ~ c4_0
| ~ c1_1(a34) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f122,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f123,plain,
( ~ c1_0
| ~ c4_0
| ~ c5_2(a34,a35) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f124,plain,
( ~ c1_0
| ~ c4_0
| ~ c4_2(a34,a35) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f125,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| c4_2(X0,a37)
| ~ ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f126,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| c3_2(X0,a37)
| ~ ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f127,plain,
( ssSkC0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c5_2(U,a28) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f128,plain,
! [X0] :
( ssSkC0
| c2_1(X0)
| ~ ndr1_0
| ~ c5_2(X0,a28) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( ssSkC0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_2(U,a28) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f130,plain,
! [X0] :
( ssSkC0
| c2_1(X0)
| ~ ndr1_0
| ~ c3_2(X0,a28) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [X0] :
( c4_1(X0)
| ndr1_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f132,plain,
! [X0] :
( c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c2_2(X0,a37)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f133,plain,
! [X0] :
( c4_1(X0)
| c1_2(X0,a38)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f134,plain,
! [X0] :
( c4_1(X0)
| c3_2(X0,a38)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f135,plain,
( ssSkC3
| ! [U] :
( c1_2(a39,U)
| ~ ndr1_1(a39)
| ~ c5_2(a39,U) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f136,plain,
! [X0] :
( ssSkC3
| c1_2(a39,X0)
| ~ ndr1_1(a39)
| ~ c5_2(a39,X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [X0] :
( c4_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ c5_1(X0)
| ~ c5_2(X0,a38) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f138,plain,
( ssSkC2
| ! [U] :
( c5_1(U)
| c3_2(U,a36)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f139,plain,
! [X0,X1] :
( ssSkC2
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
( c1_0
| ! [U,V] :
( c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c4_1(U)
| ~ ndr1_1(U)
| ~ c5_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f141,plain,
! [X0,X1] :
( c1_0
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
( ssSkC2
| ! [U] :
( c5_1(U)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a36)
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f143,plain,
! [X0,X1] :
( ssSkC2
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ c5_2(X0,a36)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
( ssSkC2
| ! [U] :
( c5_1(U)
| ! [V] :
( c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a36)
| ~ ndr1_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f145,plain,
! [X0,X1] :
( ssSkC2
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ c1_2(X0,a36)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f146,plain,
( c5_0
| c4_0
| ! [U] :
( c4_2(U,a27)
| ! [V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f147,plain,
! [X0,X1] :
( c5_0
| c4_0
| c4_2(X0,a27)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
( c5_0
| c4_0
| ! [U,V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a27)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f149,plain,
! [X0,X1] :
( c5_0
| c4_0
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ c1_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( c5_0
| c4_0
| ! [U,V] :
( c5_2(U,V)
| c3_2(U,V)
| ~ ndr1_0
| ~ c5_2(U,a27)
| ~ ndr1_1(U)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f151,plain,
! [X0,X1] :
( c5_0
| c4_0
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_0
| ~ c5_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
! [U] :
( c3_1(U)
| c2_2(U,a29)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f153,plain,
! [X0,X1] :
( c3_1(X0)
| c2_2(X0,a29)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
! [U] :
( c3_1(U)
| ~ ndr1_0
| ~ c1_2(U,a29)
| ~ ndr1_1(U)
| ! [V] :
( ~ c1_2(U,V)
| ~ c5_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f155,plain,
! [X0,X1] :
( c3_1(X0)
| ~ ndr1_0
| ~ c1_2(X0,a29)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ1_spl
<=> ssSkC5 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ1_spl
| ssSkC5 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f156,f159]) ).
fof(f163,definition,
( sQ2_spl
<=> ssSkC4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ2_spl
| ~ ssSkC4 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f156,f163]) ).
fof(f167,definition,
( sQ3_spl
<=> ssSkC3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ3_spl
| ~ ssSkC3 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f156,f167]) ).
fof(f171,definition,
( sQ4_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ4_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f75,f156,f171]) ).
fof(f175,definition,
( sQ5_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ5_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f76,f159,f156,f175]) ).
fof(f179,definition,
( sQ6_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( sQ6_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f77,f179,f156]) ).
fof(f183,definition,
( sQ7_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ7_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f78,f167,f156,f183]) ).
fof(f187,definition,
( sQ8_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ8_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( sQ8_spl
| sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f79,f171,f156,f187]) ).
fof(f191,definition,
( sQ9_spl
<=> ndr1_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ9_spl
| ndr1_1(a39) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f80,f191,f167]) ).
fof(f195,definition,
( sQ10_spl
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ10_spl
| c2_1(a39) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f81,f195,f167]) ).
fof(f199,definition,
( sQ11_spl
<=> c3_1(a30) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f199,f171]) ).
fof(f203,definition,
( sQ12_spl
<=> ndr1_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ12_spl
| ndr1_1(a48) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( sQ5_spl
| sQ12_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f83,f159,f203,f175]) ).
fof(f207,definition,
( sQ13_spl
<=> c4_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ13_spl
| c4_1(a48) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ5_spl
| sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f84,f159,f207,f175]) ).
fof(f211,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f85,f163,f187,f156]) ).
fof(f212,definition,
( sQ14_spl
<=> ndr1_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ14_spl
| ndr1_1(a41) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ7_spl
| sQ14_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f86,f167,f212,f183]) ).
fof(f216,definition,
( sQ15_spl
<=> ndr1_1(a31) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ8_spl
| sQ15_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f87,f171,f216,f187]) ).
fof(f220,definition,
( sQ16_spl
<=> c1_1(a31) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ8_spl
| sQ16_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f88,f171,f220,f187]) ).
fof(f224,definition,
( sQ17_spl
<=> c3_1(a47) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f89,f224,f159]) ).
fof(f228,definition,
( sQ18_spl
<=> c5_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( sQ18_spl
| ~ c5_1(a43) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f90,f228,f163]) ).
fof(f232,definition,
( sQ19_spl
<=> c2_1(a43) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ19_spl
| ~ c2_1(a43) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ2_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f91,f232,f163]) ).
fof(f236,definition,
( sQ20_spl
<=> c1_2(a39,a40) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ20_spl
| c1_2(a39,a40) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ3_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f92,f236,f167]) ).
fof(f240,definition,
( sQ21_spl
<=> c2_2(a39,a40) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ21_spl
| c2_2(a39,a40) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ3_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f93,f240,f167]) ).
fof(f244,definition,
( sQ22_spl
<=> c1_1(a30) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ4_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f94,f244,f171]) ).
fof(f248,definition,
( sQ23_spl
<=> c3_1(a46) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ6_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f95,f248,f179]) ).
fof(f252,definition,
( sQ24_spl
<=> ndr1_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ24_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f96,f163,f187,f252]) ).
fof(f256,definition,
( sQ25_spl
<=> c3_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ25_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f97,f163,f187,f256]) ).
fof(f260,definition,
( sQ26_spl
<=> c4_1(a44) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ26_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f98,f163,f187,f260]) ).
fof(f264,definition,
( sQ27_spl
<=> c5_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ27_spl
| c5_2(a41,a42) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( sQ7_spl
| sQ27_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f99,f167,f264,f183]) ).
fof(f268,definition,
( sQ28_spl
<=> c4_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ28_spl
| c4_2(a41,a42) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ7_spl
| sQ28_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f100,f167,f268,f183]) ).
fof(f272,definition,
( sQ29_spl
<=> c2_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ29_spl
| ~ c2_1(a41) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ7_spl
| ~ sQ29_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f101,f167,f272,f183]) ).
fof(f276,definition,
( sQ30_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ30_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f102,f276,f175,f156]) ).
fof(f280,definition,
( sQ31_spl
<=> c2_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ8_spl
| sQ31_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f103,f171,f280,f187]) ).
fof(f284,definition,
( sQ32_spl
<=> c3_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ8_spl
| sQ32_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f104,f171,f284,f187]) ).
fof(f288,definition,
( sQ33_spl
<=> c5_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ8_spl
| sQ33_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f105,f171,f288,f187]) ).
fof(f292,plain,
( sQ8_spl
| ~ sQ6_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f106,f276,f179,f187]) ).
fof(f293,definition,
( sQ34_spl
<=> c1_2(a48,a49) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ34_spl
| ~ c1_2(a48,a49) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( sQ5_spl
| ~ sQ34_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f107,f159,f293,f175]) ).
fof(f297,definition,
( sQ35_spl
<=> c5_2(a48,a49) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ35_spl
| ~ c5_2(a48,a49) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ5_spl
| ~ sQ35_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f108,f159,f297,f175]) ).
fof(f301,definition,
( sQ36_spl
<=> c1_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( sQ36_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f109,f163,f187,f301]) ).
fof(f305,definition,
( sQ37_spl
<=> c3_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ37_spl
| ~ c3_2(a41,a42) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( sQ7_spl
| ~ sQ37_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f110,f167,f305,f183]) ).
fof(f309,definition,
( sQ38_spl
<=> ndr1_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ38_spl
| ndr1_1(a34) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ38_spl
| ~ sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f111,f276,f175,f309]) ).
fof(f313,definition,
( sQ39_spl
<=> c4_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ39_spl
| ~ c4_2(a31,a33) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ8_spl
| ~ sQ39_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f112,f171,f313,f187]) ).
fof(f317,definition,
( sQ40_spl
<=> c5_2(a31,a33) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ40_spl
| ~ c5_2(a31,a33) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ8_spl
| ~ sQ40_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f113,f171,f317,f187]) ).
fof(f321,definition,
( sQ41_spl
<=> c4_2(a31,a32) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ41_spl
| ~ c4_2(a31,a32) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ8_spl
| ~ sQ41_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f114,f171,f321,f187]) ).
fof(f325,definition,
! [X0] :
( sQ42_spl
<=> ( c2_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f326,plain,
! [X0] :
( ~ sQ42_spl
| c2_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ43_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ43_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ43_spl
| ~ ssSkC0 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f116,f156,f325,f328]) ).
fof(f332,definition,
( sQ44_spl
<=> c4_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ44_spl
| ~ c4_2(a44,a45) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f117,f163,f332,f187]) ).
fof(f336,definition,
( sQ45_spl
<=> c2_2(a44,a45) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ45_spl
| ~ c2_2(a44,a45) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ8_spl
| ~ sQ45_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f118,f163,f336,f187]) ).
fof(f340,definition,
( sQ46_spl
<=> c1_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ46_spl
| c1_2(a34,a35) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ46_spl
| ~ sQ5_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f119,f276,f175,f340]) ).
fof(f344,definition,
( sQ47_spl
<=> c2_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( sQ47_spl
| ~ c2_1(a34) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f120,f344,f276,f175]) ).
fof(f348,definition,
( sQ48_spl
<=> c1_1(a34) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ48_spl
| ~ c1_1(a34) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f121,f348,f276,f175]) ).
fof(f352,definition,
( sQ49_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ49_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
! [X0] :
( sQ50_spl
<=> ( c4_1(X0)
| c5_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0] :
( ~ sQ50_spl
| c4_1(X0)
| c5_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ50_spl
| ~ sQ0_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f122,f352,f156,f355]) ).
fof(f359,definition,
( sQ51_spl
<=> c5_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ51_spl
| ~ c5_2(a34,a35) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f123,f359,f276,f175]) ).
fof(f363,definition,
( sQ52_spl
<=> c4_2(a34,a35) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( sQ52_spl
| ~ c4_2(a34,a35) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f124,f363,f276,f175]) ).
fof(f367,definition,
! [X0] :
( sQ53_spl
<=> ( c4_1(X0)
| c5_1(X0)
| c4_2(X0,a37) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f368,plain,
! [X0] :
( ~ sQ53_spl
| c4_1(X0)
| c5_1(X0)
| c4_2(X0,a37) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ53_spl
| ~ sQ0_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f125,f352,f156,f367]) ).
fof(f371,definition,
! [X0] :
( sQ54_spl
<=> ( c4_1(X0)
| c5_1(X0)
| c3_2(X0,a37) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0] :
( ~ sQ54_spl
| c4_1(X0)
| c5_1(X0)
| c3_2(X0,a37) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ54_spl
| ~ sQ0_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f126,f352,f156,f371]) ).
fof(f375,definition,
! [X0] :
( sQ55_spl
<=> ( c2_1(X0)
| ~ c5_2(X0,a28) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0] :
( ~ sQ55_spl
| c2_1(X0)
| ~ c5_2(X0,a28) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ43_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f128,f375,f156,f328]) ).
fof(f379,definition,
! [X0] :
( sQ56_spl
<=> ( c2_1(X0)
| ~ c3_2(X0,a28) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f380,plain,
! [X0] :
( ~ sQ56_spl
| c2_1(X0)
| ~ c3_2(X0,a28) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ43_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f130,f379,f156,f328]) ).
fof(f383,definition,
! [X0] :
( sQ57_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0] :
( ~ sQ57_spl
| c4_1(X0)
| ndr1_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f131,f383,f156,f183]) ).
fof(f387,definition,
! [X0] :
( sQ58_spl
<=> ( c4_1(X0)
| c5_1(X0)
| ~ c2_2(X0,a37) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f388,plain,
! [X0] :
( ~ sQ58_spl
| c4_1(X0)
| c5_1(X0)
| ~ c2_2(X0,a37) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( ~ sQ0_spl
| sQ58_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f132,f352,f387,f156]) ).
fof(f391,definition,
! [X0] :
( sQ59_spl
<=> ( c4_1(X0)
| c1_2(X0,a38)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ59_spl
| c4_1(X0)
| c1_2(X0,a38)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f133,f391,f156,f183]) ).
fof(f395,definition,
! [X0] :
( sQ60_spl
<=> ( c4_1(X0)
| c3_2(X0,a38)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f396,plain,
! [X0] :
( ~ sQ60_spl
| c4_1(X0)
| c3_2(X0,a38)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f134,f395,f156,f183]) ).
fof(f399,definition,
! [X0] :
( sQ61_spl
<=> ( c1_2(a39,X0)
| ~ c5_2(a39,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f400,plain,
! [X0] :
( ~ sQ61_spl
| c1_2(a39,X0)
| ~ c5_2(a39,X0) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ3_spl
| ~ sQ9_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f136,f399,f191,f167]) ).
fof(f403,definition,
! [X0] :
( sQ62_spl
<=> ( c4_1(X0)
| ~ c5_1(X0)
| ~ c5_2(X0,a38) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f404,plain,
! [X0] :
( ~ sQ62_spl
| c4_1(X0)
| ~ c5_1(X0)
| ~ c5_2(X0,a38) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f137,f403,f156,f183]) ).
fof(f407,definition,
! [X0,X1] :
( sQ63_spl
<=> ( c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f408,plain,
! [X0,X1] :
( ~ sQ63_spl
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( sQ49_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f139,f407,f156,f352]) ).
fof(f411,definition,
! [X0,X1] :
( sQ64_spl
<=> ( c4_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f412,plain,
! [X0,X1] :
( ~ sQ64_spl
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ c4_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ5_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f141,f411,f156,f175]) ).
fof(f415,definition,
! [X0,X1] :
( sQ65_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_2(X0,a36)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f416,plain,
! [X0,X1] :
( ~ sQ65_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_2(X0,a36)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ49_spl
| ~ sQ0_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f143,f415,f156,f352]) ).
fof(f419,definition,
! [X0,X1] :
( sQ66_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,a36)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f420,plain,
! [X0,X1] :
( ~ sQ66_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,a36)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ49_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f145,f419,f156,f352]) ).
fof(f423,definition,
! [X0,X1] :
( sQ67_spl
<=> ( c4_2(X0,a27)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f424,plain,
! [X0,X1] :
( ~ sQ67_spl
| c4_2(X0,a27)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ8_spl
| sQ30_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f147,f423,f156,f276,f187]) ).
fof(f427,definition,
! [X0,X1] :
( sQ68_spl
<=> ( c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f428,plain,
! [X0,X1] :
( ~ sQ68_spl
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ8_spl
| sQ30_spl
| ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f149,f427,f156,f276,f187]) ).
fof(f431,definition,
! [X0,X1] :
( sQ69_spl
<=> ( c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f432,plain,
! [X0,X1] :
( ~ sQ69_spl
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c5_2(X0,a27)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ8_spl
| sQ30_spl
| ~ sQ0_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f151,f431,f156,f276,f187]) ).
fof(f435,definition,
! [X0,X1] :
( sQ70_spl
<=> ( c3_1(X0)
| c2_2(X0,a29)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f436,plain,
! [X0,X1] :
( ~ sQ70_spl
| c3_1(X0)
| c2_2(X0,a29)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( ~ sQ0_spl
| sQ70_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f153,f328,f435,f156]) ).
fof(f439,definition,
! [X0,X1] :
( sQ71_spl
<=> ( c3_1(X0)
| ~ c1_2(X0,a29)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f440,plain,
! [X0,X1] :
( ~ sQ71_spl
| c3_1(X0)
| ~ c1_2(X0,a29)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( ~ sQ0_spl
| sQ71_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f155,f328,f439,f156]) ).
fof(f443,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ57_spl
| c4_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f384]) ).
fof(f444,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ63_spl
| c5_1(a41)
| c3_2(a41,a36)
| c2_2(a41,X0)
| c3_2(a41,X0) ),
inference(resolution,[status(thm)],[f408,f213]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ57_spl
| ~ sQ63_spl
| c4_1(X0)
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,X1)
| c3_2(X0,X1) ),
inference(resolution,[status(thm)],[f408,f443]) ).
fof(f446,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ63_spl
| c2_1(X0)
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,X1)
| c3_2(X0,X1) ),
inference(resolution,[status(thm)],[f408,f326]) ).
fof(f447,definition,
! [X0] :
( sQ72_spl
<=> ( c2_2(a41,X0)
| c3_2(a41,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f448,plain,
! [X0] :
( ~ sQ72_spl
| c2_2(a41,X0)
| c3_2(a41,X0) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ73_spl
<=> c3_2(a41,a36) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ73_spl
| c3_2(a41,a36) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ74_spl
<=> c5_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ74_spl
| c5_1(a41) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( ~ sQ14_spl
| ~ sQ63_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f444,f447,f450,f453,f407,f212]) ).
fof(f457,plain,
( ~ sQ27_spl
| ~ sQ64_spl
| c4_2(a41,a42)
| c2_2(a41,a42)
| ~ c4_1(a41)
| ~ ndr1_1(a41) ),
inference(resolution,[status(thm)],[f412,f265]) ).
fof(f458,definition,
( sQ75_spl
<=> c4_1(a41) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ75_spl
| ~ c4_1(a41) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ76_spl
<=> c2_2(a41,a42) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ76_spl
| c2_2(a41,a42) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( ~ sQ27_spl
| ~ sQ64_spl
| sQ28_spl
| sQ76_spl
| ~ sQ75_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f457,f212,f458,f461,f268,f411,f264]) ).
fof(f465,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| ~ sQ63_spl
| c2_1(X0)
| c2_1(X0)
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,a28) ),
inference(resolution,[status(thm)],[f446,f380]) ).
fof(f466,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| ~ sQ63_spl
| c2_1(X0)
| c5_1(X0)
| c3_2(X0,a36)
| c2_2(X0,a28) ),
inference(duplicate_literals_removal,[status(thm)],[f465]) ).
fof(f467,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ12_spl
| c5_1(a48)
| c3_2(a48,a36)
| c2_2(a48,X0)
| c3_2(a48,X0) ),
inference(resolution,[status(thm)],[f204,f408]) ).
fof(f468,definition,
! [X0] :
( sQ77_spl
<=> ( c2_2(a48,X0)
| c3_2(a48,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f469,plain,
! [X0] :
( ~ sQ77_spl
| c2_2(a48,X0)
| c3_2(a48,X0) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ78_spl
<=> c3_2(a48,a36) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ78_spl
| c3_2(a48,a36) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ79_spl
<=> c5_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ79_spl
| c5_1(a48) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f467,f468,f471,f474,f203,f407]) ).
fof(f478,plain,
( ~ sQ56_spl
| ~ sQ77_spl
| c2_1(a48)
| c2_2(a48,a28) ),
inference(resolution,[status(thm)],[f469,f380]) ).
fof(f479,definition,
( sQ80_spl
<=> c2_2(a48,a28) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ80_spl
| c2_2(a48,a28) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ81_spl
<=> c2_1(a48) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ81_spl
| c2_1(a48) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( ~ sQ56_spl
| ~ sQ77_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f478,f479,f482,f468,f379]) ).
fof(f486,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ9_spl
| c5_1(a39)
| c3_2(a39,a36)
| c2_2(a39,X0)
| c3_2(a39,X0) ),
inference(resolution,[status(thm)],[f192,f408]) ).
fof(f487,definition,
! [X0] :
( sQ82_spl
<=> ( c2_2(a39,X0)
| c3_2(a39,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f488,plain,
! [X0] :
( ~ sQ82_spl
| c2_2(a39,X0)
| c3_2(a39,X0) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ83_spl
<=> c3_2(a39,a36) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ83_spl
| c3_2(a39,a36) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ84_spl
<=> c5_1(a39) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ84_spl
| c5_1(a39) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ63_spl
| ~ sQ9_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f486,f487,f490,f493,f191,f407]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ13_spl
| sQ14_spl
| ~ sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ28_spl
| ~ sQ30_spl
| ~ sQ34_spl
| ~ sQ35_spl
| sQ42_spl
| sQ43_spl
| ~ sQ49_spl
| sQ55_spl
| sQ61_spl
| sQ63_spl
| sQ65_spl
| sQ66_spl
| sQ70_spl
| sQ71_spl
| sQ74_spl
| ~ sQ75_spl
| sQ76_spl
| sQ78_spl
| sQ79_spl
| sQ80_spl
| sQ81_spl
| sQ82_spl
| sQ83_spl
| sQ84_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN516-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n001.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Mon Sep 21 11:10:29 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.54 % Drodi V4.1.1
% 0.10/0.56 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.56 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.045252 seconds
% 0.14/0.58 % CPU time: 0.116306 seconds
% 0.14/0.58 % Total memory used: 18.634 MB
% 0.14/0.58 % Net memory used: 18.559 MB
%------------------------------------------------------------------------------