%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN527-1 : 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 : n026.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 03:19:57 PM UTC 2026
% Result : Satisfiable 0.12s 0.38s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c3_0
| c5_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( c2_0
| c4_0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( c2_0
| ndr1_0
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c2_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c2_0
| c5_0
| c4_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC0
| c5_1(a251) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c3_0
| c5_0
| c4_1(a264) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ndr1_1(a262)
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( c4_1(a262)
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ndr1_1(a258)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c2_0
| c4_0
| ndr1_1(a256) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c2_0
| ndr1_1(a252)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U] :
( ssSkP0(U)
| c5_2(U,a254) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ndr1_0
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c3_0
| c5_0
| ~ c2_1(a264) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c3_0
| c5_0
| ~ c5_1(a264) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c2_2(a262,a263)
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ~ c1_0
| ~ c5_1(a262) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( c1_0
| c1_1(a260)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c3_2(a258,a259)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c5_2(a258,a259)
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ~ c2_0
| ~ c2_1(a258) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( c2_0
| c4_0
| c1_2(a256,a257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c2_0
| c4_0
| ~ c4_1(a256) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c2_0
| c4_2(a252,a253)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c2_0
| c1_2(a252,a253)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c2_0
| c5_2(a252,a253)
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c1_2(U,a272) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c2_2(U,a272) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c2_2(U,a254) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c1_1(a274)
| ~ c5_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( c4_1(a274)
| ~ c5_0
| ~ c1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ndr1_1(a267)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( c5_1(a267)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ndr1_1(a265)
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( ~ c1_0
| ~ c5_2(a262,a263) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ c1_0
| ~ c3_2(a262,a263) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U] :
( c2_0
| c1_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( c1_0
| ~ c2_0
| ~ c2_1(a260) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( c2_0
| c4_0
| ~ c4_2(a256,a257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( c2_0
| c4_0
| ~ c3_2(a256,a257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ c2_0
| ~ c5_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ c4_0
| ~ c1_0
| ~ c2_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ c5_0
| ~ c1_0
| ~ c5_1(a274) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c1_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( c3_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c1_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c5_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U] :
( c2_0
| c1_1(U)
| c4_2(U,a261)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U] :
( c2_0
| c1_1(U)
| c1_2(U,a261)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U] :
( c2_0
| c1_1(U)
| c3_2(U,a261)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [U] :
( c3_0
| c2_1(U)
| ~ ndr1_0
| ~ c4_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ~ c1_0
| ~ c5_0
| ~ c4_2(a267,a268) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( c1_0
| c4_1(U)
| c3_1(U)
| ~ c3_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( ssSkC1
| c4_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( c2_0
| c3_0
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( ssSkC0
| c4_2(a251,U)
| c2_2(a251,U)
| ~ ndr1_1(a251) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U] :
( c3_2(a258,U)
| c1_2(a258,U)
| ~ c2_0
| ~ ndr1_1(a258) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U] :
( ssSkC1
| c4_1(U)
| c5_2(U,a269)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U] :
( c4_0
| ndr1_1(a275)
| c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U] :
( c2_0
| c3_0
| c4_2(U,a255)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [U] :
( ssSkC1
| c4_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_2(U,a269) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U] :
( c4_0
| c1_2(a275,a276)
| c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U] :
( c4_0
| c4_2(a275,a276)
| c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U] :
( ndr1_1(a270)
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U] :
( c4_1(a270)
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [U] :
( c2_0
| c3_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c1_2(U,a255)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U] :
( c2_0
| c3_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c5_2(U,a255)
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( c4_0
| c3_1(U)
| c4_1(U)
| ~ c5_2(a275,a276)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( c3_2(a270,a271)
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( c5_2(a270,a271)
| c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c2_1(U)
| ~ c5_1(a270)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( c2_0
| c4_0
| c3_2(a256,U)
| c4_2(a256,U)
| c1_2(a256,U)
| ~ ndr1_1(a256) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( c2_1(U)
| ~ c2_2(a270,a271)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c3_2(a265,U)
| c4_2(a265,U)
| ~ c4_0
| ~ c3_0
| ~ ndr1_1(a265)
| ~ c2_2(a265,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U,V] :
( c4_0
| c2_2(a275,V)
| c1_2(a275,V)
| c3_1(U)
| c4_1(U)
| ~ ndr1_1(a275)
| ~ ndr1_0
| ~ c2_1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U,V] :
( c2_2(U,a273)
| c1_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U,V] :
( c1_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ c5_2(U,a273)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U,V] :
( c4_0
| c1_0
| ~ ndr1_0
| ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c5_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f86,plain,
( c3_0
| c5_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f87,plain,
( ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( c2_0
| c4_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
( c2_0
| ndr1_0
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f91,plain,
( c2_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f92,plain,
( c2_0
| c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f93,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f94,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f95,plain,
( ssSkC0
| c5_1(a251) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f96,plain,
( c3_0
| c5_0
| c4_1(a264) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f97,plain,
( ndr1_1(a262)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f98,plain,
( c4_1(a262)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f99,plain,
( ndr1_1(a258)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f100,plain,
( c2_0
| c4_0
| ndr1_1(a256) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f101,plain,
( c2_0
| ndr1_1(a252)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f102,plain,
! [X0] :
( ssSkP0(X0)
| c5_2(X0,a254) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f103,plain,
( ndr1_0
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f104,plain,
( c3_0
| c5_0
| ~ c2_1(a264) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f105,plain,
( c3_0
| c5_0
| ~ c5_1(a264) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f106,plain,
( c2_2(a262,a263)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f107,plain,
( ~ c1_0
| ~ c5_1(a262) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f108,plain,
( c1_0
| c1_1(a260)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f109,plain,
( c3_2(a258,a259)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f110,plain,
( c5_2(a258,a259)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f111,plain,
( ~ c2_0
| ~ c2_1(a258) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f112,plain,
( c2_0
| c4_0
| c1_2(a256,a257) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f113,plain,
( c2_0
| c4_0
| ~ c4_1(a256) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f114,plain,
( c2_0
| c4_2(a252,a253)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f115,plain,
( c2_0
| c1_2(a252,a253)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f116,plain,
( c2_0
| c5_2(a252,a253)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f117,plain,
! [X0] :
( ssSkP1(X0)
| ~ c1_2(X0,a272) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f118,plain,
! [X0] :
( ssSkP1(X0)
| ~ c2_2(X0,a272) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f119,plain,
! [X0] :
( ssSkP0(X0)
| ~ c2_2(X0,a254) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f120,plain,
( c1_1(a274)
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f121,plain,
( c4_1(a274)
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f122,plain,
( ndr1_1(a267)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f123,plain,
( c5_1(a267)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f124,plain,
( ndr1_1(a265)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f125,plain,
( ~ c1_0
| ~ c5_2(a262,a263) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f126,plain,
( ~ c1_0
| ~ c3_2(a262,a263) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f127,plain,
( c2_0
| ! [U] :
( c1_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f128,plain,
! [X0] :
( c2_0
| c1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( c1_0
| ~ c2_0
| ~ c2_1(a260) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f130,plain,
( c2_0
| c4_0
| ~ c4_2(a256,a257) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f131,plain,
( c2_0
| c4_0
| ~ c3_2(a256,a257) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f132,plain,
( ~ c2_0
| ~ c5_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f133,plain,
( ~ c4_0
| ~ c1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f134,plain,
( ~ c5_0
| ~ c1_0
| ~ c5_1(a274) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f135,plain,
( c1_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f136,plain,
( c3_2(a267,a268)
| ~ c1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f137,plain,
( c1_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f138,plain,
( c5_2(a265,a266)
| ~ c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f139,plain,
( c2_0
| ! [U] :
( c1_1(U)
| c4_2(U,a261)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f140,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c4_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
( c2_0
| ! [U] :
( c1_1(U)
| c1_2(U,a261)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f142,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c1_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( c2_0
| ! [U] :
( c1_1(U)
| c3_2(U,a261)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f144,plain,
! [X0] :
( c2_0
| c1_1(X0)
| c3_2(X0,a261)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
( c3_0
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c4_1(U) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f146,plain,
! [X0] :
( c3_0
| c2_1(X0)
| ~ ndr1_0
| ~ c4_1(X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( ~ c1_0
| ~ c5_0
| ~ c4_2(a267,a268) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f148,plain,
( c1_0
| ! [U] :
( c4_1(U)
| c3_1(U)
| ~ c3_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f149,plain,
! [X0] :
( c1_0
| c4_1(X0)
| c3_1(X0)
| ~ c3_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
( ssSkC1
| ! [U] :
( c4_1(U)
| ndr1_1(U)
| ~ ndr1_0
| ~ c1_1(U) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f151,plain,
! [X0] :
( ssSkC1
| c4_1(X0)
| ndr1_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f152,plain,
( c2_0
| c3_0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f153,plain,
! [X0] :
( c2_0
| c3_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,plain,
( ssSkC0
| ! [U] :
( c4_2(a251,U)
| c2_2(a251,U)
| ~ ndr1_1(a251) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f155,plain,
! [X0] :
( ssSkC0
| c4_2(a251,X0)
| c2_2(a251,X0)
| ~ ndr1_1(a251) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [X0] :
( c3_2(a258,X0)
| c1_2(a258,X0)
| ~ c2_0
| ~ ndr1_1(a258) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f157,plain,
( ssSkC1
| ! [U] :
( c4_1(U)
| c5_2(U,a269)
| ~ ndr1_0
| ~ c1_1(U) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f158,plain,
! [X0] :
( ssSkC1
| c4_1(X0)
| c5_2(X0,a269)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( c4_0
| ndr1_1(a275)
| ! [U] :
( c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f160,plain,
! [X0] :
( c4_0
| ndr1_1(a275)
| c3_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( c2_0
| c3_0
| ! [U] :
( c4_2(U,a255)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f162,plain,
! [X0] :
( c2_0
| c3_0
| c4_2(X0,a255)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( ssSkC1
| ! [U] :
( c4_1(U)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c3_2(U,a269) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f164,plain,
! [X0] :
( ssSkC1
| c4_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_2(X0,a269) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( c4_0
| c1_2(a275,a276)
| ! [U] :
( c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f166,plain,
! [X0] :
( c4_0
| c1_2(a275,a276)
| c3_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( c4_0
| c4_2(a275,a276)
| ! [U] :
( c3_1(U)
| c4_1(U)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f168,plain,
! [X0] :
( c4_0
| c4_2(a275,a276)
| c3_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( ndr1_1(a270)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f170,plain,
! [X0] :
( ndr1_1(a270)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( c4_1(a270)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f172,plain,
! [X0] :
( c4_1(a270)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( c2_0
| c3_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c1_2(U,a255)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f174,plain,
! [X0] :
( c2_0
| c3_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_2(X0,a255)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( c2_0
| c3_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c5_2(U,a255)
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f176,plain,
! [X0] :
( c2_0
| c3_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_2(X0,a255)
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( c4_0
| ! [U] :
( c3_1(U)
| c4_1(U)
| ~ c5_2(a275,a276)
| ~ ndr1_0
| ~ c2_1(U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f178,plain,
! [X0] :
( c4_0
| c3_1(X0)
| c4_1(X0)
| ~ c5_2(a275,a276)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( c3_2(a270,a271)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f180,plain,
! [X0] :
( c3_2(a270,a271)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( c5_2(a270,a271)
| ! [U] :
( c2_1(U)
| ~ ndr1_0
| ~ c3_1(U)
| ~ c5_1(U)
| ~ ssSkC1 ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f182,plain,
! [X0] :
( c5_2(a270,a271)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
! [X0] :
( c2_1(X0)
| ~ c5_1(a270)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f184,plain,
( c2_0
| c4_0
| ! [U] :
( c3_2(a256,U)
| c4_2(a256,U)
| c1_2(a256,U)
| ~ ndr1_1(a256) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f185,plain,
! [X0] :
( c2_0
| c4_0
| c3_2(a256,X0)
| c4_2(a256,X0)
| c1_2(a256,X0)
| ~ ndr1_1(a256) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0] :
( c2_1(X0)
| ~ c2_2(a270,a271)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f187,plain,
! [X0] :
( c3_2(a265,X0)
| c4_2(a265,X0)
| ~ c4_0
| ~ c3_0
| ~ ndr1_1(a265)
| ~ c2_2(a265,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f188,plain,
( c4_0
| ! [V] :
( c2_2(a275,V)
| c1_2(a275,V)
| ! [U] :
( c3_1(U)
| c4_1(U)
| ~ ndr1_1(a275)
| ~ ndr1_0
| ~ c2_1(U) ) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f189,plain,
! [X0,X1] :
( c4_0
| c2_2(a275,X1)
| c1_2(a275,X1)
| c3_1(X0)
| c4_1(X0)
| ~ ndr1_1(a275)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
! [U] :
( c2_2(U,a273)
| ! [V] :
( c1_2(U,V)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c3_2(U,V)
| ~ ssSkP1(U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f191,plain,
! [X0,X1] :
( c2_2(X0,a273)
| c1_2(X0,X1)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
! [X0,X1] :
( c1_2(X0,X1)
| ~ c3_0
| ~ ndr1_0
| ~ c5_2(X0,a273)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f193,plain,
( c4_0
| c1_0
| ~ ndr1_0
| ! [U] :
( ~ c4_1(U)
| ~ c1_1(U)
| ~ ndr1_1(U)
| ! [V] :
( ~ c2_2(U,V)
| ~ c5_2(U,V)
| ~ c4_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f194,plain,
! [X0,X1] :
( c4_0
| c1_0
| ~ ndr1_0
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ1_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ1_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ1_spl
| ~ ssSkC0 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f85,f195,f198]) ).
fof(f202,definition,
( sQ2_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ2_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ2_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ3_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ3_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ3_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ3_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f86,f195,f202,f205]) ).
fof(f209,definition,
( sQ4_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ4_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ4_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f87,f209,f195]) ).
fof(f213,definition,
( sQ5_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ5_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ5_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f88,f213,f195]) ).
fof(f217,definition,
( sQ6_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ6_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ6_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ5_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f89,f195,f217,f213]) ).
fof(f221,plain,
( sQ5_spl
| sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f90,f198,f195,f213]) ).
fof(f222,plain,
( sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f91,f209,f213]) ).
fof(f223,plain,
( sQ5_spl
| sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f92,f217,f202,f213]) ).
fof(f224,definition,
( sQ7_spl
<=> c5_1(a251) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ7_spl
| c5_1(a251) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f95,f224,f198]) ).
fof(f228,definition,
( sQ8_spl
<=> c4_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ8_spl
| c4_1(a264) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ3_spl
| sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f96,f228,f202,f205]) ).
fof(f232,definition,
( sQ9_spl
<=> ndr1_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ9_spl
| ndr1_1(a262) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f97,f209,f232]) ).
fof(f236,definition,
( sQ10_spl
<=> c4_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ10_spl
| c4_1(a262) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ10_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f98,f209,f236]) ).
fof(f240,definition,
( sQ11_spl
<=> ndr1_1(a258) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ11_spl
| ndr1_1(a258) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ11_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f99,f213,f240]) ).
fof(f244,definition,
( sQ12_spl
<=> ndr1_1(a256) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ5_spl
| sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f100,f244,f217,f213]) ).
fof(f248,definition,
( sQ13_spl
<=> ndr1_1(a252) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ5_spl
| sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f101,f198,f248,f213]) ).
fof(f252,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f103,f205,f217,f195]) ).
fof(f253,definition,
( sQ14_spl
<=> c2_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ14_spl
| ~ c2_1(a264) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f104,f253,f202,f205]) ).
fof(f257,definition,
( sQ15_spl
<=> c5_1(a264) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ15_spl
| ~ c5_1(a264) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f105,f257,f202,f205]) ).
fof(f261,definition,
( sQ16_spl
<=> c2_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ16_spl
| c2_2(a262,a263) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ16_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f106,f209,f261]) ).
fof(f265,definition,
( sQ17_spl
<=> c5_1(a262) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( sQ17_spl
| ~ c5_1(a262) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( ~ sQ4_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f107,f265,f209]) ).
fof(f269,definition,
( sQ18_spl
<=> c1_1(a260) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( sQ4_spl
| sQ18_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f108,f213,f269,f209]) ).
fof(f273,definition,
( sQ19_spl
<=> c3_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ19_spl
| c3_2(a258,a259) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( sQ19_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f109,f213,f273]) ).
fof(f277,definition,
( sQ20_spl
<=> c5_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ20_spl
| c5_2(a258,a259) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( sQ20_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f110,f213,f277]) ).
fof(f281,definition,
( sQ21_spl
<=> c2_1(a258) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ21_spl
| ~ c2_1(a258) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f111,f281,f213]) ).
fof(f285,definition,
( sQ22_spl
<=> c1_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( sQ5_spl
| sQ6_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f112,f285,f217,f213]) ).
fof(f289,definition,
( sQ23_spl
<=> c4_1(a256) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f113,f289,f217,f213]) ).
fof(f293,definition,
( sQ24_spl
<=> c4_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ5_spl
| sQ24_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f114,f198,f293,f213]) ).
fof(f297,definition,
( sQ25_spl
<=> c1_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( sQ5_spl
| sQ25_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f115,f198,f297,f213]) ).
fof(f301,definition,
( sQ26_spl
<=> c5_2(a252,a253) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( sQ5_spl
| sQ26_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f116,f198,f301,f213]) ).
fof(f305,definition,
( sQ27_spl
<=> c1_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ27_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f120,f209,f202,f305]) ).
fof(f309,definition,
( sQ28_spl
<=> c4_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ28_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f121,f209,f202,f309]) ).
fof(f313,definition,
( sQ29_spl
<=> ndr1_1(a267) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( sQ29_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f122,f202,f209,f313]) ).
fof(f317,definition,
( sQ30_spl
<=> c5_1(a267) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ30_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f123,f202,f209,f317]) ).
fof(f321,definition,
( sQ31_spl
<=> ndr1_1(a265) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ31_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f124,f205,f217,f321]) ).
fof(f325,definition,
( sQ32_spl
<=> c5_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ32_spl
| ~ c5_2(a262,a263) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ4_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f125,f325,f209]) ).
fof(f329,definition,
( sQ33_spl
<=> c3_2(a262,a263) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ33_spl
| ~ c3_2(a262,a263) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ4_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f126,f329,f209]) ).
fof(f333,definition,
! [X0] :
( sQ34_spl
<=> ( c1_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f334,plain,
! [X0] :
( ~ sQ34_spl
| c1_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( sQ5_spl
| sQ34_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f128,f195,f333,f213]) ).
fof(f337,definition,
( sQ35_spl
<=> c2_1(a260) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ4_spl
| ~ sQ5_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f129,f337,f213,f209]) ).
fof(f341,definition,
( sQ36_spl
<=> c4_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f130,f341,f217,f213]) ).
fof(f345,definition,
( sQ37_spl
<=> c3_2(a256,a257) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f131,f345,f217,f213]) ).
fof(f349,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f132,f205,f202,f213]) ).
fof(f350,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f133,f213,f209,f217]) ).
fof(f351,definition,
( sQ38_spl
<=> c5_1(a274) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f134,f351,f209,f202]) ).
fof(f355,definition,
( sQ39_spl
<=> c1_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ39_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f135,f202,f209,f355]) ).
fof(f359,definition,
( sQ40_spl
<=> c3_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( sQ40_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f136,f202,f209,f359]) ).
fof(f363,definition,
( sQ41_spl
<=> c1_2(a265,a266) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( sQ41_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f137,f205,f217,f363]) ).
fof(f367,definition,
( sQ42_spl
<=> c5_2(a265,a266) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ42_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f138,f205,f217,f367]) ).
fof(f371,definition,
! [X0] :
( sQ43_spl
<=> ( c1_1(X0)
| c4_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0] :
( ~ sQ43_spl
| c1_1(X0)
| c4_2(X0,a261) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ5_spl
| sQ43_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f140,f195,f371,f213]) ).
fof(f375,definition,
! [X0] :
( sQ44_spl
<=> ( c1_1(X0)
| c1_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0] :
( ~ sQ44_spl
| c1_1(X0)
| c1_2(X0,a261) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ5_spl
| sQ44_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f195,f375,f213]) ).
fof(f379,definition,
! [X0] :
( sQ45_spl
<=> ( c1_1(X0)
| c3_2(X0,a261) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f380,plain,
! [X0] :
( ~ sQ45_spl
| c1_1(X0)
| c3_2(X0,a261) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( sQ5_spl
| sQ45_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f144,f195,f379,f213]) ).
fof(f383,definition,
! [X0] :
( sQ46_spl
<=> ( c2_1(X0)
| ~ c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f384,plain,
! [X0] :
( ~ sQ46_spl
| c2_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ3_spl
| ~ sQ0_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f146,f383,f195,f205]) ).
fof(f387,definition,
( sQ47_spl
<=> c4_2(a267,a268) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f147,f387,f202,f209]) ).
fof(f391,definition,
! [X0] :
( sQ48_spl
<=> ( c4_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ48_spl
| c4_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ4_spl
| sQ48_spl
| ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f149,f195,f205,f391,f209]) ).
fof(f395,definition,
! [X0] :
( sQ49_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f398,definition,
( sQ50_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ50_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ50_spl
| ~ sQ0_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f151,f395,f195,f398]) ).
fof(f402,definition,
! [X0] :
( sQ51_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f403,plain,
! [X0] :
( ~ sQ51_spl
| ndr1_1(X0)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( sQ5_spl
| sQ3_spl
| ~ sQ0_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f153,f402,f195,f205,f213]) ).
fof(f406,definition,
( sQ52_spl
<=> ndr1_1(a251) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ52_spl
| ~ ndr1_1(a251) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
! [X0] :
( sQ53_spl
<=> ( c4_2(a251,X0)
| c2_2(a251,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ1_spl
| sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f155,f406,f409,f198]) ).
fof(f413,definition,
! [X0] :
( sQ54_spl
<=> ( c3_2(a258,X0)
| c1_2(a258,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f414,plain,
! [X0] :
( ~ sQ54_spl
| c3_2(a258,X0)
| c1_2(a258,X0) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( sQ54_spl
| ~ sQ5_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f156,f240,f213,f413]) ).
fof(f417,definition,
! [X0] :
( sQ55_spl
<=> ( c4_1(X0)
| c5_2(X0,a269)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( sQ50_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f158,f417,f195,f398]) ).
fof(f421,definition,
! [X0] :
( sQ56_spl
<=> ( c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f422,plain,
! [X0] :
( ~ sQ56_spl
| c3_1(X0)
| c4_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ57_spl
<=> ndr1_1(a275) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ6_spl
| sQ57_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f160,f421,f195,f424,f217]) ).
fof(f428,definition,
! [X0] :
( sQ58_spl
<=> ( c4_2(X0,a255)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f429,plain,
! [X0] :
( ~ sQ58_spl
| c4_2(X0,a255)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ5_spl
| sQ3_spl
| ~ sQ0_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f162,f428,f195,f205,f213]) ).
fof(f432,definition,
! [X0] :
( sQ59_spl
<=> ( c4_1(X0)
| ~ c1_1(X0)
| ~ c3_2(X0,a269) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ50_spl
| ~ sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f164,f432,f195,f398]) ).
fof(f436,definition,
( sQ60_spl
<=> c1_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( sQ6_spl
| sQ60_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f166,f421,f195,f436,f217]) ).
fof(f440,definition,
( sQ61_spl
<=> c4_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ6_spl
| sQ61_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f168,f421,f195,f440,f217]) ).
fof(f444,definition,
! [X0] :
( sQ62_spl
<=> ( c2_1(X0)
| ~ c3_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f445,plain,
! [X0] :
( ~ sQ62_spl
| c2_1(X0)
| ~ c3_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ63_spl
<=> ndr1_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ63_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f170,f398,f444,f195,f447]) ).
fof(f451,definition,
( sQ64_spl
<=> c4_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( sQ64_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f172,f398,f444,f195,f451]) ).
fof(f455,definition,
! [X0] :
( sQ65_spl
<=> ( ~ c2_1(X0)
| ~ c1_2(X0,a255)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f456,plain,
! [X0] :
( ~ sQ65_spl
| ~ c2_1(X0)
| ~ c1_2(X0,a255)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( sQ5_spl
| sQ3_spl
| ~ sQ0_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f174,f455,f195,f205,f213]) ).
fof(f459,definition,
! [X0] :
( sQ66_spl
<=> ( ~ c2_1(X0)
| ~ c5_2(X0,a255)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f460,plain,
! [X0] :
( ~ sQ66_spl
| ~ c2_1(X0)
| ~ c5_2(X0,a255)
| ~ ssSkP0(X0) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ5_spl
| sQ3_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f176,f459,f195,f205,f213]) ).
fof(f463,definition,
( sQ67_spl
<=> c5_2(a275,a276) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ6_spl
| ~ sQ67_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f178,f421,f195,f463,f217]) ).
fof(f467,definition,
( sQ68_spl
<=> c3_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( sQ68_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f180,f398,f444,f195,f467]) ).
fof(f471,definition,
( sQ69_spl
<=> c5_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ69_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f182,f398,f444,f195,f471]) ).
fof(f475,definition,
( sQ70_spl
<=> c5_1(a270) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ70_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f183,f398,f444,f195,f475]) ).
fof(f479,definition,
! [X0] :
( sQ71_spl
<=> ( c3_2(a256,X0)
| c4_2(a256,X0)
| c1_2(a256,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ5_spl
| sQ6_spl
| sQ71_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f185,f244,f479,f217,f213]) ).
fof(f483,definition,
( sQ72_spl
<=> c2_2(a270,a271) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ72_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f186,f398,f444,f195,f483]) ).
fof(f487,definition,
! [X0] :
( sQ73_spl
<=> ( c3_2(a265,X0)
| c4_2(a265,X0)
| ~ c2_2(a265,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ31_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f187,f487,f321,f205,f217]) ).
fof(f491,definition,
! [X1] :
( sQ74_spl
<=> ( c2_2(a275,X1)
| c1_2(a275,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( sQ6_spl
| sQ74_spl
| ~ sQ57_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f189,f421,f195,f424,f491,f217]) ).
fof(f495,definition,
! [X0,X1] :
( sQ75_spl
<=> ( c2_2(X0,a273)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f496,plain,
! [X0,X1] :
( ~ sQ75_spl
| c2_2(X0,a273)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f191,f495,f195,f205]) ).
fof(f499,definition,
! [X0,X1] :
( sQ76_spl
<=> ( c1_2(X0,X1)
| ~ c5_2(X0,a273)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f500,plain,
! [X0,X1] :
( ~ sQ76_spl
| c1_2(X0,X1)
| ~ c5_2(X0,a273)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ssSkP1(X0) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f192,f499,f195,f205]) ).
fof(f503,definition,
! [X0,X1] :
( sQ77_spl
<=> ( ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( sQ6_spl
| sQ4_spl
| ~ sQ0_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f194,f503,f195,f209,f217]) ).
fof(f507,plain,
( sQ52_spl
| ssSkP1(a251) ),
inference(resolution,[status(thm)],[f93,f408]) ).
fof(f508,plain,
! [X0] :
( ~ sQ51_spl
| ndr1_1(X0)
| ~ c2_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f403,f94]) ).
fof(f509,plain,
( sQ52_spl
| ssSkP0(a251) ),
inference(resolution,[status(thm)],[f94,f408]) ).
fof(f510,plain,
( sQ52_spl
| ~ sQ34_spl
| c1_1(a251) ),
inference(resolution,[status(thm)],[f334,f408]) ).
fof(f511,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| c2_1(X0)
| c3_1(X0) ),
inference(resolution,[status(thm)],[f392,f384]) ).
fof(f512,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ46_spl
| ~ sQ48_spl
| c2_1(X0)
| ~ c5_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f445,f511]) ).
fof(f513,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ46_spl
| ~ sQ48_spl
| c4_2(X0,a255)
| ~ ssSkP0(X0)
| c3_1(X0) ),
inference(resolution,[status(thm)],[f511,f429]) ).
fof(f514,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ75_spl
| c1_1(X0)
| c2_2(X0,a273)
| c1_2(X0,a261)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a261)
| ~ ssSkP1(X0) ),
inference(resolution,[status(thm)],[f496,f380]) ).
fof(f515,plain,
( ~ sQ58_spl
| ~ sQ46_spl
| ~ sQ48_spl
| sQ52_spl
| c4_2(a251,a255)
| c3_1(a251) ),
inference(resolution,[status(thm)],[f509,f513]) ).
fof(f516,definition,
( sQ78_spl
<=> c3_1(a251) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f519,definition,
( sQ79_spl
<=> c4_2(a251,a255) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ79_spl
| c4_2(a251,a255) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ sQ58_spl
| ~ sQ46_spl
| ~ sQ48_spl
| sQ52_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f515,f516,f519,f406,f391,f383,f428]) ).
fof(f523,plain,
( ~ sQ54_spl
| ssSkP1(a258)
| c3_2(a258,a272) ),
inference(resolution,[status(thm)],[f414,f117]) ).
fof(f524,definition,
( sQ80_spl
<=> c3_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ80_spl
| c3_2(a258,a272) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,definition,
( sQ81_spl
<=> ssSkP1(a258) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ81_spl
| ssSkP1(a258) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( ~ sQ54_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f523,f524,f527,f413]) ).
fof(f531,plain,
( ~ sQ46_spl
| ~ sQ10_spl
| c2_1(a262) ),
inference(resolution,[status(thm)],[f237,f384]) ).
fof(f532,plain,
( ~ sQ46_spl
| ~ sQ8_spl
| c2_1(a264) ),
inference(resolution,[status(thm)],[f229,f384]) ).
fof(f533,plain,
( ~ sQ76_spl
| ~ sQ19_spl
| c1_2(a258,a259)
| ~ c5_2(a258,a273)
| ~ ndr1_1(a258)
| ~ c2_2(a258,a259)
| ~ ssSkP1(a258) ),
inference(resolution,[status(thm)],[f274,f500]) ).
fof(f534,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| c2_2(a258,a273)
| c1_2(a258,a259)
| ~ ndr1_1(a258)
| ~ c2_2(a258,a259)
| ~ ssSkP1(a258) ),
inference(resolution,[status(thm)],[f274,f496]) ).
fof(f535,definition,
( sQ82_spl
<=> c2_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ82_spl
| ~ c2_2(a258,a259) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ83_spl
<=> c5_2(a258,a273) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ83_spl
| ~ c5_2(a258,a273) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ84_spl
<=> c1_2(a258,a259) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ84_spl
| c1_2(a258,a259) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( ~ sQ76_spl
| ~ sQ19_spl
| sQ84_spl
| ~ sQ83_spl
| ~ sQ11_spl
| ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f533,f527,f535,f240,f538,f541,f273,f499]) ).
fof(f545,definition,
( sQ85_spl
<=> c2_2(a258,a273) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ85_spl
| c2_2(a258,a273) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ75_spl
| ~ sQ19_spl
| sQ85_spl
| sQ84_spl
| ~ sQ11_spl
| ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f534,f527,f535,f240,f541,f545,f273,f495]) ).
fof(f554,plain,
( ~ sQ46_spl
| ~ sQ8_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f255]) ).
fof(f555,plain,
( ~ sQ46_spl
| ~ sQ8_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( ~ sQ76_spl
| ~ sQ80_spl
| c1_2(a258,a272)
| ~ c5_2(a258,a273)
| ~ ndr1_1(a258)
| ~ c2_2(a258,a272)
| ~ ssSkP1(a258) ),
inference(resolution,[status(thm)],[f525,f500]) ).
fof(f557,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| c2_2(a258,a273)
| c1_2(a258,a272)
| ~ ndr1_1(a258)
| ~ c2_2(a258,a272)
| ~ ssSkP1(a258) ),
inference(resolution,[status(thm)],[f525,f496]) ).
fof(f558,definition,
( sQ87_spl
<=> c2_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( sQ87_spl
| ~ c2_2(a258,a272) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ88_spl
<=> c1_2(a258,a272) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ88_spl
| c1_2(a258,a272) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ sQ76_spl
| ~ sQ80_spl
| sQ88_spl
| ~ sQ83_spl
| ~ sQ11_spl
| ~ sQ87_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f556,f527,f558,f240,f538,f561,f524,f499]) ).
fof(f565,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| sQ85_spl
| sQ88_spl
| ~ sQ11_spl
| ~ sQ87_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f557,f527,f558,f240,f561,f545,f524,f495]) ).
fof(f566,plain,
( ~ sQ88_spl
| ssSkP1(a258) ),
inference(resolution,[status(thm)],[f562,f117]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ16_spl
| ~ sQ17_spl
| sQ19_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ46_spl
| sQ50_spl
| sQ54_spl
| sQ56_spl
| sQ62_spl
| sQ75_spl
| sQ76_spl
| sQ81_spl
| ~ sQ83_spl
| sQ85_spl
| ~ sQ87_spl
| sQ88_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN527-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:08:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.061862 seconds
% 0.12/0.42 % CPU time: 0.156806 seconds
% 0.12/0.42 % Total memory used: 19.770 MB
% 0.12/0.42 % Net memory used: 19.673 MB
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