%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN530-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:19:59 PM UTC 2026
% Result : Satisfiable 0.10s 0.55s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( c4_0
| ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( c2_0
| c1_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( c1_0
| c5_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c5_0
| ~ c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ssSkC2
| c4_1(a382) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC2
| c1_1(a382) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC2
| c5_1(a382) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U] :
( ssSkP2(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U] :
( ssSkP1(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U] :
( ssSkP0(U)
| ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ssSkC0
| ndr1_1(a357) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c4_0
| ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c4_0
| ndr1_1(a383)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c4_0
| c1_1(a383)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c3_1(a377)
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( c2_0
| c1_0
| ndr1_1(a371) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( c3_0
| ndr1_0
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( c1_0
| c5_0
| c3_1(a360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( c5_0
| c4_0
| ~ c3_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U] :
( ssSkP2(U)
| c2_2(U,a380) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U] :
( ssSkP1(U)
| c3_2(U,a374) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U] :
( ssSkP1(U)
| c5_2(U,a374) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ssSkC0
| c3_2(a357,a358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ssSkC0
| ~ c2_1(a357) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( ssSkC0
| ~ c5_1(a357) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( c4_0
| c4_1(a385)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c4_0
| c5_1(a385)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c4_0
| ~ c3_1(a383)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( ~ c2_0
| ~ c1_1(a377) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( c2_0
| c1_0
| c2_2(a371,a373) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( c2_0
| c1_0
| c4_2(a371,a372) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( c3_0
| ndr1_1(a363)
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ndr1_0
| ~ c5_0
| ~ c1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( c1_0
| c5_0
| ~ c5_1(a360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U] :
( ssSkP2(U)
| ~ c5_2(U,a380) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U] :
( ssSkP2(U)
| ~ c3_2(U,a380) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U] :
( ssSkP1(U)
| ~ c1_2(U,a374) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c2_2(U,a366) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U] :
( ssSkP0(U)
| ~ c1_2(U,a366) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ssSkC0
| ~ c5_2(a357,a358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ssSkC0
| ~ c1_2(a357,a358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( c4_0
| ~ c5_2(a383,a384)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( c4_0
| ~ c1_2(a383,a384)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( c2_0
| c1_0
| ~ c1_2(a371,a373) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( c2_0
| c1_0
| ~ c1_2(a371,a372) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( c2_0
| c1_0
| ~ c2_2(a371,a372) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c4_1(a363) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c4_2(a363,a364) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c2_2(a363,a364) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( c3_0
| ~ c1_0
| ~ c5_2(a363,a364) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ~ c5_0
| ~ c1_0
| ~ c1_1(a361) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U] :
( c4_0
| c4_1(U)
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [U] :
( c4_0
| c4_1(U)
| c5_1(U)
| c3_2(U,a370)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [U] :
( c4_0
| c4_1(U)
| c5_1(U)
| c1_2(U,a370)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U] :
( c2_0
| c5_0
| c4_1(U)
| c3_1(U)
| ndr1_1(U)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U] :
( c3_1(a386)
| c4_1(U)
| c5_1(U)
| ~ c1_0
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U] :
( ndr1_1(U)
| ~ c1_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U] :
( c4_0
| c4_1(U)
| c5_1(U)
| ~ ndr1_0
| ~ c5_2(U,a370) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U] :
( c2_0
| c5_0
| c4_1(U)
| c3_1(U)
| c1_2(U,a368)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U] :
( c5_0
| ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U] :
( c4_2(U,a381)
| ~ c1_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U] :
( c5_1(U)
| ndr1_1(U)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [U] :
( c3_0
| c4_1(a369)
| c4_1(U)
| c5_1(U)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U] :
( c2_0
| c5_0
| c4_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c4_2(U,a368) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [U] :
( c2_0
| c5_0
| c4_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c2_2(U,a368) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [U] :
( c5_0
| c3_2(U,a367)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [U] :
( c5_0
| c2_2(U,a367)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [U] :
( ~ c3_1(a359)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c5_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [U] :
( ~ c5_1(a359)
| ~ ndr1_0
| ~ c1_1(U)
| ~ c5_1(U)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [U] :
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c3_2(U,a381)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [U] :
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c2_2(U,a381)
| ~ ssSkP2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [U] :
( c5_1(U)
| c4_2(U,a375)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [U] :
( c5_1(U)
| c1_2(U,a375)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [U] :
( c3_0
| c4_1(U)
| c5_1(U)
| ~ c3_1(a369)
| ~ ndr1_0
| ~ c1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [U] :
( c5_0
| ~ ndr1_0
| ~ c2_1(U)
| ~ c4_2(U,a367)
| ~ ssSkC1
| ~ ssSkP0(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [U] :
( c3_0
| c1_2(a363,U)
| ~ c1_0
| ~ ndr1_1(a363)
| ~ c3_2(a363,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [U] :
( c3_2(a361,U)
| c2_2(a361,U)
| ~ c5_0
| ~ c1_0
| ~ ndr1_1(a361) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [U] :
( c2_0
| c1_0
| c4_2(a371,U)
| ~ ndr1_1(a371)
| ~ c1_2(a371,U)
| ~ c5_2(a371,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [U,V] :
( ndr1_1(a378)
| c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
! [U,V] :
( c3_1(a378)
| c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [U,V] :
( c2_2(a378,a379)
| c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [U,V] :
( c3_1(U)
| ~ c3_0
| ~ c5_1(a378)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [U,V] :
( ssSkC1
| c5_1(U)
| c3_2(U,a365)
| c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [U,V] :
( c1_1(U)
| c1_2(U,a376)
| c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [U,V] :
( c1_1(U)
| c3_2(U,a376)
| c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [U,V] :
( c3_1(U)
| ~ c3_0
| ~ c1_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
! [U,V] :
( c3_1(U)
| ~ c3_0
| ~ c4_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V)
| ~ c2_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [U,V] :
( ssSkC1
| c5_1(U)
| c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a365)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [U,V] :
( c1_1(U)
| c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(U,a376)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [U,V,W,X,Y] :
( ndr1_1(Y)
| c4_2(U,X)
| c3_2(U,W)
| c5_2(U,W)
| c1_2(U,V)
| ~ c2_0
| ~ c4_1(Y)
| ~ ndr1_0
| ~ c1_2(U,X)
| ~ c5_2(U,X)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [U,V,W,X,Y] :
( c4_2(U,X)
| c3_2(U,W)
| c5_2(U,W)
| c1_2(U,V)
| ~ c2_0
| ~ c4_1(Y)
| ~ c1_2(Y,a362)
| ~ ndr1_0
| ~ c1_2(U,X)
| ~ c5_2(U,X)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c5_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f97,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f98,plain,
( c4_0
| ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( c2_0
| c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
( c1_0
| c5_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f102,plain,
( c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f103,plain,
( c5_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f104,plain,
( ssSkC2
| c4_1(a382) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f105,plain,
( ssSkC2
| c1_1(a382) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f106,plain,
( ssSkC2
| c5_1(a382) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f107,plain,
! [X0] :
( ssSkP2(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f108,plain,
! [X0] :
( ssSkP1(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f109,plain,
! [X0] :
( ssSkP0(X0)
| ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f110,plain,
( ssSkC0
| ndr1_1(a357) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f111,plain,
( c4_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f112,plain,
( c4_0
| ndr1_1(a383)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f113,plain,
( c4_0
| c1_1(a383)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f114,plain,
( c3_1(a377)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f115,plain,
( c2_0
| c1_0
| ndr1_1(a371) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f116,plain,
( c3_0
| ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f117,plain,
( c1_0
| c5_0
| c3_1(a360) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f118,plain,
( c5_0
| c4_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f119,plain,
! [X0] :
( ssSkP2(X0)
| c2_2(X0,a380) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f120,plain,
! [X0] :
( ssSkP1(X0)
| c3_2(X0,a374) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f121,plain,
! [X0] :
( ssSkP1(X0)
| c5_2(X0,a374) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f122,plain,
( ssSkC0
| c3_2(a357,a358) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f123,plain,
( ssSkC0
| ~ c2_1(a357) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f124,plain,
( ssSkC0
| ~ c5_1(a357) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f125,plain,
( c4_0
| c4_1(a385)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f126,plain,
( c4_0
| c5_1(a385)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f127,plain,
( c4_0
| ~ c3_1(a383)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f128,plain,
( ~ c2_0
| ~ c1_1(a377) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f129,plain,
( c2_0
| c1_0
| c2_2(a371,a373) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f130,plain,
( c2_0
| c1_0
| c4_2(a371,a372) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f131,plain,
( c3_0
| ndr1_1(a363)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f132,plain,
( ndr1_0
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f133,plain,
( c1_0
| c5_0
| ~ c5_1(a360) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f134,plain,
! [X0] :
( ssSkP2(X0)
| ~ c5_2(X0,a380) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f135,plain,
! [X0] :
( ssSkP2(X0)
| ~ c3_2(X0,a380) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f136,plain,
! [X0] :
( ssSkP1(X0)
| ~ c1_2(X0,a374) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f137,plain,
! [X0] :
( ssSkP0(X0)
| ~ c2_2(X0,a366) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f138,plain,
! [X0] :
( ssSkP0(X0)
| ~ c1_2(X0,a366) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f139,plain,
( ssSkC0
| ~ c5_2(a357,a358) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f140,plain,
( ssSkC0
| ~ c1_2(a357,a358) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f141,plain,
( c4_0
| ~ c5_2(a383,a384)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f142,plain,
( c4_0
| ~ c1_2(a383,a384)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f143,plain,
( c2_0
| c1_0
| ~ c1_2(a371,a373) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f144,plain,
( c2_0
| c1_0
| ~ c1_2(a371,a372) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f145,plain,
( c2_0
| c1_0
| ~ c2_2(a371,a372) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f146,plain,
( c3_0
| ~ c1_0
| ~ c4_1(a363) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f147,plain,
( c3_0
| ~ c1_0
| ~ c4_2(a363,a364) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f148,plain,
( c3_0
| ~ c1_0
| ~ c2_2(a363,a364) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f149,plain,
( c3_0
| ~ c1_0
| ~ c5_2(a363,a364) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f150,plain,
( ~ c5_0
| ~ c1_0
| ~ c1_1(a361) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f151,plain,
( c4_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f152,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c5_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( c4_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| c3_2(U,a370)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f154,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c5_1(X0)
| c3_2(X0,a370)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( c4_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| c1_2(U,a370)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f156,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c5_1(X0)
| c1_2(X0,a370)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f157,plain,
( c2_0
| c5_0
| ! [U] :
( c4_1(U)
| c3_1(U)
| ndr1_1(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f158,plain,
! [X0] :
( c2_0
| c5_0
| c4_1(X0)
| c3_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
( c3_1(a386)
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ c1_0
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f160,plain,
! [X0] :
( c3_1(a386)
| c4_1(X0)
| c5_1(X0)
| ~ c1_0
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X0] :
( ndr1_1(X0)
| ~ c1_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f162,plain,
( c4_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ ndr1_0
| ~ c5_2(U,a370) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f163,plain,
! [X0] :
( c4_0
| c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c5_2(X0,a370) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( c2_0
| c5_0
| ! [U] :
( c4_1(U)
| c3_1(U)
| c1_2(U,a368)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f165,plain,
! [X0] :
( c2_0
| c5_0
| c4_1(X0)
| c3_1(X0)
| c1_2(X0,a368)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( c5_0
| ! [U] :
( ndr1_1(U)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f167,plain,
! [X0] :
( c5_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
! [X0] :
( c4_2(X0,a381)
| ~ c1_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f169,plain,
! [X0] :
( c5_1(X0)
| ndr1_1(X0)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f170,plain,
( c3_0
| c4_1(a369)
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ ndr1_0
| ~ c1_1(U) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f171,plain,
! [X0] :
( c3_0
| c4_1(a369)
| c4_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( c2_0
| c5_0
| ! [U] :
( c4_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c4_2(U,a368) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f173,plain,
! [X0] :
( c2_0
| c5_0
| c4_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c4_2(X0,a368) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
( c2_0
| c5_0
| ! [U] :
( c4_1(U)
| c3_1(U)
| ~ ndr1_0
| ~ c2_2(U,a368) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f175,plain,
! [X0] :
( c2_0
| c5_0
| c4_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_2(X0,a368) ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
( c5_0
| ! [U] :
( c3_2(U,a367)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f177,plain,
! [X0] :
( c5_0
| c3_2(X0,a367)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( c5_0
| ! [U] :
( c2_2(U,a367)
| ~ ndr1_0
| ~ c2_1(U)
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f179,plain,
! [X0] :
( c5_0
| c2_2(X0,a367)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( ~ c3_1(a359)
| ~ ndr1_0
| ! [U] :
( ~ c1_1(U)
| ~ c5_1(U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f181,plain,
! [X0] :
( ~ c3_1(a359)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c5_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( ~ c5_1(a359)
| ~ ndr1_0
| ! [U] :
( ~ c1_1(U)
| ~ c5_1(U)
| ~ ssSkC0 ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f183,plain,
! [X0] :
( ~ c5_1(a359)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c5_1(X0)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( ~ c1_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c3_2(U,a381)
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f185,plain,
! [X0] :
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_2(X0,a381)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( ~ c1_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c2_2(U,a381)
| ~ ssSkP2(U) ) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f187,plain,
! [X0] :
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c2_2(X0,a381)
| ~ ssSkP2(X0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
! [X0] :
( c5_1(X0)
| c4_2(X0,a375)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f189,plain,
! [X0] :
( c5_1(X0)
| c1_2(X0,a375)
| ~ c5_0
| ~ c1_0
| ~ ndr1_0
| ~ ssSkP1(X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f190,plain,
( c3_0
| ! [U] :
( c4_1(U)
| c5_1(U)
| ~ c3_1(a369)
| ~ ndr1_0
| ~ c1_1(U) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f191,plain,
! [X0] :
( c3_0
| c4_1(X0)
| c5_1(X0)
| ~ c3_1(a369)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( c5_0
| ~ ndr1_0
| ! [U] :
( ~ c2_1(U)
| ~ c4_2(U,a367)
| ~ ssSkC1
| ~ ssSkP0(U) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f193,plain,
! [X0] :
( c5_0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c4_2(X0,a367)
| ~ ssSkC1
| ~ ssSkP0(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( c3_0
| ! [U] :
( c1_2(a363,U)
| ~ c1_0
| ~ ndr1_1(a363)
| ~ c3_2(a363,U) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f195,plain,
! [X0] :
( c3_0
| c1_2(a363,X0)
| ~ c1_0
| ~ ndr1_1(a363)
| ~ c3_2(a363,X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0] :
( c3_2(a361,X0)
| c2_2(a361,X0)
| ~ c5_0
| ~ c1_0
| ~ ndr1_1(a361) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f197,plain,
( c2_0
| c1_0
| ! [U] :
( c4_2(a371,U)
| ~ ndr1_1(a371)
| ~ c1_2(a371,U)
| ~ c5_2(a371,U) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f198,plain,
! [X0] :
( c2_0
| c1_0
| c4_2(a371,X0)
| ~ ndr1_1(a371)
| ~ c1_2(a371,X0)
| ~ c5_2(a371,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( ndr1_1(a378)
| ! [U] :
( c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f200,plain,
! [X0,X1] :
( ndr1_1(a378)
| c3_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( c3_1(a378)
| ! [U] :
( c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f202,plain,
! [X0,X1] :
( c3_1(a378)
| c3_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( c2_2(a378,a379)
| ! [U] :
( c3_1(U)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f204,plain,
! [X0,X1] :
( c2_2(a378,a379)
| c3_1(X0)
| ~ c3_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
! [U] :
( c3_1(U)
| ~ c3_0
| ~ c5_1(a378)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f206,plain,
! [X0,X1] :
( c3_1(X0)
| ~ c3_0
| ~ c5_1(a378)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( ssSkC1
| ! [U] :
( c5_1(U)
| c3_2(U,a365)
| ! [V] :
( c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f208,plain,
! [X0,X1] :
( ssSkC1
| c5_1(X0)
| c3_2(X0,a365)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
! [U] :
( c1_1(U)
| c1_2(U,a376)
| ! [V] :
( c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f210,plain,
! [X0,X1] :
( c1_1(X0)
| c1_2(X0,a376)
| c1_2(X0,X1)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
! [U] :
( c1_1(U)
| c3_2(U,a376)
| ! [V] :
( c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f212,plain,
! [X0,X1] :
( c1_1(X0)
| c3_2(X0,a376)
| c1_2(X0,X1)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
! [U] :
( c3_1(U)
| ~ c3_0
| ~ c1_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f214,plain,
! [X0,X1] :
( c3_1(X0)
| ~ c3_0
| ~ c1_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [U] :
( c3_1(U)
| ~ c3_0
| ~ c4_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(U)
| ! [V] :
( ~ c3_2(U,V)
| ~ c2_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f216,plain,
! [X0,X1] :
( c3_1(X0)
| ~ c3_0
| ~ c4_2(a378,a379)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( ssSkC1
| ! [U] :
( c5_1(U)
| ! [V] :
( c1_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c1_2(U,a365)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f218,plain,
! [X0,X1] :
( ssSkC1
| c5_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c1_2(X0,a365)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
! [U] :
( c1_1(U)
| ! [V] :
( c1_2(U,V)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(U,a376)
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f220,plain,
! [X0,X1] :
( c1_1(X0)
| c1_2(X0,X1)
| ~ c4_0
| ~ c2_0
| ~ ndr1_0
| ~ c4_2(X0,a376)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
! [Y] :
( ndr1_1(Y)
| ! [U,X] :
( c4_2(U,X)
| ! [W] :
( c3_2(U,W)
| c5_2(U,W)
| ! [V] :
( c1_2(U,V)
| ~ c2_0
| ~ c4_1(Y)
| ~ ndr1_0
| ~ c1_2(U,X)
| ~ c5_2(U,X)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c5_2(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f222,plain,
! [X0,X1,X2,X3,X4] :
( ndr1_1(X4)
| c4_2(X0,X3)
| c3_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X1)
| ~ c2_0
| ~ c4_1(X4)
| ~ ndr1_0
| ~ c1_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
! [U,X] :
( c4_2(U,X)
| ! [W] :
( c3_2(U,W)
| c5_2(U,W)
| ! [V] :
( c1_2(U,V)
| ~ c2_0
| ! [Y] :
( ~ c4_1(Y)
| ~ c1_2(Y,a362)
| ~ ndr1_0
| ~ c1_2(U,X)
| ~ c5_2(U,X)
| ~ c4_2(U,W)
| ~ ndr1_1(U)
| ~ c4_2(U,V)
| ~ c5_2(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4] :
( c4_2(X0,X3)
| c3_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X1)
| ~ c2_0
| ~ c4_1(X4)
| ~ c1_2(X4,a362)
| ~ ndr1_0
| ~ c1_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ1_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ1_spl
| ssSkC2 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f96,f225,f228]) ).
fof(f232,definition,
( sQ2_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ2_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f97,f225,f232]) ).
fof(f236,definition,
( sQ3_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ3_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ3_spl
| sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f98,f228,f225,f236]) ).
fof(f240,definition,
( sQ4_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ4_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ4_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f99,f240,f225]) ).
fof(f244,definition,
( sQ5_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ5_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ4_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f100,f225,f244,f240]) ).
fof(f248,definition,
( sQ6_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ6_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ5_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f101,f225,f248,f244]) ).
fof(f252,plain,
( sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f102,f240,f236]) ).
fof(f253,plain,
( sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f103,f236,f248]) ).
fof(f254,definition,
( sQ7_spl
<=> c4_1(a382) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f104,f254,f228]) ).
fof(f258,definition,
( sQ8_spl
<=> c1_1(a382) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f105,f258,f228]) ).
fof(f262,definition,
( sQ9_spl
<=> c5_1(a382) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f106,f262,f228]) ).
fof(f266,definition,
( sQ10_spl
<=> ndr1_1(a357) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f110,f266,f232]) ).
fof(f270,plain,
( sQ3_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f111,f244,f225,f236]) ).
fof(f271,definition,
( sQ11_spl
<=> ndr1_1(a383) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( sQ3_spl
| sQ11_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f112,f228,f271,f236]) ).
fof(f275,definition,
( sQ12_spl
<=> c1_1(a383) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ3_spl
| sQ12_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f113,f228,f275,f236]) ).
fof(f279,definition,
( sQ13_spl
<=> c3_1(a377) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ13_spl
| c3_1(a377) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( sQ13_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f114,f240,f279]) ).
fof(f283,definition,
( sQ14_spl
<=> ndr1_1(a371) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ14_spl
| ndr1_1(a371) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ4_spl
| sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f115,f283,f244,f240]) ).
fof(f287,definition,
( sQ15_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ15_spl
| sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f116,f244,f225,f287]) ).
fof(f291,definition,
( sQ16_spl
<=> c3_1(a360) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ5_spl
| sQ6_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f117,f291,f248,f244]) ).
fof(f295,plain,
( sQ6_spl
| sQ3_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f118,f287,f236,f248]) ).
fof(f296,definition,
( sQ17_spl
<=> c3_2(a357,a358) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ2_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f122,f296,f232]) ).
fof(f300,definition,
( sQ18_spl
<=> c2_1(a357) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f123,f300,f232]) ).
fof(f304,definition,
( sQ19_spl
<=> c5_1(a357) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ2_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f124,f304,f232]) ).
fof(f308,definition,
( sQ20_spl
<=> c4_1(a385) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ3_spl
| sQ20_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f125,f244,f308,f236]) ).
fof(f312,definition,
( sQ21_spl
<=> c5_1(a385) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ3_spl
| sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f126,f244,f312,f236]) ).
fof(f316,definition,
( sQ22_spl
<=> c3_1(a383) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( sQ3_spl
| ~ sQ22_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f127,f228,f316,f236]) ).
fof(f320,definition,
( sQ23_spl
<=> c1_1(a377) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ23_spl
| ~ c1_1(a377) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( ~ sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f128,f320,f240]) ).
fof(f324,definition,
( sQ24_spl
<=> c2_2(a371,a373) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ24_spl
| c2_2(a371,a373) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ4_spl
| sQ5_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f129,f324,f244,f240]) ).
fof(f328,definition,
( sQ25_spl
<=> c4_2(a371,a372) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ25_spl
| c4_2(a371,a372) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ4_spl
| sQ5_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f130,f328,f244,f240]) ).
fof(f332,definition,
( sQ26_spl
<=> ndr1_1(a363) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ15_spl
| sQ26_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f131,f244,f332,f287]) ).
fof(f336,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f132,f244,f248,f225]) ).
fof(f337,definition,
( sQ27_spl
<=> c5_1(a360) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f133,f337,f248,f244]) ).
fof(f341,definition,
( sQ28_spl
<=> c5_2(a357,a358) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ2_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f139,f341,f232]) ).
fof(f345,definition,
( sQ29_spl
<=> c1_2(a357,a358) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ2_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f140,f345,f232]) ).
fof(f349,definition,
( sQ30_spl
<=> c5_2(a383,a384) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ3_spl
| ~ sQ30_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f141,f228,f349,f236]) ).
fof(f353,definition,
( sQ31_spl
<=> c1_2(a383,a384) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ3_spl
| ~ sQ31_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f142,f228,f353,f236]) ).
fof(f357,definition,
( sQ32_spl
<=> c1_2(a371,a373) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ32_spl
| ~ c1_2(a371,a373) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ4_spl
| sQ5_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f143,f357,f244,f240]) ).
fof(f361,definition,
( sQ33_spl
<=> c1_2(a371,a372) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( sQ33_spl
| ~ c1_2(a371,a372) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ4_spl
| sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f144,f361,f244,f240]) ).
fof(f365,definition,
( sQ34_spl
<=> c2_2(a371,a372) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ34_spl
| ~ c2_2(a371,a372) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ4_spl
| sQ5_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f145,f365,f244,f240]) ).
fof(f369,definition,
( sQ35_spl
<=> c4_1(a363) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f146,f369,f244,f287]) ).
fof(f373,definition,
( sQ36_spl
<=> c4_2(a363,a364) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f147,f373,f244,f287]) ).
fof(f377,definition,
( sQ37_spl
<=> c2_2(a363,a364) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f148,f377,f244,f287]) ).
fof(f381,definition,
( sQ38_spl
<=> c5_2(a363,a364) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f149,f381,f244,f287]) ).
fof(f385,definition,
( sQ39_spl
<=> c1_1(a361) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f150,f385,f244,f248]) ).
fof(f389,definition,
! [X0] :
( sQ40_spl
<=> ( c4_1(X0)
| c5_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ3_spl
| sQ40_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f152,f225,f389,f236]) ).
fof(f393,definition,
! [X0] :
( sQ41_spl
<=> ( c4_1(X0)
| c5_1(X0)
| c3_2(X0,a370) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ3_spl
| sQ41_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f154,f225,f393,f236]) ).
fof(f397,definition,
! [X0] :
( sQ42_spl
<=> ( c4_1(X0)
| c5_1(X0)
| c1_2(X0,a370) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ3_spl
| sQ42_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f156,f225,f397,f236]) ).
fof(f401,definition,
! [X0] :
( sQ43_spl
<=> ( c4_1(X0)
| c3_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ4_spl
| sQ6_spl
| sQ43_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f158,f225,f401,f248,f240]) ).
fof(f405,definition,
! [X0] :
( sQ44_spl
<=> ( c4_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f408,definition,
( sQ45_spl
<=> c3_1(a386) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ45_spl
| sQ44_spl
| ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f160,f225,f244,f405,f408]) ).
fof(f412,definition,
! [X0] :
( sQ46_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f161,f412,f225,f244]) ).
fof(f416,definition,
! [X0] :
( sQ47_spl
<=> ( c4_1(X0)
| c5_1(X0)
| ~ c5_2(X0,a370) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ3_spl
| ~ sQ0_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f163,f416,f225,f236]) ).
fof(f420,definition,
! [X0] :
( sQ48_spl
<=> ( c4_1(X0)
| c3_1(X0)
| c1_2(X0,a368) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ4_spl
| sQ6_spl
| sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f165,f225,f420,f248,f240]) ).
fof(f424,definition,
! [X0] :
( sQ49_spl
<=> ( ndr1_1(X0)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f427,definition,
( sQ50_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ50_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ6_spl
| ~ sQ0_spl
| ~ sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f167,f424,f427,f225,f248]) ).
fof(f431,definition,
! [X0] :
( sQ51_spl
<=> ( c4_2(X0,a381)
| ~ c2_1(X0)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f168,f431,f225,f244]) ).
fof(f435,definition,
! [X0] :
( sQ52_spl
<=> ( c5_1(X0)
| ndr1_1(X0)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ0_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f169,f435,f225,f244,f248]) ).
fof(f439,definition,
! [X0] :
( sQ53_spl
<=> ( c4_1(X0)
| c5_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f440,plain,
! [X0] :
( ~ sQ53_spl
| c4_1(X0)
| c5_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ54_spl
<=> c4_1(a369) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ15_spl
| sQ54_spl
| ~ sQ0_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f171,f439,f225,f442,f287]) ).
fof(f446,definition,
! [X0] :
( sQ55_spl
<=> ( c4_1(X0)
| c3_1(X0)
| ~ c4_2(X0,a368) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ4_spl
| sQ6_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f173,f446,f225,f248,f240]) ).
fof(f450,definition,
! [X0] :
( sQ56_spl
<=> ( c4_1(X0)
| c3_1(X0)
| ~ c2_2(X0,a368) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ4_spl
| sQ6_spl
| ~ sQ0_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f175,f450,f225,f248,f240]) ).
fof(f454,definition,
! [X0] :
( sQ57_spl
<=> ( c3_2(X0,a367)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ6_spl
| ~ sQ0_spl
| ~ sQ50_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f177,f454,f427,f225,f248]) ).
fof(f458,definition,
! [X0] :
( sQ58_spl
<=> ( c2_2(X0,a367)
| ~ c2_1(X0)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ6_spl
| ~ sQ0_spl
| ~ sQ50_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f179,f458,f427,f225,f248]) ).
fof(f462,definition,
! [X0] :
( sQ59_spl
<=> ( ~ c1_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f463,plain,
! [X0] :
( ~ sQ59_spl
| ~ c1_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ60_spl
<=> c3_1(a359) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ60_spl
| ~ sQ0_spl
| sQ59_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f181,f232,f462,f225,f465]) ).
fof(f469,definition,
( sQ61_spl
<=> c5_1(a359) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ61_spl
| ~ sQ0_spl
| sQ59_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f183,f232,f462,f225,f469]) ).
fof(f473,definition,
! [X0] :
( sQ62_spl
<=> ( ~ c2_1(X0)
| ~ c3_2(X0,a381)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f185,f473,f225,f244]) ).
fof(f477,definition,
! [X0] :
( sQ63_spl
<=> ( ~ c2_1(X0)
| ~ c2_2(X0,a381)
| ~ ssSkP2(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f187,f477,f225,f244]) ).
fof(f481,definition,
! [X0] :
( sQ64_spl
<=> ( c5_1(X0)
| c4_2(X0,a375)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f188,f481,f225,f244,f248]) ).
fof(f485,definition,
! [X0] :
( sQ65_spl
<=> ( c5_1(X0)
| c1_2(X0,a375)
| ~ ssSkP1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ0_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f189,f485,f225,f244,f248]) ).
fof(f489,definition,
( sQ66_spl
<=> c3_1(a369) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ15_spl
| ~ sQ66_spl
| ~ sQ0_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f191,f439,f225,f489,f287]) ).
fof(f493,definition,
! [X0] :
( sQ67_spl
<=> ( ~ c2_1(X0)
| ~ c4_2(X0,a367)
| ~ ssSkP0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ6_spl
| ~ sQ0_spl
| ~ sQ50_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f193,f493,f427,f225,f248]) ).
fof(f497,definition,
! [X0] :
( sQ68_spl
<=> ( c1_2(a363,X0)
| ~ c3_2(a363,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ26_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f195,f497,f332,f244,f287]) ).
fof(f501,definition,
( sQ69_spl
<=> ndr1_1(a361) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f504,definition,
! [X0] :
( sQ70_spl
<=> ( c3_2(a361,X0)
| c2_2(a361,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ70_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f196,f501,f244,f248,f504]) ).
fof(f508,definition,
! [X0] :
( sQ71_spl
<=> ( c4_2(a371,X0)
| ~ c1_2(a371,X0)
| ~ c5_2(a371,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f509,plain,
! [X0] :
( ~ sQ71_spl
| c4_2(a371,X0)
| ~ c1_2(a371,X0)
| ~ c5_2(a371,X0) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ4_spl
| sQ5_spl
| ~ sQ14_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f198,f508,f283,f244,f240]) ).
fof(f512,definition,
! [X0,X1] :
( sQ72_spl
<=> ( c3_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f513,plain,
! [X0,X1] :
( ~ sQ72_spl
| c3_1(X0)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ73_spl
<=> ndr1_1(a378) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ73_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f200,f512,f225,f287,f515]) ).
fof(f519,definition,
( sQ74_spl
<=> c3_1(a378) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( sQ74_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f202,f512,f225,f287,f519]) ).
fof(f523,definition,
( sQ75_spl
<=> c2_2(a378,a379) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( sQ75_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f204,f512,f225,f287,f523]) ).
fof(f527,definition,
( sQ76_spl
<=> c5_1(a378) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ15_spl
| ~ sQ76_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f206,f512,f225,f527,f287]) ).
fof(f531,definition,
! [X0,X1] :
( sQ77_spl
<=> ( c5_1(X0)
| c3_2(X0,a365)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( sQ50_spl
| ~ sQ0_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f208,f531,f225,f427]) ).
fof(f535,definition,
! [X0,X1] :
( sQ78_spl
<=> ( c1_1(X0)
| c1_2(X0,a376)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f536,plain,
! [X0,X1] :
( ~ sQ78_spl
| c1_1(X0)
| c1_2(X0,a376)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f210,f535,f225,f240,f236]) ).
fof(f539,definition,
! [X0,X1] :
( sQ79_spl
<=> ( c1_1(X0)
| c3_2(X0,a376)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f540,plain,
! [X0,X1] :
( ~ sQ79_spl
| c1_1(X0)
| c3_2(X0,a376)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f212,f539,f225,f240,f236]) ).
fof(f543,definition,
( sQ80_spl
<=> c1_2(a378,a379) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f214,f512,f225,f543,f287]) ).
fof(f547,definition,
( sQ81_spl
<=> c4_2(a378,a379) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ15_spl
| ~ sQ81_spl
| ~ sQ0_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f216,f512,f225,f547,f287]) ).
fof(f551,definition,
! [X0,X1] :
( sQ82_spl
<=> ( c5_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ c1_2(X0,a365)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( sQ50_spl
| ~ sQ0_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f218,f551,f225,f427]) ).
fof(f555,definition,
! [X0,X1] :
( sQ83_spl
<=> ( c1_1(X0)
| c1_2(X0,X1)
| ~ c4_2(X0,a376)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f556,plain,
! [X0,X1] :
( ~ sQ83_spl
| c1_1(X0)
| c1_2(X0,X1)
| ~ c4_2(X0,a376)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f220,f555,f225,f240,f236]) ).
fof(f559,definition,
! [X0,X1,X2,X3] :
( sQ84_spl
<=> ( c4_2(X0,X3)
| c3_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X1)
| ~ c1_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f560,plain,
! [X0,X1,X2,X3] :
( ~ sQ84_spl
| c4_2(X0,X3)
| c3_2(X0,X2)
| c5_2(X0,X2)
| c1_2(X0,X1)
| ~ c1_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c5_2(X0,X1) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
! [X4] :
( sQ85_spl
<=> ( ndr1_1(X4)
| ~ c4_1(X4) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ4_spl
| sQ85_spl
| ~ sQ0_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f222,f559,f225,f562,f240]) ).
fof(f566,definition,
! [X4] :
( sQ86_spl
<=> ( ~ c4_1(X4)
| ~ c1_2(X4,a362) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ4_spl
| sQ86_spl
| ~ sQ0_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f224,f559,f225,f566,f240]) ).
fof(f570,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| c4_1(X0)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f463]) ).
fof(f571,plain,
! [X0] :
( ~ sQ72_spl
| c3_1(X0)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a374)
| ssSkP1(X0) ),
inference(resolution,[status(thm)],[f120,f513]) ).
fof(f572,plain,
! [X0] :
( ~ sQ72_spl
| c3_1(X0)
| ~ c2_2(X0,a374)
| ssSkP1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f571,f108]) ).
fof(f573,plain,
! [X0,X1] :
( ~ sQ84_spl
| ~ sQ25_spl
| c4_2(a371,X1)
| c3_2(a371,a372)
| c5_2(a371,a372)
| c1_2(a371,X0)
| ~ c1_2(a371,X1)
| ~ c5_2(a371,X1)
| ~ ndr1_1(a371)
| ~ c4_2(a371,X0)
| ~ c5_2(a371,X0) ),
inference(resolution,[status(thm)],[f329,f560]) ).
fof(f574,definition,
! [X0] :
( sQ87_spl
<=> ( c1_2(a371,X0)
| ~ c4_2(a371,X0)
| ~ c5_2(a371,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f577,definition,
( sQ88_spl
<=> c5_2(a371,a372) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f580,definition,
( sQ89_spl
<=> c3_2(a371,a372) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ84_spl
| ~ sQ25_spl
| sQ89_spl
| sQ88_spl
| sQ71_spl
| ~ sQ14_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f573,f574,f283,f508,f577,f580,f328,f559]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| sQ13_spl
| ~ sQ23_spl
| sQ50_spl
| sQ53_spl
| sQ59_spl
| sQ71_spl
| sQ72_spl
| sQ78_spl
| sQ79_spl
| sQ83_spl
| sQ84_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN530-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n003.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Mon Sep 21 11:08:16 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.53 % Drodi V4.1.1
% 0.10/0.55 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.55 % SZS output start Saturation for theBenchmark
% See solution above
% 0.10/0.58 % Elapsed time: 0.061439 seconds
% 0.10/0.58 % CPU time: 0.139231 seconds
% 0.10/0.58 % Total memory used: 18.995 MB
% 0.10/0.58 % Net memory used: 18.882 MB
%------------------------------------------------------------------------------