%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA140-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 : Fri Sep 25 01:24:00 PM UTC 2026
% Result : Unsatisfiable 117.97s 23.99s
% Output : CNFRefutation 131.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 4663 ( 41 unt; 0 def)
% Number of atoms : 20388 ( 559 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 35248 (19523 ~;15725 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8779 ( 0 sgn8779 !; 0 ?;8764 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
fof(f3,axiom,
! [X0] : ~ r(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ b(X2,X3)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i] : ~ r(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
~ b(z,z),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_64,plain,
~ r(z,z),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_66,plain,
( b(z,z)
| r(z,z)
| ( z = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_71,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_78,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_79,plain,
s(z) = s(z),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_80,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_81,plain,
( b(s(z),z)
| r(s(z),z)
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(X0) )
| ( s(X2) != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_90,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_91,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_97,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_98,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_107,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_108,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_57,c_60]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| r(X2,X1)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_73,c_60]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_73,c_71]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_130,c_60]) ).
tcf(c_138,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_139,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(X1))
| r(s(s(X0)),s(X1))
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_151,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_152,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_153,plain,
( b(z,s(z))
| r(z,s(z))
| ( z = s(z) ) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_154,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_166,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_136,c_56]) ).
tcf(c_167,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( b(s(X1),s(X0))
| r(s(X1),s(X0))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_136,c_57]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X1,X2)
| r(X1,X2)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_136,c_73]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_199,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0)))
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_200,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X1,X2)
| b(X0,X2)
| r(X1,X2)
| r(X0,X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_129,c_60]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| b(X0,X2)
| r(X2,X1)
| r(X0,X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_129,c_136]) ).
tcf(c_268,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_270,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_107]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),s(X3))
| ( X1 = X3 )
| ~ b(X0,X2)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_121]) ).
tcf(c_378,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_380,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_396,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_397,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_399,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_400,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_402,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_403,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] :
( b(z,X1)
| r(z,X1)
| b(s(X0),X1)
| r(s(X0),X1) ),
inference(resolution,[status(thm)],[c_264,c_56]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(s(X1),X2)
| b(s(X0),X2)
| r(s(X1),X2)
| r(s(X0),X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_264,c_57]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_662,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_663,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_667,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_668,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_643]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_393]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| r(s(X2),s(X1))
| ( X2 = X1 )
| ~ b(s(X2),z)
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_327,c_121]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| r(s(X2),s(X1))
| ( X1 = X2 )
| ~ b(s(X2),z)
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_327,c_168]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,z)
| ~ b(X2,X0)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X0)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_650]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_787,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),s(X3))
| r(s(X0),s(X3))
| ( X1 = X3 )
| ( X0 = X3 )
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(resolution,[status(thm)],[c_328,c_121]) ).
tcf(c_804,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X1),s(X2))
| ( X1 = X2 )
| ~ b(X0,z)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_328,c_166]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_814,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_815,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_634]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_780]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(X1)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(z,X3)
| r(z,X3)
| r(s(X1),X3)
| ~ b(X2,X3)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_470,c_62]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_811]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,z)
| ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_775]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_916,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,s(X1))
| b(s(X0),X2)
| r(X2,s(X1))
| r(s(X0),X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_265,c_57]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_777]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(X0))
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_777]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_777]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_644]) ).
tcf(c_992,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_988]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_1023,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1024,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1023]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_871]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_838]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(X3))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_1276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_828]) ).
tcf(c_1341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(s(X1)) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_1343,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_1370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_722]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_1374,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_1378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_1400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_1401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_1415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_917]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_922]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_922]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_922]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_922]) ).
tcf(c_1438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_1455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_1456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_1457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_1485,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1486,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1493,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1494,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_988]) ).
tcf(c_1773,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(z)))
| r(s(s(s(X0))),s(s(z)))
| ( s(s(s(X0))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_893]) ).
tcf(c_1774,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z)))
| ( s(s(s(z))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1773]) ).
tcf(c_1788,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_893]) ).
tcf(c_1789,plain,
( b(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| ( s(s(z)) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1788]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(X1)))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_893]) ).
tcf(c_1828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_1859,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1456]) ).
tcf(c_1860,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_1861,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1860]) ).
tcf(c_1862,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1859]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_1872,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_1873,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1872]) ).
tcf(c_1878,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1456]) ).
tcf(c_1881,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1878]) ).
tcf(c_1954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_1959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_1961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_1962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1456]) ).
tcf(c_1963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_2009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1456]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1415]) ).
tcf(c_2057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1401]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1400]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1378]) ).
tcf(c_2061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1370]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_993]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_991]) ).
tcf(c_2065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_2067,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1374]) ).
tcf(c_2069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_2071,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_989]) ).
tcf(c_2072,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_926]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_919]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_911]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_907]) ).
tcf(c_2084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_2085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_778]) ).
tcf(c_2086,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2085]) ).
tcf(c_2087,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2084]) ).
tcf(c_2089,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2082]) ).
tcf(c_2090,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2081]) ).
tcf(c_2091,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2080]) ).
tcf(c_2092,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2079]) ).
tcf(c_2093,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2065]) ).
tcf(c_2097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1440]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1425]) ).
tcf(c_2099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1438]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1423]) ).
tcf(c_2102,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_2103,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2100]) ).
tcf(c_2104,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2099]) ).
tcf(c_2150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1828]) ).
tcf(c_2151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1422]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1415]) ).
tcf(c_2154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1400]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_2165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_989]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_920]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_919]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_927]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_2177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_911]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_907]) ).
tcf(c_2179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_2180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_2181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_778]) ).
tcf(c_2182,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2181]) ).
tcf(c_2183,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2180]) ).
tcf(c_2184,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2179]) ).
tcf(c_2185,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2178]) ).
tcf(c_2186,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2177]) ).
tcf(c_2187,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2176]) ).
tcf(c_2188,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_2189,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2165]) ).
tcf(c_2190,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2161]) ).
tcf(c_2191,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2150]) ).
tcf(c_2195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1440]) ).
tcf(c_2196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1425]) ).
tcf(c_2197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(z))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1438]) ).
tcf(c_2198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_2199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1423]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(z)))
| ~ r(s(s(z)),X1)
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_2515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(X0)) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_788]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1058]) ).
tcf(c_2596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_2598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1457]) ).
tcf(c_2617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_872]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_2623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_2624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1457]) ).
tcf(c_2625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_2627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_2682,plain,
! [X0: $i] :
( b(z,s(s(s(X0))))
| r(z,s(s(s(X0))))
| ( z = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_2683,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2682]) ).
tcf(c_2684,plain,
! [X0: $i] :
( b(s(z),s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_2685,plain,
( b(s(z),s(s(s(z))))
| r(s(z),s(s(s(z))))
| ( s(z) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2684]) ).
tcf(c_2695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2058]) ).
tcf(c_2696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2058]) ).
tcf(c_2707,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2198]) ).
tcf(c_2714,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2199]) ).
tcf(c_2727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_2728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_2740,plain,
! [X0: $i] :
( b(s(s(s(X0))),z)
| r(s(s(s(X0))),z)
| ( s(s(s(X0))) = z ) ),
inference(instantiation,[status(thm)],[c_662]) ).
tcf(c_2741,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_2740]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2057]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2057]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(X1))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1806]) ).
tcf(c_2778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_2789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2097]) ).
tcf(c_2795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2098]) ).
tcf(c_2817,plain,
! [X0: $i,X1: $i] :
( b(s(z),X1)
| r(s(z),X1)
| b(s(s(X0)),X1)
| r(s(s(X0)),X1) ),
inference(resolution,[status(thm)],[c_471,c_56]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(s(s(X1)),X2)
| b(s(s(X0)),X2)
| r(s(s(X1)),X2)
| r(s(s(X0)),X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_471,c_57]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),X3)
| b(s(X1),X3)
| r(s(X2),X3)
| r(s(X1),X3)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_471,c_129]) ).
tcf(c_2821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X2),X3)
| b(s(X1),X3)
| r(s(X2),X3)
| r(s(X1),X3)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_471,c_170]) ).
tcf(c_2827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2151]) ).
tcf(c_2832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2152]) ).
tcf(c_2833,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_2834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2152]) ).
tcf(c_2864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2172]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2172]) ).
tcf(c_2870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X1)))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(X1)))
| r(X0,s(s(X1)))
| ( X0 = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_2937,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0)))
| r(s(s(X0)),s(s(X0))) ),
inference(resolution,[status(thm)],[c_2817,c_59]) ).
tcf(c_2938,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2937]) ).
tcf(c_2940,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),z)
| b(s(z),s(X2))
| r(s(z),s(X2))
| r(s(s(X1)),s(X2))
| ~ b(X0,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(X0,s(s(X1))) ),
inference(resolution,[status(thm)],[c_2817,c_327]) ).
tcf(c_2941,plain,
( r(s(z),z)
| b(s(z),s(z))
| r(s(z),s(z))
| r(s(s(z)),s(z))
| ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_2940]) ).
tcf(c_2991,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2992,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2991]) ).
tcf(c_3018,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_3019,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3018]) ).
tcf(c_3070,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_3071,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_3070]) ).
tcf(c_3097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2480]) ).
tcf(c_3106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2512]) ).
tcf(c_3107,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3106]) ).
tcf(c_3112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2515]) ).
tcf(c_3208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2559]) ).
tcf(c_3214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2695]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2727]) ).
tcf(c_3268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(s(s(X1))) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1341]) ).
tcf(c_3273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2754]) ).
tcf(c_3297,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1487]) ).
tcf(c_3312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2778]) ).
tcf(c_3317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2789]) ).
tcf(c_3322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2795]) ).
tcf(c_3326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2870]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2871]) ).
tcf(c_3341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2563]) ).
tcf(c_3364,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_3367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_3374,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_3400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2696]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| r(s(X2),s(X1))
| r(s(X0),s(X2))
| ( X2 = X1 )
| ( X0 = X2 )
| ~ b(s(X2),z)
| ~ b(s(X0),s(X1)) ),
inference(resolution,[status(thm)],[c_743,c_121]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| r(s(X2),s(X1))
| r(s(X0),s(X2))
| ( X2 = X1 )
| ( X2 = X0 )
| ~ b(s(X2),z)
| ~ b(s(X0),s(X1)) ),
inference(resolution,[status(thm)],[c_743,c_168]) ).
tcf(c_3496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2827]) ).
tcf(c_3513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2872]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2872]) ).
tcf(c_3522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2873]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_872]) ).
tcf(c_3555,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_3556,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_3559,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(z),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_3560,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_3561,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_3560]) ).
tcf(c_3562,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_3576,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(z),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2619]) ).
tcf(c_3595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_3602,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1457]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_3608,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_3602]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(z),s(X1))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_3618,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(z),s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2619]) ).
tcf(c_3666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2622]) ).
tcf(c_3669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2005]) ).
tcf(c_3670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2009]) ).
tcf(c_3673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1963]) ).
tcf(c_3675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1959]) ).
tcf(c_3680,plain,
! [X0: $i,X1: $i] :
( ~ b(z,X1)
| ~ b(X1,s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_2596]) ).
tcf(c_3734,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(X1))
| r(s(s(s(X0))),s(X1))
| ( s(s(s(X0))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_3735,plain,
( b(s(s(s(z))),s(z))
| r(s(s(s(z))),s(z))
| ( s(s(s(z))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_3734]) ).
tcf(c_3769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_3782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_3796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(X0)))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1058]) ).
tcf(c_3801,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(X1))))
| r(X0,s(s(s(X1))))
| ( X0 = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_2917]) ).
tcf(c_3952,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3297]) ).
tcf(c_3953,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3952]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_3297]) ).
tcf(c_3963,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3297]) ).
tcf(c_3964,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_3963]) ).
tcf(c_3980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_872]) ).
tcf(c_3981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_3982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(X2,s(X0))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_3987,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1457]) ).
tcf(c_3989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_3991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_3999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2617]) ).
tcf(c_4000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_4003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(X0),s(z))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2598]) ).
tcf(c_4091,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(z))
| r(s(s(s(X0))),s(z))
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_4152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3097]) ).
tcf(c_4153,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4152]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3364]) ).
tcf(c_4214,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3374]) ).
tcf(c_4522,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2060]) ).
tcf(c_4525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2060]) ).
tcf(c_4537,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2077]) ).
tcf(c_4550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3341]) ).
tcf(c_4559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3367]) ).
tcf(c_4591,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_2937,c_56,c_78,c_97,c_151,c_199]) ).
tcf(c_4613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2728]) ).
tcf(c_4616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2728]) ).
tcf(c_4723,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1867]) ).
tcf(c_4725,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4723]) ).
tcf(c_4756,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(s(s(z))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2756]) ).
tcf(c_4757,plain,
( b(s(s(s(s(z)))),s(s(s(z))))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4756]) ).
tcf(c_4784,plain,
! [X0: $i,X1: $i] :
( b(X1,s(z))
| r(X1,s(z))
| b(s(s(X0)),X1)
| r(s(s(X0)),X1) ),
inference(resolution,[status(thm)],[c_970,c_56]) ).
tcf(c_4807,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_2756]) ).
tcf(c_4808,plain,
( b(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(z)))))
| ( s(s(s(z))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4807]) ).
tcf(c_4814,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3112]) ).
tcf(c_4816,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4814]) ).
tcf(c_4869,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1828]) ).
tcf(c_4882,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1374]) ).
tcf(c_4974,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X0),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2627]) ).
tcf(c_4975,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_4974]) ).
tcf(c_4997,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_704]) ).
tcf(c_5002,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3562]) ).
tcf(c_5003,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5002]) ).
tcf(c_5034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_452]) ).
tcf(c_5090,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| r(s(s(X0)),s(s(X0))) ),
inference(resolution,[status(thm)],[c_4784,c_59]) ).
tcf(c_5091,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5090]) ).
tcf(c_5101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X2),s(X1))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_644]) ).
tcf(c_5164,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(s(X0))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3958]) ).
tcf(c_5165,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_5166,plain,
( ( s(s(s(z))) = s(s(s(z))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_5164]) ).
tcf(c_5167,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_5165]) ).
tcf(c_5177,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(X1))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_2756]) ).
tcf(c_5235,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3559]) ).
tcf(c_5236,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5235]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_5390,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4522]) ).
tcf(c_5397,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4537]) ).
tcf(c_5418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3576]) ).
tcf(c_5419,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5418]) ).
tcf(c_5423,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3618]) ).
tcf(c_5430,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(s(X0),s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3680]) ).
tcf(c_5444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2625]) ).
tcf(c_5445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_5446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2627]) ).
tcf(c_5487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_5505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3595]) ).
tcf(c_5752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3553]) ).
tcf(c_5781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3564]) ).
tcf(c_5782,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5781]) ).
tcf(c_5810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3603]) ).
tcf(c_5817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3604]) ).
tcf(c_5818,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5817]) ).
tcf(c_5832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3670]) ).
tcf(c_5836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_5871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3782]) ).
tcf(c_5880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3987]) ).
tcf(c_5887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3991]) ).
tcf(c_5888,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_5887]) ).
tcf(c_5895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4003]) ).
tcf(c_5902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4525]) ).
tcf(c_5927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_6164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3612]) ).
tcf(c_6180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3666]) ).
tcf(c_6230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3982]) ).
tcf(c_6268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3980]) ).
tcf(c_6274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3980]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3981]) ).
tcf(c_6369,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4152]) ).
tcf(c_6373,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6369]) ).
tcf(c_6534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1962]) ).
tcf(c_6538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1963]) ).
tcf(c_6542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2009]) ).
tcf(c_6760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3980]) ).
tcf(c_6797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3988]) ).
tcf(c_6809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3989]) ).
tcf(c_7052,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4559]) ).
tcf(c_7055,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4613]) ).
tcf(c_7056,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4214]) ).
tcf(c_7057,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4209]) ).
tcf(c_7064,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3322]) ).
tcf(c_7066,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3312]) ).
tcf(c_7067,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3273]) ).
tcf(c_7068,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_7069,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3214]) ).
tcf(c_7070,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3513]) ).
tcf(c_7073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2755]) ).
tcf(c_7074,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_7075,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7074]) ).
tcf(c_7076,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7073]) ).
tcf(c_7077,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7070]) ).
tcf(c_7078,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7069]) ).
tcf(c_7079,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7068]) ).
tcf(c_7080,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7067]) ).
tcf(c_7081,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7066]) ).
tcf(c_7082,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7064]) ).
tcf(c_7083,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7055]) ).
tcf(c_7087,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3330]) ).
tcf(c_7088,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3326]) ).
tcf(c_7089,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7088]) ).
tcf(c_7090,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7087]) ).
tcf(c_7232,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4613]) ).
tcf(c_7241,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3322]) ).
tcf(c_7242,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3317]) ).
tcf(c_7243,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3312]) ).
tcf(c_7244,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3273]) ).
tcf(c_7245,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_7246,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3214]) ).
tcf(c_7247,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3513]) ).
tcf(c_7251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_7252,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7251]) ).
tcf(c_7254,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7247]) ).
tcf(c_7255,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7246]) ).
tcf(c_7256,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7245]) ).
tcf(c_7257,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7244]) ).
tcf(c_7258,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7243]) ).
tcf(c_7259,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7242]) ).
tcf(c_7260,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7241]) ).
tcf(c_7261,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7232]) ).
tcf(c_7265,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3330]) ).
tcf(c_7266,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3326]) ).
tcf(c_7393,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4997]) ).
tcf(c_7394,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7393]) ).
tcf(c_7395,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4997]) ).
tcf(c_7549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_7633,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5390]) ).
tcf(c_7640,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5397]) ).
tcf(c_7650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5871]) ).
tcf(c_7913,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5397]) ).
tcf(c_7914,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5390]) ).
tcf(c_7918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4616]) ).
tcf(c_7920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4559]) ).
tcf(c_7921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4550]) ).
tcf(c_7923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4613]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4214]) ).
tcf(c_7925,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4209]) ).
tcf(c_7927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3496]) ).
tcf(c_7938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3513]) ).
tcf(c_7943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3522]) ).
tcf(c_7944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3516]) ).
tcf(c_8161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4559]) ).
tcf(c_8164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4613]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3400]) ).
tcf(c_8179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3513]) ).
tcf(c_8181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2880]) ).
tcf(c_8182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2755]) ).
tcf(c_8184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3522]) ).
tcf(c_8185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3516]) ).
tcf(c_8186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3330]) ).
tcf(c_8187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(z)))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3326]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5446]) ).
tcf(c_8337,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_8362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5927]) ).
tcf(c_8402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5887]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5902]) ).
tcf(c_8517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6268]) ).
tcf(c_8753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6274]) ).
tcf(c_8754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6274]) ).
tcf(c_8771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_8885,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1788]) ).
tcf(c_8886,plain,
( b(s(s(z)),s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(z)))))
| ( s(s(z)) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_8885]) ).
tcf(c_8891,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1773]) ).
tcf(c_8892,plain,
( b(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(s(z)))),s(s(z)))
| ( s(s(s(s(z)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_8891]) ).
tcf(c_8920,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_8921,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_8920]) ).
tcf(c_9038,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7265]) ).
tcf(c_9044,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7266]) ).
tcf(c_9045,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9044]) ).
tcf(c_9069,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(s(X1)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_5177]) ).
tcf(c_9071,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7052]) ).
tcf(c_9420,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_9422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_856]) ).
tcf(c_9799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8186]) ).
tcf(c_9808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8187]) ).
tcf(c_9863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X2))),s(s(s(X1))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7920]) ).
tcf(c_9916,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(X0))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8414]) ).
tcf(c_9917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X2))),s(s(s(X1))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8414]) ).
tcf(c_9958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7918]) ).
tcf(c_10008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7927]) ).
tcf(c_10063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X3))),s(s(s(X2))))
| ~ r(s(s(s(X3))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7943]) ).
tcf(c_10074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(X3))))
| ~ r(s(s(s(X3))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7944]) ).
tcf(c_10165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X2))),s(s(s(X1))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8182]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8184]) ).
tcf(c_10200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8185]) ).
tcf(c_10647,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_4091]) ).
tcf(c_10648,plain,
( b(s(s(s(s(z)))),s(z))
| r(s(s(s(s(z)))),s(z))
| ( s(s(s(s(z)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_10647]) ).
tcf(c_10675,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_10677,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X0)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_3989]) ).
tcf(c_10689,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_5430]) ).
tcf(c_10692,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4003]) ).
tcf(c_10695,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10689]) ).
tcf(c_10697,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X0)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_3603]) ).
tcf(c_10698,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3564]) ).
tcf(c_10700,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10698]) ).
tcf(c_10925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_10943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4003]) ).
tcf(c_10946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3564]) ).
tcf(c_11019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8771]) ).
tcf(c_11020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8517]) ).
tcf(c_11024,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_11025,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_11030,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5423]) ).
tcf(c_11034,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11030]) ).
tcf(c_11035,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11025]) ).
tcf(c_11036,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11024]) ).
tcf(c_11051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1961]) ).
tcf(c_11054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1954]) ).
tcf(c_11057,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11054]) ).
tcf(c_11060,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_11061,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6542]) ).
tcf(c_11071,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11061]) ).
tcf(c_11072,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11060]) ).
tcf(c_11080,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6538]) ).
tcf(c_11081,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6534]) ).
tcf(c_11084,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11081]) ).
tcf(c_11085,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11080]) ).
tcf(c_11086,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6180]) ).
tcf(c_11087,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3669]) ).
tcf(c_11088,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3675]) ).
tcf(c_11089,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11088]) ).
tcf(c_11090,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11087]) ).
tcf(c_11091,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11086]) ).
tcf(c_11092,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8402]) ).
tcf(c_11093,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11092]) ).
tcf(c_11286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8753]) ).
tcf(c_11288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6283]) ).
tcf(c_11290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3989]) ).
tcf(c_11359,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(z),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_11360,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_11370,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11360]) ).
tcf(c_11371,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11359]) ).
tcf(c_11395,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_11407,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11395]) ).
tcf(c_11415,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6538]) ).
tcf(c_11416,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6534]) ).
tcf(c_11417,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5836]) ).
tcf(c_11418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5832]) ).
tcf(c_11419,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11418]) ).
tcf(c_11420,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11417]) ).
tcf(c_11421,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11416]) ).
tcf(c_11422,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11415]) ).
tcf(c_11729,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_12051,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7395]) ).
tcf(c_12524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4000]) ).
tcf(c_12543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3796]) ).
tcf(c_12544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3796]) ).
tcf(c_12963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8771]) ).
tcf(c_12964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8517]) ).
tcf(c_12968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_12969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_12973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6164]) ).
tcf(c_13527,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_3958]) ).
tcf(c_13931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3999]) ).
tcf(c_14061,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2063]) ).
tcf(c_14096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5752]) ).
tcf(c_14110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5880]) ).
tcf(c_14169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_14170,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_14429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_14430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_14434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2624]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8362]) ).
tcf(c_14702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X0))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X0))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8754]) ).
tcf(c_14972,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(X0)))))
| r(s(z),s(s(s(s(X0)))))
| ( s(z) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_2684]) ).
tcf(c_14973,plain,
( b(s(z),s(s(s(s(z)))))
| r(s(z),s(s(s(s(z)))))
| ( s(z) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_14972]) ).
tcf(c_15174,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),z)
| r(s(s(s(s(X0)))),z)
| ( s(s(s(s(X0)))) = z ) ),
inference(instantiation,[status(thm)],[c_2740]) ).
tcf(c_15175,plain,
( b(s(s(s(s(z)))),z)
| r(s(s(s(s(z)))),z)
| ( s(s(s(s(z)))) = z ) ),
inference(instantiation,[status(thm)],[c_15174]) ).
tcf(c_15180,plain,
! [X0: $i] :
( b(z,s(s(s(s(X0)))))
| r(z,s(s(s(s(X0)))))
| ( z = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_2682]) ).
tcf(c_15181,plain,
( b(z,s(s(s(s(z)))))
| r(z,s(s(s(s(z)))))
| ( z = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_15180]) ).
tcf(c_15323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10943]) ).
tcf(c_15516,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_13527]) ).
tcf(c_15517,plain,
( ( s(s(s(s(z)))) = s(s(s(z))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_15516]) ).
tcf(c_15518,plain,
! [X0: $i] :
( ( s(s(s(z))) = s(s(s(s(X0)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_13527]) ).
tcf(c_15519,plain,
( ( s(s(s(z))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_15518]) ).
tcf(c_15561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12524]) ).
tcf(c_15623,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10677]) ).
tcf(c_15677,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10697]) ).
tcf(c_15771,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11359]) ).
tcf(c_15772,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15771]) ).
tcf(c_15800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10925]) ).
tcf(c_15810,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11360]) ).
tcf(c_15811,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15810]) ).
tcf(c_16004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11288]) ).
tcf(c_16005,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16004]) ).
tcf(c_16006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11288]) ).
tcf(c_16009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11288]) ).
tcf(c_16146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2617]) ).
tcf(c_16186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6760]) ).
tcf(c_16195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8754]) ).
tcf(c_16657,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_16658,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16657]) ).
tcf(c_16659,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_16660,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16659]) ).
tcf(c_16706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10946]) ).
tcf(c_16750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11019]) ).
tcf(c_16893,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(X1)))))
| r(X0,s(s(s(s(X1)))))
| ( X0 = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_3801]) ).
tcf(c_17171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14096]) ).
tcf(c_17308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11020]) ).
tcf(c_17322,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11051]) ).
tcf(c_17423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_11290]) ).
tcf(c_17537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12968]) ).
tcf(c_17547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12969]) ).
tcf(c_17635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14169]) ).
tcf(c_17697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14429]) ).
tcf(c_17699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14429]) ).
tcf(c_17701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14429]) ).
tcf(c_17702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14429]) ).
tcf(c_17748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14430]) ).
tcf(c_17771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11286]) ).
tcf(c_18321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14434]) ).
tcf(c_18322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14434]) ).
tcf(c_18325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14702]) ).
tcf(c_18329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14702]) ).
tcf(c_18371,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_9069]) ).
tcf(c_18372,plain,
( b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_18371]) ).
tcf(c_18396,plain,
! [X0: $i] :
( b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_9069]) ).
tcf(c_18397,plain,
( b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ( s(s(s(s(z)))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_18396]) ).
tcf(c_18434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15561]) ).
tcf(c_18435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15561]) ).
tcf(c_18470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_18471,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5101]) ).
tcf(c_18475,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18472]) ).
tcf(c_18480,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4882]) ).
tcf(c_18482,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_635]) ).
tcf(c_18483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2197]) ).
tcf(c_18484,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18483]) ).
tcf(c_18485,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_18486,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18480]) ).
tcf(c_18492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3796]) ).
tcf(c_18493,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18492]) ).
tcf(c_18498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2165]) ).
tcf(c_18499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2069]) ).
tcf(c_18500,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18499]) ).
tcf(c_18501,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18498]) ).
tcf(c_18502,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2070]) ).
tcf(c_18507,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2067]) ).
tcf(c_18509,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18507]) ).
tcf(c_18511,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18502]) ).
tcf(c_18514,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_915]) ).
tcf(c_18516,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_18514]) ).
tcf(c_18543,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2078]) ).
tcf(c_18544,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3208]) ).
tcf(c_18545,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18544]) ).
tcf(c_18546,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18543]) ).
tcf(c_18557,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2062]) ).
tcf(c_18563,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18557]) ).
tcf(c_18565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2099]) ).
tcf(c_18570,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2714]) ).
tcf(c_18571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_18574,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18571]) ).
tcf(c_18575,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18570]) ).
tcf(c_18576,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18565]) ).
tcf(c_18587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2181]) ).
tcf(c_18589,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18587]) ).
tcf(c_18612,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4152]) ).
tcf(c_18614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_18615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2058]) ).
tcf(c_18616,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18615]) ).
tcf(c_18617,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18614]) ).
tcf(c_18618,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18612]) ).
tcf(c_18626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2154]) ).
tcf(c_18635,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2167]) ).
tcf(c_18637,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18635]) ).
tcf(c_18649,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(z,s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7549]) ).
tcf(c_18650,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18649]) ).
tcf(c_18657,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5257]) ).
tcf(c_18658,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_18657]) ).
tcf(c_18679,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2072]) ).
tcf(c_18680,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2071]) ).
tcf(c_18684,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18680]) ).
tcf(c_18685,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18679]) ).
tcf(c_18687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2150]) ).
tcf(c_18689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(X2)),z)
| ~ r(s(X1),s(s(X2)))
| ~ r(z,s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_18692,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18689]) ).
tcf(c_18694,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18687]) ).
tcf(c_18700,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2078]) ).
tcf(c_18701,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3208]) ).
tcf(c_18702,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18701]) ).
tcf(c_18703,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18700]) ).
tcf(c_18706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2834]) ).
tcf(c_18712,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2707]) ).
tcf(c_18714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2100]) ).
tcf(c_18717,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18714]) ).
tcf(c_18719,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18712]) ).
tcf(c_18730,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2157]) ).
tcf(c_18732,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_18852,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15677]) ).
tcf(c_19053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_19074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X0))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7550]) ).
tcf(c_19087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_19106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2078]) ).
tcf(c_19112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8181]) ).
tcf(c_19113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2879]) ).
tcf(c_19118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2062]) ).
tcf(c_19122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_19134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_19135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2832]) ).
tcf(c_19358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12543]) ).
tcf(c_19359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2064]) ).
tcf(c_19361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2061]) ).
tcf(c_19362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_19374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12544]) ).
tcf(c_19416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X0)
| ~ r(s(s(X2)),X0)
| ~ r(s(s(X2)),s(z))
| ~ r(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7549]) ).
tcf(c_19443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3769]) ).
tcf(c_19469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_19479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2172]) ).
tcf(c_19480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2152]) ).
tcf(c_19485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2174]) ).
tcf(c_19487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_19670,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16706]) ).
tcf(c_19671,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19670]) ).
tcf(c_19672,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16706]) ).
tcf(c_19673,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19672]) ).
tcf(c_19674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16706]) ).
tcf(c_19675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16706]) ).
tcf(c_19683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16750]) ).
tcf(c_19799,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17171]) ).
tcf(c_19800,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19799]) ).
tcf(c_19801,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17171]) ).
tcf(c_19802,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19801]) ).
tcf(c_19822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17697]) ).
tcf(c_19823,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19822]) ).
tcf(c_20006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17308]) ).
tcf(c_20080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17537]) ).
tcf(c_20094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_20133,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17635]) ).
tcf(c_20134,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20133]) ).
tcf(c_20135,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17635]) ).
tcf(c_20136,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20135]) ).
tcf(c_20321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16146]) ).
tcf(c_20341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16186]) ).
tcf(c_20360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_17423]) ).
tcf(c_20361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17423]) ).
tcf(c_20401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16195]) ).
tcf(c_20478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17702]) ).
tcf(c_20479,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20478]) ).
tcf(c_20673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18325]) ).
tcf(c_20676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18325]) ).
tcf(c_20690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18329]) ).
tcf(c_21134,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_12051]) ).
tcf(c_21135,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7650]) ).
tcf(c_21169,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21135]) ).
tcf(c_21170,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21134]) ).
tcf(c_21194,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7921]) ).
tcf(c_21217,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7938]) ).
tcf(c_21218,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7925]) ).
tcf(c_21219,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7924]) ).
tcf(c_21220,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7923]) ).
tcf(c_21221,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7914]) ).
tcf(c_21222,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7913]) ).
tcf(c_21223,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21222]) ).
tcf(c_21224,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21221]) ).
tcf(c_21225,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21220]) ).
tcf(c_21226,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21219]) ).
tcf(c_21227,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21218]) ).
tcf(c_21228,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21217]) ).
tcf(c_21229,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21194]) ).
tcf(c_21261,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7088]) ).
tcf(c_21262,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7087]) ).
tcf(c_21263,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9916]) ).
tcf(c_21264,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9071]) ).
tcf(c_21265,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21264]) ).
tcf(c_21266,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21263]) ).
tcf(c_21267,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21262]) ).
tcf(c_21268,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21261]) ).
tcf(c_21286,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9808]) ).
tcf(c_21287,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9799]) ).
tcf(c_21290,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21287]) ).
tcf(c_21291,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21286]) ).
tcf(c_21292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(z)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10074]) ).
tcf(c_21293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10063]) ).
tcf(c_21294,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21293]) ).
tcf(c_21295,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21292]) ).
tcf(c_21319,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_18649]) ).
tcf(c_21320,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_21319]) ).
tcf(c_21604,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12051]) ).
tcf(c_21639,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21604]) ).
tcf(c_21645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10008]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9958]) ).
tcf(c_21877,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14061]) ).
tcf(c_21977,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_21978,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_21977]) ).
tcf(c_22017,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_22018,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_22017]) ).
tcf(c_22865,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18730]) ).
tcf(c_22866,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_22865]) ).
tcf(c_23152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(s(s(s(X1)))) )
| ( s(s(X0)) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_3268]) ).
tcf(c_23239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_9422]) ).
tcf(c_23382,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10192]) ).
tcf(c_23383,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_23382]) ).
tcf(c_23393,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10200]) ).
tcf(c_23394,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_23393]) ).
tcf(c_23395,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11024]) ).
tcf(c_23396,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23395]) ).
tcf(c_23407,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11025]) ).
tcf(c_23408,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23407]) ).
tcf(c_23646,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_18706]) ).
tcf(c_24400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X0)
| ~ r(s(s(s(X2))),X0)
| ~ r(s(s(s(X2))),s(z))
| ~ r(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19416]) ).
tcf(c_24482,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9863]) ).
tcf(c_24483,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24482]) ).
tcf(c_24497,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9917]) ).
tcf(c_24498,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24497]) ).
tcf(c_24625,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18626]) ).
tcf(c_24734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19106]) ).
tcf(c_24735,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24734]) ).
tcf(c_24853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19361]) ).
tcf(c_24854,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24853]) ).
tcf(c_24886,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19443]) ).
tcf(c_24924,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19485]) ).
tcf(c_24925,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24924]) ).
tcf(c_24983,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19674]) ).
tcf(c_24984,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24983]) ).
tcf(c_24996,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19675]) ).
tcf(c_24997,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24996]) ).
tcf(c_25008,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19683]) ).
tcf(c_25009,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25008]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10165]) ).
tcf(c_25317,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25316]) ).
tcf(c_25466,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12973]) ).
tcf(c_25467,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25466]) ).
tcf(c_25565,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17748]) ).
tcf(c_25566,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25565]) ).
tcf(c_25587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19053]) ).
tcf(c_25588,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25587]) ).
tcf(c_25645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19074]) ).
tcf(c_25646,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25645]) ).
tcf(c_25711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19087]) ).
tcf(c_25712,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25711]) ).
tcf(c_25749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19112]) ).
tcf(c_25750,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25749]) ).
tcf(c_25767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19113]) ).
tcf(c_25768,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25767]) ).
tcf(c_25811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19122]) ).
tcf(c_25812,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25811]) ).
tcf(c_25879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19358]) ).
tcf(c_25880,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25879]) ).
tcf(c_25897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19362]) ).
tcf(c_25898,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25897]) ).
tcf(c_25910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12964]) ).
tcf(c_25982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(X2)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19374]) ).
tcf(c_25983,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25982]) ).
tcf(c_26096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19469]) ).
tcf(c_26097,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26096]) ).
tcf(c_26098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19469]) ).
tcf(c_26159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19479]) ).
tcf(c_26174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19480]) ).
tcf(c_26241,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20006]) ).
tcf(c_26242,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26241]) ).
tcf(c_26273,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20080]) ).
tcf(c_26274,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26273]) ).
tcf(c_26286,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20094]) ).
tcf(c_26287,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26286]) ).
tcf(c_26432,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20673]) ).
tcf(c_26433,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26432]) ).
tcf(c_26496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12963]) ).
tcf(c_26508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16009]) ).
tcf(c_26509,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26508]) ).
tcf(c_26530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_26547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18435]) ).
tcf(c_26615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20360]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20361]) ).
tcf(c_26631,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26630]) ).
tcf(c_26641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20401]) ).
tcf(c_26865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20676]) ).
tcf(c_26866,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26865]) ).
tcf(c_26892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20690]) ).
tcf(c_26906,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(z))
| r(s(s(s(s(s(X0))))),s(z))
| ( s(s(s(s(s(X0))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_10647]) ).
tcf(c_26907,plain,
( b(s(s(s(s(s(z))))),s(z))
| r(s(s(s(s(s(z))))),s(z))
| ( s(s(s(s(s(z))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_26906]) ).
tcf(c_27077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13931]) ).
tcf(c_27078,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_27090,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_27091,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_27096,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5423]) ).
tcf(c_27097,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5505]) ).
tcf(c_27099,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27097]) ).
tcf(c_27100,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27096]) ).
tcf(c_27101,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27091]) ).
tcf(c_27102,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27090]) ).
tcf(c_27103,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27078]) ).
tcf(c_27104,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27077]) ).
tcf(c_27124,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1872]) ).
tcf(c_27132,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27124]) ).
tcf(c_27146,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6542]) ).
tcf(c_27166,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6538]) ).
tcf(c_27167,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6534]) ).
tcf(c_27170,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27167]) ).
tcf(c_27171,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27166]) ).
tcf(c_27179,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_18852]) ).
tcf(c_27181,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15623]) ).
tcf(c_27185,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10692]) ).
tcf(c_27187,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10675]) ).
tcf(c_27190,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27187]) ).
tcf(c_27191,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27185]) ).
tcf(c_27192,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27181]) ).
tcf(c_27193,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27179]) ).
tcf(c_27264,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_27268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11288]) ).
tcf(c_27276,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_27277,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_27280,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6230]) ).
tcf(c_27282,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5423]) ).
tcf(c_27286,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27282]) ).
tcf(c_27287,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27280]) ).
tcf(c_27288,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27277]) ).
tcf(c_27289,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27276]) ).
tcf(c_27291,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27268]) ).
tcf(c_27292,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27264]) ).
tcf(c_27342,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14110]) ).
tcf(c_27351,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27342]) ).
tcf(c_27378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18322]) ).
tcf(c_27379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17702]) ).
tcf(c_27382,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27379]) ).
tcf(c_27383,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27378]) ).
tcf(c_27384,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17771]) ).
tcf(c_27385,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16004]) ).
tcf(c_27386,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27385]) ).
tcf(c_27387,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27384]) ).
tcf(c_27389,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17322]) ).
tcf(c_27391,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11054]) ).
tcf(c_27392,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27391]) ).
tcf(c_27393,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27389]) ).
tcf(c_27394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_18321]) ).
tcf(c_27396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_17701]) ).
tcf(c_27399,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27396]) ).
tcf(c_27400,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27394]) ).
tcf(c_27437,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_9420]) ).
tcf(c_27441,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_27437]) ).
tcf(c_27714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14597]) ).
tcf(c_27721,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12051]) ).
tcf(c_27756,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27721]) ).
tcf(c_27783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19358]) ).
tcf(c_27789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19359]) ).
tcf(c_27790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19118]) ).
tcf(c_27799,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27790]) ).
tcf(c_27800,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27789]) ).
tcf(c_27801,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27783]) ).
tcf(c_27957,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_21319]) ).
tcf(c_27958,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_27957]) ).
tcf(c_28031,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23382]) ).
tcf(c_28061,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23646]) ).
tcf(c_28063,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_28061]) ).
tcf(c_28878,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(z))))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4756]) ).
tcf(c_28879,plain,
( b(s(s(s(s(s(z))))),s(s(s(z))))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_28878]) ).
tcf(c_29498,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(s(X0))))))
| r(s(z),s(s(s(s(s(X0))))))
| ( s(z) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_14972]) ).
tcf(c_29499,plain,
( b(s(z),s(s(s(s(s(z))))))
| r(s(z),s(s(s(s(s(z))))))
| ( s(z) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_29498]) ).
tcf(c_29506,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_24625]) ).
tcf(c_29541,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),z)
| r(s(s(s(s(s(X0))))),z)
| ( s(s(s(s(s(X0))))) = z ) ),
inference(instantiation,[status(thm)],[c_15174]) ).
tcf(c_29542,plain,
( b(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),z)
| ( s(s(s(s(s(z))))) = z ) ),
inference(instantiation,[status(thm)],[c_29541]) ).
tcf(c_29555,plain,
! [X0: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_24886]) ).
tcf(c_30311,plain,
! [X0: $i,X1: $i] :
( b(s(s(z)),X1)
| r(s(s(z)),X1)
| b(s(s(s(X0))),X1)
| r(s(s(s(X0))),X1) ),
inference(resolution,[status(thm)],[c_2818,c_56]) ).
tcf(c_30383,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_4807]) ).
tcf(c_30385,plain,
( b(s(s(s(z))),s(s(s(s(s(z))))))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| ( s(s(s(z))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_30748,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21645]) ).
tcf(c_30749,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30748]) ).
tcf(c_30760,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21646]) ).
tcf(c_30761,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30760]) ).
tcf(c_30892,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(X1) )
| ( s(X1) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_23152]) ).
tcf(c_30893,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(z) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_30892]) ).
tcf(c_31165,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = X1 )
| ( X1 != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_23239]) ).
tcf(c_31166,plain,
( ( s(s(s(s(z)))) = z )
| ( z != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_31165]) ).
tcf(c_31298,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| r(s(X1),s(X1))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_2820,c_59]) ).
tcf(c_31323,plain,
! [X0: $i,X1: $i] :
( b(s(X1),X1)
| b(s(X0),X1)
| r(s(X1),X1)
| r(s(X0),X1)
| ( s(X0) = X0 ) ),
inference(factoring,[status(thm)],[c_2820]) ).
tcf(c_31666,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_24400]) ).
tcf(c_31667,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31666]) ).
tcf(c_31879,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(s(X1))))))
| r(X0,s(s(s(s(s(X1))))))
| ( X0 = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_16893]) ).
tcf(c_31880,plain,
( b(z,s(s(s(s(s(z))))))
| r(z,s(s(s(s(s(z))))))
| ( z = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_31879]) ).
tcf(c_32574,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26496]) ).
tcf(c_32576,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32574]) ).
tcf(c_32654,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| ( s(s(s(s(s(X0))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_8891]) ).
tcf(c_32656,plain,
( b(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(z)))
| ( s(s(s(s(s(z))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_32654]) ).
tcf(c_33008,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17537]) ).
tcf(c_33009,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33008]) ).
tcf(c_33022,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_33023,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33022]) ).
tcf(c_33556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26615]) ).
tcf(c_33557,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33556]) ).
tcf(c_33805,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25910]) ).
tcf(c_33806,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(z)),s(s(s(s(s(X0))))))
| ( s(s(z)) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_8885]) ).
tcf(c_33807,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33805]) ).
tcf(c_33808,plain,
( b(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(z)),s(s(s(s(s(z))))))
| ( s(s(z)) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_33806]) ).
tcf(c_34016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26098]) ).
tcf(c_34017,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34016]) ).
tcf(c_34078,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26641]) ).
tcf(c_34079,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34078]) ).
tcf(c_34108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26159]) ).
tcf(c_34109,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34108]) ).
tcf(c_34127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26174]) ).
tcf(c_34128,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34127]) ).
tcf(c_34485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26530]) ).
tcf(c_34486,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34485]) ).
tcf(c_34567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26547]) ).
tcf(c_34568,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34567]) ).
tcf(c_35483,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X2),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_2821,c_59]) ).
tcf(c_35611,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_25982]) ).
tcf(c_35614,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35611]) ).
tcf(c_35787,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26508]) ).
tcf(c_35789,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35787]) ).
tcf(c_36019,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26630]) ).
tcf(c_36022,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36019]) ).
tcf(c_36102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_5487]) ).
tcf(c_36105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5445]) ).
tcf(c_36106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5444]) ).
tcf(c_36108,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36106]) ).
tcf(c_36109,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36105]) ).
tcf(c_36110,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36102]) ).
tcf(c_36165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5895]) ).
tcf(c_36168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_5817]) ).
tcf(c_36169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_5810]) ).
tcf(c_36170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_5781]) ).
tcf(c_36175,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36170]) ).
tcf(c_36176,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36169]) ).
tcf(c_36177,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36168]) ).
tcf(c_36178,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36165]) ).
tcf(c_36195,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17322]) ).
tcf(c_36198,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36195]) ).
tcf(c_36552,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_36553,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_17537]) ).
tcf(c_36555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20676]) ).
tcf(c_36556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20361]) ).
tcf(c_36557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20341]) ).
tcf(c_36561,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20478]) ).
tcf(c_36562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20321]) ).
tcf(c_36565,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_17748]) ).
tcf(c_36567,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_12973]) ).
tcf(c_36569,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19675]) ).
tcf(c_36573,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36569]) ).
tcf(c_36574,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36567]) ).
tcf(c_36576,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36565]) ).
tcf(c_36577,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36562]) ).
tcf(c_36578,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36561]) ).
tcf(c_36581,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36557]) ).
tcf(c_36582,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36556]) ).
tcf(c_36583,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36555]) ).
tcf(c_36584,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36553]) ).
tcf(c_36585,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36552]) ).
tcf(c_36654,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20094]) ).
tcf(c_36655,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20080]) ).
tcf(c_36656,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36655]) ).
tcf(c_36657,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36654]) ).
tcf(c_36667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26892]) ).
tcf(c_36669,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36667]) ).
tcf(c_36805,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_27437]) ).
tcf(c_36806,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_36805]) ).
tcf(c_37673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27714]) ).
tcf(c_37674,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37673]) ).
tcf(c_37753,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28031]) ).
tcf(c_37764,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37753]) ).
tcf(c_37845,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_3070]) ).
tcf(c_37846,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_37845]) ).
tcf(c_37942,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27264]) ).
tcf(c_37943,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_27078]) ).
tcf(c_37948,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37943]) ).
tcf(c_37949,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_37942]) ).
tcf(c_38291,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(z),s(s(X0)))
| r(s(s(X0)),s(X1))
| ( s(X0) = X1 )
| ~ b(s(z),z)
| ~ b(z,s(s(X0))) ),
inference(resolution,[status(thm)],[c_804,c_4591]) ).
tcf(c_38292,plain,
( r(z,s(z))
| r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( s(z) = z )
| ~ b(s(z),z)
| ~ b(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_38291]) ).
tcf(c_38514,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_29506]) ).
tcf(c_38515,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_38514]) ).
tcf(c_38521,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_29555]) ).
tcf(c_38522,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_38521]) ).
tcf(c_39262,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7073]) ).
tcf(c_39280,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_19118]) ).
tcf(c_39288,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39280]) ).
tcf(c_39291,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39262]) ).
tcf(c_39299,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_21877]) ).
tcf(c_39301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19487]) ).
tcf(c_39302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19135]) ).
tcf(c_39303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19134]) ).
tcf(c_39304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8172]) ).
tcf(c_39305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8161]) ).
tcf(c_39306,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_18732]) ).
tcf(c_39308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8179]) ).
tcf(c_39309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8164]) ).
tcf(c_39312,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39309]) ).
tcf(c_39313,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39308]) ).
tcf(c_39314,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39306]) ).
tcf(c_39315,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39305]) ).
tcf(c_39316,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39304]) ).
tcf(c_39317,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39303]) ).
tcf(c_39318,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39302]) ).
tcf(c_39319,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39301]) ).
tcf(c_39320,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39299]) ).
tcf(c_39336,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7069]) ).
tcf(c_39339,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7055]) ).
tcf(c_39340,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7640]) ).
tcf(c_39341,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7057]) ).
tcf(c_39347,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9044]) ).
tcf(c_39354,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39347]) ).
tcf(c_39355,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39341]) ).
tcf(c_39356,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39340]) ).
tcf(c_39357,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39339]) ).
tcf(c_39358,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39336]) ).
tcf(c_39369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26174]) ).
tcf(c_39373,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39369]) ).
tcf(c_39667,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_35483,c_58]) ).
tcf(c_39668,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_31298,c_58]) ).
tcf(c_39678,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7056]) ).
tcf(c_39679,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39678]) ).
tcf(c_39686,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7633]) ).
tcf(c_39687,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39686]) ).
tcf(c_39724,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9038]) ).
tcf(c_39725,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39724]) ).
tcf(c_39755,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7241]) ).
tcf(c_39756,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39755]) ).
tcf(c_39769,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7242]) ).
tcf(c_39770,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39769]) ).
tcf(c_39941,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_27146]) ).
tcf(c_39942,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39941]) ).
tcf(c_39960,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_7549]) ).
tcf(c_39961,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_39960]) ).
tcf(c_40071,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_40109,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_14110]) ).
tcf(c_40118,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40109]) ).
tcf(c_40119,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_40121,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40119]) ).
tcf(c_40138,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15800]) ).
tcf(c_40139,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15323]) ).
tcf(c_40141,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40139]) ).
tcf(c_40142,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40138]) ).
tcf(c_40145,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17699]) ).
tcf(c_40146,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17697]) ).
tcf(c_40147,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40146]) ).
tcf(c_40148,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40145]) ).
tcf(c_40150,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16006]) ).
tcf(c_40158,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40150]) ).
tcf(c_40587,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2533]) ).
tcf(c_40588,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40587]) ).
tcf(c_40619,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4814]) ).
tcf(c_40620,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40619]) ).
tcf(c_40632,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_4869]) ).
tcf(c_40633,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_40632]) ).
tcf(c_40678,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14170]) ).
tcf(c_40735,plain,
! [X0: $i] :
( ~ b(s(z),X0)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),X0)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10675]) ).
tcf(c_40738,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40735]) ).
tcf(c_40748,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_40749,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_40750,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_40751,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_40752,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_40754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_40755,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_40756,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_40757,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_40750]) ).
tcf(c_40758,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_40759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_40764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_40775,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_40776,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_40779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_40785,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( X1 != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_40786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_40754]) ).
tcf(c_40787,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_40755]) ).
tcf(c_40791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,z)
| ~ b(X2,X0)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_40803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_40806,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(X1))
| r(s(s(X0)),s(X1))
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_40787]) ).
tcf(c_40808,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_40787]) ).
tcf(c_40817,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_40775]) ).
tcf(c_40822,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0)))
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_40808]) ).
tcf(c_40824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(s(X0))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_40825,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40786]) ).
tcf(c_40826,plain,
! [X0: $i,X1: $i] :
( ~ r(X0,z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40754]) ).
tcf(c_40848,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_40758]) ).
tcf(c_40850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X0)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_40859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_40803]) ).
tcf(c_40868,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(X1)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_40806]) ).
tcf(c_40869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40764]) ).
tcf(c_40905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,z)
| ~ r(s(X2),z)
| ~ r(X1,s(X2))
| ~ r(z,s(s(X0))) ),
inference(instantiation,[status(thm)],[c_40824]) ).
tcf(c_40908,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40826]) ).
tcf(c_40916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_40917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40786]) ).
tcf(c_40918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40754]) ).
tcf(c_40919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_40779]) ).
tcf(c_40934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_40859]) ).
tcf(c_40948,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_40756]) ).
tcf(c_40949,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(z)))
| r(s(s(s(X0))),s(s(z)))
| ( s(s(s(X0))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_40868]) ).
tcf(c_40978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_40850]) ).
tcf(c_40979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_40850]) ).
tcf(c_40980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(X0))
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_40850]) ).
tcf(c_40982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_40850]) ).
tcf(c_41010,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_40948]) ).
tcf(c_41014,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_40948]) ).
tcf(c_41022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_40905]) ).
tcf(c_41055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(s(X1)) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_40934]) ).
tcf(c_41103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40918]) ).
tcf(c_41104,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40918]) ).
tcf(c_41105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40918]) ).
tcf(c_41106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_40978]) ).
tcf(c_41113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(X2))
| ~ r(s(X2),X0)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40916]) ).
tcf(c_41114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40916]) ).
tcf(c_41115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40916]) ).
tcf(c_41117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40919]) ).
tcf(c_41118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40919]) ).
tcf(c_41119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40919]) ).
tcf(c_41120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_40980]) ).
tcf(c_41122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_40982]) ).
tcf(c_41123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_40982]) ).
tcf(c_41124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_40982]) ).
tcf(c_41126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40982]) ).
tcf(c_41128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(z),s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_40979]) ).
tcf(c_41130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_40979]) ).
tcf(c_41147,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_40868]) ).
tcf(c_41181,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(X1)))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_40868]) ).
tcf(c_41208,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(z))
| r(s(s(s(X0))),s(z))
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_40751]) ).
tcf(c_41228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(s(X2)) )
| ( s(s(X2)) != s(s(X1)) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_41055]) ).
tcf(c_41244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41114]) ).
tcf(c_41253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41106]) ).
tcf(c_41263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41124]) ).
tcf(c_41265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41128]) ).
tcf(c_41270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(s(X0)))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_41113]) ).
tcf(c_41271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(X0)))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_41113]) ).
tcf(c_41282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41120]) ).
tcf(c_41288,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X1)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_41122]) ).
tcf(c_41290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41122]) ).
tcf(c_41296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(s(z),s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41126]) ).
tcf(c_41298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41126]) ).
tcf(c_41306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41123]) ).
tcf(c_41312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41130]) ).
tcf(c_41313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41130]) ).
tcf(c_41316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41130]) ).
tcf(c_41348,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_41022]) ).
tcf(c_41349,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_41348]) ).
tcf(c_41350,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(X1),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40786]) ).
tcf(c_41353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_40779]) ).
tcf(c_41354,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_41353]) ).
tcf(c_41356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_41113]) ).
tcf(c_41360,plain,
! [X0: $i] :
( b(s(z),s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_40822]) ).
tcf(c_41378,plain,
! [X0: $i] : ~ b(s(s(s(X0))),s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_41413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40869]) ).
tcf(c_41433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(s(X2)) )
| ( s(s(X2)) != s(s(X1)) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_41228]) ).
tcf(c_41439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X2)) = s(s(s(X0))) )
| ( s(s(X2)) != s(s(X1)) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_41228]) ).
tcf(c_41468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41270]) ).
tcf(c_41472,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41288]) ).
tcf(c_41476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41253]) ).
tcf(c_41479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41263]) ).
tcf(c_41482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41265]) ).
tcf(c_41485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41296]) ).
tcf(c_41488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41271]) ).
tcf(c_41489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41271]) ).
tcf(c_41491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41271]) ).
tcf(c_41497,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41282]) ).
tcf(c_41548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(X0),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41290]) ).
tcf(c_41553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41312]) ).
tcf(c_41557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41298]) ).
tcf(c_41560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41298]) ).
tcf(c_41569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41306]) ).
tcf(c_41571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_41306]) ).
tcf(c_41579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41313]) ).
tcf(c_41580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41313]) ).
tcf(c_41581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41313]) ).
tcf(c_41582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41313]) ).
tcf(c_41584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41316]) ).
tcf(c_41587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41316]) ).
tcf(c_41597,plain,
! [X0: $i] :
( b(s(s(s(X0))),z)
| r(s(s(s(X0))),z)
| ( s(s(s(X0))) = z ) ),
inference(instantiation,[status(thm)],[c_40749]) ).
tcf(c_41602,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41022]) ).
tcf(c_41607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41117]) ).
tcf(c_41608,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(X0))),z)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41103]) ).
tcf(c_41609,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_40917]) ).
tcf(c_41611,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_40908]) ).
tcf(c_41612,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_40825]) ).
tcf(c_41613,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41612]) ).
tcf(c_41617,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41244]) ).
tcf(c_41618,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41617]) ).
tcf(c_41621,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41350]) ).
tcf(c_41739,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41472]) ).
tcf(c_41740,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41472]) ).
tcf(c_41746,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41476]) ).
tcf(c_41749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41476]) ).
tcf(c_41752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41489]) ).
tcf(c_41759,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41479]) ).
tcf(c_41760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41479]) ).
tcf(c_41767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41482]) ).
tcf(c_41768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41482]) ).
tcf(c_41773,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41485]) ).
tcf(c_41776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41569]) ).
tcf(c_41787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41579]) ).
tcf(c_41805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41548]) ).
tcf(c_41811,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41553]) ).
tcf(c_41813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41553]) ).
tcf(c_41814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41553]) ).
tcf(c_41865,plain,
! [X0: $i] :
( b(s(X0),s(s(X0)))
| r(s(X0),s(s(X0)))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_39667]) ).
tcf(c_41872,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41580]) ).
tcf(c_41879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41557]) ).
tcf(c_41880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41557]) ).
tcf(c_41881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41557]) ).
tcf(c_41886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41560]) ).
tcf(c_41887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41560]) ).
tcf(c_41888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41560]) ).
tcf(c_41890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41571]) ).
tcf(c_41893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41571]) ).
tcf(c_41904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41581]) ).
tcf(c_41905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41581]) ).
tcf(c_41913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41582]) ).
tcf(c_41914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41582]) ).
tcf(c_41920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41584]) ).
tcf(c_41922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41584]) ).
tcf(c_41927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41587]) ).
tcf(c_41928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41587]) ).
tcf(c_41929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41587]) ).
tcf(c_41934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_41936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,z)
| ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_40791]) ).
tcf(c_41938,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_41106]) ).
tcf(c_41939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40979]) ).
tcf(c_41943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_41947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_40850]) ).
tcf(c_41959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_41106]) ).
tcf(c_41960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40979]) ).
tcf(c_41974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40786]) ).
tcf(c_41976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40779]) ).
tcf(c_41984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41113]) ).
tcf(c_41986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41356]) ).
tcf(c_41995,plain,
! [X0: $i] :
( b(z,s(s(s(X0))))
| r(z,s(s(s(X0))))
| ( z = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_40817]) ).
tcf(c_42047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41607]) ).
tcf(c_42048,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_42047]) ).
tcf(c_42060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41752]) ).
tcf(c_42071,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41872]) ).
tcf(c_42100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41776]) ).
tcf(c_42107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41787]) ).
tcf(c_42112,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41879]) ).
tcf(c_42115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41879]) ).
tcf(c_42134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41904]) ).
tcf(c_42140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41920]) ).
tcf(c_42141,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42140]) ).
tcf(c_42147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41927]) ).
tcf(c_42148,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42147]) ).
tcf(c_42157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41805]) ).
tcf(c_42194,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(X1))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_41181]) ).
tcf(c_42222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41880]) ).
tcf(c_42223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41880]) ).
tcf(c_42235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41881]) ).
tcf(c_42242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41887]) ).
tcf(c_42260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41893]) ).
tcf(c_42262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41893]) ).
tcf(c_42264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41893]) ).
tcf(c_42265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41893]) ).
tcf(c_42272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41890]) ).
tcf(c_42273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41890]) ).
tcf(c_42280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41905]) ).
tcf(c_42281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41905]) ).
tcf(c_42288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41914]) ).
tcf(c_42289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41914]) ).
tcf(c_42301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41922]) ).
tcf(c_42308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41928]) ).
tcf(c_42311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41928]) ).
tcf(c_42321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41929]) ).
tcf(c_42333,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(z),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_41886]) ).
tcf(c_42356,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41497]) ).
tcf(c_42362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(X0))
| ~ b(X2,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41126]) ).
tcf(c_42363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41306]) ).
tcf(c_42364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(X2,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41123]) ).
tcf(c_42418,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_41938]) ).
tcf(c_42432,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42112]) ).
tcf(c_42456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41986]) ).
tcf(c_42469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42060]) ).
tcf(c_42473,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42071]) ).
tcf(c_42485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41489]) ).
tcf(c_42487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41117]) ).
tcf(c_42489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40917]) ).
tcf(c_42495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41244]) ).
tcf(c_42499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42047]) ).
tcf(c_42512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X2)) = s(s(s(X0))) )
| ( s(s(X2)) != s(s(s(X1))) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_41439]) ).
tcf(c_42513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(s(X2)) )
| ( s(s(X2)) != s(s(s(X1))) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_41433]) ).
tcf(c_42517,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_41010]) ).
tcf(c_42534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41976]) ).
tcf(c_42535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41976]) ).
tcf(c_42540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41984]) ).
tcf(c_42545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41936]) ).
tcf(c_42552,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41939]) ).
tcf(c_42564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_42565,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_42567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_42571,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42100]) ).
tcf(c_42573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42100]) ).
tcf(c_42593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42115]) ).
tcf(c_42610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42140]) ).
tcf(c_42621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42147]) ).
tcf(c_42626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42222]) ).
tcf(c_42639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42242]) ).
tcf(c_42657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42262]) ).
tcf(c_42680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42288]) ).
tcf(c_42693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42308]) ).
tcf(c_42704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41934]) ).
tcf(c_42731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41947]) ).
tcf(c_42739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41943]) ).
tcf(c_42746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41943]) ).
tcf(c_42792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42260]) ).
tcf(c_42800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41960]) ).
tcf(c_42801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41960]) ).
tcf(c_42810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42223]) ).
tcf(c_42811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42223]) ).
tcf(c_42857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42235]) ).
tcf(c_42887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42264]) ).
tcf(c_42898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42265]) ).
tcf(c_42905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42272]) ).
tcf(c_42935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42289]) ).
tcf(c_42943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42301]) ).
tcf(c_42944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42301]) ).
tcf(c_42954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42311]) ).
tcf(c_42961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42321]) ).
tcf(c_43035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41126]) ).
tcf(c_43037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41306]) ).
tcf(c_43040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_40764]) ).
tcf(c_43073,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_42517]) ).
tcf(c_43074,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_42517]) ).
tcf(c_43078,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_42517]) ).
tcf(c_43126,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42333]) ).
tcf(c_43184,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42432]) ).
tcf(c_43197,plain,
! [X0: $i] :
( b(s(s(X0)),s(s(s(X0))))
| r(s(s(X0)),s(s(s(X0))))
| ( s(s(X0)) = X0 ) ),
inference(resolution,[status(thm)],[c_41865,c_57]) ).
tcf(c_43208,plain,
! [X0: $i,X1: $i] :
( b(s(X1),s(s(X1)))
| r(s(X1),s(s(X1)))
| ( s(s(X1)) = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_41865,c_73]) ).
tcf(c_43231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42485]) ).
tcf(c_43238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42487]) ).
tcf(c_43265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42499]) ).
tcf(c_43285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X2))) = s(s(s(X0))) )
| ( s(s(s(X2))) != s(s(s(X1))) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_42512]) ).
tcf(c_43362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42534]) ).
tcf(c_43366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42362]) ).
tcf(c_43369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42363]) ).
tcf(c_43430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42593]) ).
tcf(c_43437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42610]) ).
tcf(c_43444,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42621]) ).
tcf(c_43451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42535]) ).
tcf(c_43454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42535]) ).
tcf(c_43459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42540]) ).
tcf(c_43460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42540]) ).
tcf(c_43478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42657]) ).
tcf(c_43499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42680]) ).
tcf(c_43506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42693]) ).
tcf(c_43530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42800]) ).
tcf(c_43664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42364]) ).
tcf(c_43713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42792]) ).
tcf(c_43720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42905]) ).
tcf(c_43730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42739]) ).
tcf(c_43741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42801]) ).
tcf(c_43749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42801]) ).
tcf(c_43760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42943]) ).
tcf(c_43767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42961]) ).
tcf(c_43825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42887]) ).
tcf(c_43833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42898]) ).
tcf(c_43834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42898]) ).
tcf(c_43879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42944]) ).
tcf(c_43880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42944]) ).
tcf(c_43930,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(s(s(z))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_42194]) ).
tcf(c_43947,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_42194]) ).
tcf(c_43961,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_40848]) ).
tcf(c_43992,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(s(X1)))))
| r(s(s(s(X0))),s(s(s(s(X1)))))
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_42194]) ).
tcf(c_44005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43238]) ).
tcf(c_44006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43238]) ).
tcf(c_44015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43035]) ).
tcf(c_44021,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43126]) ).
tcf(c_44032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43459]) ).
tcf(c_44073,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(X1))) )
| ( s(s(s(s(X0)))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_43285]) ).
tcf(c_44124,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_43366]) ).
tcf(c_44127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43366]) ).
tcf(c_44205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43231]) ).
tcf(c_44206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X1))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43231]) ).
tcf(c_44210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43460]) ).
tcf(c_44211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43460]) ).
tcf(c_44213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43460]) ).
tcf(c_44250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43664]) ).
tcf(c_44307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43037]) ).
tcf(c_44323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43730]) ).
tcf(c_44324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43730]) ).
tcf(c_44348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43825]) ).
tcf(c_44515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43834]) ).
tcf(c_44517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43749]) ).
tcf(c_44518,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43720]) ).
tcf(c_44520,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43478]) ).
tcf(c_44522,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43369]) ).
tcf(c_44524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42954]) ).
tcf(c_44527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42935]) ).
tcf(c_44528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42857]) ).
tcf(c_44530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42810]) ).
tcf(c_44532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42731]) ).
tcf(c_44535,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42704]) ).
tcf(c_44536,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42639]) ).
tcf(c_44538,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42545]) ).
tcf(c_44539,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42473]) ).
tcf(c_44543,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42134]) ).
tcf(c_44545,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44543]) ).
tcf(c_44546,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44539]) ).
tcf(c_44547,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44536]) ).
tcf(c_44552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43880]) ).
tcf(c_44553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43879]) ).
tcf(c_44554,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43444]) ).
tcf(c_44555,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43437]) ).
tcf(c_44556,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44555]) ).
tcf(c_44601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(z))))
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_44609,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41468]) ).
tcf(c_44610,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44609]) ).
tcf(c_44623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43454]) ).
tcf(c_44624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43451]) ).
tcf(c_44625,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43362]) ).
tcf(c_44626,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43265]) ).
tcf(c_44627,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42564]) ).
tcf(c_44629,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41621]) ).
tcf(c_44630,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44626]) ).
tcf(c_44663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44005]) ).
tcf(c_44741,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44032]) ).
tcf(c_44742,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44741]) ).
tcf(c_44850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43834]) ).
tcf(c_44851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43833]) ).
tcf(c_44852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43749]) ).
tcf(c_44854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43713]) ).
tcf(c_44857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43369]) ).
tcf(c_44859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42954]) ).
tcf(c_44862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42935]) ).
tcf(c_44864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42811]) ).
tcf(c_44865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42810]) ).
tcf(c_44866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42746]) ).
tcf(c_44867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42731]) ).
tcf(c_44870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42704]) ).
tcf(c_44871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42639]) ).
tcf(c_44873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42545]) ).
tcf(c_44874,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42473]) ).
tcf(c_44875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42281]) ).
tcf(c_44876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42280]) ).
tcf(c_44878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42134]) ).
tcf(c_44891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43506]) ).
tcf(c_44892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43499]) ).
tcf(c_45043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41119]) ).
tcf(c_45044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_45051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41491]) ).
tcf(c_45058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42469]) ).
tcf(c_45059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(z))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42456]) ).
tcf(c_45065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44032]) ).
tcf(c_45067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43451]) ).
tcf(c_45068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43362]) ).
tcf(c_45069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43265]) ).
tcf(c_45070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42564]) ).
tcf(c_45072,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41621]) ).
tcf(c_45151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44127]) ).
tcf(c_45155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44323]) ).
tcf(c_45166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44006]) ).
tcf(c_45169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44006]) ).
tcf(c_45176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44206]) ).
tcf(c_45178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44206]) ).
tcf(c_45185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44210]) ).
tcf(c_45186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44210]) ).
tcf(c_45192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44213]) ).
tcf(c_45197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44015]) ).
tcf(c_45200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44015]) ).
tcf(c_45207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44015]) ).
tcf(c_45208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44015]) ).
tcf(c_45233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44250]) ).
tcf(c_45269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_44307]) ).
tcf(c_45284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44324]) ).
tcf(c_45304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44348]) ).
tcf(c_45305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44348]) ).
tcf(c_45339,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_41208]) ).
tcf(c_45343,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_41147]) ).
tcf(c_45428,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44522]) ).
tcf(c_45500,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44601]) ).
tcf(c_45502,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45500]) ).
tcf(c_45512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45044]) ).
tcf(c_45513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45044]) ).
tcf(c_45535,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44626]) ).
tcf(c_45536,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(s(X1)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_43992]) ).
tcf(c_45618,plain,
! [X0: $i] :
( b(z,s(s(s(s(X0)))))
| r(z,s(s(s(s(X0)))))
| ( z = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_41995]) ).
tcf(c_45728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45051]) ).
tcf(c_45771,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44663]) ).
tcf(c_45772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44663]) ).
tcf(c_45789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45058]) ).
tcf(c_45794,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45059]) ).
tcf(c_45795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45059]) ).
tcf(c_45862,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44527]) ).
tcf(c_45864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44527]) ).
tcf(c_45865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44527]) ).
tcf(c_46033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44873]) ).
tcf(c_46226,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45151]) ).
tcf(c_46235,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45155]) ).
tcf(c_46236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45155]) ).
tcf(c_46240,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45304]) ).
tcf(c_46242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45304]) ).
tcf(c_46378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45166]) ).
tcf(c_46379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(X3))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45166]) ).
tcf(c_46490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45169]) ).
tcf(c_46491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45169]) ).
tcf(c_46496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45178]) ).
tcf(c_46497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45178]) ).
tcf(c_46511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45192]) ).
tcf(c_46512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45192]) ).
tcf(c_46513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45197]) ).
tcf(c_46520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45207]) ).
tcf(c_46535,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45233]) ).
tcf(c_46609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44852]) ).
tcf(c_46610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44852]) ).
tcf(c_46659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45200]) ).
tcf(c_46669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45208]) ).
tcf(c_46699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44862]) ).
tcf(c_46701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44862]) ).
tcf(c_46702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44862]) ).
tcf(c_46785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44867]) ).
tcf(c_46846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45269]) ).
tcf(c_46875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45305]) ).
tcf(c_47071,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44878]) ).
tcf(c_47072,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44873]) ).
tcf(c_47073,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44857]) ).
tcf(c_47074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(X0)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44307]) ).
tcf(c_47086,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41872]) ).
tcf(c_47087,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41579]) ).
tcf(c_47088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44876]) ).
tcf(c_47089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44875]) ).
tcf(c_47099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41581]) ).
tcf(c_47113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_43040]) ).
tcf(c_47118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42573]) ).
tcf(c_47119,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42356]) ).
tcf(c_47120,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42571]) ).
tcf(c_47122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_41959]) ).
tcf(c_47125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41813]) ).
tcf(c_47126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41760]) ).
tcf(c_47135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42157]) ).
tcf(c_47136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41814]) ).
tcf(c_47138,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41811]) ).
tcf(c_47139,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41746]) ).
tcf(c_47140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41413]) ).
tcf(c_47163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41119]) ).
tcf(c_47164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_47165,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41105]) ).
tcf(c_47166,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41118]) ).
tcf(c_47167,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41104]) ).
tcf(c_47178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45051]) ).
tcf(c_47316,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_45233]) ).
tcf(c_47321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43834]) ).
tcf(c_47322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43833]) ).
tcf(c_47324,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43720]) ).
tcf(c_47325,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43713]) ).
tcf(c_47326,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43478]) ).
tcf(c_47327,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_43430]) ).
tcf(c_47342,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42639]) ).
tcf(c_47343,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42626]) ).
tcf(c_47344,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42545]) ).
tcf(c_47345,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42473]) ).
tcf(c_47349,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42134]) ).
tcf(c_47350,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_42107]) ).
tcf(c_47380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44532]) ).
tcf(c_47381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44517]) ).
tcf(c_47385,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44538]) ).
tcf(c_47535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41119]) ).
tcf(c_47536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_47581,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42047]) ).
tcf(c_47583,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43238]) ).
tcf(c_47586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42495]) ).
tcf(c_47587,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41617]) ).
tcf(c_47589,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47587]) ).
tcf(c_47632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41976]) ).
tcf(c_47633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_42047]) ).
tcf(c_47635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43238]) ).
tcf(c_47813,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46240]) ).
tcf(c_47861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44873]) ).
tcf(c_47865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41913]) ).
tcf(c_47867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_43530]) ).
tcf(c_47869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41960]) ).
tcf(c_47870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41939]) ).
tcf(c_47873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41579]) ).
tcf(c_47879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44876]) ).
tcf(c_47880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44875]) ).
tcf(c_47882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44852]) ).
tcf(c_47885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43741]) ).
tcf(c_47888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41880]) ).
tcf(c_48025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_48032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41491]) ).
tcf(c_48033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41468]) ).
tcf(c_48040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45051]) ).
tcf(c_48093,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_43074]) ).
tcf(c_48223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46033]) ).
tcf(c_48269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46236]) ).
tcf(c_48279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46242]) ).
tcf(c_48289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45513]) ).
tcf(c_48298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45513]) ).
tcf(c_48361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46497]) ).
tcf(c_48379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46513]) ).
tcf(c_48396,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46520]) ).
tcf(c_48410,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46609]) ).
tcf(c_48458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46699]) ).
tcf(c_48491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46610]) ).
tcf(c_48494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46610]) ).
tcf(c_48504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46610]) ).
tcf(c_48517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46659]) ).
tcf(c_48548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46701]) ).
tcf(c_48559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46702]) ).
tcf(c_48564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46785]) ).
tcf(c_48567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46785]) ).
tcf(c_48577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46785]) ).
tcf(c_48613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46875]) ).
tcf(c_48648,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_48093]) ).
tcf(c_48649,plain,
! [X0: $i] :
( ( s(s(s(z))) = s(s(s(s(X0)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_48093]) ).
tcf(c_48650,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(s(s(X1))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_48093]) ).
tcf(c_48969,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47087]) ).
tcf(c_48984,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47120]) ).
tcf(c_48985,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48984]) ).
tcf(c_49065,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47385]) ).
tcf(c_49085,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47164]) ).
tcf(c_49086,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49085]) ).
tcf(c_49087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47164]) ).
tcf(c_49319,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47138]) ).
tcf(c_49320,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49319]) ).
tcf(c_49369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48025]) ).
tcf(c_49370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48025]) ).
tcf(c_49826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47099]) ).
tcf(c_49845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47118]) ).
tcf(c_49872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_47122]) ).
tcf(c_50044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47380]) ).
tcf(c_50065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47381]) ).
tcf(c_50210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47867]) ).
tcf(c_50232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_47870]) ).
tcf(c_50254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47873]) ).
tcf(c_50279,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48223]) ).
tcf(c_50280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48223]) ).
tcf(c_50306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48564]) ).
tcf(c_50698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_47869]) ).
tcf(c_50974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47885]) ).
tcf(c_51093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48504]) ).
tcf(c_51094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48504]) ).
tcf(c_51147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48567]) ).
tcf(c_51157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48577]) ).
tcf(c_51192,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_45536]) ).
tcf(c_51215,plain,
! [X0: $i] :
( b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_45536]) ).
tcf(c_51329,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(s(s(X1))))))
| r(s(s(s(s(X0)))),s(s(s(s(s(X1))))))
| ( s(s(s(s(X0)))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_45536]) ).
tcf(c_51386,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48969]) ).
tcf(c_51387,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51386]) ).
tcf(c_51924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49826]) ).
tcf(c_52011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50210]) ).
tcf(c_52023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_50232]) ).
tcf(c_52061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_50698]) ).
tcf(c_52070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50254]) ).
tcf(c_52339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50974]) ).
tcf(c_52609,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44553]) ).
tcf(c_52610,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44552]) ).
tcf(c_52611,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44554]) ).
tcf(c_52612,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52611]) ).
tcf(c_52613,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52610]) ).
tcf(c_52640,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47865]) ).
tcf(c_52642,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47135]) ).
tcf(c_52646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51147]) ).
tcf(c_52650,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51093]) ).
tcf(c_52654,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50279]) ).
tcf(c_52661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47880]) ).
tcf(c_52662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47879]) ).
tcf(c_52668,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47089]) ).
tcf(c_52669,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47088]) ).
tcf(c_52673,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47813]) ).
tcf(c_52674,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47072]) ).
tcf(c_52675,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47071]) ).
tcf(c_52678,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52675]) ).
tcf(c_52679,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52674]) ).
tcf(c_52680,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52668]) ).
tcf(c_52681,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52654]) ).
tcf(c_52682,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52650]) ).
tcf(c_52709,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44515]) ).
tcf(c_52711,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52709]) ).
tcf(c_52729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44850]) ).
tcf(c_52732,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44524]) ).
tcf(c_52735,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52732]) ).
tcf(c_52737,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47136]) ).
tcf(c_52739,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52737]) ).
tcf(c_52752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44859]) ).
tcf(c_52928,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44553]) ).
tcf(c_52929,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44552]) ).
tcf(c_52930,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44554]) ).
tcf(c_52931,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52930]) ).
tcf(c_52932,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52929]) ).
tcf(c_52959,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47865]) ).
tcf(c_52963,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47139]) ).
tcf(c_52964,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52963]) ).
tcf(c_52966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51147]) ).
tcf(c_52967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51157]) ).
tcf(c_52968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51094]) ).
tcf(c_52970,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51093]) ).
tcf(c_52972,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50306]) ).
tcf(c_52973,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50280]) ).
tcf(c_52974,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50279]) ).
tcf(c_52976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48613]) ).
tcf(c_52977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48559]) ).
tcf(c_52978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48548]) ).
tcf(c_52979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47882]) ).
tcf(c_52981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47880]) ).
tcf(c_52982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47879]) ).
tcf(c_52988,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47089]) ).
tcf(c_52990,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48279]) ).
tcf(c_52991,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47861]) ).
tcf(c_52993,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47813]) ).
tcf(c_52995,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47071]) ).
tcf(c_52998,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52995]) ).
tcf(c_53000,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52993]) ).
tcf(c_53001,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52988]) ).
tcf(c_53002,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52974]) ).
tcf(c_53003,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52970]) ).
tcf(c_53015,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44870]) ).
tcf(c_53029,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44528]) ).
tcf(c_53030,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44515]) ).
tcf(c_53032,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53030]) ).
tcf(c_53053,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44524]) ).
tcf(c_53056,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53053]) ).
tcf(c_53058,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47136]) ).
tcf(c_53060,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53058]) ).
tcf(c_53073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44859]) ).
tcf(c_53304,plain,
! [X0: $i] : ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X0)))))),
inference(instantiation,[status(thm)],[c_41378]) ).
tcf(c_53421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44553]) ).
tcf(c_53422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44552]) ).
tcf(c_53450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47865]) ).
tcf(c_53452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47135]) ).
tcf(c_53456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51157]) ).
tcf(c_53457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51094]) ).
tcf(c_53459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51093]) ).
tcf(c_53461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50306]) ).
tcf(c_53463,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50279]) ).
tcf(c_53465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48613]) ).
tcf(c_53466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48559]) ).
tcf(c_53468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47882]) ).
tcf(c_53470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47880]) ).
tcf(c_53474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48458]) ).
tcf(c_53477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47089]) ).
tcf(c_53478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47088]) ).
tcf(c_53482,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47813]) ).
tcf(c_53483,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47072]) ).
tcf(c_53489,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44535]) ).
tcf(c_53512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44528]) ).
tcf(c_53513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44515]) ).
tcf(c_53532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44850]) ).
tcf(c_53535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44524]) ).
tcf(c_53539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47136]) ).
tcf(c_53553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44859]) ).
tcf(c_53613,plain,
! [X0: $i] :
( b(s(s(X0)),s(X0))
| r(s(s(X0)),s(X0))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_39668]) ).
tcf(c_53852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51147]) ).
tcf(c_53854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51094]) ).
tcf(c_53862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48613]) ).
tcf(c_53863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48559]) ).
tcf(c_53867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_47880]) ).
tcf(c_53929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44850]) ).
tcf(c_53936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_47136]) ).
tcf(c_53950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44859]) ).
tcf(c_54174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_52061]) ).
tcf(c_54232,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| ( s(s(s(s(s(X0))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_40949]) ).
tcf(c_54241,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(z))
| r(s(s(s(s(s(X0))))),s(z))
| ( s(s(s(s(s(X0))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_45339]) ).
tcf(c_54376,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47587]) ).
tcf(c_54377,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54376]) ).
tcf(c_54378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47635]) ).
tcf(c_54380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47632]) ).
tcf(c_54383,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_54386,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45185]) ).
tcf(c_54388,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44627]) ).
tcf(c_54390,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54388]) ).
tcf(c_54391,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54386]) ).
tcf(c_54392,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54383]) ).
tcf(c_54393,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54380]) ).
tcf(c_54396,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47166]) ).
tcf(c_54398,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54396]) ).
tcf(c_54405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46491]) ).
tcf(c_54408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45186]) ).
tcf(c_54415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48298]) ).
tcf(c_54416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48040]) ).
tcf(c_54421,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47178]) ).
tcf(c_54422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46512]) ).
tcf(c_54425,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45795]) ).
tcf(c_54426,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45789]) ).
tcf(c_54427,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45728]) ).
tcf(c_54428,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45794]) ).
tcf(c_54429,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45535]) ).
tcf(c_54430,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54428]) ).
tcf(c_54431,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54427]) ).
tcf(c_54432,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54415]) ).
tcf(c_54454,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(z))))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_43930]) ).
tcf(c_54561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47632]) ).
tcf(c_54567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45185]) ).
tcf(c_54568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44624]) ).
tcf(c_54581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46491]) ).
tcf(c_54586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45067]) ).
tcf(c_54887,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52973]) ).
tcf(c_54888,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(s(X1))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(s(X1))))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_51329]) ).
tcf(c_55866,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( s(s(X0)) = X0 ) ),
inference(resolution,[status(thm)],[c_53613,c_57]) ).
tcf(c_55868,plain,
! [X0: $i] :
( b(s(s(X0)),s(X0))
| r(s(s(X0)),s(X0))
| ( X0 = s(s(X0)) ) ),
inference(resolution,[status(thm)],[c_53613,c_130]) ).
tcf(c_55919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52981]) ).
tcf(c_56112,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( X0 = s(s(X0)) ) ),
inference(resolution,[status(thm)],[c_55868,c_57]) ).
tcf(c_56714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53867]) ).
tcf(c_56816,plain,
! [X0: $i] :
( b(z,s(s(s(s(s(X0))))))
| r(z,s(s(s(s(s(X0))))))
| ( z = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_45618]) ).
tcf(c_56837,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41103]) ).
tcf(c_56844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42540]) ).
tcf(c_56845,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56844]) ).
tcf(c_56846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49370]) ).
tcf(c_56847,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49369]) ).
tcf(c_56849,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_56847]) ).
tcf(c_56855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48032]) ).
tcf(c_56856,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48033]) ).
tcf(c_56857,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_56856]) ).
tcf(c_56864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43231]) ).
tcf(c_56865,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56864]) ).
tcf(c_56867,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42469]) ).
tcf(c_56868,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42456]) ).
tcf(c_56883,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47587]) ).
tcf(c_56884,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_56883]) ).
tcf(c_56885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47635]) ).
tcf(c_56890,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_56891,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46378]) ).
tcf(c_56897,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47163]) ).
tcf(c_56905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45043]) ).
tcf(c_56911,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45070]) ).
tcf(c_56951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_47632]) ).
tcf(c_56953,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_47581]) ).
tcf(c_56956,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45771]) ).
tcf(c_56960,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44626]) ).
tcf(c_56961,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56960]) ).
tcf(c_56962,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56956]) ).
tcf(c_56963,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_56953]) ).
tcf(c_56964,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_56951]) ).
tcf(c_56967,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47166]) ).
tcf(c_56969,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56967]) ).
tcf(c_56974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45043]) ).
tcf(c_56976,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56974]) ).
tcf(c_56977,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44741]) ).
tcf(c_56979,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44629]) ).
tcf(c_56980,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56979]) ).
tcf(c_56981,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56977]) ).
tcf(c_56982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46491]) ).
tcf(c_56984,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45772]) ).
tcf(c_56988,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45069]) ).
tcf(c_56990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45065]) ).
tcf(c_56991,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45072]) ).
tcf(c_57032,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(s(X0))))))
| r(s(z),s(s(s(s(s(X0))))))
| ( s(z) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_41360]) ).
tcf(c_57065,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_43073]) ).
tcf(c_57066,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_57065]) ).
tcf(c_57137,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_43947]) ).
tcf(c_57138,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54383]) ).
tcf(c_57140,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54383]) ).
tcf(c_57142,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57140]) ).
tcf(c_57197,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(z)),s(s(s(s(s(X0))))))
| ( s(s(z)) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_45343]) ).
tcf(c_57318,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54567]) ).
tcf(c_57336,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54568]) ).
tcf(c_57438,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(X1))) )
| ( s(s(s(s(s(X0))))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_44073]) ).
tcf(c_57489,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(s(s(s(X1)))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_48650]) ).
tcf(c_57507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41489]) ).
tcf(c_57508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41488]) ).
tcf(c_57509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41117]) ).
tcf(c_57510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41103]) ).
tcf(c_57511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40917]) ).
tcf(c_57513,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40908]) ).
tcf(c_57514,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40825]) ).
tcf(c_57518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49370]) ).
tcf(c_57519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49369]) ).
tcf(c_57520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41244]) ).
tcf(c_57522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_57526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48032]) ).
tcf(c_57527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48033]) ).
tcf(c_57534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43231]) ).
tcf(c_57539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42469]) ).
tcf(c_57540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42456]) ).
tcf(c_57555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47586]) ).
tcf(c_57557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47635]) ).
tcf(c_57562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_57588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45186]) ).
tcf(c_57589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45070]) ).
tcf(c_57649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_47635]) ).
tcf(c_57652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_47583]) ).
tcf(c_57654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_57655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46378]) ).
tcf(c_57664,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47166]) ).
tcf(c_57670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54568]) ).
tcf(c_57678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46491]) ).
tcf(c_57679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(X3))
| ~ r(s(X3),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46379]) ).
tcf(c_57682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45070]) ).
tcf(c_57913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54586]) ).
tcf(c_57986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_55919]) ).
tcf(c_58264,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),z)
| r(s(s(s(s(s(X0))))),z)
| ( s(s(s(s(s(X0))))) = z ) ),
inference(instantiation,[status(thm)],[c_41597]) ).
tcf(c_58320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45051]) ).
tcf(c_58321,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58320]) ).
tcf(c_58329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45169]) ).
tcf(c_58330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45166]) ).
tcf(c_58332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44210]) ).
tcf(c_58333,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44032]) ).
tcf(c_58334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43454]) ).
tcf(c_58335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43451]) ).
tcf(c_58336,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43362]) ).
tcf(c_58337,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43265]) ).
tcf(c_58338,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42564]) ).
tcf(c_58341,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58337]) ).
tcf(c_58342,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58336]) ).
tcf(c_58343,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58333]) ).
tcf(c_58345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45192]) ).
tcf(c_58346,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45059]) ).
tcf(c_58347,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45058]) ).
tcf(c_58348,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58347]) ).
tcf(c_58351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45178]) ).
tcf(c_58352,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45176]) ).
tcf(c_58353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44213]) ).
tcf(c_58354,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44211]) ).
tcf(c_58355,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58354]) ).
tcf(c_58356,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58352]) ).
tcf(c_58379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X2)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47535]) ).
tcf(c_58380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47536]) ).
tcf(c_58381,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58379]) ).
tcf(c_58394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46496]) ).
tcf(c_58405,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54567]) ).
tcf(c_58410,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = z )
| ( z != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_40757]) ).
tcf(c_58411,plain,
( ( s(s(s(s(s(z))))) = z )
| ( z != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_58410]) ).
tcf(c_58498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43037]) ).
tcf(c_58506,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_58498]) ).
tcf(c_58513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42887]) ).
tcf(c_58541,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_42147]) ).
tcf(c_58542,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_42140]) ).
tcf(c_58546,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58542]) ).
tcf(c_58547,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58541]) ).
tcf(c_58566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48379]) ).
tcf(c_58569,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44021]) ).
tcf(c_58571,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43184]) ).
tcf(c_58575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41767]) ).
tcf(c_58578,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41773]) ).
tcf(c_58580,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41759]) ).
tcf(c_58582,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41740]) ).
tcf(c_58583,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41739]) ).
tcf(c_58588,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_58575]) ).
tcf(c_58589,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58571]) ).
tcf(c_58590,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58569]) ).
tcf(c_58593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51924]) ).
tcf(c_58594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(s(s(X2)))),X1)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_49872]) ).
tcf(c_58595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_49845]) ).
tcf(c_58596,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58595]) ).
tcf(c_58597,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58594]) ).
tcf(c_58598,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58593]) ).
tcf(c_58602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48491]) ).
tcf(c_58603,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48410]) ).
tcf(c_58607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41768]) ).
tcf(c_58608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41749]) ).
tcf(c_58615,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58603]) ).
tcf(c_58624,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44535]) ).
tcf(c_58625,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58624]) ).
tcf(c_58638,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44530]) ).
tcf(c_58639,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58638]) ).
tcf(c_58662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44865]) ).
tcf(c_58665,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52979]) ).
tcf(c_58801,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54421]) ).
tcf(c_58802,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58801]) ).
tcf(c_58810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54378]) ).
tcf(c_58812,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58810]) ).
tcf(c_58816,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54405]) ).
tcf(c_58875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54561]) ).
tcf(c_58880,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_58883,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54378]) ).
tcf(c_58885,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58883]) ).
tcf(c_58896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54581]) ).
tcf(c_58969,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56837]) ).
tcf(c_58970,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58969]) ).
tcf(c_59001,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56911]) ).
tcf(c_59114,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_57438]) ).
tcf(c_59115,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_43961]) ).
tcf(c_59116,plain,
( ( s(s(s(s(s(z))))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_59114]) ).
tcf(c_59117,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_59115]) ).
tcf(c_59245,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) )
| ( s(s(s(s(s(s(X0)))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_57489]) ).
tcf(c_59246,plain,
( ( s(s(s(s(s(z))))) = s(s(s(s(z)))) )
| ( s(s(s(s(s(s(z)))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_59245]) ).
tcf(c_59247,plain,
! [X0: $i] :
( ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_57489]) ).
tcf(c_59248,plain,
( ( s(s(s(s(z)))) = s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_59247]) ).
tcf(c_59487,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56846]) ).
tcf(c_59488,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59487]) ).
tcf(c_59489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_56846]) ).
tcf(c_59539,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56855]) ).
tcf(c_59540,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_59539]) ).
tcf(c_59726,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57138]) ).
tcf(c_59886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45169]) ).
tcf(c_59887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45166]) ).
tcf(c_59888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44663]) ).
tcf(c_59889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44210]) ).
tcf(c_59890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44032]) ).
tcf(c_59893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43362]) ).
tcf(c_59894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43265]) ).
tcf(c_59895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42564]) ).
tcf(c_59897,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41621]) ).
tcf(c_59898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46497]) ).
tcf(c_59899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45192]) ).
tcf(c_59900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45059]) ).
tcf(c_59901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45058]) ).
tcf(c_59904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45176]) ).
tcf(c_59906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44211]) ).
tcf(c_60115,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = X1 )
| ( X1 != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_40785]) ).
tcf(c_60201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42887]) ).
tcf(c_60204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41928]) ).
tcf(c_60222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42273]) ).
tcf(c_60223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41929]) ).
tcf(c_60224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41922]) ).
tcf(c_60227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48494]) ).
tcf(c_60232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41888]) ).
tcf(c_60233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41881]) ).
tcf(c_60248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52339]) ).
tcf(c_60249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52070]) ).
tcf(c_60250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(X0))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52023]) ).
tcf(c_60251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52011]) ).
tcf(c_60268,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44535]) ).
tcf(c_60272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(s(X0),s(z))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_47113]) ).
tcf(c_60273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47126]) ).
tcf(c_60274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46669]) ).
tcf(c_60283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48517]) ).
tcf(c_60285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44854]) ).
tcf(c_60293,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44520]) ).
tcf(c_60298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_47888]) ).
tcf(c_60302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45284]) ).
tcf(c_60303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44866]) ).
tcf(c_60304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44865]) ).
tcf(c_60306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44851]) ).
tcf(c_60322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52979]) ).
tcf(c_60482,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56897]) ).
tcf(c_60492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54416]) ).
tcf(c_60497,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56891]) ).
tcf(c_60498,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56890]) ).
tcf(c_60501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54378]) ).
tcf(c_60503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54422]) ).
tcf(c_60651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54561]) ).
tcf(c_61031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57562]) ).
tcf(c_61211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57654]) ).
tcf(c_61212,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61211]) ).
tcf(c_61234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57655]) ).
tcf(c_61235,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61234]) ).
tcf(c_61442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56864]) ).
tcf(c_61466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56885]) ).
tcf(c_61573,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57510]) ).
tcf(c_61575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57510]) ).
tcf(c_61618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57589]) ).
tcf(c_61813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57507]) ).
tcf(c_61814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57507]) ).
tcf(c_61815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57507]) ).
tcf(c_61840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57509]) ).
tcf(c_61841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57509]) ).
tcf(c_61888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57518]) ).
tcf(c_61967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(X3)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57526]) ).
tcf(c_62015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X3)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57534]) ).
tcf(c_62039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57557]) ).
tcf(c_62078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57588]) ).
tcf(c_62153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57649]) ).
tcf(c_62154,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_62153]) ).
tcf(c_62212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57678]) ).
tcf(c_62234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57679]) ).
tcf(c_62408,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z))))))
| ( s(s(s(s(s(s(X0)))))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_54888]) ).
tcf(c_62409,plain,
( b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z))))))
| ( s(s(s(s(s(s(z)))))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_62408]) ).
tcf(c_62440,plain,
! [X0: $i] :
( b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ( s(s(s(s(s(z))))) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_54888]) ).
tcf(c_62441,plain,
( b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| r(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ( s(s(s(s(s(z))))) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_62440]) ).
tcf(c_62461,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_62462,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_62461]) ).
tcf(c_62999,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1))))))
| r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1))))))
| ( s(s(s(s(s(s(X0)))))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_54888]) ).
tcf(c_63110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58329]) ).
tcf(c_63130,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58330]) ).
tcf(c_63131,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63130]) ).
tcf(c_63172,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58338]) ).
tcf(c_63251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58345]) ).
tcf(c_63252,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63251]) ).
tcf(c_63253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58345]) ).
tcf(c_63301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58394]) ).
tcf(c_63536,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58665]) ).
tcf(c_63575,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58816]) ).
tcf(c_63576,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63575]) ).
tcf(c_63651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_59489]) ).
tcf(c_63791,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60482]) ).
tcf(c_63802,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60497]) ).
tcf(c_63819,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60498]) ).
tcf(c_63910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58332]) ).
tcf(c_63933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58335]) ).
tcf(c_64084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58380]) ).
tcf(c_64085,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_64084]) ).
tcf(c_64095,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(z) )
| ( s(z) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_60115]) ).
tcf(c_64097,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_40748]) ).
tcf(c_64098,plain,
( ( s(s(s(s(s(z))))) = s(z) )
| ( s(z) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_64095]) ).
tcf(c_64174,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_64177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_64230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58896]) ).
tcf(c_64580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59895]) ).
tcf(c_64596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61031]) ).
tcf(c_64627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61211]) ).
tcf(c_64694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58351]) ).
tcf(c_64716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58353]) ).
tcf(c_64811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58593]) ).
tcf(c_64898,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58607]) ).
tcf(c_64920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58608]) ).
tcf(c_65031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59886]) ).
tcf(c_65117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_60273]) ).
tcf(c_65118,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_65117]) ).
tcf(c_65172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60492]) ).
tcf(c_65205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60503]) ).
tcf(c_65215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60503]) ).
tcf(c_65345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61442]) ).
tcf(c_65376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59887]) ).
tcf(c_65377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59887]) ).
tcf(c_65378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59887]) ).
tcf(c_65401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59889]) ).
tcf(c_65578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61575]) ).
tcf(c_65579,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65578]) ).
tcf(c_65761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58662]) ).
tcf(c_65802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59898]) ).
tcf(c_65823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59899]) ).
tcf(c_65824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(s(X3)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_59899]) ).
tcf(c_65976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60232]) ).
tcf(c_66025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60272]) ).
tcf(c_66026,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66025]) ).
tcf(c_66141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60322]) ).
tcf(c_66275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60651]) ).
tcf(c_66277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(s(X1))))))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60651]) ).
tcf(c_66380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60233]) ).
tcf(c_66426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X3)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61814]) ).
tcf(c_66470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61840]) ).
tcf(c_66487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61841]) ).
tcf(c_66532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61888]) ).
tcf(c_66637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62015]) ).
tcf(c_66897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60222]) ).
tcf(c_66920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60223]) ).
tcf(c_66986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60224]) ).
tcf(c_67052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60248]) ).
tcf(c_67268,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41609]) ).
tcf(c_67269,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41608]) ).
tcf(c_67270,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41611]) ).
tcf(c_67271,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41602]) ).
tcf(c_67272,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_41348]) ).
tcf(c_67273,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_67272]) ).
tcf(c_67274,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67271]) ).
tcf(c_67275,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67270]) ).
tcf(c_67276,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67268]) ).
tcf(c_67279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42567]) ).
tcf(c_67280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42489]) ).
tcf(c_67282,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42565]) ).
tcf(c_67286,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67282]) ).
tcf(c_67293,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44625]) ).
tcf(c_67294,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67293]) ).
tcf(c_67296,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47167]) ).
tcf(c_67300,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67296]) ).
tcf(c_67301,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44623]) ).
tcf(c_67334,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_40752]) ).
tcf(c_67335,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_67334]) ).
tcf(c_67589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_62078]) ).
tcf(c_67594,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_59726]) ).
tcf(c_67596,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58405]) ).
tcf(c_67597,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_59001]) ).
tcf(c_67598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(z))))),s(X2))
| ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57913]) ).
tcf(c_67602,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57670]) ).
tcf(c_67605,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57336]) ).
tcf(c_67606,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57318]) ).
tcf(c_67607,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67606]) ).
tcf(c_67608,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67605]) ).
tcf(c_67609,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67602]) ).
tcf(c_67610,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67597]) ).
tcf(c_67611,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67596]) ).
tcf(c_67612,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67594]) ).
tcf(c_67613,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67589]) ).
tcf(c_67792,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_41014]) ).
tcf(c_67793,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_67792]) ).
tcf(c_68141,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53539]) ).
tcf(c_68142,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53452]) ).
tcf(c_68144,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53461]) ).
tcf(c_68146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53553]) ).
tcf(c_68147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53532]) ).
tcf(c_68151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53470]) ).
tcf(c_68153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53466]) ).
tcf(c_68154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53465]) ).
tcf(c_68155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53457]) ).
tcf(c_68156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53456]) ).
tcf(c_68160,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53535]) ).
tcf(c_68161,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53513]) ).
tcf(c_68162,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(s(z))))))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53512]) ).
tcf(c_68165,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53478]) ).
tcf(c_68166,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53477]) ).
tcf(c_68170,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53459]) ).
tcf(c_68172,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53450]) ).
tcf(c_68173,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53422]) ).
tcf(c_68174,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53421]) ).
tcf(c_68175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53468]) ).
tcf(c_68180,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53489]) ).
tcf(c_68181,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53483]) ).
tcf(c_68182,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53482]) ).
tcf(c_68183,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53463]) ).
tcf(c_68184,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68183]) ).
tcf(c_68185,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68182]) ).
tcf(c_68186,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68181]) ).
tcf(c_68187,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68180]) ).
tcf(c_68188,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68175]) ).
tcf(c_68189,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68174]) ).
tcf(c_68190,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68173]) ).
tcf(c_68191,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68172]) ).
tcf(c_68192,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68170]) ).
tcf(c_68193,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68166]) ).
tcf(c_68194,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68165]) ).
tcf(c_68195,plain,
( ~ b(z,s(s(s(s(s(z))))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68162]) ).
tcf(c_68196,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68161]) ).
tcf(c_68197,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68160]) ).
tcf(c_68200,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68142]) ).
tcf(c_68201,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68141]) ).
tcf(c_68202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60298]) ).
tcf(c_68203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60204]) ).
tcf(c_68206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60201]) ).
tcf(c_68211,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58575]) ).
tcf(c_68216,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52982]) ).
tcf(c_68217,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52966]) ).
tcf(c_68218,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68217]) ).
tcf(c_68219,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68216]) ).
tcf(c_68220,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68211]) ).
tcf(c_68221,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68206]) ).
tcf(c_68228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60306]) ).
tcf(c_68229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60304]) ).
tcf(c_68230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(z))))),X2)
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60303]) ).
tcf(c_68231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60302]) ).
tcf(c_68232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(X1,s(s(s(s(s(z))))))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60283]) ).
tcf(c_68233,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58566]) ).
tcf(c_68236,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52978]) ).
tcf(c_68237,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52977]) ).
tcf(c_68238,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52976]) ).
tcf(c_68239,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(X1,s(s(s(s(s(z))))))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52968]) ).
tcf(c_68240,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(z))))),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52967]) ).
tcf(c_68242,plain,
! [X0: $i] :
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53015]) ).
tcf(c_68244,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68242]) ).
tcf(c_68246,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68240]) ).
tcf(c_68247,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68239]) ).
tcf(c_68248,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68238]) ).
tcf(c_68249,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68237]) ).
tcf(c_68250,plain,
( ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68236]) ).
tcf(c_68251,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68233]) ).
tcf(c_68252,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68232]) ).
tcf(c_68254,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68230]) ).
tcf(c_68255,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68229]) ).
tcf(c_68272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60227]) ).
tcf(c_68273,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58602]) ).
tcf(c_68277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53852]) ).
tcf(c_68278,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68273]) ).
tcf(c_68302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53950]) ).
tcf(c_68303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53929]) ).
tcf(c_68307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53863]) ).
tcf(c_68308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53862]) ).
tcf(c_68309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(z))))))
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53854]) ).
tcf(c_68313,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68303]) ).
tcf(c_68314,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_68302]) ).
tcf(c_69027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54561]) ).
tcf(c_69029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54561]) ).
tcf(c_69030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),z)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54561]) ).
tcf(c_69091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57508]) ).
tcf(c_69092,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69091]) ).
tcf(c_69108,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57513]) ).
tcf(c_69109,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69108]) ).
tcf(c_69112,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57513]) ).
tcf(c_69113,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69112]) ).
tcf(c_69149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63110]) ).
tcf(c_69168,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63172]) ).
tcf(c_69189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63253]) ).
tcf(c_69560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(s(X2)) )
| ( s(s(X2)) != s(s(s(s(s(X1))))) )
| ( s(s(s(X0))) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_42513]) ).
tcf(c_69622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57519]) ).
tcf(c_69623,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69622]) ).
tcf(c_69644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57520]) ).
tcf(c_69645,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69644]) ).
tcf(c_69718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57555]) ).
tcf(c_69719,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69718]) ).
tcf(c_69747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57652]) ).
tcf(c_69748,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69747]) ).
tcf(c_69816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42485]) ).
tcf(c_69823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41752]) ).
tcf(c_69825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_41356]) ).
tcf(c_69844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47163]) ).
tcf(c_69854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_69855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54568]) ).
tcf(c_69860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45068]) ).
tcf(c_70148,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(s(X0)))))))
| ( s(s(s(s(s(s(X0)))))) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_62999]) ).
tcf(c_70149,plain,
! [X0: $i] : ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(s(X0))))))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_70150,plain,
( b(s(s(s(s(s(s(z)))))),s(s(s(s(s(s(z)))))))
| r(s(s(s(s(s(s(z)))))),s(s(s(s(s(s(z)))))))
| ( s(s(s(s(s(s(z)))))) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_70148]) ).
tcf(c_70151,plain,
~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(s(z))))))),
inference(instantiation,[status(thm)],[c_70149]) ).
tcf(c_70820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_53474]) ).
tcf(c_71040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63910]) ).
tcf(c_71076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63933]) ).
tcf(c_71714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57507]) ).
tcf(c_71737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57509]) ).
tcf(c_71796,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64596]) ).
tcf(c_71797,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_71796]) ).
tcf(c_71825,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64627]) ).
tcf(c_71826,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_71825]) ).
tcf(c_71897,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57510]) ).
tcf(c_71919,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57511]) ).
tcf(c_71920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57511]) ).
tcf(c_71970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60501]) ).
tcf(c_72026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_64084]) ).
tcf(c_72027,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_72026]) ).
tcf(c_72164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57522]) ).
tcf(c_72271,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_65117]) ).
tcf(c_72272,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_72271]) ).
tcf(c_72286,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_65172]) ).
tcf(c_72287,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72286]) ).
tcf(c_72315,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_65215]) ).
tcf(c_72375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_65578]) ).
tcf(c_72417,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66275]) ).
tcf(c_72418,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72417]) ).
tcf(c_72507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57518]) ).
tcf(c_72511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57518]) ).
tcf(c_72689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62039]) ).
tcf(c_72794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_65377]) ).
tcf(c_72796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X2)))),s(X3))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_65377]) ).
tcf(c_72964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X3)))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_65823]) ).
tcf(c_73221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(X2)))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66277]) ).
tcf(c_73222,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73221]) ).
tcf(c_73267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(X2)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66426]) ).
tcf(c_73268,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73267]) ).
tcf(c_73345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66532]) ).
tcf(c_73346,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73345]) ).
tcf(c_73374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X2)))
| ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66637]) ).
tcf(c_74189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61815]) ).
tcf(c_74190,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74189]) ).
tcf(c_74208,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42469]) ).
tcf(c_74209,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42456]) ).
tcf(c_74210,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74209]) ).
tcf(c_74211,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74208]) ).
tcf(c_74227,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44663]) ).
tcf(c_74229,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44032]) ).
tcf(c_74237,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74229]) ).
tcf(c_74240,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45059]) ).
tcf(c_74241,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45058]) ).
tcf(c_74242,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74240]) ).
tcf(c_74255,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47633]) ).
tcf(c_74259,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_74261,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45771]) ).
tcf(c_74265,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44626]) ).
tcf(c_74266,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74255]) ).
tcf(c_74275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63301]) ).
tcf(c_74283,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74275]) ).
tcf(c_74292,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_74299,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74292]) ).
tcf(c_74301,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60498]) ).
tcf(c_74302,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57138]) ).
tcf(c_74307,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74302]) ).
tcf(c_74888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47632]) ).
tcf(c_74891,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46490]) ).
tcf(c_74898,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74891]) ).
tcf(c_74907,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58875]) ).
tcf(c_74917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(z)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45186]) ).
tcf(c_74932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48298]) ).
tcf(c_74938,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47178]) ).
tcf(c_74939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46512]) ).
tcf(c_74945,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45794]) ).
tcf(c_74947,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74945]) ).
tcf(c_74948,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74932]) ).
tcf(c_74952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_66470]) ).
tcf(c_75099,plain,
! [X0: $i] :
( b(z,s(s(s(s(s(s(X0)))))))
| r(z,s(s(s(s(s(s(X0)))))))
| ( z = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_56816]) ).
tcf(c_75100,plain,
( b(z,s(s(s(s(s(s(z)))))))
| r(z,s(s(s(s(s(s(z)))))))
| ( z = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_75099]) ).
tcf(c_75190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45051]) ).
tcf(c_75220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46497]) ).
tcf(c_75221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45192]) ).
tcf(c_75226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45178]) ).
tcf(c_75228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44213]) ).
tcf(c_75248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47163]) ).
tcf(c_75514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46846]) ).
tcf(c_75515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46659]) ).
tcf(c_75554,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75515]) ).
tcf(c_75555,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75514]) ).
tcf(c_75575,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45151]) ).
tcf(c_75576,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44892]) ).
tcf(c_75577,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44891]) ).
tcf(c_75582,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75577]) ).
tcf(c_75583,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75576]) ).
tcf(c_75593,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44552]) ).
tcf(c_75594,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44554]) ).
tcf(c_75595,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75594]) ).
tcf(c_75596,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75593]) ).
tcf(c_75598,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45155]) ).
tcf(c_75599,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43506]) ).
tcf(c_75600,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43499]) ).
tcf(c_75601,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75598]) ).
tcf(c_75621,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43767]) ).
tcf(c_75627,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47140]) ).
tcf(c_75628,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47135]) ).
tcf(c_75629,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47074]) ).
tcf(c_75630,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47139]) ).
tcf(c_75631,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75630]) ).
tcf(c_75633,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75628]) ).
tcf(c_75634,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75627]) ).
tcf(c_75659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47322]) ).
tcf(c_75660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47321]) ).
tcf(c_75662,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47350]) ).
tcf(c_75663,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47349]) ).
tcf(c_75665,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47344]) ).
tcf(c_75670,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47325]) ).
tcf(c_75671,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47324]) ).
tcf(c_75673,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47316]) ).
tcf(c_75674,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47343]) ).
tcf(c_75675,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47342]) ).
tcf(c_75676,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47327]) ).
tcf(c_75677,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47326]) ).
tcf(c_75678,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47345]) ).
tcf(c_75679,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75678]) ).
tcf(c_75680,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75677]) ).
tcf(c_75681,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75676]) ).
tcf(c_75683,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75674]) ).
tcf(c_75685,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75671]) ).
tcf(c_75686,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75670]) ).
tcf(c_75688,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75665]) ).
tcf(c_75689,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75662]) ).
tcf(c_75690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50065]) ).
tcf(c_75691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50044]) ).
tcf(c_75692,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_49065]) ).
tcf(c_75694,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45862]) ).
tcf(c_75695,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46235]) ).
tcf(c_75698,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75695]) ).
tcf(c_75699,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75694]) ).
tcf(c_75700,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75692]) ).
tcf(c_75711,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53936]) ).
tcf(c_75714,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47125]) ).
tcf(c_75741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45865]) ).
tcf(c_75908,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47086]) ).
tcf(c_75914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44871]) ).
tcf(c_75916,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44874]) ).
tcf(c_75918,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44536]) ).
tcf(c_75921,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44518]) ).
tcf(c_75922,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44539]) ).
tcf(c_75923,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75922]) ).
tcf(c_75924,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75921]) ).
tcf(c_75925,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75918]) ).
tcf(c_76178,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),z)
| r(s(s(s(s(s(s(X0)))))),z)
| ( s(s(s(s(s(s(X0)))))) = z ) ),
inference(instantiation,[status(thm)],[c_58264]) ).
tcf(c_76179,plain,
( b(s(s(s(s(s(s(z)))))),z)
| r(s(s(s(s(s(s(z)))))),z)
| ( s(s(s(s(s(s(z)))))) = z ) ),
inference(instantiation,[status(thm)],[c_76178]) ).
tcf(c_76191,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(z)))
| r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ( s(s(s(s(s(s(X0)))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_54232]) ).
tcf(c_76192,plain,
( b(s(s(s(s(s(s(z)))))),s(s(z)))
| r(s(s(s(s(s(s(z)))))),s(s(z)))
| ( s(s(s(s(s(s(z)))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_76191]) ).
tcf(c_76316,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56991]) ).
tcf(c_76317,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76316]) ).
tcf(c_76414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_44864]) ).
tcf(c_76415,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_76414]) ).
tcf(c_76448,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59897]) ).
tcf(c_76449,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_76448]) ).
tcf(c_76450,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59897]) ).
tcf(c_76520,plain,
! [X0: $i] :
( b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ( s(s(s(s(z)))) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_51215]) ).
tcf(c_76522,plain,
( b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ( s(s(s(s(z)))) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_76520]) ).
tcf(c_76950,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72315]) ).
tcf(c_76952,plain,
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76950]) ).
tcf(c_77050,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46535]) ).
tcf(c_77081,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47119]) ).
tcf(c_77082,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77081]) ).
tcf(c_77085,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_47119]) ).
tcf(c_77086,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_77085]) ).
tcf(c_77368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_54408]) ).
tcf(c_77369,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77368]) ).
tcf(c_77389,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54425]) ).
tcf(c_77390,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77389]) ).
tcf(c_77393,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_54425]) ).
tcf(c_77394,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77393]) ).
tcf(c_77405,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54426]) ).
tcf(c_77406,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77405]) ).
tcf(c_77409,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_54426]) ).
tcf(c_77410,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77409]) ).
tcf(c_77481,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56984]) ).
tcf(c_77482,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77481]) ).
tcf(c_77485,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56984]) ).
tcf(c_77486,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77485]) ).
tcf(c_77523,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56988]) ).
tcf(c_77524,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77523]) ).
tcf(c_77549,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56990]) ).
tcf(c_77550,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77549]) ).
tcf(c_77553,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56990]) ).
tcf(c_77554,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77553]) ).
tcf(c_77685,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59890]) ).
tcf(c_77686,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77685]) ).
tcf(c_77687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59890]) ).
tcf(c_77735,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_60268]) ).
tcf(c_77737,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77735]) ).
tcf(c_78041,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ( s(s(s(s(s(s(X0)))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_54454]) ).
tcf(c_78042,plain,
( b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ( s(s(s(s(s(s(z)))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_78041]) ).
tcf(c_78404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_72507]) ).
tcf(c_78405,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_78404]) ).
tcf(c_78552,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48396]) ).
tcf(c_78779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48361]) ).
tcf(c_78782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_47178]) ).
tcf(c_78785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46511]) ).
tcf(c_78789,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45794]) ).
tcf(c_78790,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45535]) ).
tcf(c_78841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(z))))),s(X2))
| ~ r(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67598]) ).
tcf(c_78843,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_78841]) ).
tcf(c_80097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42639]) ).
tcf(c_80098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42626]) ).
tcf(c_80100,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42473]) ).
tcf(c_80130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43444]) ).
tcf(c_80131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43437]) ).
tcf(c_80455,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57539]) ).
tcf(c_80456,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80455]) ).
tcf(c_80459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57539]) ).
tcf(c_80473,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57540]) ).
tcf(c_80474,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80473]) ).
tcf(c_80477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57540]) ).
tcf(c_80817,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59888]) ).
tcf(c_80818,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80817]) ).
tcf(c_80819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59888]) ).
tcf(c_80836,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),X1)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59893]) ).
tcf(c_80837,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80836]) ).
tcf(c_80838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59893]) ).
tcf(c_80855,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59894]) ).
tcf(c_80856,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80855]) ).
tcf(c_80857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59894]) ).
tcf(c_80875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59900]) ).
tcf(c_80893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59901]) ).
tcf(c_80912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_59904]) ).
tcf(c_80927,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_59906]) ).
tcf(c_80928,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80927]) ).
tcf(c_80931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_59906]) ).
tcf(c_81046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_65376]) ).
tcf(c_81714,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69823]) ).
tcf(c_81715,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81714]) ).
tcf(c_81716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_69823]) ).
tcf(c_81763,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69825]) ).
tcf(c_81764,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81763]) ).
tcf(c_81765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_69825]) ).
tcf(c_81767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_69825]) ).
tcf(c_81768,plain,
( ~ r(s(z),s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_81767]) ).
tcf(c_81819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_69860]) ).
tcf(c_82291,plain,
! [X0: $i] : ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(s(X0))))))),
inference(instantiation,[status(thm)],[c_53304]) ).
tcf(c_82292,plain,
~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(s(z))))))),
inference(instantiation,[status(thm)],[c_82291]) ).
tcf(c_82732,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_71714]) ).
tcf(c_82760,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ( s(s(s(s(s(s(X0)))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_51192]) ).
tcf(c_82761,plain,
( b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ( s(s(s(s(s(s(z)))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_82760]) ).
tcf(c_83067,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54405]) ).
tcf(c_83095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54415]) ).
tcf(c_83178,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56974]) ).
tcf(c_83195,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56982]) ).
tcf(c_83229,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57682]) ).
tcf(c_83232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57682]) ).
tcf(c_83379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59895]) ).
tcf(c_83581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60249]) ).
tcf(c_83582,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_83581]) ).
tcf(c_83604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X0)))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60250]) ).
tcf(c_83605,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83604]) ).
tcf(c_83624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60251]) ).
tcf(c_83625,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_83624]) ).
tcf(c_83817,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_65205]) ).
tcf(c_84085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68202]) ).
tcf(c_84087,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_84085]) ).
tcf(c_84088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68202]) ).
tcf(c_84122,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68203]) ).
tcf(c_84124,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_84122]) ).
tcf(c_84624,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(s(z))))))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69027]) ).
tcf(c_84625,plain,
( ~ r(z,s(s(s(s(s(z))))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84624]) ).
tcf(c_84861,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_48269]) ).
tcf(c_84863,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_47073]) ).
tcf(c_84896,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84863]) ).
tcf(c_84897,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84861]) ).
tcf(c_84946,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53452]) ).
tcf(c_84948,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53461]) ).
tcf(c_84955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53470]) ).
tcf(c_84964,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53535]) ).
tcf(c_84965,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53513]) ).
tcf(c_84969,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53478]) ).
tcf(c_84970,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53477]) ).
tcf(c_84976,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53450]) ).
tcf(c_84977,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53422]) ).
tcf(c_84978,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53421]) ).
tcf(c_84984,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53489]) ).
tcf(c_84985,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53483]) ).
tcf(c_84986,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53482]) ).
tcf(c_84987,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53463]) ).
tcf(c_84988,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84987]) ).
tcf(c_84989,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84986]) ).
tcf(c_84990,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84985]) ).
tcf(c_84991,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84984]) ).
tcf(c_84992,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84978]) ).
tcf(c_84993,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84977]) ).
tcf(c_84994,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84976]) ).
tcf(c_84995,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84970]) ).
tcf(c_84996,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84969]) ).
tcf(c_84998,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84965]) ).
tcf(c_84999,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84964]) ).
tcf(c_85002,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84946]) ).
tcf(c_85009,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_65761]) ).
tcf(c_85017,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57986]) ).
tcf(c_85018,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_54887]) ).
tcf(c_85019,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85018]) ).
tcf(c_85020,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85017]) ).
tcf(c_85023,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85009]) ).
tcf(c_85025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(s(z))))))
| ~ b(X2,s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68309]) ).
tcf(c_85026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(s(X2)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X2)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68308]) ).
tcf(c_85027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X2)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68307]) ).
tcf(c_85033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(X2),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68277]) ).
tcf(c_85035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(s(z))))))
| ~ b(s(X2),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68272]) ).
tcf(c_85036,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85035]) ).
tcf(c_85037,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85033]) ).
tcf(c_85038,plain,
( ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85027]) ).
tcf(c_85039,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85026]) ).
tcf(c_85040,plain,
( ~ b(z,s(s(s(s(s(z))))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85025]) ).
tcf(c_85073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_43460]) ).
tcf(c_85074,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_85129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42535]) ).
tcf(c_85130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56951]) ).
tcf(c_85133,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85130]) ).
tcf(c_85134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45512]) ).
tcf(c_85137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43459]) ).
tcf(c_85138,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41350]) ).
tcf(c_85139,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85137]) ).
tcf(c_85143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44205]) ).
tcf(c_85328,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_46520]) ).
tcf(c_85384,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45151]) ).
tcf(c_85385,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44892]) ).
tcf(c_85386,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44891]) ).
tcf(c_85391,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85386]) ).
tcf(c_85392,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85385]) ).
tcf(c_85422,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43767]) ).
tcf(c_85423,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43760]) ).
tcf(c_85431,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47139]) ).
tcf(c_85432,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85431]) ).
tcf(c_85472,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47342]) ).
tcf(c_85475,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47345]) ).
tcf(c_85476,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85475]) ).
tcf(c_85477,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85472]) ).
tcf(c_85481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45864]) ).
tcf(c_85483,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46235]) ).
tcf(c_85486,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85483]) ).
tcf(c_85495,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_64920]) ).
tcf(c_85496,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53936]) ).
tcf(c_85508,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85496]) ).
tcf(c_85509,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85495]) ).
tcf(c_85933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42535]) ).
tcf(c_85940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48289]) ).
tcf(c_85943,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41974]) ).
tcf(c_86129,plain,
! [X0: $i] :
( b(s(s(s(s(s(s(X0)))))),s(z))
| r(s(s(s(s(s(s(X0)))))),s(z))
| ( s(s(s(s(s(s(X0)))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_54241]) ).
tcf(c_86130,plain,
( b(s(s(s(s(s(s(z)))))),s(z))
| r(s(s(s(s(s(s(z)))))),s(z))
| ( s(s(s(s(s(s(z)))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_86129]) ).
tcf(c_86352,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(s(s(X0)))))))
| r(s(z),s(s(s(s(s(s(X0)))))))
| ( s(z) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_57032]) ).
tcf(c_86353,plain,
( b(s(z),s(s(s(s(s(s(z)))))))
| r(s(z),s(s(s(s(s(s(z)))))))
| ( s(z) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_86352]) ).
tcf(c_87035,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71897]) ).
tcf(c_87037,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87035]) ).
tcf(c_87058,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71919]) ).
tcf(c_87164,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42565]) ).
tcf(c_87378,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61813]) ).
tcf(c_87379,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61573]) ).
tcf(c_87398,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87378]) ).
tcf(c_87581,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ( s(s(s(z))) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_57137]) ).
tcf(c_87582,plain,
( b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ( s(s(s(z))) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_87581]) ).
tcf(c_87698,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_47165]) ).
tcf(c_87712,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_49087]) ).
tcf(c_87720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_49087]) ).
tcf(c_87957,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58334]) ).
tcf(c_87982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58345]) ).
tcf(c_87983,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87982]) ).
tcf(c_88000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58394]) ).
tcf(c_88240,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_67301]) ).
tcf(c_88316,plain,
! [X0: $i,X1: $i] :
( b(s(X1),X1)
| r(s(X1),X1)
| b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(X0) = X0 ) ),
inference(resolution,[status(thm)],[c_31323,c_57]) ).
tcf(c_88442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_69189]) ).
tcf(c_89266,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_61967]) ).
tcf(c_89273,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89266]) ).
tcf(c_89276,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60482]) ).
tcf(c_89286,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60492]) ).
tcf(c_89287,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42469]) ).
tcf(c_89288,plain,
! [X0: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42456]) ).
tcf(c_89289,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89288]) ).
tcf(c_89290,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89287]) ).
tcf(c_89331,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_72794]) ).
tcf(c_90900,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66986]) ).
tcf(c_90901,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66920]) ).
tcf(c_90902,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53073]) ).
tcf(c_90903,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_90902]) ).
tcf(c_91093,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73374]) ).
tcf(c_91095,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73221]) ).
tcf(c_91097,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_91095]) ).
tcf(c_91099,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_91093]) ).
tcf(c_91730,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69168]) ).
tcf(c_91771,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_91730]) ).
tcf(c_91918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41115]) ).
tcf(c_91930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41491]) ).
tcf(c_92046,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_74938]) ).
tcf(c_92463,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46226]) ).
tcf(c_92465,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44124]) ).
tcf(c_92466,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42552]) ).
tcf(c_92467,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_41938]) ).
tcf(c_92468,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_92467]) ).
tcf(c_92469,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92466]) ).
tcf(c_92470,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92465]) ).
tcf(c_92471,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92463]) ).
tcf(c_92487,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45428]) ).
tcf(c_92488,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92487]) ).
tcf(c_92596,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61813]) ).
tcf(c_92597,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61573]) ).
tcf(c_92603,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57510]) ).
tcf(c_92606,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57555]) ).
tcf(c_92607,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57527]) ).
tcf(c_92610,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57519]) ).
tcf(c_92612,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57514]) ).
tcf(c_92614,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57508]) ).
tcf(c_92615,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92614]) ).
tcf(c_92616,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92612]) ).
tcf(c_92617,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92610]) ).
tcf(c_92618,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92607]) ).
tcf(c_92619,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92606]) ).
tcf(c_92620,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92597]) ).
tcf(c_92621,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92596]) ).
tcf(c_92629,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_56868]) ).
tcf(c_92630,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_56867]) ).
tcf(c_92634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_65345]) ).
tcf(c_92637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_61466]) ).
tcf(c_92638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_56905]) ).
tcf(c_92640,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_63819]) ).
tcf(c_92641,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_63802]) ).
tcf(c_92642,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_63791]) ).
tcf(c_92643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_63651]) ).
tcf(c_92646,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92643]) ).
tcf(c_92647,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92642]) ).
tcf(c_92648,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92641]) ).
tcf(c_92649,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92640]) ).
tcf(c_92650,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92638]) ).
tcf(c_92651,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92637]) ).
tcf(c_92652,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92634]) ).
tcf(c_92653,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92630]) ).
tcf(c_92654,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_92629]) ).
tcf(c_92694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66487]) ).
tcf(c_92696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_65824]) ).
tcf(c_92697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_65401]) ).
tcf(c_92698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_65378]) ).
tcf(c_92700,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_64580]) ).
tcf(c_92701,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92700]) ).
tcf(c_92702,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92698]) ).
tcf(c_92703,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92697]) ).
tcf(c_92704,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92696]) ).
tcf(c_92705,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92694]) ).
tcf(c_92830,plain,
! [X0: $i] :
( ( s(s(s(z))) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_48649]) ).
tcf(c_92831,plain,
( ( s(s(s(z))) = s(s(s(s(s(z))))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_92830]) ).
tcf(c_93207,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69149]) ).
tcf(c_93222,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_65172]) ).
tcf(c_93223,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_64627]) ).
tcf(c_93227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62078]) ).
tcf(c_93229,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_61618]) ).
tcf(c_93232,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_59726]) ).
tcf(c_93234,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58405]) ).
tcf(c_93240,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57670]) ).
tcf(c_93243,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57336]) ).
tcf(c_93244,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57318]) ).
tcf(c_93326,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(z)) )
| ( s(s(s(s(s(s(X0)))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_57065]) ).
tcf(c_93329,plain,
( ( s(s(s(s(s(z))))) = s(s(z)) )
| ( s(s(s(s(s(s(z)))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_93326]) ).
tcf(c_93855,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47073]) ).
tcf(c_93888,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93855]) ).
tcf(c_93933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67052]) ).
tcf(c_93935,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64811]) ).
tcf(c_93936,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93935]) ).
tcf(c_93937,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93933]) ).
tcf(c_93939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56714]) ).
tcf(c_93940,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_93939]) ).
tcf(c_93941,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52737]) ).
tcf(c_93942,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52642]) ).
tcf(c_93946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52752]) ).
tcf(c_93947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52729]) ).
tcf(c_93950,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52662]) ).
tcf(c_93951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52661]) ).
tcf(c_93959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52646]) ).
tcf(c_93962,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52732]) ).
tcf(c_93963,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52709]) ).
tcf(c_93966,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52669]) ).
tcf(c_93967,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52668]) ).
tcf(c_93971,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52650]) ).
tcf(c_93973,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52640]) ).
tcf(c_93974,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52610]) ).
tcf(c_93975,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52609]) ).
tcf(c_93981,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52674]) ).
tcf(c_93982,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52673]) ).
tcf(c_93983,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52654]) ).
tcf(c_93984,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93983]) ).
tcf(c_93985,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93982]) ).
tcf(c_93986,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93981]) ).
tcf(c_93988,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93975]) ).
tcf(c_93989,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93974]) ).
tcf(c_93990,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93973]) ).
tcf(c_93991,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93967]) ).
tcf(c_93992,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93966]) ).
tcf(c_93994,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93963]) ).
tcf(c_93995,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93962]) ).
tcf(c_93998,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93942]) ).
tcf(c_93999,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93941]) ).
tcf(c_94047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53073]) ).
tcf(c_94048,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_94047]) ).
tcf(c_94057,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68147]) ).
tcf(c_94058,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68146]) ).
tcf(c_94059,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94058]) ).
tcf(c_94060,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94057]) ).
tcf(c_94520,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = z )
| ( s(s(s(s(s(s(X0)))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_64097]) ).
tcf(c_94522,plain,
( ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(s(z)))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_94520]) ).
tcf(c_94575,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74265]) ).
tcf(c_94576,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74261]) ).
tcf(c_94577,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74241]) ).
tcf(c_94583,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_94577]) ).
tcf(c_94584,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_94576]) ).
tcf(c_94585,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_94575]) ).
tcf(c_94598,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_77481]) ).
tcf(c_94599,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77389]) ).
tcf(c_94600,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(z),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67269]) ).
tcf(c_94601,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(z),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67268]) ).
tcf(c_94611,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67293]) ).
tcf(c_94615,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_56960]) ).
tcf(c_94616,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_56956]) ).
tcf(c_94617,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54429]) ).
tcf(c_94618,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54428]) ).
tcf(c_94619,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94618]) ).
tcf(c_94620,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94617]) ).
tcf(c_94621,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94616]) ).
tcf(c_94622,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94615]) ).
tcf(c_94623,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94611]) ).
tcf(c_94624,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94601]) ).
tcf(c_94625,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94600]) ).
tcf(c_94626,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94599]) ).
tcf(c_94627,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94598]) ).
tcf(c_94700,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42147]) ).
tcf(c_94701,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42140]) ).
tcf(c_94705,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94701]) ).
tcf(c_94706,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94700]) ).
tcf(c_94765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_51924]) ).
tcf(c_94767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49845]) ).
tcf(c_94768,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_94767]) ).
tcf(c_94770,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_94765]) ).
tcf(c_94783,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42418]) ).
tcf(c_94791,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94783]) ).
tcf(c_94793,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68233]) ).
tcf(c_94794,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_63536]) ).
tcf(c_94796,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52972]) ).
tcf(c_94798,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_94793]) ).
tcf(c_94874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48494]) ).
tcf(c_95484,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75678]) ).
tcf(c_95485,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_95484]) ).
tcf(c_95494,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_87698]) ).
tcf(c_95495,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_95494]) ).
tcf(c_95497,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_87712]) ).
tcf(c_95880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53073]) ).
tcf(c_95991,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75575]) ).
tcf(c_95992,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_95991]) ).
tcf(c_96000,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75576]) ).
tcf(c_96001,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96000]) ).
tcf(c_96009,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75577]) ).
tcf(c_96010,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96009]) ).
tcf(c_96065,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75675]) ).
tcf(c_96066,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_96065]) ).
tcf(c_96183,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_78789]) ).
tcf(c_96184,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96183]) ).
tcf(c_96190,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_78790]) ).
tcf(c_96191,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96190]) ).
tcf(c_96293,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(s(s(X0)))))))
| r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ( s(s(z)) = s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_57197]) ).
tcf(c_96294,plain,
( b(s(s(z)),s(s(s(s(s(s(z)))))))
| r(s(s(z)),s(s(s(s(s(s(z)))))))
| ( s(s(z)) = s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_96293]) ).
tcf(c_96425,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85074]) ).
tcf(c_96426,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96425]) ).
tcf(c_96437,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85138]) ).
tcf(c_96438,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96437]) ).
tcf(c_96458,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85384]) ).
tcf(c_96459,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96458]) ).
tcf(c_96467,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85385]) ).
tcf(c_96468,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96467]) ).
tcf(c_96476,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85386]) ).
tcf(c_96477,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96476]) ).
tcf(c_96821,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74255]) ).
tcf(c_96822,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96821]) ).
tcf(c_96839,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74259]) ).
tcf(c_96935,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_74301]) ).
tcf(c_96936,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_96935]) ).
tcf(c_97126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74939]) ).
tcf(c_97127,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_97126]) ).
tcf(c_97408,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_75599]) ).
tcf(c_97409,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97408]) ).
tcf(c_97423,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_75600]) ).
tcf(c_97424,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97423]) ).
tcf(c_97430,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_75621]) ).
tcf(c_97431,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97430]) ).
tcf(c_97468,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75662]) ).
tcf(c_97469,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97468]) ).
tcf(c_97483,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75663]) ).
tcf(c_97484,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97483]) ).
tcf(c_97541,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75670]) ).
tcf(c_97542,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97541]) ).
tcf(c_97556,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75671]) ).
tcf(c_97557,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97556]) ).
tcf(c_97585,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(z,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75673]) ).
tcf(c_97586,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97585]) ).
tcf(c_97600,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_75694]) ).
tcf(c_97601,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_97600]) ).
tcf(c_97616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42487]) ).
tcf(c_97879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42540]) ).
tcf(c_98298,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_83067]) ).
tcf(c_98360,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_83229]) ).
tcf(c_98404,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85943]) ).
tcf(c_98431,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_83817]) ).
tcf(c_98481,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84969]) ).
tcf(c_98482,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98481]) ).
tcf(c_98723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85073]) ).
tcf(c_98724,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98723]) ).
tcf(c_98744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85129]) ).
tcf(c_98745,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_98744]) ).
tcf(c_98779,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85137]) ).
tcf(c_98780,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98779]) ).
tcf(c_98808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85143]) ).
tcf(c_98809,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_98808]) ).
tcf(c_98839,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85328]) ).
tcf(c_98872,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85422]) ).
tcf(c_98885,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85423]) ).
tcf(c_99398,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_87720]) ).
tcf(c_99452,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87982]) ).
tcf(c_99453,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_99452]) ).
tcf(c_99461,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87982]) ).
tcf(c_99462,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99461]) ).
tcf(c_99485,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_88000]) ).
tcf(c_99494,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_88000]) ).
tcf(c_99495,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99494]) ).
tcf(c_99816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43231]) ).
tcf(c_101202,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85933]) ).
tcf(c_101810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(z),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69823]) ).
tcf(c_101811,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_101810]) ).
tcf(c_102091,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71714]) ).
tcf(c_102092,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102091]) ).
tcf(c_102239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_52070]) ).
tcf(c_102241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_52011]) ).
tcf(c_102473,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_74888]) ).
tcf(c_102488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_74917]) ).
tcf(c_102621,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_75248]) ).
tcf(c_102630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_75248]) ).
tcf(c_102761,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75629]) ).
tcf(c_102762,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_102761]) ).
tcf(c_102778,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(s(X1)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_75711]) ).
tcf(c_102779,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_102778]) ).
tcf(c_102781,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_75714]) ).
tcf(c_102782,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102781]) ).
tcf(c_102849,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75916]) ).
tcf(c_102850,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_102849]) ).
tcf(c_102854,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75916]) ).
tcf(c_102855,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102854]) ).
tcf(c_103398,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_78779]) ).
tcf(c_103407,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_78782]) ).
tcf(c_103432,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_78785]) ).
tcf(c_103509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = s(s(X2)) )
| ( s(s(X2)) != s(s(s(s(s(s(X1)))))) )
| ( s(s(s(s(X0)))) != s(s(s(s(s(s(X1)))))) ) ),
inference(instantiation,[status(thm)],[c_69560]) ).
tcf(c_103591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_80459]) ).
tcf(c_103592,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103591]) ).
tcf(c_103598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80477]) ).
tcf(c_103599,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103598]) ).
tcf(c_103624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80819]) ).
tcf(c_103625,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103624]) ).
tcf(c_103631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X1)))))),X2)
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80838]) ).
tcf(c_103632,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103631]) ).
tcf(c_103638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80857]) ).
tcf(c_103639,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103638]) ).
tcf(c_103645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80875]) ).
tcf(c_103646,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103645]) ).
tcf(c_103652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80893]) ).
tcf(c_103653,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103652]) ).
tcf(c_103738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_80912]) ).
tcf(c_103739,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103738]) ).
tcf(c_103745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80931]) ).
tcf(c_103746,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103745]) ).
tcf(c_103770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_81046]) ).
tcf(c_103797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_81716]) ).
tcf(c_103798,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103797]) ).
tcf(c_103811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_81765]) ).
tcf(c_103812,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_103811]) ).
tcf(c_103825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_81819]) ).
tcf(c_103826,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103825]) ).
tcf(c_103914,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82732]) ).
tcf(c_103915,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103914]) ).
tcf(c_104581,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85134]) ).
tcf(c_104582,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104581]) ).
tcf(c_104587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_85134]) ).
tcf(c_104591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_85134]) ).
tcf(c_104592,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_104591]) ).
tcf(c_105619,plain,
! [X0: $i] : s(s(s(s(s(s(X0)))))) != z,
inference(instantiation,[status(thm)],[c_62461]) ).
tcf(c_105620,plain,
s(s(s(s(s(s(z)))))) != z,
inference(instantiation,[status(thm)],[c_105619]) ).
tcf(c_105944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52979]) ).
tcf(c_105946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_66897]) ).
tcf(c_105947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_66380]) ).
tcf(c_105948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_65976]) ).
tcf(c_105954,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52970]) ).
tcf(c_105956,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52959]) ).
tcf(c_105957,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52929]) ).
tcf(c_105958,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52928]) ).
tcf(c_105959,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53053]) ).
tcf(c_105960,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53030]) ).
tcf(c_105961,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_53029]) ).
tcf(c_105963,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52991]) ).
tcf(c_105964,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52990]) ).
tcf(c_105967,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52974]) ).
tcf(c_105968,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105967]) ).
tcf(c_105970,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105964]) ).
tcf(c_105971,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105963]) ).
tcf(c_105972,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105961]) ).
tcf(c_105973,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105960]) ).
tcf(c_105974,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105959]) ).
tcf(c_105975,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105958]) ).
tcf(c_105976,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105957]) ).
tcf(c_105977,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105956]) ).
tcf(c_105978,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105954]) ).
tcf(c_105979,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105948]) ).
tcf(c_105980,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105947]) ).
tcf(c_105981,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105946]) ).
tcf(c_105983,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105944]) ).
tcf(c_105990,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_80100]) ).
tcf(c_105991,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_105990]) ).
tcf(c_106283,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(z,s(s(s(s(s(s(X0)))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_78552]) ).
tcf(c_106291,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(z,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77050]) ).
tcf(c_106294,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75921]) ).
tcf(c_106297,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75922]) ).
tcf(c_106299,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_60293]) ).
tcf(c_106300,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106299]) ).
tcf(c_106301,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106297]) ).
tcf(c_106303,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106294]) ).
tcf(c_106305,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106291]) ).
tcf(c_106307,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106283]) ).
tcf(c_106644,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_89266]) ).
tcf(c_106645,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_106644]) ).
tcf(c_106783,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92046]) ).
tcf(c_106784,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_106783]) ).
tcf(c_107230,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93243]) ).
tcf(c_107231,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_107230]) ).
tcf(c_107751,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(z))) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_43078]) ).
tcf(c_107752,plain,
( ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(z))) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_107751]) ).
tcf(c_107920,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_95497]) ).
tcf(c_107921,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_107920]) ).
tcf(c_108089,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87058]) ).
tcf(c_108090,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_64084]) ).
tcf(c_108094,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108090]) ).
tcf(c_108095,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108089]) ).
tcf(c_108097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_65031]) ).
tcf(c_108107,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108097]) ).
tcf(c_108109,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67301]) ).
tcf(c_108114,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108109]) ).
tcf(c_108121,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_88000]) ).
tcf(c_108122,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108121]) ).
tcf(c_108123,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89286]) ).
tcf(c_108124,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_89276]) ).
tcf(c_108127,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_74292]) ).
tcf(c_108129,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74907]) ).
tcf(c_108131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69844]) ).
tcf(c_108134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_64230]) ).
tcf(c_108138,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58883]) ).
tcf(c_108140,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_57664]) ).
tcf(c_108143,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54396]) ).
tcf(c_108144,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108143]) ).
tcf(c_108145,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108140]) ).
tcf(c_108146,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108138]) ).
tcf(c_108147,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108134]) ).
tcf(c_108148,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108131]) ).
tcf(c_108149,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108129]) ).
tcf(c_108150,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108127]) ).
tcf(c_108151,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108124]) ).
tcf(c_108152,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108123]) ).
tcf(c_108156,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_64716]) ).
tcf(c_108157,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_64694]) ).
tcf(c_108158,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108157]) ).
tcf(c_108159,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108156]) ).
tcf(c_108163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(s(X1)))))),X2)
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_69854]) ).
tcf(c_108164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_64177]) ).
tcf(c_108166,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_64174]) ).
tcf(c_108168,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108166]) ).
tcf(c_108169,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108164]) ).
tcf(c_108170,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_108163]) ).
tcf(c_108175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_65802]) ).
tcf(c_108176,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108175]) ).
tcf(c_108445,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_99398]) ).
tcf(c_108777,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_101202]) ).
tcf(c_108778,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108777]) ).
tcf(c_109413,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_82732]) ).
tcf(c_109414,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_71076]) ).
tcf(c_109415,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_71040]) ).
tcf(c_109416,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69855]) ).
tcf(c_109417,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_88442]) ).
tcf(c_109418,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_74952]) ).
tcf(c_109458,plain,
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109418]) ).
tcf(c_109459,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109417]) ).
tcf(c_109460,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109416]) ).
tcf(c_109461,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109415]) ).
tcf(c_109462,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109414]) ).
tcf(c_109463,plain,
( ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109413]) ).
tcf(c_109479,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93244]) ).
tcf(c_109480,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93234]) ).
tcf(c_109481,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93232]) ).
tcf(c_109484,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93207]) ).
tcf(c_109488,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109484]) ).
tcf(c_109489,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109481]) ).
tcf(c_109490,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109480]) ).
tcf(c_109491,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109479]) ).
tcf(c_109545,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(z))) )
| ( s(s(s(s(s(s(X0)))))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_48648]) ).
tcf(c_109546,plain,
( ( s(s(s(s(s(z))))) = s(s(s(z))) )
| ( s(s(s(s(s(s(z)))))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_109545]) ).
tcf(c_109646,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_103398]) ).
tcf(c_109647,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109646]) ).
tcf(c_109665,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_103432]) ).
tcf(c_109666,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109665]) ).
tcf(c_109741,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84948]) ).
tcf(c_109742,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109741]) ).
tcf(c_109942,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89331]) ).
tcf(c_109943,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109942]) ).
tcf(c_109944,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_89331]) ).
tcf(c_109945,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_109944]) ).
tcf(c_110154,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92603]) ).
tcf(c_110155,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_110154]) ).
tcf(c_110416,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93223]) ).
tcf(c_110417,plain,
( ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_110416]) ).
tcf(c_110489,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93240]) ).
tcf(c_110490,plain,
( ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_110489]) ).
tcf(c_111199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_97616]) ).
tcf(c_111313,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96000]) ).
tcf(c_111314,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111313]) ).
tcf(c_111326,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96009]) ).
tcf(c_111327,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111326]) ).
tcf(c_111418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96467]) ).
tcf(c_111419,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111418]) ).
tcf(c_111431,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96476]) ).
tcf(c_111432,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111431]) ).
tcf(c_111591,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_102473]) ).
tcf(c_111592,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_111591]) ).
tcf(c_111687,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_102621]) ).
tcf(c_111688,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111687]) ).
tcf(c_111879,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_103407]) ).
tcf(c_111880,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_111879]) ).
tcf(c_112166,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68144]) ).
tcf(c_112167,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_112166]) ).
tcf(c_112299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_97879]) ).
tcf(c_112300,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_112299]) ).
tcf(c_112317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_97879]) ).
tcf(c_112318,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_112317]) ).
tcf(c_112470,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_90900]) ).
tcf(c_112471,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_112470]) ).
tcf(c_112488,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_90901]) ).
tcf(c_112489,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_112488]) ).
tcf(c_113619,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80100]) ).
tcf(c_113620,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_113619]) ).
tcf(c_114209,plain,
! [X0: $i] :
( ( z = s(s(s(s(s(X0))))) )
| ( s(z) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_40776]) ).
tcf(c_114210,plain,
( ( z = s(s(s(s(s(z))))) )
| ( s(z) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_114209]) ).
tcf(c_114378,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98779]) ).
tcf(c_114380,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96437]) ).
tcf(c_114391,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74240]) ).
tcf(c_114394,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_74227]) ).
tcf(c_114400,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114394]) ).
tcf(c_114401,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114391]) ).
tcf(c_114402,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_114380]) ).
tcf(c_114403,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_114378]) ).
tcf(c_114412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(s(X1)))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_77687]) ).
tcf(c_114413,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(s(X1)))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_76450]) ).
tcf(c_114417,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114413]) ).
tcf(c_114418,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114412]) ).
tcf(c_114428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(s(X0)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_69825]) ).
tcf(c_114431,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_87164]) ).
tcf(c_114433,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_83195]) ).
tcf(c_114434,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_83178]) ).
tcf(c_114446,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_56977]) ).
tcf(c_114448,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_56979]) ).
tcf(c_114449,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114448]) ).
tcf(c_114450,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114446]) ).
tcf(c_114452,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114434]) ).
tcf(c_114453,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114433]) ).
tcf(c_114454,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_114431]) ).
tcf(c_114455,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_114428]) ).
tcf(c_114457,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87982]) ).
tcf(c_114458,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114457]) ).
tcf(c_114459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(s(X1)))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_85130]) ).
tcf(c_114471,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_114459]) ).
tcf(c_114655,plain,
! [X0: $i] :
( ( s(s(s(s(s(s(X0)))))) = z )
| ( z != s(s(s(s(s(s(X0)))))) )
| ( s(s(s(s(s(s(X0)))))) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_58410]) ).
tcf(c_114656,plain,
( ( s(s(s(s(s(s(z)))))) = z )
| ( z != s(s(s(s(s(s(z)))))) )
| ( s(s(s(s(s(s(z)))))) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_114655]) ).
tcf(c_114837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_99816]) ).
tcf(c_114838,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_114837]) ).
tcf(c_114855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_99816]) ).
tcf(c_114856,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114855]) ).
tcf(c_116154,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_94794]) ).
tcf(c_116155,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_116154]) ).
tcf(c_116194,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_94796]) ).
tcf(c_116195,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_116194]) ).
tcf(c_116637,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_96839]) ).
tcf(c_117615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(s(s(X1)))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_98808]) ).
tcf(c_117616,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_117615]) ).
tcf(c_117695,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_98872]) ).
tcf(c_117696,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_117695]) ).
tcf(c_117713,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_98885]) ).
tcf(c_117714,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_117713]) ).
tcf(c_119292,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68165]) ).
tcf(c_119293,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_119292]) ).
tcf(c_119298,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68166]) ).
tcf(c_119299,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_119298]) ).
tcf(c_121170,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85940]) ).
tcf(c_121171,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_121170]) ).
tcf(c_121182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_85940]) ).
tcf(c_121183,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_121182]) ).
tcf(c_123818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_102630]) ).
tcf(c_123819,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_123818]) ).
tcf(c_124620,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(s(X0)))))) = s(s(X1)) )
| ( s(s(X1)) != s(s(s(s(s(s(X0)))))) )
| ( s(s(s(s(s(s(X0)))))) != s(s(s(s(s(s(X0)))))) ) ),
inference(instantiation,[status(thm)],[c_103509]) ).
tcf(c_124622,plain,
( ( s(s(s(s(s(s(z)))))) = s(s(z)) )
| ( s(s(z)) != s(s(s(s(s(s(z)))))) )
| ( s(s(s(s(s(s(z)))))) != s(s(s(s(s(s(z)))))) ) ),
inference(instantiation,[status(thm)],[c_124620]) ).
tcf(c_124885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75228]) ).
tcf(c_124886,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_124885]) ).
tcf(c_126483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_54174]) ).
tcf(c_126484,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_126483]) ).
tcf(c_126585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_56974]) ).
tcf(c_126586,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_126585]) ).
tcf(c_127312,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(s(X1)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_67279]) ).
tcf(c_127313,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_127312]) ).
tcf(c_127352,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67280]) ).
tcf(c_127353,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_127352]) ).
tcf(c_129647,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75914]) ).
tcf(c_129648,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_129647]) ).
tcf(c_129875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_76414]) ).
tcf(c_129876,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_129875]) ).
tcf(c_129988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80097]) ).
tcf(c_129989,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_129988]) ).
tcf(c_130023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80098]) ).
tcf(c_130024,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130023]) ).
tcf(c_130113,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_80130]) ).
tcf(c_130114,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130113]) ).
tcf(c_130117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80130]) ).
tcf(c_130118,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130117]) ).
tcf(c_130147,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80131]) ).
tcf(c_130148,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_130147]) ).
tcf(c_130149,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_80131]) ).
tcf(c_130150,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130149]) ).
tcf(c_130153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_80131]) ).
tcf(c_130154,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130153]) ).
tcf(c_130451,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_83095]) ).
tcf(c_130452,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_130451]) ).
tcf(c_130547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(s(X1)))))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_83232]) ).
tcf(c_130548,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130547]) ).
tcf(c_130580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(s(s(X0)))))),s(X2))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_83379]) ).
tcf(c_130581,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_130580]) ).
tcf(c_130882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_84088]) ).
tcf(c_130883,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_130882]) ).
tcf(c_131082,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84955]) ).
tcf(c_131083,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_131082]) ).
tcf(c_131700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(z))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85027]) ).
tcf(c_131701,plain,
( ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_131700]) ).
tcf(c_132447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_85481]) ).
tcf(c_132448,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_132447]) ).
tcf(c_133102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93933]) ).
tcf(c_133103,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_133102]) ).
tcf(c_133153,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93946]) ).
tcf(c_133154,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_133153]) ).
tcf(c_133199,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_93947]) ).
tcf(c_133200,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_133199]) ).
tcf(c_133328,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93950]) ).
tcf(c_133329,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_133328]) ).
tcf(c_133359,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93951]) ).
tcf(c_133360,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_133359]) ).
tcf(c_133599,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93959]) ).
tcf(c_133600,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_133599]) ).
tcf(c_134229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94874]) ).
tcf(c_134230,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_134229]) ).
tcf(c_134467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_95880]) ).
tcf(c_134468,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_134467]) ).
tcf(c_134721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102239]) ).
tcf(c_134722,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134721]) ).
tcf(c_134734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102241]) ).
tcf(c_134735,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134734]) ).
tcf(c_135689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52981]) ).
tcf(c_135690,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_135689]) ).
tcf(c_135709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_52982]) ).
tcf(c_135710,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_135709]) ).
tcf(c_136406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_57649]) ).
tcf(c_136407,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_136406]) ).
tcf(c_136636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58513]) ).
tcf(c_136637,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_136636]) ).
tcf(c_137427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60285]) ).
tcf(c_137428,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_137427]) ).
tcf(c_137663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(s(s(s(X1)))))),s(X2))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_62212]) ).
tcf(c_137664,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_137663]) ).
tcf(c_137697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(s(X1)))))),s(X2))
| ~ r(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_62234]) ).
tcf(c_137698,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_137697]) ).
tcf(c_137947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_66141]) ).
tcf(c_137948,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_137947]) ).
tcf(c_138235,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68153]) ).
tcf(c_138236,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_138235]) ).
tcf(c_138242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68153]) ).
tcf(c_138243,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_138242]) ).
tcf(c_138280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68154]) ).
tcf(c_138281,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_138280]) ).
tcf(c_138307,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68155]) ).
tcf(c_138309,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_138307]) ).
tcf(c_138688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_69816]) ).
tcf(c_138689,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_138688]) ).
tcf(c_138699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69816]) ).
tcf(c_138700,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_138699]) ).
tcf(c_138750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X2)))))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_75190]) ).
tcf(c_138751,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_138750]) ).
tcf(c_139192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_70820]) ).
tcf(c_139193,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_139192]) ).
tcf(c_139330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(s(X2)))),s(X3))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_75221]) ).
tcf(c_139331,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_139330]) ).
tcf(c_139853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(s(X1))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_72511]) ).
tcf(c_139854,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_139853]) ).
tcf(c_139874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75226]) ).
tcf(c_139875,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_139874]) ).
tcf(c_140035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_72689]) ).
tcf(c_140036,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_140035]) ).
tcf(c_141152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_75220]) ).
tcf(c_141153,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_141152]) ).
tcf(c_141650,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68156]) ).
tcf(c_141654,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_141650]) ).
tcf(c_142781,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(z) )
| ( s(s(s(s(s(s(X0)))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_67334]) ).
tcf(c_142782,plain,
( ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(s(z)))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_142781]) ).
tcf(c_143586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_60274]) ).
tcf(c_143618,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_143586]) ).
tcf(c_144429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_104587]) ).
tcf(c_144469,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_144429]) ).
tcf(c_144488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(s(X1)))))),X2)
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_71737]) ).
tcf(c_144489,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_91930]) ).
tcf(c_144492,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_144489]) ).
tcf(c_144493,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_144488]) ).
tcf(c_144504,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_71920]) ).
tcf(c_144511,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_144504]) ).
tcf(c_144600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(s(s(X0)))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_72164]) ).
tcf(c_144606,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_144600]) ).
tcf(c_145042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75741]) ).
tcf(c_145047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75691]) ).
tcf(c_145048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75690]) ).
tcf(c_145050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75660]) ).
tcf(c_145051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_75659]) ).
tcf(c_145063,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_102781]) ).
tcf(c_145083,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_145063]) ).
tcf(c_145086,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145051]) ).
tcf(c_145087,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145050]) ).
tcf(c_145088,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145048]) ).
tcf(c_145089,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145047]) ).
tcf(c_145091,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145042]) ).
tcf(c_145102,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_84088]) ).
tcf(c_145103,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68231]) ).
tcf(c_145107,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145103]) ).
tcf(c_145108,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145102]) ).
tcf(c_145111,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68229]) ).
tcf(c_145112,plain,
( ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145111]) ).
tcf(c_145114,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68151]) ).
tcf(c_145116,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68228]) ).
tcf(c_145117,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_68206]) ).
tcf(c_145118,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145117]) ).
tcf(c_145119,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145116]) ).
tcf(c_145120,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_145114]) ).
tcf(c_145121,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85027]) ).
tcf(c_145122,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85026]) ).
tcf(c_145123,plain,
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_145122]) ).
tcf(c_145124,plain,
( ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_145121]) ).
tcf(c_145890,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_107920]) ).
tcf(c_145891,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145890]) ).
tcf(c_146099,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108445]) ).
tcf(c_146100,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_146099]) ).
tcf(c_146468,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(X0)))
| ~ b(s(s(s(s(z)))),s(s(X0)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85481]) ).
tcf(c_146509,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146468]) ).
tcf(c_146600,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_67052]) ).
tcf(c_146602,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_64811]) ).
tcf(c_146603,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146602]) ).
tcf(c_146604,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146600]) ).
tcf(c_148136,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),X0)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111199]) ).
tcf(c_148142,plain,
! [X0: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99816]) ).
tcf(c_148150,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_148142]) ).
tcf(c_148151,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_148136]) ).
tcf(c_148489,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(X0))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(X0),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67280]) ).
tcf(c_148492,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_148489]) ).
tcf(c_148501,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(X0))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57649]) ).
tcf(c_148504,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_148501]) ).
tcf(c_148576,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_107920]) ).
tcf(c_148583,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98779]) ).
tcf(c_148584,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98404]) ).
tcf(c_148585,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96437]) ).
tcf(c_148604,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_148583]) ).
tcf(c_148605,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_148576]) ).
tcf(c_148615,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98808]) ).
tcf(c_148623,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_148615]) ).
tcf(c_150712,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98839]) ).
tcf(c_152085,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_91918]) ).
tcf(c_152086,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_152085]) ).
tcf(c_152091,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108445]) ).
tcf(c_152134,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_152091]) ).
tcf(c_152186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_72164]) ).
tcf(c_152192,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_152186]) ).
tcf(c_153323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_72964]) ).
tcf(c_153327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_72796]) ).
tcf(c_153334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(s(z))))))
| ~ r(X2,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69029]) ).
tcf(c_153336,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_72375]) ).
tcf(c_153338,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),X1)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_71970]) ).
tcf(c_153339,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_69030]) ).
tcf(c_153344,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_103770]) ).
tcf(c_153348,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_102488]) ).
tcf(c_153349,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_98431]) ).
tcf(c_153350,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_98360]) ).
tcf(c_153351,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_98298]) ).
tcf(c_153403,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153351]) ).
tcf(c_153404,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153350]) ).
tcf(c_153405,plain,
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153349]) ).
tcf(c_153406,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153348]) ).
tcf(c_153407,plain,
( ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153344]) ).
tcf(c_153408,plain,
( ~ r(z,s(s(s(s(s(z))))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153339]) ).
tcf(c_153409,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153338]) ).
tcf(c_153410,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153336]) ).
tcf(c_153411,plain,
( ~ r(z,s(s(s(s(s(z))))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153334]) ).
tcf(c_153413,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153327]) ).
tcf(c_153414,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153323]) ).
tcf(c_153423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93227]) ).
tcf(c_153435,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93229]) ).
tcf(c_153436,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_93222]) ).
tcf(c_153457,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153436]) ).
tcf(c_153458,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153435]) ).
tcf(c_153459,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153423]) ).
tcf(c_153708,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_74907]) ).
tcf(c_153709,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_153708]) ).
tcf(c_154303,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63130]) ).
tcf(c_154310,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87379]) ).
tcf(c_154313,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_154310]) ).
tcf(c_154314,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_154303]) ).
tcf(c_155506,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_75908]) ).
tcf(c_155509,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_58583]) ).
tcf(c_155510,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58582]) ).
tcf(c_155513,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_155510]) ).
tcf(c_155514,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155509]) ).
tcf(c_155515,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155506]) ).
tcf(c_155519,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93971]) ).
tcf(c_155522,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155519]) ).
tcf(c_156053,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63251]) ).
tcf(c_156054,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58347]) ).
tcf(c_156055,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58346]) ).
tcf(c_156065,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_156055]) ).
tcf(c_156066,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_156054]) ).
tcf(c_156067,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_156053]) ).
tcf(c_156154,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_87957]) ).
tcf(c_156155,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_156154]) ).
tcf(c_156162,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_88240]) ).
tcf(c_156163,plain,
( ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_156162]) ).
tcf(c_156376,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X0)))) ),
inference(resolution,[status(thm)],[c_30311,c_59]) ).
tcf(c_156377,plain,
( b(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_156376]) ).
tcf(c_156474,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_99485]) ).
tcf(c_156475,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_156474]) ).
tcf(c_156605,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_106783]) ).
tcf(c_156606,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_156605]) ).
tcf(c_156916,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X1)),s(X2))
| r(s(s(s(X1))),s(X2))
| r(s(s(X1)),s(s(s(X1))))
| ( s(X1) = X2 )
| ( s(s(X1)) = X2 )
| ( s(s(X1)) = X1 )
| ~ b(X0,s(s(X1)))
| ~ b(X0,s(s(s(X1)))) ),
inference(resolution,[status(thm)],[c_43197,c_803]) ).
tcf(c_156917,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(X1))),z)
| r(s(s(X1)),s(X0))
| r(s(X0),s(s(s(X1))))
| r(s(s(X1)),s(s(s(X1))))
| ( X0 = s(s(X1)) )
| ( s(X1) = X0 )
| ( s(s(X1)) = X1 )
| ~ b(s(X0),z) ),
inference(resolution,[status(thm)],[c_43197,c_3438]) ).
tcf(c_156918,plain,
( r(s(s(z)),s(z))
| r(s(s(s(z))),z)
| r(s(z),s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| ( z = s(s(z)) )
| ( s(z) = z )
| ( s(s(z)) = z )
| ~ b(s(z),z) ),
inference(instantiation,[status(thm)],[c_156917]) ).
tcf(c_156919,plain,
( r(s(s(z)),s(z))
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( s(z) = z )
| ( s(s(z)) = z )
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_156916]) ).
tcf(c_156923,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(s(X0))),s(X1))
| r(s(s(X0)),s(s(s(X0))))
| ( s(s(X0)) = X1 )
| ( s(s(X0)) = X0 )
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X0)))) ),
inference(resolution,[status(thm)],[c_43197,c_804]) ).
tcf(c_156926,plain,
( r(z,s(z))
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( s(s(z)) = z )
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_156923]) ).
tcf(c_156928,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(s(s(s(X0))),s(X1))
| r(s(s(X0)),s(s(s(X0))))
| ( X1 = s(s(X0)) )
| ( s(s(X0)) = X0 )
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(resolution,[status(thm)],[c_43197,c_745]) ).
tcf(c_156929,plain,
( r(s(z),z)
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( z = s(s(z)) )
| ( s(s(z)) = z )
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_156928]) ).
tcf(c_157956,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_116637]) ).
tcf(c_157957,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_157956]) ).
tcf(c_158470,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58578]) ).
tcf(c_158471,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_158470]) ).
tcf(c_158491,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_58580]) ).
tcf(c_158492,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_158491]) ).
tcf(c_158572,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_64898]) ).
tcf(c_158573,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_158572]) ).
tcf(c_159709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_159719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_159734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_159741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159709]) ).
tcf(c_159746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X0,z)
| ~ b(X2,X0)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_159757,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_159759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159734]) ).
tcf(c_159760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159734]) ).
tcf(c_159768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X0)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_159770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159734]) ).
tcf(c_159788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,z)
| ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_159746]) ).
tcf(c_159790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159760]) ).
tcf(c_159831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_159832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_159849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_159852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159788]) ).
tcf(c_159857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_159768]) ).
tcf(c_159955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_159956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_159957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_159958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_160109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X1))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159857]) ).
tcf(c_160118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_159857]) ).
tcf(c_160124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_160125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_160126,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_160129,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159790]) ).
tcf(c_160130,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159852]) ).
tcf(c_160226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160109]) ).
tcf(c_160228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160111]) ).
tcf(c_160234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160110]) ).
tcf(c_160236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160110]) ).
tcf(c_160240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160112]) ).
tcf(c_160250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_160253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_160384,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160386,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,z)
| ~ r(X0,z)
| ~ r(X0,X1)
| ~ r(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_160406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_159958]) ).
tcf(c_160407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_159956]) ).
tcf(c_160409,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_159955]) ).
tcf(c_160412,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_159757]) ).
tcf(c_160420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(X0))))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_160422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_160424,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_160444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_160445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_160446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_160451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_160452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_160456,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160126]) ).
tcf(c_160479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160234]) ).
tcf(c_160482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_159956]) ).
tcf(c_160483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_159957]) ).
tcf(c_160488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160240]) ).
tcf(c_160489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160236]) ).
tcf(c_160491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(z))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160226]) ).
tcf(c_160494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_160497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_160568,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160384]) ).
tcf(c_160608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_160609,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160608]) ).
tcf(c_160610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X2)))
| ~ r(s(s(X2)),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_160612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_160617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_160680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160420]) ).
tcf(c_160863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160488]) ).
tcf(c_160905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_160906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_160907,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_160912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_160913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_160915,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X0),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_159852]) ).
tcf(c_160918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_160989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_160990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_160991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_160995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159790]) ).
tcf(c_160996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_160997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_160999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159852]) ).
tcf(c_161015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160608]) ).
tcf(c_161132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160610]) ).
tcf(c_161150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160612]) ).
tcf(c_161249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160918]) ).
tcf(c_161278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161015]) ).
tcf(c_161369,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160995]) ).
tcf(c_161371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160995]) ).
tcf(c_161421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_161132]) ).
tcf(c_161422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161132]) ).
tcf(c_161551,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160497]) ).
tcf(c_161560,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160409]) ).
tcf(c_161562,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160680]) ).
tcf(c_161571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160617]) ).
tcf(c_161594,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160907]) ).
tcf(c_161596,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161594]) ).
tcf(c_161609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160997]) ).
tcf(c_161612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160452]) ).
tcf(c_161613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_161787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161150]) ).
tcf(c_161792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160421]) ).
tcf(c_161793,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160424]) ).
tcf(c_161796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160407]) ).
tcf(c_161797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160406]) ).
tcf(c_161802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160482]) ).
tcf(c_161804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160479]) ).
tcf(c_161806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160483]) ).
tcf(c_161811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160617]) ).
tcf(c_161862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160905]) ).
tcf(c_161865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160446]) ).
tcf(c_161866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160124]) ).
tcf(c_161873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160996]) ).
tcf(c_161875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160452]) ).
tcf(c_161876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_161877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160253]) ).
tcf(c_161878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160250]) ).
tcf(c_161880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160990]) ).
tcf(c_161881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160989]) ).
tcf(c_161883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160445]) ).
tcf(c_161884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160444]) ).
tcf(c_161965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161421]) ).
tcf(c_161975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161422]) ).
tcf(c_162226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161792]) ).
tcf(c_162587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161787]) ).
tcf(c_162671,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161866]) ).
tcf(c_162678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161877]) ).
tcf(c_162746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161876]) ).
tcf(c_162795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161884]) ).
tcf(c_162805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_162811,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160995]) ).
tcf(c_162812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(X1,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_162813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_162818,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161866]) ).
tcf(c_162823,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160906]) ).
tcf(c_162829,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160912]) ).
tcf(c_162831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160997]) ).
tcf(c_162835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_162839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161881]) ).
tcf(c_162840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160990]) ).
tcf(c_162847,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_161613]) ).
tcf(c_162853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_162855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_162856,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_162853]) ).
tcf(c_162857,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161571]) ).
tcf(c_162858,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_162864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160422]) ).
tcf(c_162895,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_161612]) ).
tcf(c_162928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161883]) ).
tcf(c_162937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X0)
| ~ r(X1,X2)
| ~ r(X1,X0)
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_162949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_162951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X0))
| ~ r(s(s(X2)),s(X0))
| ~ r(s(s(X2)),s(s(z)))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161132]) ).
tcf(c_162959,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159957]) ).
tcf(c_162962,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(X0)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159832]) ).
tcf(c_162998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161811]) ).
tcf(c_162999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_163001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_163002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161571]) ).
tcf(c_163003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159719]) ).
tcf(c_163009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(s(s(X3))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_163071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_161609]) ).
tcf(c_163073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161883]) ).
tcf(c_163074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161880]) ).
tcf(c_163122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_163123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_163130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_163131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(X3),s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_163153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_163157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161884]) ).
tcf(c_163159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160990]) ).
tcf(c_163162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160445]) ).
tcf(c_163167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_161613]) ).
tcf(c_163173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161876]) ).
tcf(c_163174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161873]) ).
tcf(c_163523,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_162937]) ).
tcf(c_163526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X0)))
| ~ r(s(X1),s(s(X0)))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162937]) ).
tcf(c_163533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162937]) ).
tcf(c_163536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_162937]) ).
tcf(c_163638,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162847]) ).
tcf(c_163660,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_162858]) ).
tcf(c_163661,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_162858]) ).
tcf(c_163668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162864]) ).
tcf(c_163675,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162895]) ).
tcf(c_163719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162949]) ).
tcf(c_163896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_163897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_163907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_164087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162805]) ).
tcf(c_164103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_162813]) ).
tcf(c_164104,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_164103]) ).
tcf(c_164152,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_163003]) ).
tcf(c_164162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163001]) ).
tcf(c_164187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_162999]) ).
tcf(c_164188,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164187]) ).
tcf(c_164189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_162999]) ).
tcf(c_164223,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_162831]) ).
tcf(c_164293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162840]) ).
tcf(c_164319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_162928]) ).
tcf(c_164423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163122]) ).
tcf(c_164435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163130]) ).
tcf(c_164437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163130]) ).
tcf(c_164530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163167]) ).
tcf(c_164556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163073]) ).
tcf(c_164557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163073]) ).
tcf(c_164564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163073]) ).
tcf(c_164619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163123]) ).
tcf(c_164631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163131]) ).
tcf(c_164633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163131]) ).
tcf(c_164733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163159]) ).
tcf(c_164756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163162]) ).
tcf(c_164781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163173]) ).
tcf(c_164870,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163523]) ).
tcf(c_165266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163536]) ).
tcf(c_165267,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163536]) ).
tcf(c_165268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163536]) ).
tcf(c_165278,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163536]) ).
tcf(c_165352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163896]) ).
tcf(c_165685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163897]) ).
tcf(c_165762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164423]) ).
tcf(c_165941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164437]) ).
tcf(c_166045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164633]) ).
tcf(c_166293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_164781]) ).
tcf(c_166298,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_164293]) ).
tcf(c_166302,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_163675]) ).
tcf(c_166303,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_163638]) ).
tcf(c_166311,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_162818]) ).
tcf(c_166318,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_162671]) ).
tcf(c_166320,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166318]) ).
tcf(c_166321,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166311]) ).
tcf(c_166322,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166303]) ).
tcf(c_166323,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166302]) ).
tcf(c_166324,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166298]) ).
tcf(c_166468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(X2))))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_163907]) ).
tcf(c_166470,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_163668]) ).
tcf(c_166473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_162998]) ).
tcf(c_166474,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_163002]) ).
tcf(c_166478,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_162587]) ).
tcf(c_166479,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_162226]) ).
tcf(c_166481,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_166470]) ).
tcf(c_166580,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164870]) ).
tcf(c_166581,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_166580]) ).
tcf(c_166605,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_160991]) ).
tcf(c_166625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160452]) ).
tcf(c_166628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_162840]) ).
tcf(c_166632,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166628]) ).
tcf(c_166633,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160253]) ).
tcf(c_166646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164631]) ).
tcf(c_166653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164619]) ).
tcf(c_166655,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166653]) ).
tcf(c_166715,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160907]) ).
tcf(c_166717,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166715]) ).
tcf(c_166719,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161862]) ).
tcf(c_166727,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160125]) ).
tcf(c_166733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160996]) ).
tcf(c_166740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161884]) ).
tcf(c_166741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161881]) ).
tcf(c_166742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160990]) ).
tcf(c_166750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164631]) ).
tcf(c_166751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164435]) ).
tcf(c_166831,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_164870]) ).
tcf(c_166986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_166989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163071]) ).
tcf(c_166994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_166999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163074]) ).
tcf(c_167000,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160907]) ).
tcf(c_167018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160999]) ).
tcf(c_167035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_163174]) ).
tcf(c_167037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164631]) ).
tcf(c_167045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164619]) ).
tcf(c_167046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164423]) ).
tcf(c_167223,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160456]) ).
tcf(c_167235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162746]) ).
tcf(c_167237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162678]) ).
tcf(c_167303,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_164870]) ).
tcf(c_167318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160489]) ).
tcf(c_167320,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160491]) ).
tcf(c_167326,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160228]) ).
tcf(c_167328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_163533]) ).
tcf(c_167364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_163526]) ).
tcf(c_167368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162962]) ).
tcf(c_167371,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162959]) ).
tcf(c_167377,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167364]) ).
tcf(c_167386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162951]) ).
tcf(c_167397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_163719]) ).
tcf(c_167398,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167397]) ).
tcf(c_167435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161965]) ).
tcf(c_167522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_161015]) ).
tcf(c_167526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159958]) ).
tcf(c_167527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159956]) ).
tcf(c_167546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_161150]) ).
tcf(c_167572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160479]) ).
tcf(c_167586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_162999]) ).
tcf(c_167762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164781]) ).
tcf(c_167764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164564]) ).
tcf(c_167956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161797]) ).
tcf(c_167957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161796]) ).
tcf(c_167966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X3))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_163907]) ).
tcf(c_168377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161802]) ).
tcf(c_168395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_165266]) ).
tcf(c_168405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_165268]) ).
tcf(c_168470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161804]) ).
tcf(c_168496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X2)))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161975]) ).
tcf(c_168565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164162]) ).
tcf(c_168604,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164319]) ).
tcf(c_168649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_165685]) ).
tcf(c_168675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164556]) ).
tcf(c_168687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164557]) ).
tcf(c_168752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_165941]) ).
tcf(c_168800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_166045]) ).
tcf(c_168936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163001]) ).
tcf(c_168937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161811]) ).
tcf(c_168938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_168940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_168941,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_168938]) ).
tcf(c_168942,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162855]) ).
tcf(c_168947,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_168948,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_168947]) ).
tcf(c_168954,plain,
! [X0: $i,X1: $i] :
( ~ r(X0,z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(X1))),z)
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160386]) ).
tcf(c_169116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_165278]) ).
tcf(c_169130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159770]) ).
tcf(c_169132,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159741]) ).
tcf(c_169136,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163071]) ).
tcf(c_169142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_169146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164733]) ).
tcf(c_169161,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_160913]) ).
tcf(c_169163,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_160915]) ).
tcf(c_169167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160452]) ).
tcf(c_169168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_169169,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160253]) ).
tcf(c_169198,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_164103]) ).
tcf(c_169199,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_162835]) ).
tcf(c_169201,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_161613]) ).
tcf(c_169209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163153]) ).
tcf(c_169511,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167368]) ).
tcf(c_169720,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166719]) ).
tcf(c_169721,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_169720]) ).
tcf(c_169898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167318]) ).
tcf(c_170160,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_168604]) ).
tcf(c_170161,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170160]) ).
tcf(c_170346,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_166633]) ).
tcf(c_170389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167386]) ).
tcf(c_170631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167956]) ).
tcf(c_170681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_170690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X0))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160118]) ).
tcf(c_170695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163074]) ).
tcf(c_170700,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160126]) ).
tcf(c_170706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(X0),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160906]) ).
tcf(c_170715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_160997]) ).
tcf(c_170718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160452]) ).
tcf(c_170719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160451]) ).
tcf(c_170744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_166994]) ).
tcf(c_170771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_162835]) ).
tcf(c_170794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_161876]) ).
tcf(c_170997,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166733]) ).
tcf(c_171057,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166740]) ).
tcf(c_171086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166742]) ).
tcf(c_171087,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_171086]) ).
tcf(c_171163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_166750]) ).
tcf(c_171180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_166751]) ).
tcf(c_171228,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167328]) ).
tcf(c_171229,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_171228]) ).
tcf(c_171275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_166625]) ).
tcf(c_171469,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_168675]) ).
tcf(c_171653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_166646]) ).
tcf(c_171682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_166989]) ).
tcf(c_171814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167526]) ).
tcf(c_171826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167527]) ).
tcf(c_171910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167546]) ).
tcf(c_171971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167572]) ).
tcf(c_171987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167586]) ).
tcf(c_172246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_168496]) ).
tcf(c_172257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_168565]) ).
tcf(c_172319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_168649]) ).
tcf(c_172409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_166999]) ).
tcf(c_172470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_167035]) ).
tcf(c_172484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167037]) ).
tcf(c_172517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(z))),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167045]) ).
tcf(c_172520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167045]) ).
tcf(c_172533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167046]) ).
tcf(c_172536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167046]) ).
tcf(c_172577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_167235]) ).
tcf(c_172578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_167235]) ).
tcf(c_172787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(X3))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_168752]) ).
tcf(c_172816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(X3))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_168800]) ).
tcf(c_173132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_168940]) ).
tcf(c_173213,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_160412]) ).
tcf(c_173326,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_160568]) ).
tcf(c_173331,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173326]) ).
tcf(c_173332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164189]) ).
tcf(c_173335,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173332]) ).
tcf(c_173356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161975]) ).
tcf(c_173360,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173356]) ).
tcf(c_173418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_166605]) ).
tcf(c_173426,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161369]) ).
tcf(c_173427,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160130]) ).
tcf(c_173428,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_160129]) ).
tcf(c_173429,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_173428]) ).
tcf(c_173430,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_173427]) ).
tcf(c_173431,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_173426]) ).
tcf(c_173434,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173418]) ).
tcf(c_173436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167018]) ).
tcf(c_173437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_166986]) ).
tcf(c_173438,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167223]) ).
tcf(c_173441,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167000]) ).
tcf(c_173442,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162811]) ).
tcf(c_173443,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_173442]) ).
tcf(c_173444,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173438]) ).
tcf(c_173469,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161594]) ).
tcf(c_173470,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173469]) ).
tcf(c_173472,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_164087]) ).
tcf(c_173477,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173472]) ).
tcf(c_173483,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161612]) ).
tcf(c_173485,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173483]) ).
tcf(c_173492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161865]) ).
tcf(c_173504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161875]) ).
tcf(c_173528,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(X0)),s(X1))
| r(s(s(s(X0))),s(s(X0)))
| ( s(X0) = X1 )
| ( s(s(X0)) = X0 )
| ~ b(z,s(s(X0)))
| ~ b(s(s(s(X0))),z) ),
inference(resolution,[status(thm)],[c_55866,c_804]) ).
tcf(c_173531,plain,
( r(z,s(z))
| r(s(s(z)),s(z))
| r(s(s(s(z))),s(s(z)))
| ( s(z) = z )
| ( s(s(z)) = z )
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_173528]) ).
tcf(c_173533,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(s(s(X0)),s(X1))
| r(s(s(s(X0))),s(s(X0)))
| ( X1 = s(X0) )
| ( s(s(X0)) = X0 )
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(resolution,[status(thm)],[c_55866,c_745]) ).
tcf(c_173534,plain,
( r(s(z),z)
| r(s(s(z)),s(z))
| r(s(s(s(z))),s(s(z)))
| ( z = s(z) )
| ( s(s(z)) = z )
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_173533]) ).
tcf(c_173559,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_169163]) ).
tcf(c_173563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_160494]) ).
tcf(c_173768,plain,
! [X0: $i,X1: $i] :
( r(s(s(X1)),z)
| r(s(X0),s(s(X1)))
| r(s(s(s(X1))),s(X0))
| r(s(s(s(X1))),s(s(X1)))
| ( X1 = s(s(X1)) )
| ( X0 = s(X1) )
| ( X0 = s(s(X1)) )
| ~ b(s(X0),z) ),
inference(resolution,[status(thm)],[c_56112,c_3444]) ).
tcf(c_173771,plain,
( r(s(s(z)),z)
| r(s(z),s(s(z)))
| r(s(s(s(z))),s(z))
| r(s(s(s(z))),s(s(z)))
| ( z = s(z) )
| ( z = s(s(z)) )
| ~ b(s(z),z) ),
inference(instantiation,[status(thm)],[c_173768]) ).
tcf(c_173802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(s(z))),X2)
| ~ r(s(X0),s(s(X1)))
| ~ r(s(s(s(z))),s(X0)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_173834,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,X0)
| ~ r(X0,s(s(z)))
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X0) ),
inference(instantiation,[status(thm)],[c_162937]) ).
tcf(c_173835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X0)
| ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(z))),X0)
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_174162,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166727]) ).
tcf(c_174167,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_174162]) ).
tcf(c_174201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167237]) ).
tcf(c_174207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161878]) ).
tcf(c_174415,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_169511]) ).
tcf(c_174506,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_170997]) ).
tcf(c_174507,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_174506]) ).
tcf(c_174525,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_171057]) ).
tcf(c_174745,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_168942]) ).
tcf(c_174746,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_174745]) ).
tcf(c_174766,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_168947]) ).
tcf(c_174767,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_174766]) ).
tcf(c_174797,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_169132]) ).
tcf(c_174908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_169898]) ).
tcf(c_175067,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_170700]) ).
tcf(c_175068,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_175067]) ).
tcf(c_175323,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_168936]) ).
tcf(c_175333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_168937]) ).
tcf(c_175407,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_169161]) ).
tcf(c_175446,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_169169]) ).
tcf(c_175447,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_175446]) ).
tcf(c_175838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_160617]) ).
tcf(c_175840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_160863]) ).
tcf(c_175864,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_161562]) ).
tcf(c_175983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_159849]) ).
tcf(c_175985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_175989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_162949]) ).
tcf(c_175994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X3))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_176006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(s(X0))))
| ~ r(X1,s(s(s(X2))))
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_176326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170389]) ).
tcf(c_176467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X2)))),s(s(z)))
| ~ r(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_170631]) ).
tcf(c_176618,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_169116]) ).
tcf(c_176636,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_169130]) ).
tcf(c_176681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_169142]) ).
tcf(c_176728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_169209]) ).
tcf(c_176888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170706]) ).
tcf(c_177057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171163]) ).
tcf(c_177068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171180]) ).
tcf(c_177408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172484]) ).
tcf(c_177428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172533]) ).
tcf(c_177786,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_172577]) ).
tcf(c_177971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_169167]) ).
tcf(c_177989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_169168]) ).
tcf(c_178443,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171653]) ).
tcf(c_178444,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171653]) ).
tcf(c_178475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171682]) ).
tcf(c_178574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171814]) ).
tcf(c_178598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171826]) ).
tcf(c_178678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_171910]) ).
tcf(c_178757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_171971]) ).
tcf(c_178767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_171987]) ).
tcf(c_178768,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_178767]) ).
tcf(c_178906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_172257]) ).
tcf(c_178943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172517]) ).
tcf(c_178998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170681]) ).
tcf(c_179000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170681]) ).
tcf(c_179021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170690]) ).
tcf(c_179070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170695]) ).
tcf(c_179071,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179070]) ).
tcf(c_179072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170695]) ).
tcf(c_179087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_170715]) ).
tcf(c_179129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_170718]) ).
tcf(c_179154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_170719]) ).
tcf(c_179373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_170744]) ).
tcf(c_179476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_170794]) ).
tcf(c_179483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_170794]) ).
tcf(c_179484,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_179483]) ).
tcf(c_179578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(s(X1)))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172409]) ).
tcf(c_179636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(s(s(X1)))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172470]) ).
tcf(c_179684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172520]) ).
tcf(c_179685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172520]) ).
tcf(c_179699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172536]) ).
tcf(c_179758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(s(X3))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172578]) ).
tcf(c_179830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172787]) ).
tcf(c_179832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172787]) ).
tcf(c_179847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172816]) ).
tcf(c_180904,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_168687]) ).
tcf(c_180906,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_166741]) ).
tcf(c_180913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_165762]) ).
tcf(c_180915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_164756]) ).
tcf(c_180917,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_164530]) ).
tcf(c_180919,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_164293]) ).
tcf(c_180926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_163157]) ).
tcf(c_180929,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_162839]) ).
tcf(c_180935,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_162795]) ).
tcf(c_181012,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_171469]) ).
tcf(c_181279,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_174525]) ).
tcf(c_181675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_173563]) ).
tcf(c_181792,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_173441]) ).
tcf(c_181793,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181792]) ).
tcf(c_182088,plain,
! [X0: $i] :
( ~ r(X0,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(X0,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_173834]) ).
tcf(c_182552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_175985]) ).
tcf(c_182571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_176006]) ).
tcf(c_182612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_175989]) ).
tcf(c_182613,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182612]) ).
tcf(c_182723,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_177786]) ).
tcf(c_182757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_175983]) ).
tcf(c_182955,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(X0)),s(s(X1)))
| ~ r(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_173802]) ).
tcf(c_183260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_175333]) ).
tcf(c_183819,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_176467]) ).
tcf(c_183976,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_178767]) ).
tcf(c_183977,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_183976]) ).
tcf(c_184147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_173504]) ).
tcf(c_184510,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_176681]) ).
tcf(c_184608,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_176888]) ).
tcf(c_184609,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184608]) ).
tcf(c_184733,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_177057]) ).
tcf(c_184734,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184733]) ).
tcf(c_184750,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_177068]) ).
tcf(c_184751,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184750]) ).
tcf(c_184951,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177428]) ).
tcf(c_184953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_177428]) ).
tcf(c_185058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179087]) ).
tcf(c_185209,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_179373]) ).
tcf(c_185307,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179699]) ).
tcf(c_185942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X3))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_175994]) ).
tcf(c_186154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_177971]) ).
tcf(c_186155,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_186154]) ).
tcf(c_186182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_177989]) ).
tcf(c_186527,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178475]) ).
tcf(c_186528,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_186527]) ).
tcf(c_186529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_178475]) ).
tcf(c_186876,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178943]) ).
tcf(c_186877,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_186876]) ).
tcf(c_187186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179830]) ).
tcf(c_187196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179847]) ).
tcf(c_187485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_178998]) ).
tcf(c_187486,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_187485]) ).
tcf(c_187510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_179000]) ).
tcf(c_187533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(X1),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_179021]) ).
tcf(c_187634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179636]) ).
tcf(c_187755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_179129]) ).
tcf(c_188215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179578]) ).
tcf(c_188258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179476]) ).
tcf(c_188347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179684]) ).
tcf(c_188362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179685]) ).
tcf(c_188424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(s(s(X3)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_179758]) ).
tcf(c_188536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179832]) ).
tcf(c_188714,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_182088]) ).
tcf(c_188771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_178678]) ).
tcf(c_188774,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_173213]) ).
tcf(c_188785,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167371]) ).
tcf(c_188790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_165352]) ).
tcf(c_188791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_163896]) ).
tcf(c_188792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161806]) ).
tcf(c_188794,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_165267]) ).
tcf(c_188800,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_161560]) ).
tcf(c_188802,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188800]) ).
tcf(c_188803,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_188791]) ).
tcf(c_188804,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_188785]) ).
tcf(c_188805,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_188774]) ).
tcf(c_188809,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167957]) ).
tcf(c_188810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167956]) ).
tcf(c_188823,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_167326]) ).
tcf(c_188830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_168377]) ).
tcf(c_189303,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_181012]) ).
tcf(c_190428,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_182723]) ).
tcf(c_190608,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_185307]) ).
tcf(c_190661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_182571]) ).
tcf(c_190812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_181675]) ).
tcf(c_192827,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_185058]) ).
tcf(c_192828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_185058]) ).
tcf(c_194048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_187186]) ).
tcf(c_194064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_187196]) ).
tcf(c_194869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(z,X3)
| r(z,X3)
| r(s(s(X1)),X3)
| r(s(X1),s(s(X1)))
| ( s(s(X1)) = X0 )
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(X1)))
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_43208,c_904]) ).
tcf(c_194872,plain,
( b(z,z)
| r(z,z)
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ( s(s(z)) = z )
| ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ( z != z ) ),
inference(instantiation,[status(thm)],[c_194869]) ).
tcf(c_194942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_188258]) ).
tcf(c_194943,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_194942]) ).
tcf(c_195034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_188347]) ).
tcf(c_195151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_188424]) ).
tcf(c_195869,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178757]) ).
tcf(c_195875,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_168470]) ).
tcf(c_195877,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195875]) ).
tcf(c_195878,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195869]) ).
tcf(c_195888,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178906]) ).
tcf(c_195889,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195888]) ).
tcf(c_195893,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_175323]) ).
tcf(c_195898,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_166468]) ).
tcf(c_195901,plain,
( ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195898]) ).
tcf(c_195902,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195893]) ).
tcf(c_195903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_185942]) ).
tcf(c_195911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_167966]) ).
tcf(c_195939,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),X1)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_166473]) ).
tcf(c_195940,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_166479]) ).
tcf(c_195942,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195940]) ).
tcf(c_195943,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195939]) ).
tcf(c_195981,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_172319]) ).
tcf(c_195984,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195981]) ).
tcf(c_196626,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_184733]) ).
tcf(c_196628,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_174201]) ).
tcf(c_196630,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196628]) ).
tcf(c_196632,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196626]) ).
tcf(c_196647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_187755]) ).
tcf(c_196652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_179154]) ).
tcf(c_196662,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196652]) ).
tcf(c_196664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_187485]) ).
tcf(c_196666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(X2),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_179483]) ).
tcf(c_196675,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(s(s(z))))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_174207]) ).
tcf(c_196684,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196675]) ).
tcf(c_196685,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196666]) ).
tcf(c_196686,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196664]) ).
tcf(c_196689,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_188362]) ).
tcf(c_196693,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_166293]) ).
tcf(c_196697,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196693]) ).
tcf(c_196698,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196689]) ).
tcf(c_196744,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_188536]) ).
tcf(c_196745,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_187634]) ).
tcf(c_196747,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_188215]) ).
tcf(c_196748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(X2))
| ~ b(s(s(s(s(s(s(X0)))))),s(X2))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_179072]) ).
tcf(c_196754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X2)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_167764]) ).
tcf(c_196755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_167762]) ).
tcf(c_196757,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196747]) ).
tcf(c_196758,plain,
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196745]) ).
tcf(c_196759,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_196744]) ).
tcf(c_198661,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_188830]) ).
tcf(c_199214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(X2)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_188830]) ).
tcf(c_200873,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_192828]) ).
tcf(c_201686,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_194942]) ).
tcf(c_201687,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_201686]) ).
tcf(c_203185,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184733]) ).
tcf(c_203186,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181792]) ).
tcf(c_203189,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203186]) ).
tcf(c_203190,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203185]) ).
tcf(c_203212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_179154]) ).
tcf(c_203222,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203212]) ).
tcf(c_203245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(z))))),X2)
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195034]) ).
tcf(c_203249,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195151]) ).
tcf(c_203258,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_190428]) ).
tcf(c_203265,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184147]) ).
tcf(c_203278,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203265]) ).
tcf(c_203279,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203258]) ).
tcf(c_203280,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203249]) ).
tcf(c_203281,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_203245]) ).
tcf(c_203465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_187755]) ).
tcf(c_203480,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203465]) ).
tcf(c_203545,plain,
! [X0: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_161249]) ).
tcf(c_203547,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(X1))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160236]) ).
tcf(c_203551,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_167586]) ).
tcf(c_203573,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(X0))
| ~ r(X1,s(s(s(z))))
| ~ r(s(X0),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_163526]) ).
tcf(c_203586,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_203573]) ).
tcf(c_203589,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188794]) ).
tcf(c_203590,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_174908]) ).
tcf(c_203594,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_168395]) ).
tcf(c_203595,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_165268]) ).
tcf(c_203605,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203595]) ).
tcf(c_203606,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203590]) ).
tcf(c_203607,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203589]) ).
tcf(c_203679,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160226]) ).
tcf(c_203796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_169142]) ).
tcf(c_203801,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_203796]) ).
tcf(c_203836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159759]) ).
tcf(c_203855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159852]) ).
tcf(c_205171,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_160226]) ).
tcf(c_205628,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_163661]) ).
tcf(c_205629,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161793]) ).
tcf(c_205630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161804]) ).
tcf(c_205637,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205630]) ).
tcf(c_205638,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205629]) ).
tcf(c_205639,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205628]) ).
tcf(c_205722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178598]) ).
tcf(c_205723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178574]) ).
tcf(c_205733,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_174415]) ).
tcf(c_205744,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_168405]) ).
tcf(c_205761,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_162857]) ).
tcf(c_205766,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205761]) ).
tcf(c_205769,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205733]) ).
tcf(c_205770,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205723]) ).
tcf(c_205771,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205722]) ).
tcf(c_205823,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_188792]) ).
tcf(c_205824,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_188790]) ).
tcf(c_206562,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_168954]) ).
tcf(c_206661,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_182955]) ).
tcf(c_206663,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_206661]) ).
tcf(c_207001,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_162823]) ).
tcf(c_207116,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164223]) ).
tcf(c_207562,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_169199]) ).
tcf(c_207934,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_176618]) ).
tcf(c_208037,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178444]) ).
tcf(c_208038,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_208037]) ).
tcf(c_208474,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_188823]) ).
tcf(c_209347,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_200873]) ).
tcf(c_209348,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_209347]) ).
tcf(c_211831,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_188771]) ).
tcf(c_213120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161371]) ).
tcf(c_213121,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_213120]) ).
tcf(c_213240,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_171275]) ).
tcf(c_213788,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_169146]) ).
tcf(c_213789,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_213788]) ).
tcf(c_214068,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_173436]) ).
tcf(c_214069,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_214068]) ).
tcf(c_214070,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_173436]) ).
tcf(c_214071,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_214070]) ).
tcf(c_214231,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_176728]) ).
tcf(c_214232,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_214231]) ).
tcf(c_214503,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184953]) ).
tcf(c_216089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_166653]) ).
tcf(c_216090,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_216089]) ).
tcf(c_216413,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_170771]) ).
tcf(c_216686,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_173437]) ).
tcf(c_216746,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_173492]) ).
tcf(c_216747,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_216746]) ).
tcf(c_217500,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186529]) ).
tcf(c_217501,plain,
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_217500]) ).
tcf(c_217502,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_186529]) ).
tcf(c_217503,plain,
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_217502]) ).
tcf(c_218157,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_194048]) ).
tcf(c_218158,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_218157]) ).
tcf(c_218178,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_194064]) ).
tcf(c_218179,plain,
( ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218178]) ).
tcf(c_218288,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_196652]) ).
tcf(c_218289,plain,
( ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218288]) ).
tcf(c_218339,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_196666]) ).
tcf(c_218340,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218339]) ).
tcf(c_218501,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_196748]) ).
tcf(c_218502,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218501]) ).
tcf(c_218577,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_196754]) ).
tcf(c_218595,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_196755]) ).
tcf(c_218596,plain,
( ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218595]) ).
tcf(c_219290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_175838]) ).
tcf(c_219296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_219297,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_219290]) ).
tcf(c_219307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_219308,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_219307]) ).
tcf(c_219409,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_187533]) ).
tcf(c_219430,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_186182]) ).
tcf(c_219707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_219296]) ).
tcf(c_219721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_175838]) ).
tcf(c_219724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_161811]) ).
tcf(c_219726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_159831]) ).
tcf(c_219729,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_219724]) ).
tcf(c_219730,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_219721]) ).
tcf(c_219739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_163536]) ).
tcf(c_219740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_163009]) ).
tcf(c_219741,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_219740]) ).
tcf(c_219742,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_219739]) ).
tcf(c_219753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(z))),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_173835]) ).
tcf(c_219755,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_219753]) ).
tcf(c_220309,plain,
! [X0: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(X0)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_173436]) ).
tcf(c_220310,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_220309]) ).
tcf(c_220645,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_173563]) ).
tcf(c_220654,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_220645]) ).
tcf(c_220794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_162864]) ).
tcf(c_220803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,z)
| ~ r(s(X2),z)
| ~ r(X1,s(X2))
| ~ r(z,s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_160422]) ).
tcf(c_221599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_182552]) ).
tcf(c_221610,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_173132]) ).
tcf(c_221954,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203545]) ).
tcf(c_222191,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178444]) ).
tcf(c_222422,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_173436]) ).
tcf(c_222480,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_196647]) ).
tcf(c_222481,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_222480]) ).
tcf(c_222688,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_178443]) ).
tcf(c_222708,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185058]) ).
tcf(c_222726,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_178943]) ).
tcf(c_222733,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_177408]) ).
tcf(c_222789,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_222733]) ).
tcf(c_222980,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_189303]) ).
tcf(c_222982,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_181279]) ).
tcf(c_222985,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222982]) ).
tcf(c_222986,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222980]) ).
tcf(c_222988,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180929]) ).
tcf(c_222989,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180919]) ).
tcf(c_222997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180926]) ).
tcf(c_223000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180915]) ).
tcf(c_223002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180913]) ).
tcf(c_223013,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180935]) ).
tcf(c_223016,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180917]) ).
tcf(c_223018,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180906]) ).
tcf(c_223020,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_180904]) ).
tcf(c_223026,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223020]) ).
tcf(c_223027,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223018]) ).
tcf(c_223028,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223016]) ).
tcf(c_223030,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223013]) ).
tcf(c_223031,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223002]) ).
tcf(c_223032,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223000]) ).
tcf(c_223033,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_222997]) ).
tcf(c_223221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_203836]) ).
tcf(c_223308,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_190812]) ).
tcf(c_223310,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_178757]) ).
tcf(c_223518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182757]) ).
tcf(c_224171,plain,
! [X0: $i] :
( r(s(s(X0)),s(s(X0)))
| b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( s(X0) = X0 ) ),
inference(resolution,[status(thm)],[c_88316,c_59]) ).
tcf(c_224172,plain,
( r(s(s(z)),s(s(z)))
| b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z)))
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_224171]) ).
tcf(c_224206,plain,
! [X0: $i] :
( b(s(X0),X0)
| r(s(X0),X0)
| b(s(s(z)),X0)
| r(s(s(z)),X0) ),
inference(resolution,[status(thm)],[c_88316,c_56]) ).
tcf(c_224693,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_170346]) ).
tcf(c_224695,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_224693]) ).
tcf(c_224745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),X2)
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_187510]) ).
tcf(c_224746,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_224745]) ).
tcf(c_224967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_203855]) ).
tcf(c_225076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_162999]) ).
tcf(c_225077,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_225076]) ).
tcf(c_225096,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167320]) ).
tcf(c_225097,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_167303]) ).
tcf(c_225098,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_166831]) ).
tcf(c_225099,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_225098]) ).
tcf(c_225100,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_225097]) ).
tcf(c_225101,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_225096]) ).
tcf(c_225149,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_205171]) ).
tcf(c_225150,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_225149]) ).
tcf(c_225767,plain,
( r(s(s(z)),s(s(z)))
| b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(resolution,[status(thm)],[c_224206,c_59]) ).
tcf(c_226613,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(z,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_162811]) ).
tcf(c_226614,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_226613]) ).
tcf(c_226660,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_169198]) ).
tcf(c_226661,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_226660]) ).
tcf(c_227624,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_219409]) ).
tcf(c_227625,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_227624]) ).
tcf(c_227689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_160608]) ).
tcf(c_227690,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_227689]) ).
tcf(c_228205,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_160420]) ).
tcf(c_228206,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_228205]) ).
tcf(c_228482,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_169136]) ).
tcf(c_228483,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_228482]) ).
tcf(c_228531,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_169201]) ).
tcf(c_228532,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_228531]) ).
tcf(c_228533,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_169201]) ).
tcf(c_228534,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_228533]) ).
tcf(c_229653,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_198661]) ).
tcf(c_229654,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_229653]) ).
tcf(c_230625,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_207116]) ).
tcf(c_230626,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_230625]) ).
tcf(c_230635,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_207562]) ).
tcf(c_230636,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_230635]) ).
tcf(c_231648,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_219430]) ).
tcf(c_231649,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_231648]) ).
tcf(c_231722,plain,
( r(s(s(s(z))),s(s(z)))
| b(s(s(s(z))),s(s(z))) ),
inference(global_subsumption_just,[status(thm)],[c_225767,c_65,c_270,c_224172]) ).
tcf(c_231723,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(renaming,[status(thm)],[c_231722]) ).
tcf(c_232671,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_162829]) ).
tcf(c_232672,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_232671]) ).
tcf(c_234422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(s(X2)))),s(s(z)))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_175840]) ).
tcf(c_234423,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_234422]) ).
tcf(c_235007,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_196628]) ).
tcf(c_235008,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_235007]) ).
tcf(c_238105,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_213240]) ).
tcf(c_238106,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_238105]) ).
tcf(c_238128,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_216413]) ).
tcf(c_238129,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_238128]) ).
tcf(c_238336,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218577]) ).
tcf(c_238337,plain,
( ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_238336]) ).
tcf(c_238369,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_218595]) ).
tcf(c_238370,plain,
( ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_238369]) ).
tcf(c_238574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_162805]) ).
tcf(c_238575,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_238574]) ).
tcf(c_238581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(X1,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_162812]) ).
tcf(c_238582,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_238581]) ).
tcf(c_238588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_162813]) ).
tcf(c_238589,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(z)),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_238588]) ).
tcf(c_239773,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_176636]) ).
tcf(c_239941,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_203679]) ).
tcf(c_239942,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_161278]) ).
tcf(c_239950,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_239941]) ).
tcf(c_239957,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_199214]) ).
tcf(c_239963,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_239957]) ).
tcf(c_240766,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_214503]) ).
tcf(c_240767,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184951]) ).
tcf(c_240771,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_240766]) ).
tcf(c_241283,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188714]) ).
tcf(c_241428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_219707]) ).
tcf(c_241429,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_241428]) ).
tcf(c_241568,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_163660]) ).
tcf(c_241569,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_241568]) ).
tcf(c_241661,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(z,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_221954]) ).
tcf(c_241662,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_241661]) ).
tcf(c_241845,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_241283]) ).
tcf(c_241846,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_241845]) ).
tcf(c_244490,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_175407]) ).
tcf(c_244492,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_239773]) ).
tcf(c_244495,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_244492]) ).
tcf(c_244496,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_244490]) ).
tcf(c_245070,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_176326]) ).
tcf(c_245071,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_167435]) ).
tcf(c_245121,plain,
( ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245071]) ).
tcf(c_245122,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245070]) ).
tcf(c_245147,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_190661]) ).
tcf(c_245148,plain,
( ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245147]) ).
tcf(c_245151,plain,
! [X0: $i] :
( ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_207934]) ).
tcf(c_245159,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_188810]) ).
tcf(c_245160,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_188809]) ).
tcf(c_245166,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_183260]) ).
tcf(c_245168,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_183819]) ).
tcf(c_245179,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_172319]) ).
tcf(c_245180,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_172246]) ).
tcf(c_245183,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245180]) ).
tcf(c_245184,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245179]) ).
tcf(c_245187,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245168]) ).
tcf(c_245188,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245166]) ).
tcf(c_245189,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245160]) ).
tcf(c_245190,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245159]) ).
tcf(c_245191,plain,
( ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245151]) ).
tcf(c_245223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(z)))),s(X0)) ),
inference(instantiation,[status(thm)],[c_219707]) ).
tcf(c_245224,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_245223]) ).
tcf(c_245229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X0)) ),
inference(instantiation,[status(thm)],[c_219726]) ).
tcf(c_245233,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_245229]) ).
tcf(c_245766,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_166715]) ).
tcf(c_245767,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_245766]) ).
tcf(c_245872,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205824]) ).
tcf(c_245873,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_245872]) ).
tcf(c_245902,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_173559]) ).
tcf(c_245910,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_173483]) ).
tcf(c_245913,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(s(s(s(s(X0)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_173442]) ).
tcf(c_245916,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_245913]) ).
tcf(c_245918,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245910]) ).
tcf(c_245922,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(z)) ),
inference(instantiation,[status(thm)],[c_245902]) ).
tcf(c_245924,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(s(X1)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_216686]) ).
tcf(c_245929,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_245924]) ).
tcf(c_245947,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X0))
| ~ b(s(X0),s(X1))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(X0)) ),
inference(instantiation,[status(thm)],[c_223221]) ).
tcf(c_245948,plain,
( ~ b(s(z),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_245947]) ).
tcf(c_246336,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_208474]) ).
tcf(c_246337,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_246336]) ).
tcf(c_246619,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_211831]) ).
tcf(c_246620,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_246619]) ).
tcf(c_247143,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222191]) ).
tcf(c_247145,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_190608]) ).
tcf(c_247146,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_247145]) ).
tcf(c_247147,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_247143]) ).
tcf(c_247980,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_222688]) ).
tcf(c_247983,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_247980]) ).
tcf(c_248181,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_239942]) ).
tcf(c_248182,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248181]) ).
tcf(c_248235,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_240767]) ).
tcf(c_248236,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_248235]) ).
tcf(c_248334,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_161551]) ).
tcf(c_248335,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248334]) ).
tcf(c_248394,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164152]) ).
tcf(c_248395,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248394]) ).
tcf(c_248750,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_184510]) ).
tcf(c_248751,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248750]) ).
tcf(c_248947,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),s(X1))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203547]) ).
tcf(c_248948,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),s(z))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248947]) ).
tcf(c_248960,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203551]) ).
tcf(c_248961,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_248960]) ).
tcf(c_249324,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203594]) ).
tcf(c_249325,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_249324]) ).
tcf(c_249337,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_203595]) ).
tcf(c_249338,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_249337]) ).
tcf(c_249600,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205744]) ).
tcf(c_249601,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_249600]) ).
tcf(c_249703,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_206562]) ).
tcf(c_249704,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_249703]) ).
tcf(c_249705,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(s(X0)))))),z)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_206562]) ).
tcf(c_249706,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_249705]) ).
tcf(c_249885,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_221610]) ).
tcf(c_249886,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_249885]) ).
tcf(c_249902,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_222708]) ).
tcf(c_249903,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_249902]) ).
tcf(c_249985,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222980]) ).
tcf(c_249986,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_249985]) ).
tcf(c_249998,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222982]) ).
tcf(c_249999,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_249998]) ).
tcf(c_250904,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166298]) ).
tcf(c_250905,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_250904]) ).
tcf(c_251039,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),X1)
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_166474]) ).
tcf(c_251040,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_251039]) ).
tcf(c_251047,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_166478]) ).
tcf(c_251048,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_251047]) ).
tcf(c_251230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_167522]) ).
tcf(c_251231,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_251230]) ).
tcf(c_251848,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(X1,s(s(s(s(s(s(X0)))))))
| ~ b(s(z),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_174797]) ).
tcf(c_251849,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(z),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_251848]) ).
tcf(c_251962,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_175864]) ).
tcf(c_251963,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_251962]) ).
tcf(c_252191,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(s(s(X1)))))),z)
| ~ b(s(s(s(s(s(s(X1)))))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_181792]) ).
tcf(c_252192,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_252191]) ).
tcf(c_252333,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_184733]) ).
tcf(c_252334,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_252333]) ).
tcf(c_252344,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X1)))))))
| ~ b(s(s(s(s(s(s(X1)))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_184750]) ).
tcf(c_252345,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_252344]) ).
tcf(c_252413,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185209]) ).
tcf(c_252414,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_252413]) ).
tcf(c_252643,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_192827]) ).
tcf(c_252644,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_252643]) ).
tcf(c_252673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(s(z))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195903]) ).
tcf(c_252674,plain,
( ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_252673]) ).
tcf(c_252685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X2)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_195911]) ).
tcf(c_252686,plain,
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_252685]) ).
tcf(c_253956,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205823]) ).
tcf(c_253957,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_253956]) ).
tcf(c_254096,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207001]) ).
tcf(c_254097,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_254096]) ).
tcf(c_254998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_220794]) ).
tcf(c_254999,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_254998]) ).
tcf(c_255048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_220803]) ).
tcf(c_255049,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_255048]) ).
tcf(c_255098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(s(s(s(X0)))))),X1)
| ~ r(s(s(s(s(s(s(X0)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_221599]) ).
tcf(c_255099,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(s(z)))))),z)
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_255098]) ).
tcf(c_255121,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),z)
| ~ b(s(s(X1)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_222422]) ).
tcf(c_255122,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_255121]) ).
tcf(c_255220,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_222726]) ).
tcf(c_255221,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255220]) ).
tcf(c_255348,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_222988]) ).
tcf(c_255349,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255348]) ).
tcf(c_255359,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_222989]) ).
tcf(c_255360,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),z)
| ~ b(s(s(z)),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255359]) ).
tcf(c_255384,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_223013]) ).
tcf(c_255385,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(s(z)))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255384]) ).
tcf(c_255441,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(s(X0)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_223018]) ).
tcf(c_255442,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(s(z)))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255441]) ).
tcf(c_255462,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(X0)))))),s(X1))
| ~ b(s(s(s(s(s(s(X0)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_223020]) ).
tcf(c_255463,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(s(z)))))),s(z))
| ~ b(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255462]) ).
tcf(c_255549,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_223308]) ).
tcf(c_255550,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_255549]) ).
tcf(c_255585,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(s(X1)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(X1)))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(s(X1))))))) ),
inference(instantiation,[status(thm)],[c_223310]) ).
tcf(c_255586,plain,
( ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(s(z)))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(s(z)))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(s(z))))))) ),
inference(instantiation,[status(thm)],[c_255585]) ).
tcf(c_255750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_223518]) ).
tcf(c_255751,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_255750]) ).
tcf(c_255926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_224967]) ).
tcf(c_255927,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_255926]) ).
tcf(c_255973,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_255927,c_255751,c_255586,c_255550,c_255463,c_255442,c_255385,c_255360,c_255349,c_255221,c_255122,c_255099,c_255049,c_254999,c_254097,c_253957,c_252686,c_252674,c_252644,c_252414,c_252345,c_252334,c_252192,c_251963,c_251849,c_251231,c_251048,c_251040,c_250905,c_249999,c_249986,c_249903,c_249886,c_249706,c_249704,c_249601,c_249338,c_249325,c_248961,c_248948,c_248751,c_248395,c_248335,c_248236,c_248182,c_247983,c_247147,c_247146,c_246620,c_246337,c_245948,c_245929,c_245922,c_245918,c_245916,c_245873,c_245767,c_245233,c_245224,c_245191,c_245190,c_245189,c_245188,c_245187,c_245184,c_245183,c_245148,c_245122,c_245121,c_244496,c_244495,c_241846,c_241662,c_241569,c_241429,c_240771,c_239963,c_239950,c_238589,c_238582,c_238575,c_238370,c_238337,c_238129,c_238106,c_235008,c_234423,c_232672,c_231723,c_231649,c_230636,c_230626,c_229654,c_228534,c_228532,c_228483,c_228206,c_227690,c_227625,c_226661,c_226614,c_225150,c_225101,c_225100,c_225099,c_225077,c_224746,c_224695,c_223033,c_223032,c_223031,c_223030,c_223028,c_223027,c_223026,c_222986,c_222985,c_222789,c_222481,c_220654,c_220310,c_219755,c_219742,c_219741,c_219730,c_219729,c_219308,c_219297,c_218596,c_218502,c_218340,c_218289,c_218179,c_218158,c_217503,c_217501,c_216747,c_216090,c_214232,c_214071,c_214069,c_213789,c_213121,c_209348,c_208038,c_206663,c_205771,c_205770,c_205769,c_205766,c_205639,c_205638,c_205637,c_203801,c_203607,c_203606,c_203605,c_203586,c_203480,c_203281,c_203280,c_203279,c_203278,c_203222,c_203190,c_203189,c_201687,c_196759,c_196758,c_196757,c_196698,c_196697,c_196686,c_196685,c_196684,c_196662,c_196632,c_196630,c_195984,c_195943,c_195942,c_195902,c_195901,c_195889,c_195878,c_195877,c_194943,c_194872,c_188805,c_188804,c_188803,c_188802,c_187486,c_186877,c_186528,c_186155,c_184751,c_184734,c_184609,c_183977,c_182613,c_181793,c_179484,c_179071,c_178768,c_175447,c_175068,c_174767,c_174746,c_174507,c_174167,c_173771,c_173534,c_173531,c_173485,c_173477,c_173470,c_173444,c_173443,c_173434,c_173431,c_173430,c_173429,c_173360,c_173335,c_173331,c_171229,c_171087,c_170161,c_169721,c_168948,c_168941,c_167398,c_167377,c_166717,c_166655,c_166632,c_166581,c_166481,c_166324,c_166323,c_166322,c_166321,c_166320,c_164188,c_164104,c_162856,c_161596,c_160609,c_158573,c_158492,c_158471,c_157957,c_156929,c_156926,c_156919,c_156918,c_156606,c_156475,c_156377,c_156163,c_156155,c_156067,c_156066,c_156065,c_155522,c_155515,c_155514,c_155513,c_154314,c_154313,c_153709,c_153459,c_153458,c_153457,c_153414,c_153413,c_153411,c_153410,c_153409,c_153408,c_153407,c_153406,c_153405,c_153404,c_153403,c_152192,c_152134,c_152086,c_150712,c_148623,c_148605,c_148604,c_148584,c_148585,c_148504,c_148492,c_148151,c_148150,c_146604,c_146603,c_146509,c_146100,c_145891,c_145124,c_145123,c_145120,c_145119,c_145118,c_145112,c_145108,c_145107,c_145091,c_145089,c_145088,c_145087,c_145086,c_145083,c_144606,c_144511,c_144493,c_144492,c_144469,c_143618,c_142782,c_141654,c_141153,c_140036,c_139875,c_139854,c_139331,c_139193,c_138751,c_138700,c_138689,c_138309,c_138281,c_138243,c_138236,c_137948,c_137698,c_137664,c_137428,c_136637,c_136407,c_135710,c_135690,c_134735,c_134722,c_134468,c_134230,c_133600,c_133360,c_133329,c_133200,c_133154,c_133103,c_132448,c_131701,c_131083,c_130883,c_130581,c_130548,c_130452,c_130154,c_130150,c_130148,c_130118,c_130114,c_130024,c_129989,c_129876,c_129648,c_127353,c_127313,c_126586,c_126484,c_124886,c_124622,c_123819,c_121183,c_121171,c_119299,c_119293,c_117714,c_117696,c_117616,c_116195,c_116155,c_114856,c_114838,c_114656,c_114471,c_114458,c_114455,c_114454,c_114453,c_114452,c_114450,c_114449,c_114418,c_114417,c_114403,c_114402,c_114401,c_114400,c_114210,c_113620,c_112489,c_112471,c_112318,c_112300,c_112167,c_111880,c_111688,c_111592,c_111432,c_111419,c_111327,c_111314,c_110490,c_110417,c_110155,c_109945,c_109943,c_109742,c_109666,c_109647,c_109546,c_109491,c_109490,c_109489,c_109488,c_109463,c_109462,c_109461,c_109460,c_109459,c_109458,c_108778,c_108176,c_108170,c_108169,c_108168,c_108159,c_108158,c_108152,c_108151,c_108150,c_108149,c_108148,c_108147,c_108146,c_108145,c_108144,c_108122,c_108114,c_108107,c_108095,c_108094,c_107921,c_107752,c_107231,c_106784,c_106645,c_106307,c_106305,c_106303,c_106301,c_106300,c_105991,c_105983,c_105981,c_105980,c_105979,c_105978,c_105977,c_105976,c_105975,c_105974,c_105973,c_105972,c_105971,c_105970,c_105968,c_105620,c_104592,c_104582,c_103915,c_103826,c_103812,c_103798,c_103746,c_103739,c_103653,c_103646,c_103639,c_103632,c_103625,c_103599,c_103592,c_102855,c_102850,c_102782,c_102779,c_102762,c_102092,c_101811,c_99495,c_99462,c_99453,c_98809,c_98780,c_98745,c_98724,c_98482,c_97601,c_97586,c_97557,c_97542,c_97484,c_97469,c_97431,c_97424,c_97409,c_97127,c_96936,c_96822,c_96477,c_96468,c_96459,c_96438,c_96426,c_96294,c_96191,c_96184,c_96066,c_96010,c_96001,c_95992,c_95495,c_95485,c_94798,c_94791,c_94770,c_94768,c_94706,c_94705,c_94627,c_94626,c_94625,c_94624,c_94623,c_94622,c_94621,c_94620,c_94619,c_94585,c_94584,c_94583,c_94522,c_94060,c_94059,c_94048,c_93999,c_93998,c_93995,c_93994,c_93992,c_93991,c_93990,c_93989,c_93988,c_93986,c_93985,c_93984,c_93940,c_93937,c_93936,c_93888,c_93329,c_92831,c_92705,c_92704,c_92703,c_92702,c_92701,c_92654,c_92653,c_92652,c_92651,c_92650,c_92649,c_92648,c_92647,c_92646,c_92621,c_92620,c_92619,c_92618,c_92617,c_92616,c_92615,c_92488,c_92471,c_92470,c_92469,c_92468,c_91771,c_91099,c_91097,c_90903,c_89290,c_89289,c_89273,c_87983,c_87582,c_87398,c_87037,c_86353,c_86130,c_85509,c_85508,c_85486,c_85477,c_85476,c_85432,c_85392,c_85391,c_85139,c_85133,c_85040,c_85039,c_85038,c_85037,c_85036,c_85023,c_85020,c_85019,c_85002,c_84999,c_84998,c_84996,c_84995,c_84994,c_84993,c_84992,c_84991,c_84990,c_84989,c_84988,c_84897,c_84896,c_84625,c_84124,c_84087,c_83625,c_83605,c_83582,c_82761,c_82292,c_81768,c_81764,c_81715,c_80928,c_80856,c_80837,c_80818,c_80474,c_80456,c_78843,c_78405,c_78042,c_77737,c_77686,c_77554,c_77550,c_77524,c_77486,c_77482,c_77410,c_77406,c_77394,c_77390,c_77369,c_77086,c_77082,c_76952,c_76522,c_76449,c_76415,c_76317,c_76192,c_76179,c_75925,c_75924,c_75923,c_75700,c_75699,c_75698,c_75689,c_75688,c_75686,c_75685,c_75683,c_75681,c_75680,c_75679,c_75634,c_75633,c_75631,c_75601,c_75596,c_75595,c_75583,c_75582,c_75555,c_75554,c_75100,c_74948,c_74947,c_74898,c_74307,c_74299,c_74283,c_74266,c_74242,c_74237,c_74211,c_74210,c_74190,c_73346,c_73268,c_73222,c_72418,c_72287,c_72272,c_72027,c_71826,c_71797,c_70151,c_70150,c_69748,c_69719,c_69645,c_69623,c_69113,c_69109,c_69092,c_68314,c_68313,c_68278,c_68255,c_68254,c_68252,c_68251,c_68250,c_68249,c_68248,c_68247,c_68246,c_68244,c_68221,c_68220,c_68219,c_68218,c_68201,c_68200,c_68197,c_68196,c_68195,c_68194,c_68193,c_68192,c_68191,c_68190,c_68189,c_68188,c_68187,c_68186,c_68185,c_68184,c_67793,c_67613,c_67612,c_67611,c_67610,c_67609,c_67608,c_67607,c_67335,c_67300,c_67294,c_67286,c_67276,c_67275,c_67274,c_67273,c_66026,c_65579,c_65118,c_64098,c_64085,c_63576,c_63252,c_63131,c_62462,c_62441,c_62409,c_62154,c_61235,c_61212,c_59540,c_59488,c_59248,c_59246,c_59117,c_59116,c_58970,c_58885,c_58880,c_58812,c_58802,c_58639,c_58625,c_58615,c_58598,c_58597,c_58596,c_58590,c_58589,c_58588,c_58547,c_58546,c_58506,c_58411,c_58381,c_58356,c_58355,c_58348,c_58343,c_58342,c_58341,c_58321,c_57142,c_57066,c_56981,c_56980,c_56976,c_56969,c_56964,c_56963,c_56962,c_56961,c_56884,c_56865,c_56857,c_56849,c_56845,c_54432,c_54431,c_54430,c_54398,c_54393,c_54392,c_54391,c_54390,c_54377,c_53060,c_53056,c_53032,c_53003,c_53002,c_53001,c_53000,c_52998,c_52964,c_52932,c_52931,c_52739,c_52735,c_52711,c_52682,c_52681,c_52680,c_52679,c_52678,c_52613,c_52612,c_51387,c_49320,c_49086,c_48985,c_47589,c_45502,c_44742,c_44630,c_44610,c_44556,c_44547,c_44546,c_44545,c_42148,c_42141,c_42048,c_41618,c_41613,c_41354,c_41349,c_40738,c_40678,c_40633,c_40620,c_40588,c_40158,c_40148,c_40147,c_40142,c_40141,c_40121,c_40118,c_40071,c_39961,c_39942,c_39770,c_39756,c_39725,c_39687,c_39679,c_39373,c_39358,c_39357,c_39356,c_39355,c_39354,c_39320,c_39319,c_39318,c_39317,c_39316,c_39315,c_39314,c_39313,c_39312,c_39291,c_39288,c_38522,c_38515,c_38292,c_37949,c_37948,c_37846,c_37764,c_37674,c_36806,c_36669,c_36657,c_36656,c_36585,c_36584,c_36583,c_36582,c_36581,c_36578,c_36577,c_36576,c_36574,c_36573,c_36198,c_36178,c_36177,c_36176,c_36175,c_36110,c_36109,c_36108,c_36022,c_35789,c_35614,c_34568,c_34486,c_34128,c_34109,c_34079,c_34017,c_33808,c_33807,c_33557,c_33023,c_33009,c_32656,c_32576,c_31880,c_31667,c_31166,c_30893,c_30761,c_30749,c_30385,c_29542,c_29499,c_28879,c_28063,c_27958,c_27801,c_27800,c_27799,c_27756,c_27441,c_27400,c_27399,c_27393,c_27392,c_27387,c_27386,c_27383,c_27382,c_27351,c_27292,c_27291,c_27289,c_27288,c_27287,c_27286,c_27193,c_27192,c_27191,c_27190,c_27171,c_27170,c_27132,c_27104,c_27103,c_27102,c_27101,c_27100,c_27099,c_26907,c_26866,c_26631,c_26509,c_26433,c_26287,c_26274,c_26242,c_26097,c_25983,c_25898,c_25880,c_25812,c_25768,c_25750,c_25712,c_25646,c_25588,c_25566,c_25467,c_25317,c_25009,c_24997,c_24984,c_24925,c_24854,c_24735,c_24498,c_24483,c_23408,c_23396,c_23394,c_23383,c_22866,c_22018,c_21978,c_21639,c_21320,c_21295,c_21294,c_21291,c_21290,c_21268,c_21267,c_21266,c_21265,c_21229,c_21228,c_21227,c_21226,c_21225,c_21224,c_21223,c_21170,c_21169,c_20479,c_20136,c_20134,c_19823,c_19802,c_19800,c_19673,c_19671,c_18719,c_18717,c_18703,c_18702,c_18694,c_18692,c_18685,c_18684,c_18658,c_18650,c_18637,c_18618,c_18617,c_18616,c_18589,c_18576,c_18575,c_18574,c_18563,c_18546,c_18545,c_18516,c_18511,c_18509,c_18501,c_18500,c_18493,c_18486,c_18485,c_18484,c_18475,c_18471,c_18397,c_18372,c_16660,c_16658,c_16005,c_15811,c_15772,c_15519,c_15517,c_15181,c_15175,c_14973,c_11729,c_11422,c_11421,c_11420,c_11419,c_11407,c_11371,c_11370,c_11093,c_11091,c_11090,c_11089,c_11085,c_11084,c_11072,c_11071,c_11057,c_11036,c_11035,c_11034,c_10700,c_10695,c_10648,c_9045,c_8921,c_8892,c_8886,c_8337,c_7394,c_7261,c_7260,c_7259,c_7258,c_7257,c_7256,c_7255,c_7254,c_7252,c_7090,c_7089,c_7083,c_7082,c_7081,c_7080,c_7079,c_7078,c_7077,c_7076,c_7075,c_6373,c_5888,c_5818,c_5782,c_5419,c_5236,c_5167,c_5166,c_5091,c_5003,c_4975,c_4816,c_4808,c_4757,c_4725,c_4153,c_3964,c_3953,c_3735,c_3608,c_3561,c_3556,c_3107,c_3071,c_3019,c_2992,c_2941,c_2938,c_2833,c_2741,c_2685,c_2683,c_2191,c_2190,c_2189,c_2188,c_2187,c_2186,c_2185,c_2184,c_2183,c_2182,c_2104,c_2103,c_2102,c_2093,c_2092,c_2091,c_2090,c_2089,c_2087,c_2086,c_1881,c_1873,c_1862,c_1861,c_1789,c_1774,c_1494,c_1486,c_1024,c_992,c_916,c_815,c_787,c_668,c_663,c_403,c_400,c_397,c_380,c_270,c_200,c_167,c_154,c_153,c_139,c_108,c_98,c_91,c_81,c_79,c_66,c_65,c_64,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA140-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Wed Sep 23 12:59:47 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 117.97/23.99 % SZS status Started for theBenchmark.p
% 117.97/23.99 % SZS status Unsatisfiable for theBenchmark.p
% 117.97/23.99
% 117.97/23.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 117.97/23.99
% 117.97/23.99 % ------ iProver source info
% 117.97/23.99
% 117.97/23.99 % git: date: 2026-07-19 20:42:38 +0200
% 117.97/23.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 117.97/23.99 % git: non_committed_changes: false
% 117.97/23.99
% 117.97/23.99 % ------ Parsing...% successful
% 117.97/23.99
% 117.97/23.99
% 117.97/23.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 117.97/23.99
% 117.97/23.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 117.97/23.99
% 117.97/23.99 % ------ Preprocessing...%
% 117.97/23.99
% 117.97/23.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 117.97/23.99 % ------ Proving...
% 117.97/23.99 % ------ Problem Properties
% 117.97/23.99
% 117.97/23.99 %
% 117.97/23.99 % clauses 7
% 117.97/23.99 % conjectures 0
% 117.97/23.99 % EPR 5
% 117.97/23.99 % Horn 6
% 117.97/23.99 % unary 3
% 117.97/23.99 % binary 1
% 117.97/23.99 % lits 17
% 117.97/23.99 % lits eq 4
% 117.97/23.99 % fd_pure 0
% 117.97/23.99 % fd_pseudo 0
% 117.97/23.99 % fd_cond 0
% 117.97/23.99 % fd_pseudo_cond 2
% 117.97/23.99 % AC symbols 0
% 117.97/23.99
% 117.97/23.99 % ------ Input Options Time Limit: Unbounded
% 117.97/23.99
% 117.97/23.99
% 117.97/23.99 % ------
% 117.97/23.99 % Current options:
% 117.97/23.99 % ------
% 117.97/23.99
% 117.97/23.99
% 117.97/23.99 %
% 117.97/23.99
% 117.97/23.99 % ------ Proving...
% 117.97/23.99 %
% 117.97/23.99
% 117.97/23.99 % SZS status Unsatisfiable for theBenchmark.p
% 117.97/23.99
% 117.97/23.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 131.50/24.11
% 131.50/24.11
%------------------------------------------------------------------------------