%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA135-1 : 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 01:23:56 PM UTC 2026
% Result : Unsatisfiable 112.37s 15.90s
% Output : CNFRefutation 112.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 1643 ( 37 unt; 0 def)
% Number of atoms : 7356 ( 341 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 12458 (6745 ~;5713 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 6 ( 2 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 : 3671 ( 0 sgn3671 !; 0 ?;3655 :)
% 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(X1,X3)
| ~ r(X0,X3)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X1,X4)
| ~ b(X2,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(X1,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,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
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_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(s(X0),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_94,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_99,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_100,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_99]) ).
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_135,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_130,c_60]) ).
tcf(c_143,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_135,c_56]) ).
tcf(c_144,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( b(s(X1),s(X0))
| r(s(X1),s(X0))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_135,c_57]) ).
tcf(c_149,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_150,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_156,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_167,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_168,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_170,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_223,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_224,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_135]) ).
tcf(c_226,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_227,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),z)
| ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_107]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(z,s(X1))
| ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_143]) ).
tcf(c_296,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_298,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_362,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_364,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_365,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_373,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_375,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_392,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_223,c_57]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_317]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_317]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),X1)
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_317]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X3),z)
| r(s(X1),s(X3))
| ( X1 = X3 )
| ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_291,c_121]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_291,c_143]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X3),z)
| r(s(X1),s(X3))
| ( X3 = X1 )
| ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_291,c_145]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_511,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_512,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_511]) ).
tcf(c_553,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_554,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_932,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_943,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_944,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X0)
| ~ r(X0,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_482]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1009,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_156]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_626]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_933]) ).
tcf(c_1030,plain,
( ~ r(s(z),s(z))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_1045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X0))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_939]) ).
tcf(c_1046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_926]) ).
tcf(c_1049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_1062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_935]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),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_939]) ).
tcf(c_1115,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_984]) ).
tcf(c_1116,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1115]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(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_967]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1127,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(z),s(z)) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1015]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_935]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),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_939]) ).
tcf(c_1173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_951]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1281,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1025]) ).
tcf(c_1296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_509]) ).
tcf(c_1297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_509]) ).
tcf(c_1330,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_224,c_57]) ).
tcf(c_1354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ 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_1040]) ).
tcf(c_1366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1040]) ).
tcf(c_1369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1045]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1045]) ).
tcf(c_1372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1050]) ).
tcf(c_1374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1046]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1046]) ).
tcf(c_1377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1046]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(X2,s(X4))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_1414,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_1415,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1414]) ).
tcf(c_1416,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_1422,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_1423,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1422]) ).
tcf(c_1442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1066]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_1779,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_1009]) ).
tcf(c_1780,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_1779]) ).
tcf(c_1794,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_1009]) ).
tcf(c_1795,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_1794]) ).
tcf(c_1812,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_1009]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(s(z)),X3)
| ~ 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_1018]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1383]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1382]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1354]) ).
tcf(c_1941,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_1944,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1941]) ).
tcf(c_1958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(X3,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1383]) ).
tcf(c_1960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_2322,plain,
! [X0: $i] : ~ b(s(s(s(X0))),s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_2333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),z)
| ~ 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_1130]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_2392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1374]) ).
tcf(c_2393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_2470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1442]) ).
tcf(c_2471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ 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_1366]) ).
tcf(c_2473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_1296]) ).
tcf(c_2475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_2476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1149]) ).
tcf(c_2480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ 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_1065]) ).
tcf(c_2485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(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_1124]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( ~ 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_1281]) ).
tcf(c_2489,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1060]) ).
tcf(c_2496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ 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_1011]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_2500,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2497]) ).
tcf(c_2501,plain,
( ~ 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_2496]) ).
tcf(c_2503,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2489]) ).
tcf(c_2504,plain,
( ~ 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_2485]) ).
tcf(c_2506,plain,
( ~ r(s(s(z)),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_2480]) ).
tcf(c_2507,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_2508,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2470]) ).
tcf(c_2510,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(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1369]) ).
tcf(c_2512,plain,
( ~ 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_2511]) ).
tcf(c_2517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1363]) ).
tcf(c_2548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1366]) ).
tcf(c_2553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1149]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1069]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ 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_1065]) ).
tcf(c_2558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1062]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1173]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1060]) ).
tcf(c_2571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_2573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1011]) ).
tcf(c_2578,plain,
( ~ 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_2573]) ).
tcf(c_2580,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2566]) ).
tcf(c_2581,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2559]) ).
tcf(c_2582,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2557]) ).
tcf(c_2583,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2553]) ).
tcf(c_2585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_2586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1369]) ).
tcf(c_2591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1363]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X0)
| ~ r(X0,s(X2))
| ~ r(X1,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_2955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(s(z)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1142]) ).
tcf(c_2957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X0))
| ~ r(s(X0),X2)
| ~ r(X1,s(s(z)))
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_2971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_2992,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(X0)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_3011,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_149]) ).
tcf(c_3012,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_3011]) ).
tcf(c_3016,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_511]) ).
tcf(c_3017,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_3016]) ).
tcf(c_3037,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_226]) ).
tcf(c_3038,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_3037]) ).
tcf(c_3043,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_553]) ).
tcf(c_3044,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3043]) ).
tcf(c_3120,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2586]) ).
tcf(c_3121,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3120]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),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_2556]) ).
tcf(c_3180,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_1812]) ).
tcf(c_3205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(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_2471]) ).
tcf(c_3224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),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_2475]) ).
tcf(c_3291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2517]) ).
tcf(c_3304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2548]) ).
tcf(c_3384,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(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2585]) ).
tcf(c_3385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2585]) ).
tcf(c_3394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2591]) ).
tcf(c_3521,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_3522,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3521]) ).
tcf(c_3555,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_3556,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_3566,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_3567,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3566]) ).
tcf(c_3581,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_99]) ).
tcf(c_3582,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3581]) ).
tcf(c_3607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_3684,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2992]) ).
tcf(c_3719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2971]) ).
tcf(c_3828,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1416]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3205]) ).
tcf(c_3892,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3894,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3895,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3894]) ).
tcf(c_3897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(z)))
| ~ r(s(X0),s(s(z)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3903,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,X0)
| ~ r(X1,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),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_3224]) ).
tcf(c_3989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ 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_3291]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2955]) ).
tcf(c_4165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3304]) ).
tcf(c_4209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3385]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1381]) ).
tcf(c_4268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1380]) ).
tcf(c_4273,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_4275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(z),X3)
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1018]) ).
tcf(c_4276,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4273]) ).
tcf(c_4284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1356]) ).
tcf(c_4290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1382]) ).
tcf(c_4292,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1376]) ).
tcf(c_4293,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4292]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(X2),s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1750]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2391]) ).
tcf(c_4339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2394]) ).
tcf(c_4340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2392]) ).
tcf(c_4342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),z)
| ~ 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_2345]) ).
tcf(c_4343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),z)
| ~ 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_2333]) ).
tcf(c_4353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1354]) ).
tcf(c_4356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_4357,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_4358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1051]) ).
tcf(c_4359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1018]) ).
tcf(c_4360,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4357]) ).
tcf(c_4374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(z))
| ~ b(s(z),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_4405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1381]) ).
tcf(c_4408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1354]) ).
tcf(c_4411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_4412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_4413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1051]) ).
tcf(c_4422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1355]) ).
tcf(c_4665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1381]) ).
tcf(c_4668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1354]) ).
tcf(c_4671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_4672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1126]) ).
tcf(c_4675,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4672]) ).
tcf(c_4685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1129]) ).
tcf(c_4687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1382]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1376]) ).
tcf(c_4801,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3828]) ).
tcf(c_4802,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4801]) ).
tcf(c_4807,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_3828]) ).
tcf(c_4812,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3828]) ).
tcf(c_4813,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4812]) ).
tcf(c_4840,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4044]) ).
tcf(c_4889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(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_3845]) ).
tcf(c_5005,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( X1 != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_3607]) ).
tcf(c_5006,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_5007,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_5006]) ).
tcf(c_5346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3897]) ).
tcf(c_5347,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5346]) ).
tcf(c_5392,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(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4209]) ).
tcf(c_5497,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(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4165]) ).
tcf(c_5629,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_3180]) ).
tcf(c_5630,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_5629]) ).
tcf(c_5648,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_3180]) ).
tcf(c_5649,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_5648]) ).
tcf(c_5710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,z)
| ~ r(s(X0),z)
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_5714,plain,
! [X0: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(z)))
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3903]) ).
tcf(c_5715,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5714]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1958]) ).
tcf(c_5797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_459]) ).
tcf(c_5914,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_3180]) ).
tcf(c_5955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_6008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4268]) ).
tcf(c_6009,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6008]) ).
tcf(c_6031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4339]) ).
tcf(c_6042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4412]) ).
tcf(c_6043,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_6042]) ).
tcf(c_6048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4672]) ).
tcf(c_6049,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_6048]) ).
tcf(c_6308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4294]) ).
tcf(c_6327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4374]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4290]) ).
tcf(c_6413,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6412]) ).
tcf(c_6428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4356]) ).
tcf(c_6429,plain,
( ~ 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_6428]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_4275]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4685]) ).
tcf(c_6459,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(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_6458]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_6480,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_6479]) ).
tcf(c_6518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4359]) ).
tcf(c_6524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4359]) ).
tcf(c_6588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4408]) ).
tcf(c_6607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4284]) ).
tcf(c_6608,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_6607]) ).
tcf(c_6655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4353]) ).
tcf(c_6656,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),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_6655]) ).
tcf(c_6667,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(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4358]) ).
tcf(c_6684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ 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_4422]) ).
tcf(c_6729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(z))
| ~ b(s(X0),s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4687]) ).
tcf(c_6748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X1),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4405]) ).
tcf(c_6752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4405]) ).
tcf(c_6757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X3),s(z))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4668]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),X3)
| ~ b(s(X4),s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4668]) ).
tcf(c_6784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4413]) ).
tcf(c_6818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X1),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4665]) ).
tcf(c_7021,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(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5392]) ).
tcf(c_7022,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)))) ),
inference(instantiation,[status(thm)],[c_7021]) ).
tcf(c_7024,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(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4889]) ).
tcf(c_7046,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3179]) ).
tcf(c_7053,plain,
( ~ r(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_7046]) ).
tcf(c_7058,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)))) ),
inference(instantiation,[status(thm)],[c_7024]) ).
tcf(c_7094,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_392,c_56]) ).
tcf(c_7095,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_392,c_57]) ).
tcf(c_7097,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_392,c_129]) ).
tcf(c_7255,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3989]) ).
tcf(c_7258,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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3958]) ).
tcf(c_7262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3394]) ).
tcf(c_7263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3384]) ).
tcf(c_7271,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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7258]) ).
tcf(c_7274,plain,
( ~ 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_7255]) ).
tcf(c_7288,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_7094,c_59]) ).
tcf(c_7289,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_7288]) ).
tcf(c_7448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5955]) ).
tcf(c_7475,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(X0))
| ~ r(X1,s(s(z)))
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3903]) ).
tcf(c_7604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1059]) ).
tcf(c_7725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_7728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_5710]) ).
tcf(c_7793,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(s(X0)))))
| ( s(s(s(s(X0)))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_5914]) ).
tcf(c_7794,plain,
! [X0: $i] : ~ r(s(s(s(s(X0)))),s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_7795,plain,
( b(s(s(s(s(z)))),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_7793]) ).
tcf(c_7796,plain,
~ r(s(s(s(s(z)))),s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_7794]) ).
tcf(c_8158,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(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5497]) ).
tcf(c_8196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X0),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_5797]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6042]) ).
tcf(c_8234,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8233]) ).
tcf(c_8237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6048]) ).
tcf(c_8238,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8237]) ).
tcf(c_8325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6518]) ).
tcf(c_8416,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_8445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6308]) ).
tcf(c_8452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_6327]) ).
tcf(c_8453,plain,
( ~ b(z,s(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_8452]) ).
tcf(c_8513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6667]) ).
tcf(c_8522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(X2)))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6729]) ).
tcf(c_8523,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_8522]) ).
tcf(c_8528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6479]) ).
tcf(c_8546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6524]) ).
tcf(c_8547,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_8546]) ).
tcf(c_8582,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(z)) ),
inference(instantiation,[status(thm)],[c_6440]) ).
tcf(c_8682,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_7288,c_56,c_78,c_99,c_167,c_226]) ).
tcf(c_8704,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),z)
| r(s(z),s(s(X1)))
| r(s(s(X1)),s(X2))
| ( s(X1) = X2 )
| ~ b(s(z),z)
| ~ b(X0,s(z))
| ~ b(X0,s(s(X1))) ),
inference(resolution,[status(thm)],[c_8682,c_498]) ).
tcf(c_8705,plain,
( r(s(z),z)
| r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( s(z) = z )
| ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_8704]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ 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_6684]) ).
tcf(c_8733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6757]) ).
tcf(c_8790,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_499,c_107]) ).
tcf(c_8828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X3)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6588]) ).
tcf(c_8829,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_8828]) ).
tcf(c_8834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ 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_6748]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(s(X3)),s(z))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6752]) ).
tcf(c_8845,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_8844]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),X3)
| ~ b(s(X4),s(X1))
| ~ 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_6758]) ).
tcf(c_8904,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_1330,c_56]) ).
tcf(c_8938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6784]) ).
tcf(c_8977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X1),s(X3))
| ~ 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_6818]) ).
tcf(c_9020,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_1779]) ).
tcf(c_9021,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_9020]) ).
tcf(c_9028,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_1794]) ).
tcf(c_9029,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_9028]) ).
tcf(c_9164,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_8904,c_59]) ).
tcf(c_9165,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_9164]) ).
tcf(c_9247,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z)) ),
inference(global_subsumption_just,[status(thm)],[c_9164,c_56,c_90,c_149]) ).
tcf(c_9386,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7728]) ).
tcf(c_9387,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9386]) ).
tcf(c_9585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ 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_7262]) ).
tcf(c_9586,plain,
( ~ 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)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9585]) ).
tcf(c_9593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7263]) ).
tcf(c_9594,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))))) ),
inference(instantiation,[status(thm)],[c_9593]) ).
tcf(c_9869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8582]) ).
tcf(c_10146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_10153,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10146]) ).
tcf(c_10164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X0),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8196]) ).
tcf(c_10167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_10169,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10167]) ).
tcf(c_10171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7448]) ).
tcf(c_10178,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_10179,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10178]) ).
tcf(c_10180,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10171]) ).
tcf(c_10186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(s(X2)),X3)
| ~ r(s(s(X2)),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1297]) ).
tcf(c_10360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ 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_8733]) ).
tcf(c_10361,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_10360]) ).
tcf(c_10404,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),X1)
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_10410,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_10436,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_586]) ).
tcf(c_10598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1960]) ).
tcf(c_10599,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)))) ),
inference(instantiation,[status(thm)],[c_10598]) ).
tcf(c_10606,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2556]) ).
tcf(c_10607,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10606]) ).
tcf(c_10608,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_2556]) ).
tcf(c_10609,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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_10647,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_3037]) ).
tcf(c_10648,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_10647]) ).
tcf(c_10756,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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8418]) ).
tcf(c_10757,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10756]) ).
tcf(c_11415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_5761]) ).
tcf(c_11452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8528]) ).
tcf(c_11453,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11452]) ).
tcf(c_11454,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8528]) ).
tcf(c_11455,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)))) ),
inference(instantiation,[status(thm)],[c_11454]) ).
tcf(c_11582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8977]) ).
tcf(c_11583,plain,
( ~ 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_11582]) ).
tcf(c_11613,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(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1872]) ).
tcf(c_11633,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(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1887]) ).
tcf(c_11634,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(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_11633]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),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_1937]) ).
tcf(c_12248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ 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_8834]) ).
tcf(c_12249,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12248]) ).
tcf(c_12250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ 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_8834]) ).
tcf(c_12251,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_12250]) ).
tcf(c_12402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8938]) ).
tcf(c_12580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2393]) ).
tcf(c_12582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4671]) ).
tcf(c_12583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(X1))),z)
| ~ 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_4343]) ).
tcf(c_12586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X2)
| ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4411]) ).
tcf(c_12587,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_12586]) ).
tcf(c_12588,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12582]) ).
tcf(c_12589,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12580]) ).
tcf(c_12609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(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_4342]) ).
tcf(c_12614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4356]) ).
tcf(c_12621,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12614]) ).
tcf(c_12638,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_481]) ).
tcf(c_12639,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_12638]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1870]) ).
tcf(c_12681,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12680]) ).
tcf(c_12701,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_12702,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_12701]) ).
tcf(c_12704,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_3016]) ).
tcf(c_12706,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_12704]) ).
tcf(c_12731,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1941]) ).
tcf(c_12858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1059]) ).
tcf(c_12859,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_12858]) ).
tcf(c_13099,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7604]) ).
tcf(c_13100,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13099]) ).
tcf(c_13101,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7604]) ).
tcf(c_13102,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13101]) ).
tcf(c_13201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_13202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_13204,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_481]) ).
tcf(c_13210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_482]) ).
tcf(c_13397,plain,
! [X0: $i,X1: $i] :
( r(s(z),z)
| r(z,s(X1))
| r(s(X1),z)
| r(s(s(X0)),s(z))
| ~ b(s(s(X0)),z) ),
inference(resolution,[status(thm)],[c_8790,c_9247]) ).
tcf(c_13398,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),s(z))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_13397]) ).
tcf(c_13401,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(X1),z)
| r(s(s(X0)),z)
| r(s(z),s(s(X0)))
| ~ b(s(z),z) ),
inference(resolution,[status(thm)],[c_8790,c_8682]) ).
tcf(c_13402,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ~ b(s(z),z) ),
inference(instantiation,[status(thm)],[c_13401]) ).
tcf(c_13407,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| r(s(X1),z)
| b(s(X1),s(z))
| r(s(X1),s(z))
| r(s(s(X0)),s(X1))
| ~ b(s(s(X0)),z) ),
inference(resolution,[status(thm)],[c_8790,c_8904]) ).
tcf(c_13408,plain,
( r(z,s(z))
| r(s(z),z)
| b(s(z),s(z))
| r(s(z),s(z))
| r(s(s(z)),s(z))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_13407]) ).
tcf(c_13438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8325]) ).
tcf(c_13439,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)))) ),
inference(instantiation,[status(thm)],[c_13438]) ).
tcf(c_13528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1869]) ).
tcf(c_13782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2473]) ).
tcf(c_13783,plain,
( ~ 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_13782]) ).
tcf(c_13784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2473]) ).
tcf(c_13785,plain,
( ~ 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_13784]) ).
tcf(c_13870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8513]) ).
tcf(c_13871,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)))) ),
inference(instantiation,[status(thm)],[c_13870]) ).
tcf(c_14015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(z)),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1937]) ).
tcf(c_14016,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),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_14015]) ).
tcf(c_14256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8861]) ).
tcf(c_14257,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_14256]) ).
tcf(c_14607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3719]) ).
tcf(c_14610,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3684]) ).
tcf(c_14613,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4840]) ).
tcf(c_14616,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(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7725]) ).
tcf(c_14621,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14616]) ).
tcf(c_14622,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14613]) ).
tcf(c_14624,plain,
( ~ 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_14610]) ).
tcf(c_14625,plain,
( ~ 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_14607]) ).
tcf(c_14652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2510]) ).
tcf(c_14656,plain,
( ~ 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_14652]) ).
tcf(c_14675,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7475]) ).
tcf(c_14682,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14675]) ).
tcf(c_14691,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3892]) ).
tcf(c_14727,plain,
( ~ r(z,s(s(z)))
| ~ r(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_14691]) ).
tcf(c_14952,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8416]) ).
tcf(c_14953,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14952]) ).
tcf(c_14955,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2558]) ).
tcf(c_14961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2548]) ).
tcf(c_14966,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14961]) ).
tcf(c_14968,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14955]) ).
tcf(c_14980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8158]) ).
tcf(c_14982,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))))) ),
inference(instantiation,[status(thm)],[c_14980]) ).
tcf(c_15118,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10410]) ).
tcf(c_15122,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15118]) ).
tcf(c_15262,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_15263,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_15262]) ).
tcf(c_15645,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_3043]) ).
tcf(c_15646,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_15645]) ).
tcf(c_15792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ 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_8706]) ).
tcf(c_15794,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6031]) ).
tcf(c_15810,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15794]) ).
tcf(c_15811,plain,
( ~ b(s(z),z)
| ~ 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)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15792]) ).
tcf(c_15832,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1414]) ).
tcf(c_15833,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_15832]) ).
tcf(c_16132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(z,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_8706]) ).
tcf(c_16134,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6031]) ).
tcf(c_16140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4337]) ).
tcf(c_16143,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4340]) ).
tcf(c_16144,plain,
( ~ b(z,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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16143]) ).
tcf(c_16147,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16140]) ).
tcf(c_16149,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))))) ),
inference(instantiation,[status(thm)],[c_16134]) ).
tcf(c_16150,plain,
( ~ b(s(z),z)
| ~ 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)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16132]) ).
tcf(c_16219,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_12638]) ).
tcf(c_16220,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_16219]) ).
tcf(c_16246,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_13204]) ).
tcf(c_16247,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_3011]) ).
tcf(c_16249,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_16247]) ).
tcf(c_16335,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_10404]) ).
tcf(c_16336,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16335]) ).
tcf(c_16341,plain,
! [X0: $i,X1: $i] :
( ~ 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_2488]) ).
tcf(c_16486,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2559]) ).
tcf(c_16487,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16486]) ).
tcf(c_17016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6031]) ).
tcf(c_17153,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(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_9869]) ).
tcf(c_17315,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_7095,c_56]) ).
tcf(c_17520,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_4807]) ).
tcf(c_17639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11415]) ).
tcf(c_17640,plain,
( ~ b(s(z),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))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17639]) ).
tcf(c_17710,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(z))
| ~ r(s(z),s(X1))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_13201]) ).
tcf(c_17711,plain,
( ~ r(s(z),s(z))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_17710]) ).
tcf(c_17754,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| ~ b(z,X1)
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_293,c_143]) ).
tcf(c_17841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_13210]) ).
tcf(c_17843,plain,
( ~ r(z,s(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_17841]) ).
tcf(c_17860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_13201]) ).
tcf(c_17861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_13202]) ).
tcf(c_17863,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_17861]) ).
tcf(c_17864,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_17860]) ).
tcf(c_18004,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2571]) ).
tcf(c_18005,plain,
( ~ 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_18004]) ).
tcf(c_18328,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(s(z)),s(z))
| ~ b(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_13528]) ).
tcf(c_18575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2553]) ).
tcf(c_18576,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18575]) ).
tcf(c_18755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X2)
| ~ r(s(X1),s(s(s(X3))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_10164]) ).
tcf(c_18756,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_18755]) ).
tcf(c_20770,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_7097]) ).
tcf(c_21040,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(z))) ),
inference(instantiation,[status(thm)],[c_11613]) ).
tcf(c_21041,plain,
( ~ b(z,s(s(z)))
| ~ b(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_21040]) ).
tcf(c_21114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),X2)
| ~ 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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11656]) ).
tcf(c_21115,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),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_21114]) ).
tcf(c_21845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,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_12250]) ).
tcf(c_21846,plain,
( ~ b(s(z),z)
| ~ b(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_21845]) ).
tcf(c_21940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12583]) ).
tcf(c_21941,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21940]) ).
tcf(c_22045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(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_12609]) ).
tcf(c_22046,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(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(s(z)))) ),
inference(instantiation,[status(thm)],[c_22045]) ).
tcf(c_23148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12402]) ).
tcf(c_23149,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23148]) ).
tcf(c_24517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6588]) ).
tcf(c_24518,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_24517]) ).
tcf(c_24603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),X2)
| ~ b(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_1888]) ).
tcf(c_24608,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24603]) ).
tcf(c_24648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4689]) ).
tcf(c_24670,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24648]) ).
tcf(c_25122,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( z != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_5005]) ).
tcf(c_25123,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_25122]) ).
tcf(c_25207,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_16246]) ).
tcf(c_25208,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_25207]) ).
tcf(c_25941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_10186]) ).
tcf(c_25942,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25941]) ).
tcf(c_25974,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(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_17153]) ).
tcf(c_25975,plain,
( ~ b(s(z),s(s(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_25974]) ).
tcf(c_26046,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),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(X1)))) ),
inference(instantiation,[status(thm)],[c_10436]) ).
tcf(c_26047,plain,
( ~ r(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_26046]) ).
tcf(c_26059,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12680]) ).
tcf(c_26060,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26059]) ).
tcf(c_26069,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12731]) ).
tcf(c_26070,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))))) ),
inference(instantiation,[status(thm)],[c_26069]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i] :
( ~ 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_16341]) ).
tcf(c_26237,plain,
( ~ 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_26236]) ).
tcf(c_26331,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_17520]) ).
tcf(c_26332,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_26331]) ).
tcf(c_26339,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_17520]) ).
tcf(c_26340,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_26339]) ).
tcf(c_26361,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(s(z)),s(z))
| ~ b(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_18328]) ).
tcf(c_26362,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(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_26361]) ).
tcf(c_26385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2485]) ).
tcf(c_26386,plain,
( ~ 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_26385]) ).
tcf(c_28722,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),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_13438]) ).
tcf(c_28723,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28722]) ).
tcf(c_28724,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13438]) ).
tcf(c_28725,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))))) ),
inference(instantiation,[status(thm)],[c_28724]) ).
tcf(c_29136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17016]) ).
tcf(c_29137,plain,
( ~ b(s(s(s(z))),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))))) ),
inference(instantiation,[status(thm)],[c_29136]) ).
tcf(c_29542,plain,
! [X0: $i] : ~ b(s(s(s(s(X0)))),s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_2322]) ).
tcf(c_29543,plain,
~ b(s(s(s(s(z)))),s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_29542]) ).
tcf(c_30470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8445]) ).
tcf(c_30471,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(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_30470]) ).
tcf(c_30928,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30929,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_30930,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_30931,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_30932,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_30935,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_30936,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30937,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_30930]) ).
tcf(c_30938,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_30939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_30944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_30955,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_30956,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_30965,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( X1 != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_30939]) ).
tcf(c_30966,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30934]) ).
tcf(c_30967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30934]) ).
tcf(c_30971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_30972,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30934]) ).
tcf(c_30978,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_30935]) ).
tcf(c_30985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30959]) ).
tcf(c_30988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_30944]) ).
tcf(c_30994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_30971]) ).
tcf(c_31000,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_30978]) ).
tcf(c_31002,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_30978]) ).
tcf(c_31005,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(X1) != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_30965]) ).
tcf(c_31008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_31010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30934]) ).
tcf(c_31011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30959]) ).
tcf(c_31031,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_31002]) ).
tcf(c_31047,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_30938]) ).
tcf(c_31048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_30994]) ).
tcf(c_31058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31066,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(X1) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_31005]) ).
tcf(c_31075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30988]) ).
tcf(c_31084,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_31000]) ).
tcf(c_31088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,z)
| ~ r(s(X0),z)
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_31008]) ).
tcf(c_31089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(X2))
| ~ r(X0,s(X2))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_31008]) ).
tcf(c_31090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_31008]) ).
tcf(c_31173,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_30936]) ).
tcf(c_31174,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_31084]) ).
tcf(c_31179,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(X1)) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_31066]) ).
tcf(c_31180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31088]) ).
tcf(c_31183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31089]) ).
tcf(c_31184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31089]) ).
tcf(c_31188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X0),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31090]) ).
tcf(c_31195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X1))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_31198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_31199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(s(X3)))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_31200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_31201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_31208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30985]) ).
tcf(c_31211,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30972]) ).
tcf(c_31241,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_31173]) ).
tcf(c_31245,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_31173]) ).
tcf(c_31310,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31180]) ).
tcf(c_31317,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(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_31323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31198]) ).
tcf(c_31327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31200]) ).
tcf(c_31330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31195]) ).
tcf(c_31332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31195]) ).
tcf(c_31338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X4),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_31199]) ).
tcf(c_31344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31201]) ).
tcf(c_31391,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_31084]) ).
tcf(c_31423,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(X1)) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_31179]) ).
tcf(c_31424,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_31084]) ).
tcf(c_31502,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31317]) ).
tcf(c_31507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31323]) ).
tcf(c_31533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X2,X0)
| ~ b(X1,X2)
| ~ b(X1,X0)
| ~ b(s(s(z)),z)
| ~ b(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X1,X2)
| ~ b(X1,X0)
| ~ b(X0,X2)
| ~ b(z,s(s(z)))
| ~ b(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_31559,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31048]) ).
tcf(c_31565,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_30972]) ).
tcf(c_31573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ 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_31208]) ).
tcf(c_31576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_31581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(X1,s(s(z)))
| ~ b(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_31607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_31608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31634,plain,
! [X0: $i,X1: $i] :
( ~ 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_31502]) ).
tcf(c_31650,plain,
! [X0: $i] : ~ r(s(s(s(X0))),s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_31651,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_31650]) ).
tcf(c_31655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_31657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31011]) ).
tcf(c_31664,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30966]) ).
tcf(c_31672,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_31424]) ).
tcf(c_31674,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31310]) ).
tcf(c_31676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_31681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_31682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31048]) ).
tcf(c_31683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X3)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31011]) ).
tcf(c_31688,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30972]) ).
tcf(c_31690,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30966]) ).
tcf(c_31694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31188]) ).
tcf(c_31700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_31958,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_30929]) ).
tcf(c_32000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),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_31558]) ).
tcf(c_32031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(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_31573]) ).
tcf(c_32041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31576]) ).
tcf(c_32042,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32041]) ).
tcf(c_32045,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_30955]) ).
tcf(c_32133,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_31241]) ).
tcf(c_32142,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(X1))) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_31423]) ).
tcf(c_32152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ 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_31655]) ).
tcf(c_32271,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,X0)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_31540]) ).
tcf(c_32287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),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_31657]) ).
tcf(c_32293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31694]) ).
tcf(c_32295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_31581]) ).
tcf(c_32318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31676]) ).
tcf(c_32341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31700]) ).
tcf(c_32342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31700]) ).
tcf(c_32378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31606]) ).
tcf(c_32385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31607]) ).
tcf(c_32390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31608]) ).
tcf(c_32414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_32416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X0)
| ~ b(z,s(s(z)))
| ~ b(X0,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31540]) ).
tcf(c_32417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31533]) ).
tcf(c_32427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_32429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),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_30988]) ).
tcf(c_32482,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_32133]) ).
tcf(c_32496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_32497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_32498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31199]) ).
tcf(c_32521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_32522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_32523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30988]) ).
tcf(c_32538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31195]) ).
tcf(c_32550,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32271]) ).
tcf(c_32555,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32271]) ).
tcf(c_32767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X3)))
| ~ 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_32293]) ).
tcf(c_32768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ 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_32293]) ).
tcf(c_32850,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32295]) ).
tcf(c_32851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(X2),s(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_32295]) ).
tcf(c_32853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32295]) ).
tcf(c_32889,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(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32342]) ).
tcf(c_32891,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(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32342]) ).
tcf(c_32970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32390]) ).
tcf(c_32973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32390]) ).
tcf(c_32998,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_32142]) ).
tcf(c_32999,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_31672]) ).
tcf(c_33016,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_31672]) ).
tcf(c_33078,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_31047]) ).
tcf(c_33088,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_31672]) ).
tcf(c_33148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X0,s(s(X2)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32429]) ).
tcf(c_33349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_32498]) ).
tcf(c_33352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32498]) ).
tcf(c_33353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32498]) ).
tcf(c_33358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32498]) ).
tcf(c_33362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32523]) ).
tcf(c_33365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32523]) ).
tcf(c_33370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32523]) ).
tcf(c_33465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32416]) ).
tcf(c_33474,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32417]) ).
tcf(c_33477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32417]) ).
tcf(c_33580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32414]) ).
tcf(c_33609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32427]) ).
tcf(c_33693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32521]) ).
tcf(c_33703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32522]) ).
tcf(c_33749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32496]) ).
tcf(c_33761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),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_32497]) ).
tcf(c_33857,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32853]) ).
tcf(c_33862,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ 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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32850]) ).
tcf(c_33885,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),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_32434]) ).
tcf(c_33890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(z))),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_31076]) ).
tcf(c_33895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31344]) ).
tcf(c_33927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32531]) ).
tcf(c_33933,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),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_32851]) ).
tcf(c_33937,plain,
! [X0: $i] :
( ~ b(s(z),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_32850]) ).
tcf(c_33938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32385]) ).
tcf(c_33942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ 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_31330]) ).
tcf(c_33948,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(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33938]) ).
tcf(c_33962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(X2)),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_31338]) ).
tcf(c_33970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31344]) ).
tcf(c_33971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31327]) ).
tcf(c_33973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(X2)),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_31507]) ).
tcf(c_34008,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(z,s(X1))
| ~ b(X0,z)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_17754,c_143]) ).
tcf(c_34148,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(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_33474]) ).
tcf(c_34216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32378]) ).
tcf(c_34240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31344]) ).
tcf(c_34293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ 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_32538]) ).
tcf(c_34294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(X2),s(s(X4)))
| ~ 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_32509]) ).
tcf(c_34329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(X0))),s(X4))
| ~ 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_31338]) ).
tcf(c_34331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31332]) ).
tcf(c_34334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31344]) ).
tcf(c_34434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33358]) ).
tcf(c_34436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33358]) ).
tcf(c_34551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33465]) ).
tcf(c_34585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33477]) ).
tcf(c_34634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33148]) ).
tcf(c_34639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33148]) ).
tcf(c_34662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33580]) ).
tcf(c_34687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33349]) ).
tcf(c_34690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33349]) ).
tcf(c_34706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),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_33609]) ).
tcf(c_34784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33352]) ).
tcf(c_34787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33352]) ).
tcf(c_34789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33352]) ).
tcf(c_34803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X2,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_33353]) ).
tcf(c_34804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(X2),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_33353]) ).
tcf(c_34811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33362]) ).
tcf(c_34814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33362]) ).
tcf(c_34882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(s(z))),X3)
| ~ 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_33365]) ).
tcf(c_34884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(s(X1))),X4)
| ~ 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_33365]) ).
tcf(c_34893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(s(s(z))),X3)
| ~ 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_33370]) ).
tcf(c_34907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X3)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33693]) ).
tcf(c_34943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X4)),X3)
| ~ b(s(s(X4)),s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33703]) ).
tcf(c_34952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33749]) ).
tcf(c_34953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33749]) ).
tcf(c_34955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33749]) ).
tcf(c_34965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33761]) ).
tcf(c_34968,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_30931]) ).
tcf(c_34975,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_31031]) ).
tcf(c_35009,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33857]) ).
tcf(c_35037,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_31958]) ).
tcf(c_35061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34434]) ).
tcf(c_35125,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_20770,c_57]) ).
tcf(c_35161,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ 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(z)))) ),
inference(instantiation,[status(thm)],[c_33885]) ).
tcf(c_35164,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_33088]) ).
tcf(c_35274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34436]) ).
tcf(c_35277,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_32045]) ).
tcf(c_35350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33971]) ).
tcf(c_35351,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))))) ),
inference(instantiation,[status(thm)],[c_35350]) ).
tcf(c_35362,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33973]) ).
tcf(c_35566,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),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)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33890]) ).
tcf(c_35567,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_35566]) ).
tcf(c_35570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X2),s(s(s(X0))))
| ~ 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_33890]) ).
tcf(c_35875,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34690]) ).
tcf(c_35885,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34706]) ).
tcf(c_35886,plain,
( ~ 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(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35885]) ).
tcf(c_36007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X3),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_33962]) ).
tcf(c_36033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33970]) ).
tcf(c_36116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34662]) ).
tcf(c_36151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34639]) ).
tcf(c_36153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34639]) ).
tcf(c_36239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34953]) ).
tcf(c_36240,plain,
( ~ 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(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36239]) ).
tcf(c_36248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ 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_34965]) ).
tcf(c_36288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33895]) ).
tcf(c_36289,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36288]) ).
tcf(c_36390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),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_33942]) ).
tcf(c_36477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(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_34216]) ).
tcf(c_36478,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),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_36477]) ).
tcf(c_36511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34787]) ).
tcf(c_36515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34787]) ).
tcf(c_36525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34789]) ).
tcf(c_36704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34634]) ).
tcf(c_36705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34634]) ).
tcf(c_36726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34687]) ).
tcf(c_36783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34814]) ).
tcf(c_36910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,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_34804]) ).
tcf(c_36944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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)))) ),
inference(instantiation,[status(thm)],[c_34882]) ).
tcf(c_36945,plain,
( ~ b(z,s(z))
| ~ b(z,s(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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36944]) ).
tcf(c_37037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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)))) ),
inference(instantiation,[status(thm)],[c_34893]) ).
tcf(c_37125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X2))
| ~ 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_34952]) ).
tcf(c_37247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ 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_34240]) ).
tcf(c_37261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X3)),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_34293]) ).
tcf(c_37272,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(z))),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_34294]) ).
tcf(c_37313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),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_34329]) ).
tcf(c_37337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ 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_34331]) ).
tcf(c_37351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X0))),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_34334]) ).
tcf(c_37361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34784]) ).
tcf(c_37396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(X1)))
| ~ 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_34811]) ).
tcf(c_37467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(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_34907]) ).
tcf(c_37513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X4)),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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34943]) ).
tcf(c_37515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34943]) ).
tcf(c_37558,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(z))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ 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_34955]) ).
tcf(c_37602,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31690]) ).
tcf(c_37607,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31664]) ).
tcf(c_37814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_37821,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30972]) ).
tcf(c_37822,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30967]) ).
tcf(c_37823,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30966]) ).
tcf(c_37830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31681]) ).
tcf(c_37834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31188]) ).
tcf(c_37839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31676]) ).
tcf(c_37841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_37848,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31010]) ).
tcf(c_37849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30985]) ).
tcf(c_37852,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30972]) ).
tcf(c_37854,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30966]) ).
tcf(c_37858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31683]) ).
tcf(c_37864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31655]) ).
tcf(c_37871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(X2))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31183]) ).
tcf(c_37927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31682]) ).
tcf(c_37928,plain,
! [X0: $i,X1: $i] :
( ~ 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_31690]) ).
tcf(c_38088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),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_34803]) ).
tcf(c_38407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32342]) ).
tcf(c_38409,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31688]) ).
tcf(c_38413,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32318]) ).
tcf(c_38429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32342]) ).
tcf(c_38505,plain,
! [X0: $i,X1: $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(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35362]) ).
tcf(c_38506,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_38505]) ).
tcf(c_38692,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(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_35566]) ).
tcf(c_38999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_39007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_30967]) ).
tcf(c_39111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_39114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31010]) ).
tcf(c_39133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X0),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31188]) ).
tcf(c_39201,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35875]) ).
tcf(c_39562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35061]) ).
tcf(c_39636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(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)))) ),
inference(instantiation,[status(thm)],[c_36116]) ).
tcf(c_39637,plain,
( ~ 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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39636]) ).
tcf(c_39671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),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))))) ),
inference(instantiation,[status(thm)],[c_36151]) ).
tcf(c_39672,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))))) ),
inference(instantiation,[status(thm)],[c_39671]) ).
tcf(c_39802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(X4),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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35274]) ).
tcf(c_39913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(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))))) ),
inference(instantiation,[status(thm)],[c_36704]) ).
tcf(c_39914,plain,
( ~ b(z,s(s(s(s(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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39913]) ).
tcf(c_40340,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36511]) ).
tcf(c_40341,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)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40340]) ).
tcf(c_40430,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ 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_36726]) ).
tcf(c_40633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ 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_36007]) ).
tcf(c_40691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ 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_36033]) ).
tcf(c_40940,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(z)))) ),
inference(instantiation,[status(thm)],[c_36239]) ).
tcf(c_40941,plain,
( ~ b(z,s(s(s(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_40940]) ).
tcf(c_40961,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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36248]) ).
tcf(c_41157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37467]) ).
tcf(c_41158,plain,
( ~ b(z,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_41157]) ).
tcf(c_41347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X0))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36153]) ).
tcf(c_41708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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)))) ),
inference(instantiation,[status(thm)],[c_36910]) ).
tcf(c_41709,plain,
( ~ b(s(z),z)
| ~ b(z,s(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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41708]) ).
tcf(c_42111,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(X0)))))
| ~ b(s(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)))) ),
inference(instantiation,[status(thm)],[c_37037]) ).
tcf(c_42345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(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_37272]) ).
tcf(c_42346,plain,
( ~ 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_42345]) ).
tcf(c_42373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ 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_36783]) ).
tcf(c_42502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ 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_37396]) ).
tcf(c_42529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37558]) ).
tcf(c_42556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X1))))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),X4)
| ~ b(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_36525]) ).
tcf(c_42721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(X3))),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_37261]) ).
tcf(c_42814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ 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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37313]) ).
tcf(c_42849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X3))))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(X4))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37337]) ).
tcf(c_42866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X3)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37351]) ).
tcf(c_42880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ 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_37361]) ).
tcf(c_43066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_37513]) ).
tcf(c_43083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X2))),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37515]) ).
tcf(c_43224,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_35037]) ).
tcf(c_43262,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_35277]) ).
tcf(c_43712,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_31174]) ).
tcf(c_43713,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_37822]) ).
tcf(c_43728,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_37848]) ).
tcf(c_43729,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_31391]) ).
tcf(c_43952,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ 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_40430]) ).
tcf(c_44054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37830]) ).
tcf(c_44117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37864]) ).
tcf(c_44118,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))))) ),
inference(instantiation,[status(thm)],[c_44117]) ).
tcf(c_44124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ 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_39133]) ).
tcf(c_44138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39133]) ).
tcf(c_44245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_37871]) ).
tcf(c_44246,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44245]) ).
tcf(c_44509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_37814]) ).
tcf(c_44564,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ 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_38692]) ).
tcf(c_44698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37858]) ).
tcf(c_44772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X2),s(X1))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38999]) ).
tcf(c_45144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_39007]) ).
tcf(c_45447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X0),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39111]) ).
tcf(c_45489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(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_40961]) ).
tcf(c_45671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_37834]) ).
tcf(c_45707,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_37839]) ).
tcf(c_45820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(X2),s(X0))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39114]) ).
tcf(c_47506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ 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(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40691]) ).
tcf(c_48144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43066]) ).
tcf(c_48145,plain,
( ~ b(s(s(z)),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_48144]) ).
tcf(c_48232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(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_38088]) ).
tcf(c_48233,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),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_48232]) ).
tcf(c_48478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39562]) ).
tcf(c_48479,plain,
( ~ b(s(z),z)
| ~ b(z,s(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_48478]) ).
tcf(c_48988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(s(X2))),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39802]) ).
tcf(c_49089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(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(z)))) ),
inference(instantiation,[status(thm)],[c_42111]) ).
tcf(c_49090,plain,
( ~ 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_49089]) ).
tcf(c_49910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(X3))))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42849]) ).
tcf(c_49937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(X3))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(X3))),s(s(s(s(X2)))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ 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_42866]) ).
tcf(c_50392,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_35164]) ).
tcf(c_50393,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_50392]) ).
tcf(c_50417,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_35164]) ).
tcf(c_50418,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_50417]) ).
tcf(c_50492,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34585]) ).
tcf(c_50493,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34551]) ).
tcf(c_50498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ 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_36705]) ).
tcf(c_50594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ 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_42529]) ).
tcf(c_50596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ 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_41347]) ).
tcf(c_50620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(X3,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_36515]) ).
tcf(c_50643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(X3,s(s(s(X2))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42556]) ).
tcf(c_51029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ 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_37125]) ).
tcf(c_51205,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43713]) ).
tcf(c_51293,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),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_43952]) ).
tcf(c_51430,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),z)
| r(s(z),s(s(X1)))
| r(s(s(X1)),s(X2))
| ( X2 = s(X1) )
| ~ b(s(z),z)
| ~ b(X0,s(z))
| ~ b(X0,s(s(X1))) ),
inference(resolution,[status(thm)],[c_500,c_8682]) ).
tcf(c_51431,plain,
( r(s(z),z)
| r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( z = s(z) )
| ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_51430]) ).
tcf(c_51499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44054]) ).
tcf(c_51691,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(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44124]) ).
tcf(c_51721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44245]) ).
tcf(c_51722,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51721]) ).
tcf(c_51754,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45707]) ).
tcf(c_51821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44509]) ).
tcf(c_51907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45144]) ).
tcf(c_51925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45144]) ).
tcf(c_52294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45820]) ).
tcf(c_52378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),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_45671]) ).
tcf(c_52583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_44772]) ).
tcf(c_52604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45447]) ).
tcf(c_52625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),s(X2))
| ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45447]) ).
tcf(c_53548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(X3))))
| ~ 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(X2)))),s(s(s(X3))))
| ~ 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_49910]) ).
tcf(c_54165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $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(X3))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ 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_49937]) ).
tcf(c_54912,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ 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_38407]) ).
tcf(c_54928,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ 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_38409]) ).
tcf(c_54930,plain,
! [X0: $i] :
( ~ 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_37928]) ).
tcf(c_54936,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))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32341]) ).
tcf(c_54941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32287]) ).
tcf(c_54943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_32152]) ).
tcf(c_54955,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(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_32031]) ).
tcf(c_54960,plain,
! [X0: $i] :
( ~ 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_31634]) ).
tcf(c_54961,plain,
( ~ 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_54960]) ).
tcf(c_54965,plain,
( ~ r(s(s(z)),s(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(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54955]) ).
tcf(c_54972,plain,
( ~ 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_54930]) ).
tcf(c_54978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),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_32767]) ).
tcf(c_55097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_38429]) ).
tcf(c_55099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32891]) ).
tcf(c_55100,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32889]) ).
tcf(c_55112,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_38413]) ).
tcf(c_55113,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_38409]) ).
tcf(c_55114,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_37927]) ).
tcf(c_55115,plain,
! [X0: $i] :
( ~ 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_37928]) ).
tcf(c_55128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(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_32152]) ).
tcf(c_55138,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(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_32000]) ).
tcf(c_55144,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),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_31674]) ).
tcf(c_55145,plain,
! [X0: $i] :
( ~ 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_31634]) ).
tcf(c_55146,plain,
( ~ 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_55145]) ).
tcf(c_55147,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),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_55144]) ).
tcf(c_55152,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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_55138]) ).
tcf(c_55155,plain,
( ~ 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_55115]) ).
tcf(c_55156,plain,
( ~ r(z,s(z))
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_55114]) ).
tcf(c_55211,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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44698]) ).
tcf(c_55215,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44138]) ).
tcf(c_55222,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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_55211]) ).
tcf(c_55297,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_51205]) ).
tcf(c_55298,plain,
( ~ r(s(z),z)
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_55297]) ).
tcf(c_55438,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(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(z))))) ),
inference(instantiation,[status(thm)],[c_51499]) ).
tcf(c_55439,plain,
( ~ 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_55438]) ).
tcf(c_55464,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(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_51691]) ).
tcf(c_55465,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(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55464]) ).
tcf(c_55490,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_51754]) ).
tcf(c_56430,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51821]) ).
tcf(c_56431,plain,
( ~ 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_56430]) ).
tcf(c_56610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52625]) ).
tcf(c_56611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52625]) ).
tcf(c_56626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52625]) ).
tcf(c_56872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(s(s(s(X2))),s(s(s(X1))))
| ~ 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_51907]) ).
tcf(c_56890,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),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_51925]) ).
tcf(c_56896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52294]) ).
tcf(c_56940,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52378]) ).
tcf(c_57284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X1))),s(s(s(X3))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_52583]) ).
tcf(c_58545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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_50643]) ).
tcf(c_59597,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_43712]) ).
tcf(c_59598,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_59597]) ).
tcf(c_59621,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_34968]) ).
tcf(c_59622,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_59621]) ).
tcf(c_59637,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_43729]) ).
tcf(c_59638,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_59637]) ).
tcf(c_59655,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_34975]) ).
tcf(c_59656,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_59655]) ).
tcf(c_59785,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(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55100]) ).
tcf(c_59786,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)))))) ),
inference(instantiation,[status(thm)],[c_59785]) ).
tcf(c_59928,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55215]) ).
tcf(c_60683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55097]) ).
tcf(c_60684,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60683]) ).
tcf(c_60702,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(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55099]) ).
tcf(c_61576,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(s(z))))) ),
inference(instantiation,[status(thm)],[c_54936]) ).
tcf(c_61577,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61576]) ).
tcf(c_62622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(z))))
| ~ 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(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51029]) ).
tcf(c_62640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(z,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50620]) ).
tcf(c_62697,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50493]) ).
tcf(c_62698,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51293]) ).
tcf(c_62699,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),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(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50492]) ).
tcf(c_62715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),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_48988]) ).
tcf(c_62756,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(X1)))),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_45489]) ).
tcf(c_62785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(z))),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_42814]) ).
tcf(c_62802,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(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ 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_42373]) ).
tcf(c_62828,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(s(z))))),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_62802]) ).
tcf(c_62838,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)))))) ),
inference(instantiation,[status(thm)],[c_62756]) ).
tcf(c_63154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X2)))))
| ~ 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_54165]) ).
tcf(c_63179,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(z)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(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_53548]) ).
tcf(c_63549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X3),s(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50498]) ).
tcf(c_63646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ 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(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47506]) ).
tcf(c_63664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X2))),X4)
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43083]) ).
tcf(c_63673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ b(s(s(s(X3))),s(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42721]) ).
tcf(c_63748,plain,
( ~ 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(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63646]) ).
tcf(c_64066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ 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_50596]) ).
tcf(c_64067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ 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_50594]) ).
tcf(c_64068,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(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(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64067]) ).
tcf(c_64069,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64066]) ).
tcf(c_67308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ 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_58545]) ).
tcf(c_67782,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_32999]) ).
tcf(c_67783,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_67782]) ).
tcf(c_67789,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_43224]) ).
tcf(c_67790,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_67789]) ).
tcf(c_68682,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_59928]) ).
tcf(c_68883,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_38407]) ).
tcf(c_68886,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_68883]) ).
tcf(c_68977,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_43262]) ).
tcf(c_68978,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_68977]) ).
tcf(c_68986,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_33016]) ).
tcf(c_68987,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_68986]) ).
tcf(c_70975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38407]) ).
tcf(c_70977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32889]) ).
tcf(c_70978,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(s(z)))) ),
inference(instantiation,[status(thm)],[c_70977]) ).
tcf(c_70979,plain,
( ~ r(z,s(s(s(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_70975]) ).
tcf(c_71103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_38407]) ).
tcf(c_71973,plain,
! [X0: $i,X1: $i,X2: $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(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(s(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_63179]) ).
tcf(c_72305,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(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62622]) ).
tcf(c_72464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),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)))))) ),
inference(instantiation,[status(thm)],[c_62640]) ).
tcf(c_72465,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72464]) ).
tcf(c_73008,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ 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_62785]) ).
tcf(c_73009,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(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73008]) ).
tcf(c_73319,plain,
! [X0: $i,X1: $i,X2: $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(X2))),s(s(s(s(s(X0))))))
| ~ 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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_63154]) ).
tcf(c_73320,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)))))) ),
inference(instantiation,[status(thm)],[c_73319]) ).
tcf(c_75852,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_17315,c_59]) ).
tcf(c_75853,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_75852]) ).
tcf(c_76214,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(z,s(X1))
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_34008,c_107]) ).
tcf(c_77835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62715]) ).
tcf(c_77836,plain,
( ~ b(s(z),z)
| ~ b(z,s(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(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77835]) ).
tcf(c_78560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ 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_63549]) ).
tcf(c_78561,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_78560]) ).
tcf(c_81392,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(z)))))
| ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(X2))),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(X1))))) ),
inference(instantiation,[status(thm)],[c_63664]) ).
tcf(c_81393,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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81392]) ).
tcf(c_81552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(X2))),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(X1))))) ),
inference(instantiation,[status(thm)],[c_63673]) ).
tcf(c_81553,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(z))),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_81552]) ).
tcf(c_84704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32768]) ).
tcf(c_84725,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(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32031]) ).
tcf(c_84730,plain,
! [X0: $i] :
( ~ 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_31634]) ).
tcf(c_84734,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(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84725]) ).
tcf(c_84800,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),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_37607]) ).
tcf(c_84801,plain,
( ~ 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_84800]) ).
tcf(c_84819,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_84820,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_84819]) ).
tcf(c_85585,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_30937]) ).
tcf(c_85586,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_85585]) ).
tcf(c_85618,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_32998]) ).
tcf(c_85621,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_85618]) ).
tcf(c_86040,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50492]) ).
tcf(c_86101,plain,
! [X0: $i] :
( ~ b(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))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44564]) ).
tcf(c_87487,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_32482]) ).
tcf(c_87488,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_87487]) ).
tcf(c_87616,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_38409]) ).
tcf(c_87618,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_37928]) ).
tcf(c_87648,plain,
! [X0: $i,X1: $i] :
( ~ 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_31634]) ).
tcf(c_87649,plain,
( ~ 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_87648]) ).
tcf(c_87659,plain,
( ~ 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_87618]) ).
tcf(c_87661,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(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87616]) ).
tcf(c_87683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(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_52604]) ).
tcf(c_87700,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(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87683]) ).
tcf(c_87715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56610]) ).
tcf(c_87776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_71103]) ).
tcf(c_87777,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)))))) ),
inference(instantiation,[status(thm)],[c_87776]) ).
tcf(c_87893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44245]) ).
tcf(c_87895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_37841]) ).
tcf(c_87898,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_87895]) ).
tcf(c_87900,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87893]) ).
tcf(c_87903,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37848]) ).
tcf(c_87904,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87903]) ).
tcf(c_88333,plain,
! [X0: $i,X1: $i,X2: $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(s(X2))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_71973]) ).
tcf(c_88334,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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88333]) ).
tcf(c_88417,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_37822]) ).
tcf(c_88418,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_88417]) ).
tcf(c_88433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37849]) ).
tcf(c_88434,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88433]) ).
tcf(c_90007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(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_56611]) ).
tcf(c_90084,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56896]) ).
tcf(c_90085,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90084]) ).
tcf(c_90124,plain,
! [X0: $i,X1: $i] :
( ~ 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(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_56626]) ).
tcf(c_90125,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(s(z))))) ),
inference(instantiation,[status(thm)],[c_90124]) ).
tcf(c_90184,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_35125,c_59]) ).
tcf(c_90185,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_90184]) ).
tcf(c_90210,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_35125,c_56]) ).
tcf(c_90638,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_30932]) ).
tcf(c_90639,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_90638]) ).
tcf(c_90659,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_30928]) ).
tcf(c_90660,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90659]) ).
tcf(c_90685,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_31245]) ).
tcf(c_90686,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_90685]) ).
tcf(c_90706,plain,
! [X0: $i] :
( ( z = s(s(s(s(X0)))) )
| ( s(z) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_30956]) ).
tcf(c_90707,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_90706]) ).
tcf(c_90947,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61576]) ).
tcf(c_91055,plain,
! [X0: $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(s(z))))) ),
inference(instantiation,[status(thm)],[c_54912]) ).
tcf(c_91234,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_90210,c_59]) ).
tcf(c_93334,plain,
( r(s(s(s(z))),s(s(z)))
| b(s(s(s(z))),s(s(z))) ),
inference(global_subsumption_just,[status(thm)],[c_91234,c_65,c_298,c_90185]) ).
tcf(c_93335,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(renaming,[status(thm)],[c_93334]) ).
tcf(c_93355,plain,
! [X0: $i] :
( r(z,s(X0))
| r(s(X0),z)
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(resolution,[status(thm)],[c_93335,c_8790]) ).
tcf(c_93359,plain,
! [X0: $i] :
( r(z,s(X0))
| r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(resolution,[status(thm)],[c_93335,c_76214]) ).
tcf(c_93360,plain,
( r(z,s(z))
| r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_93359]) ).
tcf(c_93361,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_93355]) ).
tcf(c_93363,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(s(s(z)),s(X1))
| r(s(s(s(z))),s(s(z)))
| ( X1 = s(z) )
| ~ b(X0,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(X0,s(s(s(z)))) ),
inference(resolution,[status(thm)],[c_93335,c_500]) ).
tcf(c_93365,plain,
( r(s(z),z)
| r(s(s(z)),s(z))
| r(s(s(s(z))),s(s(z)))
| ( z = s(z) )
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_93363]) ).
tcf(c_93563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ 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_57284]) ).
tcf(c_93644,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),z)
| ~ 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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56872]) ).
tcf(c_93646,plain,
( ~ 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(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_93644]) ).
tcf(c_93733,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_68682]) ).
tcf(c_93736,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)))))) ),
inference(instantiation,[status(thm)],[c_93733]) ).
tcf(c_95928,plain,
! [X0: $i,X1: $i] :
( ~ 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_54978]) ).
tcf(c_95929,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(s(z))))) ),
inference(instantiation,[status(thm)],[c_95928]) ).
tcf(c_98168,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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32850]) ).
tcf(c_98180,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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98168]) ).
tcf(c_98290,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32555]) ).
tcf(c_98291,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32550]) ).
tcf(c_98313,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98290]) ).
tcf(c_98343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_32970]) ).
tcf(c_98344,plain,
( ~ b(s(s(z)),z)
| ~ 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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98343]) ).
tcf(c_98438,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ 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_40633]) ).
tcf(c_98454,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(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(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_98438]) ).
tcf(c_98695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ 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_33927]) ).
tcf(c_98703,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(z))),s(X1))
| ~ 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_33933]) ).
tcf(c_98715,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(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(s(z)))) ),
inference(instantiation,[status(thm)],[c_33862]) ).
tcf(c_98716,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(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(s(z)))) ),
inference(instantiation,[status(thm)],[c_98715]) ).
tcf(c_98722,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(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98703]) ).
tcf(c_98724,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(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_98695]) ).
tcf(c_98737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),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_36390]) ).
tcf(c_98748,plain,
( ~ b(s(z),s(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(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_98737]) ).
tcf(c_98897,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(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(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_33474]) ).
tcf(c_98914,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_32850]) ).
tcf(c_98924,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_98914]) ).
tcf(c_99158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_42502]) ).
tcf(c_99166,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_35570]) ).
tcf(c_99171,plain,
( ~ b(s(s(s(z))),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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99166]) ).
tcf(c_99176,plain,
( ~ b(s(s(s(z))),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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99158]) ).
tcf(c_99185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(z)),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(X1)))) ),
inference(instantiation,[status(thm)],[c_42880]) ).
tcf(c_99209,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),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_99185]) ).
tcf(c_99220,plain,
! [X0: $i] :
( ~ 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(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40430]) ).
tcf(c_99226,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),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))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35566]) ).
tcf(c_99374,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(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)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_67308]) ).
tcf(c_99379,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(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_99374]) ).
tcf(c_99386,plain,
! [X0: $i] :
( ~ 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(X0))))))
| ~ b(s(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_72305]) ).
tcf(c_99612,plain,
! [X0: $i] :
( ~ b(s(z),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(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_33937]) ).
tcf(c_99626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48478]) ).
tcf(c_99627,plain,
! [X0: $i,X1: $i] :
( ~ b(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(z))),s(s(s(s(X1)))))
| ~ 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_49089]) ).
tcf(c_99637,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_35570]) ).
tcf(c_99643,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(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99637]) ).
tcf(c_99647,plain,
( ~ b(s(z),z)
| ~ b(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(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99626]) ).
tcf(c_99664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_37247]) ).
tcf(c_99669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ b(s(s(s(X1))),X3)
| ~ 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(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34884]) ).
tcf(c_99675,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99669]) ).
tcf(c_99677,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99664]) ).
tcf(c_99690,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40430]) ).
tcf(c_99696,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(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35566]) ).
tcf(c_99806,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(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(z))))) ),
inference(instantiation,[status(thm)],[c_72305]) ).
tcf(c_100682,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37854]) ).
tcf(c_100683,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_37823]) ).
tcf(c_102737,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_37821]) ).
tcf(c_102738,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37852]) ).
tcf(c_107057,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_30928]) ).
tcf(c_107058,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_107057]) ).
tcf(c_107079,plain,
! [X0: $i] :
( ( z = s(s(s(X0))) )
| ( s(z) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_30956]) ).
tcf(c_107080,plain,
( ( z = s(s(s(z))) )
| ( s(z) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_107079]) ).
tcf(c_107301,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ 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_56890]) ).
tcf(c_107322,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),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_54943]) ).
tcf(c_107329,plain,
! [X0: $i,X1: $i] :
( ~ r(s(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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54941]) ).
tcf(c_107331,plain,
! [X0: $i] :
( ~ r(s(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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56940]) ).
tcf(c_107334,plain,
( ~ r(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(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107331]) ).
tcf(c_107335,plain,
( ~ r(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(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107329]) ).
tcf(c_107338,plain,
( ~ r(s(s(s(z))),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_107322]) ).
tcf(c_109344,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37602]) ).
tcf(c_109389,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(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55128]) ).
tcf(c_109402,plain,
( ~ r(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_109389]) ).
tcf(c_109417,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60702]) ).
tcf(c_109418,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)))))) ),
inference(instantiation,[status(thm)],[c_109417]) ).
tcf(c_112466,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ 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(z)))) ),
inference(instantiation,[status(thm)],[c_99627]) ).
tcf(c_112467,plain,
( ~ b(s(s(s(z))),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(z)))) ),
inference(instantiation,[status(thm)],[c_112466]) ).
tcf(c_113807,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75852,c_58]) ).
tcf(c_115300,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),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_84704]) ).
tcf(c_115301,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(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_115300]) ).
tcf(c_116322,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(X1),z)
| r(s(s(s(X0))),z)
| r(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),z) ),
inference(resolution,[status(thm)],[c_113807,c_8790]) ).
tcf(c_116326,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(z,s(s(s(X0))))
| r(s(s(s(X0))),z)
| r(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),z) ),
inference(resolution,[status(thm)],[c_113807,c_76214]) ).
tcf(c_116328,plain,
( r(z,s(z))
| r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_116326]) ).
tcf(c_116329,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(z))),z)
| r(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_116322]) ).
tcf(c_116331,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),z)
| r(s(s(s(X1))),s(X2))
| r(s(s(z)),s(s(s(X1))))
| ( X2 = s(s(X1)) )
| ~ b(s(s(z)),z)
| ~ b(X0,s(s(z)))
| ~ b(X0,s(s(s(X1)))) ),
inference(resolution,[status(thm)],[c_113807,c_500]) ).
tcf(c_116334,plain,
( r(s(z),z)
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( z = s(s(z)) )
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_116331]) ).
tcf(c_116959,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_33078]) ).
tcf(c_116960,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_116959]) ).
tcf(c_117251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_87715]) ).
tcf(c_117252,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)))))) ),
inference(instantiation,[status(thm)],[c_117251]) ).
tcf(c_117936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ 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_90007]) ).
tcf(c_117937,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(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_117936]) ).
tcf(c_118902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),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(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_93563]) ).
tcf(c_118903,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(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_118902]) ).
tcf(c_120229,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35009]) ).
tcf(c_120235,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39201]) ).
tcf(c_120236,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_120235]) ).
tcf(c_120241,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ 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(z)))) ),
inference(instantiation,[status(thm)],[c_35161]) ).
tcf(c_120671,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_31245]) ).
tcf(c_120881,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32555]) ).
tcf(c_120920,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X0)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31076]) ).
tcf(c_120921,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_120920]) ).
tcf(c_120932,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X0)))
| ~ b(s(s(z)),X1)
| ~ b(s(s(X0)),X1)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32973]) ).
tcf(c_120935,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_120932]) ).
tcf(c_121284,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(X0)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32341]) ).
tcf(c_123447,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(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(X1)))) ),
inference(instantiation,[status(thm)],[c_37830]) ).
tcf(c_123448,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)))) ),
inference(instantiation,[status(thm)],[c_123447]) ).
tcf(c_126645,plain,
! [X0: $i] :
( ~ b(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))))
| ~ 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_86101]) ).
tcf(c_126646,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),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(s(z))))) ),
inference(instantiation,[status(thm)],[c_86040]) ).
tcf(c_127564,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_43728]) ).
tcf(c_127863,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(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_34148]) ).
tcf(c_128145,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31559]) ).
tcf(c_128146,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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31211]) ).
tcf(c_128147,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31565]) ).
tcf(c_128148,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_128147]) ).
tcf(c_128149,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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_128146]) ).
tcf(c_128150,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_128145]) ).
tcf(c_128884,plain,
! [X0: $i,X1: $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(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_98438]) ).
tcf(c_128885,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_128884]) ).
tcf(c_129412,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_121284]) ).
tcf(c_129413,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_129412]) ).
tcf(c_129906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_129931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129906]) ).
tcf(c_129943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129954,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129916]) ).
tcf(c_129956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129931]) ).
tcf(c_129958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129938]) ).
tcf(c_129959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129938]) ).
tcf(c_129967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129931]) ).
tcf(c_129969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129938]) ).
tcf(c_129983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_129943]) ).
tcf(c_129988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129956]) ).
tcf(c_129990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129956]) ).
tcf(c_130010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129983]) ).
tcf(c_130011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129983]) ).
tcf(c_130012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129983]) ).
tcf(c_130016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129967]) ).
tcf(c_130018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129967]) ).
tcf(c_130082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129988]) ).
tcf(c_130083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129968]) ).
tcf(c_130086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129958]) ).
tcf(c_130091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129990]) ).
tcf(c_130113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(X2,s(X4))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130016]) ).
tcf(c_130114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130016]) ).
tcf(c_130115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130016]) ).
tcf(c_130119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130018]) ).
tcf(c_130238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(X2,s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130119]) ).
tcf(c_130268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130114]) ).
tcf(c_130291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130113]) ).
tcf(c_130293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130113]) ).
tcf(c_130295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130115]) ).
tcf(c_130297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130115]) ).
tcf(c_130324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X3),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_130082]) ).
tcf(c_130326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130091]) ).
tcf(c_130327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130083]) ).
tcf(c_130329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_130333,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129916]) ).
tcf(c_130411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_130412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129916]) ).
tcf(c_130442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130268]) ).
tcf(c_130455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(X2),s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130238]) ).
tcf(c_130457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(X2),s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130238]) ).
tcf(c_130463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130295]) ).
tcf(c_130492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X3))
| ~ 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_130293]) ).
tcf(c_130496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130297]) ).
tcf(c_130586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_130411]) ).
tcf(c_130588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130411]) ).
tcf(c_130595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130329]) ).
tcf(c_130623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130455]) ).
tcf(c_130655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130457]) ).
tcf(c_130707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130496]) ).
tcf(c_130722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(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_130588]) ).
tcf(c_130723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130588]) ).
tcf(c_130724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130588]) ).
tcf(c_130765,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(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130492]) ).
tcf(c_130766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130327]) ).
tcf(c_130767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130326]) ).
tcf(c_130773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130293]) ).
tcf(c_130842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130324]) ).
tcf(c_130847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130293]) ).
tcf(c_130886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130291]) ).
tcf(c_130909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130082]) ).
tcf(c_130916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130496]) ).
tcf(c_130939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ 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_130586]) ).
tcf(c_131053,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(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130707]) ).
tcf(c_131114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ 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_130722]) ).
tcf(c_131123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130766]) ).
tcf(c_131135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130767]) ).
tcf(c_131136,plain,
( ~ b(s(z),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_131135]) ).
tcf(c_131357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X1))))
| ~ 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(z))) ),
inference(instantiation,[status(thm)],[c_130765]) ).
tcf(c_131358,plain,
( ~ b(s(s(z)),z)
| ~ b(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_131357]) ).
tcf(c_131361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130765]) ).
tcf(c_131413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130886]) ).
tcf(c_131509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130847]) ).
tcf(c_131535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130909]) ).
tcf(c_131557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130916]) ).
tcf(c_131736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131114]) ).
tcf(c_131748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),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))) ),
inference(instantiation,[status(thm)],[c_131123]) ).
tcf(c_131757,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(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131135]) ).
tcf(c_131913,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(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131357]) ).
tcf(c_132158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ 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_131509]) ).
tcf(c_132185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131535]) ).
tcf(c_132452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(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_131757]) ).
tcf(c_132562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132158]) ).
tcf(c_132737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(X3)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132185]) ).
tcf(c_133140,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ 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(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131913]) ).
tcf(c_133141,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(s(z)))) ),
inference(instantiation,[status(thm)],[c_133140]) ).
tcf(c_133246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_130842]) ).
tcf(c_133250,plain,
( ~ b(z,s(z))
| ~ b(s(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_133246]) ).
tcf(c_133663,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(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131913]) ).
tcf(c_133725,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(X1))),s(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_132452]) ).
tcf(c_133726,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))))) ),
inference(instantiation,[status(thm)],[c_133725]) ).
tcf(c_133841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132562]) ).
tcf(c_133950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132737]) ).
tcf(c_134097,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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_130412]) ).
tcf(c_134105,plain,
! [X0: $i] :
( ~ 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_129954]) ).
tcf(c_134109,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(z))),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_130939]) ).
tcf(c_134191,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129954]) ).
tcf(c_134192,plain,
( ~ 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_134191]) ).
tcf(c_134193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_130724]) ).
tcf(c_134951,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),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_134109]) ).
tcf(c_134993,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_134097]) ).
tcf(c_135294,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_134193]) ).
tcf(c_135885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_129959]) ).
tcf(c_135886,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_129958]) ).
tcf(c_135887,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_135886]) ).
tcf(c_135888,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_130655]) ).
tcf(c_135897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_130291]) ).
tcf(c_135907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X0))
| ~ 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_129969]) ).
tcf(c_135920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(X2,s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_130012]) ).
tcf(c_135921,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_130011]) ).
tcf(c_135922,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_135921]) ).
tcf(c_135925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_130773]) ).
tcf(c_135932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X3),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_130082]) ).
tcf(c_135936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_130083]) ).
tcf(c_136032,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(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_131748]) ).
tcf(c_136034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_130909]) ).
tcf(c_136035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ 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_131053]) ).
tcf(c_136039,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(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136032]) ).
tcf(c_136345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ 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_130291]) ).
tcf(c_136346,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(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_136345]) ).
tcf(c_136354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_130086]) ).
tcf(c_136355,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_136354]) ).
tcf(c_136419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130086]) ).
tcf(c_136442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_130623]) ).
tcf(c_136447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(X1,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130442]) ).
tcf(c_136554,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_135294]) ).
tcf(c_136559,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(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_135294]) ).
tcf(c_136699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_130010]) ).
tcf(c_136734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,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_130297]) ).
tcf(c_136741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_130773]) ).
tcf(c_136802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(s(X4)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X4)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131557]) ).
tcf(c_136872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X1,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130463]) ).
tcf(c_136884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131535]) ).
tcf(c_136999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130326]) ).
tcf(c_137008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130765]) ).
tcf(c_137040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_131053]) ).
tcf(c_137269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131413]) ).
tcf(c_137651,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(X0))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131361]) ).
tcf(c_139405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_135888]) ).
tcf(c_139406,plain,
( ~ b(z,s(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_139405]) ).
tcf(c_139502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136419]) ).
tcf(c_140250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(z),s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_135885]) ).
tcf(c_140265,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(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_135920]) ).
tcf(c_140267,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_140265]) ).
tcf(c_140286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_135925]) ).
tcf(c_140287,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),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))))) ),
inference(instantiation,[status(thm)],[c_140286]) ).
tcf(c_140382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136035]) ).
tcf(c_140512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X0))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_136442]) ).
tcf(c_140513,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_140512]) ).
tcf(c_140529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),X1)
| ~ b(s(z),s(s(s(X2))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_136447]) ).
tcf(c_140790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_135897]) ).
tcf(c_140791,plain,
( ~ 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_140790]) ).
tcf(c_140820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X0),z)
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135907]) ).
tcf(c_141804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_136741]) ).
tcf(c_141849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),X1)
| ~ b(s(z),s(s(s(X2))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_136872]) ).
tcf(c_142002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135932]) ).
tcf(c_142003,plain,
( ~ b(s(z),z)
| ~ b(z,s(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(z)) ),
inference(instantiation,[status(thm)],[c_142002]) ).
tcf(c_142024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135936]) ).
tcf(c_142025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135936]) ).
tcf(c_142073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_136034]) ).
tcf(c_142387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_136699]) ).
tcf(c_142678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136999]) ).
tcf(c_142727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_137008]) ).
tcf(c_142741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_137040]) ).
tcf(c_142846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137269]) ).
tcf(c_143060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),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(X1))) ),
inference(instantiation,[status(thm)],[c_136734]) ).
tcf(c_143270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X2)))),s(X4))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_136802]) ).
tcf(c_144850,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(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139405]) ).
tcf(c_144851,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))))) ),
inference(instantiation,[status(thm)],[c_144850]) ).
tcf(c_144856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),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_139405]) ).
tcf(c_144863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139502]) ).
tcf(c_146190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(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_140250]) ).
tcf(c_146307,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(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_140382]) ).
tcf(c_146308,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(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_146307]) ).
tcf(c_146392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140529]) ).
tcf(c_146393,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146392]) ).
tcf(c_146473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142024]) ).
tcf(c_146474,plain,
( ~ b(z,s(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_146473]) ).
tcf(c_146708,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140790]) ).
tcf(c_146709,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))))) ),
inference(instantiation,[status(thm)],[c_146708]) ).
tcf(c_146724,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),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_140820]) ).
tcf(c_147658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141804]) ).
tcf(c_147683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_141849]) ).
tcf(c_148241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142002]) ).
tcf(c_148242,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_148241]) ).
tcf(c_148320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142025]) ).
tcf(c_148372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),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_142073]) ).
tcf(c_148656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142387]) ).
tcf(c_148657,plain,
( ~ b(s(z),z)
| ~ b(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_148656]) ).
tcf(c_148660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(z,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_142387]) ).
tcf(c_148963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,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))) ),
inference(instantiation,[status(thm)],[c_142678]) ).
tcf(c_149047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142727]) ).
tcf(c_149091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ 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(z))) ),
inference(instantiation,[status(thm)],[c_142741]) ).
tcf(c_149482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(X2)))
| ~ 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(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_143060]) ).
tcf(c_149483,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_149482]) ).
tcf(c_150603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X2)),s(s(s(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_136884]) ).
tcf(c_150613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ 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_133841]) ).
tcf(c_150639,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(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_150613]) ).
tcf(c_150643,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(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_150603]) ).
tcf(c_150714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ 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_143270]) ).
tcf(c_150805,plain,
! [X0: $i,X1: $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(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ 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_133663]) ).
tcf(c_150808,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_150805]) ).
tcf(c_151485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(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_142846]) ).
tcf(c_151613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(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_133950]) ).
tcf(c_153379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ 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_144856]) ).
tcf(c_153404,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),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(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_144863]) ).
tcf(c_153405,plain,
( ~ b(z,s(z))
| ~ b(s(z),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)))))) ),
inference(instantiation,[status(thm)],[c_153404]) ).
tcf(c_153547,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ 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_146724]) ).
tcf(c_153602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_148963]) ).
tcf(c_153931,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(X1),z)
| ~ 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_146190]) ).
tcf(c_153932,plain,
( ~ b(s(z),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_153931]) ).
tcf(c_154991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_149091]) ).
tcf(c_154992,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))))) ),
inference(instantiation,[status(thm)],[c_154991]) ).
tcf(c_155446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_147658]) ).
tcf(c_155447,plain,
( ~ 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)))
| ~ 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_155446]) ).
tcf(c_155466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_147683]) ).
tcf(c_155467,plain,
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(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_155466]) ).
tcf(c_156351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(X1),s(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_148320]) ).
tcf(c_156352,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(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_156351]) ).
tcf(c_156397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),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_148372]) ).
tcf(c_156398,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(s(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(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_156397]) ).
tcf(c_156754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),s(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_148660]) ).
tcf(c_157207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),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_149047]) ).
tcf(c_157208,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))))) ),
inference(instantiation,[status(thm)],[c_157207]) ).
tcf(c_159572,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ 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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_153379]) ).
tcf(c_159573,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_159572]) ).
tcf(c_160409,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(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(z))))) ),
inference(instantiation,[status(thm)],[c_151485]) ).
tcf(c_160850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(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)))))) ),
inference(instantiation,[status(thm)],[c_151613]) ).
tcf(c_160851,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(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_160850]) ).
tcf(c_167598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(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(z))))) ),
inference(instantiation,[status(thm)],[c_150714]) ).
tcf(c_170433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(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(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_156754]) ).
tcf(c_176165,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130595]) ).
tcf(c_176179,plain,
! [X0: $i] :
( ~ 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_129954]) ).
tcf(c_176180,plain,
( ~ 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_176179]) ).
tcf(c_176183,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_176165]) ).
tcf(c_176187,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))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130724]) ).
tcf(c_176188,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_176187]) ).
tcf(c_176244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_130723]) ).
tcf(c_176249,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_130595]) ).
tcf(c_176258,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_130333]) ).
tcf(c_176263,plain,
! [X0: $i] :
( ~ 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_129954]) ).
tcf(c_176266,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_176258]) ).
tcf(c_176268,plain,
( ~ 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_176249]) ).
tcf(c_176269,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(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_176244]) ).
tcf(c_176274,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_131736]) ).
tcf(c_176275,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(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_176274]) ).
tcf(c_176294,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(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_136559]) ).
tcf(c_176295,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(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_134993]) ).
tcf(c_176347,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_134951]) ).
tcf(c_176360,plain,
! [X0: $i] :
( ~ r(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(z)))) ),
inference(instantiation,[status(thm)],[c_134191]) ).
tcf(c_176361,plain,
! [X0: $i] :
( ~ 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_134105]) ).
tcf(c_176362,plain,
( ~ 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_176361]) ).
tcf(c_176363,plain,
( ~ 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_176360]) ).
tcf(c_176365,plain,
( ~ 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(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_176347]) ).
tcf(c_176420,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_136554]) ).
tcf(c_176426,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)))) ),
inference(instantiation,[status(thm)],[c_176420]) ).
tcf(c_178418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_153602]) ).
tcf(c_178468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_137651]) ).
tcf(c_178502,plain,
( ~ 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(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_178468]) ).
tcf(c_178505,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_178418]) ).
tcf(c_178783,plain,
! [X0: $i] :
( ~ 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(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_160409]) ).
tcf(c_181726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_167598]) ).
tcf(c_181727,plain,
( ~ 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(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_181726]) ).
tcf(c_183685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(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(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170433]) ).
tcf(c_183686,plain,
( ~ b(s(z),z)
| ~ b(z,s(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_183685]) ).
tcf(c_184192,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_183686,c_181727,c_178783,c_178505,c_178502,c_176426,c_176365,c_176363,c_176360,c_176362,c_176361,c_176294,c_176295,c_176275,c_176269,c_176268,c_176266,c_176258,c_176263,c_176188,c_176183,c_176180,c_160851,c_159573,c_157208,c_156398,c_156352,c_155467,c_155447,c_154992,c_153932,c_153547,c_153405,c_150808,c_150643,c_150639,c_149483,c_148657,c_148242,c_146709,c_146474,c_146393,c_146308,c_144851,c_142003,c_140791,c_140513,c_140287,c_140267,c_139406,c_136355,c_136346,c_136039,c_135922,c_135887,c_134192,c_133726,c_133250,c_133141,c_131358,c_131136,c_129413,c_128885,c_128150,c_128149,c_128146,c_128148,c_128147,c_127863,c_127564,c_126645,c_126646,c_123448,c_120935,c_120921,c_120881,c_120671,c_120241,c_120236,c_120235,c_120229,c_118903,c_117937,c_117252,c_116960,c_116959,c_116334,c_116329,c_116328,c_115301,c_112467,c_109418,c_109402,c_109344,c_107338,c_107335,c_107334,c_107301,c_107080,c_107079,c_107058,c_107057,c_102737,c_102738,c_100682,c_100683,c_99806,c_99690,c_99696,c_99677,c_99675,c_99647,c_99643,c_99612,c_99386,c_99379,c_99220,c_99226,c_99209,c_99176,c_99171,c_98897,c_98924,c_98914,c_98748,c_98724,c_98722,c_98716,c_98715,c_98454,c_98344,c_98313,c_98290,c_98291,c_98180,c_98168,c_95929,c_93736,c_93646,c_93365,c_93361,c_93360,c_93335,c_91055,c_90947,c_90707,c_90706,c_90686,c_90685,c_90660,c_90659,c_90639,c_90638,c_90125,c_90085,c_88434,c_88418,c_88334,c_87904,c_87900,c_87898,c_87777,c_87700,c_87661,c_87659,c_87649,c_87488,c_87487,c_85621,c_85618,c_85586,c_85585,c_84820,c_84819,c_84801,c_84800,c_84734,c_84730,c_81553,c_81393,c_78561,c_77836,c_75853,c_73320,c_73009,c_72465,c_70979,c_70978,c_68987,c_68986,c_68978,c_68977,c_68886,c_67790,c_67789,c_67783,c_67782,c_64069,c_64068,c_63748,c_62697,c_62698,c_62699,c_62838,c_62828,c_61577,c_60684,c_59786,c_59656,c_59655,c_59638,c_59637,c_59622,c_59621,c_59598,c_59597,c_56431,c_55490,c_55465,c_55439,c_55298,c_55297,c_55222,c_55112,c_55113,c_55156,c_55155,c_55115,c_55152,c_55147,c_55146,c_55145,c_54928,c_54972,c_54930,c_54965,c_54961,c_51722,c_51431,c_50418,c_50417,c_50393,c_50392,c_49090,c_48479,c_48233,c_48145,c_44246,c_44118,c_42346,c_41709,c_41158,c_40941,c_40341,c_39914,c_39672,c_39637,c_38506,c_36945,c_36478,c_36289,c_36240,c_35886,c_35567,c_35351,c_33948,c_32042,c_31651,c_30471,c_29543,c_29542,c_29137,c_28725,c_28723,c_26386,c_26362,c_26340,c_26339,c_26332,c_26331,c_26237,c_26070,c_26060,c_26047,c_25975,c_25942,c_25208,c_25123,c_25122,c_24670,c_24608,c_24518,c_23149,c_22046,c_21941,c_21846,c_21115,c_21041,c_18756,c_18576,c_18005,c_17864,c_17863,c_17843,c_17711,c_17640,c_16487,c_16336,c_16249,c_16220,c_16150,c_16149,c_16147,c_16144,c_15833,c_15832,c_15811,c_15810,c_15646,c_15263,c_15262,c_15122,c_14982,c_14968,c_14966,c_14953,c_14727,c_14682,c_14656,c_14625,c_14624,c_14622,c_14621,c_14257,c_14016,c_13871,c_13785,c_13783,c_13439,c_13408,c_13402,c_13398,c_13102,c_13100,c_12859,c_12706,c_12702,c_12681,c_12639,c_12621,c_12589,c_12588,c_12587,c_12251,c_12249,c_11634,c_11583,c_11455,c_11453,c_10757,c_10648,c_10609,c_10607,c_10599,c_10361,c_10180,c_10179,c_10169,c_10153,c_9594,c_9586,c_9387,c_9165,c_9029,c_9021,c_8845,c_8829,c_8705,c_8547,c_8523,c_8453,c_8238,c_8234,c_7796,c_7794,c_7795,c_7793,c_7289,c_7274,c_7271,c_7058,c_7053,c_7022,c_6656,c_6608,c_6480,c_6459,c_6429,c_6413,c_6049,c_6043,c_6009,c_5715,c_5649,c_5630,c_5347,c_5007,c_5006,c_4813,c_4812,c_4802,c_4801,c_4675,c_4360,c_4293,c_4276,c_3895,c_3582,c_3581,c_3567,c_3556,c_3555,c_3522,c_3521,c_3121,c_3044,c_3038,c_3017,c_3012,c_2583,c_2582,c_2581,c_2580,c_2578,c_2512,c_2508,c_2507,c_2506,c_2504,c_2503,c_2501,c_2500,c_1944,c_1795,c_1780,c_1423,c_1422,c_1415,c_1414,c_1127,c_1116,c_1030,c_944,c_943,c_932,c_554,c_512,c_375,c_365,c_362,c_298,c_227,c_170,c_167,c_150,c_144,c_108,c_100,c_99,c_91,c_90,c_81,c_79,c_78,c_65,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA135-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 12:58:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 112.37/15.90 % SZS status Started for theBenchmark.p
% 112.37/15.90 % SZS status Unsatisfiable for theBenchmark.p
% 112.37/15.90
% 112.37/15.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 112.37/15.90
% 112.37/15.90 % ------ iProver source info
% 112.37/15.90
% 112.37/15.90 % git: date: 2026-07-19 20:42:38 +0200
% 112.37/15.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 112.37/15.90 % git: non_committed_changes: false
% 112.37/15.90
% 112.37/15.90 % ------ Parsing...% successful
% 112.37/15.90
% 112.37/15.90
% 112.37/15.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 112.37/15.90
% 112.37/15.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 112.37/15.90
% 112.37/15.90 % ------ Preprocessing...%
% 112.37/15.90
% 112.37/15.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 112.37/15.90 % ------ Proving...
% 112.37/15.90 % ------ Problem Properties
% 112.37/15.90
% 112.37/15.90 %
% 112.37/15.90 % clauses 7
% 112.37/15.90 % conjectures 0
% 112.37/15.90 % EPR 5
% 112.37/15.90 % Horn 6
% 112.37/15.90 % unary 3
% 112.37/15.90 % binary 1
% 112.37/15.90 % lits 18
% 112.37/15.90 % lits eq 4
% 112.37/15.90 % fd_pure 0
% 112.37/15.90 % fd_pseudo 0
% 112.37/15.91 % fd_cond 0
% 112.37/15.91 % fd_pseudo_cond 2
% 112.37/15.91 % AC symbols 0
% 112.37/15.91
% 112.37/15.91 % ------ Input Options Time Limit: Unbounded
% 112.37/15.91
% 112.37/15.91
% 112.37/15.91 % ------
% 112.37/15.91 % Current options:
% 112.37/15.91 % ------
% 112.37/15.91
% 112.37/15.91
% 112.37/15.91 %
% 112.37/15.91
% 112.37/15.91 % ------ Proving...
% 112.37/15.91 %
% 112.37/15.91
% 112.37/15.91 % SZS status Unsatisfiable for theBenchmark.p
% 112.37/15.91
% 112.37/15.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 112.37/15.92
% 112.37/15.92
%------------------------------------------------------------------------------