%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA142-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:24:02 PM UTC 2026
% Result : Unsatisfiable 59.16s 15.82s
% Output : CNFRefutation 59.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 2261 ( 33 unt; 0 def)
% Number of atoms : 10961 ( 333 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 19179 (10479 ~;8700 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 5493 ( 0 sgn5493 !; 0 ?;5477 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
fof(f3,axiom,
! [X0] : ~ r(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X0,X4)
| ~ b(X1,X3)
| ~ b(X0,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i] : ~ r(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X3)
| ~ b(X1,X4)
| ~ b(X1,X2)
| ~ b(X0,X3)
| ~ 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_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(X0) )
| ( s(X2) != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_92,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_93,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_100,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_101,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_108,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_107]) ).
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_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_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_167,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_170,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_217,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_218,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_232,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_233,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_235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_257,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_259,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_354,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_356,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_372,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_236]) ).
tcf(c_373,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_375,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_236]) ).
tcf(c_376,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_399,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_400,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_402,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_403,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_428,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_232,c_57]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_515,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_516,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_515]) ).
tcf(c_539,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_540,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_539]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_236]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_665,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_700,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_701,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_588]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_658]) ).
tcf(c_782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_805,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_819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_826,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_663]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_663]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_663]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_668]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_668]) ).
tcf(c_890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_653]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_1254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_577]) ).
tcf(c_1264,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_1267,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1298,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_770]) ).
tcf(c_1299,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1298]) ).
tcf(c_1303,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_498]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_779]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_1312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_782]) ).
tcf(c_1315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_1328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_668]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_714]) ).
tcf(c_1416,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_594]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_594]) ).
tcf(c_1447,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_1482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_1497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_1511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_1531,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_233,c_57]) ).
tcf(c_1549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_1551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_890]) ).
tcf(c_1554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1252]) ).
tcf(c_1556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1252]) ).
tcf(c_1584,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1416]) ).
tcf(c_1585,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1584]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1416]) ).
tcf(c_1592,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1416]) ).
tcf(c_1593,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1592]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X3))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_1903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_1930,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_805]) ).
tcf(c_1931,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_1930]) ).
tcf(c_1945,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_805]) ).
tcf(c_1946,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_1945]) ).
tcf(c_1963,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_805]) ).
tcf(c_1985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1608]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1549]) ).
tcf(c_2068,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1549]) ).
tcf(c_2069,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(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2068]) ).
tcf(c_2179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1554]) ).
tcf(c_2235,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_428,c_56]) ).
tcf(c_2236,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_428,c_57]) ).
tcf(c_2238,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_428,c_129]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_2332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_1328]) ).
tcf(c_2339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1443]) ).
tcf(c_2342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_2343,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1447]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1439]) ).
tcf(c_2346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1315]) ).
tcf(c_2347,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1303]) ).
tcf(c_2348,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1264]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_865]) ).
tcf(c_2352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_2354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_2355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_829]) ).
tcf(c_2356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_2357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_2358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_823]) ).
tcf(c_2359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_819]) ).
tcf(c_2360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_712]) ).
tcf(c_2361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_711]) ).
tcf(c_2362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_2363,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2362]) ).
tcf(c_2364,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2361]) ).
tcf(c_2365,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2360]) ).
tcf(c_2366,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2359]) ).
tcf(c_2367,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2358]) ).
tcf(c_2368,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2357]) ).
tcf(c_2369,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2356]) ).
tcf(c_2370,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2342]) ).
tcf(c_2374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1511]) ).
tcf(c_2375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1496]) ).
tcf(c_2376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1497]) ).
tcf(c_2378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_2392,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_2235,c_59]) ).
tcf(c_2393,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_2392]) ).
tcf(c_2422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1985]) ).
tcf(c_2423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_2424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1482]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1449]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1315]) ).
tcf(c_2440,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1262]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_2447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_866]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_823]) ).
tcf(c_2450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_819]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_712]) ).
tcf(c_2456,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2451]) ).
tcf(c_2457,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2450]) ).
tcf(c_2460,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2447]) ).
tcf(c_2461,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2437]) ).
tcf(c_2463,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2422]) ).
tcf(c_2467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1511]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1496]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(z))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_2470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1497]) ).
tcf(c_2471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_3136,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_515]) ).
tcf(c_3137,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_3136]) ).
tcf(c_3138,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_217]) ).
tcf(c_3139,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_3138]) ).
tcf(c_3141,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_3142,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_3141]) ).
tcf(c_3153,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_539]) ).
tcf(c_3154,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3153]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2469]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2470]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2470]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2471]) ).
tcf(c_3254,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_1963]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2339]) ).
tcf(c_3343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2332]) ).
tcf(c_3360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2336]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2351]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2351]) ).
tcf(c_3378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2352]) ).
tcf(c_3387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2374]) ).
tcf(c_3397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2375]) ).
tcf(c_3407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2423]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2424]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2467]) ).
tcf(c_3487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_3488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_3504,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_3505,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_3504]) ).
tcf(c_3515,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_3516,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3515]) ).
tcf(c_3536,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3537,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3536]) ).
tcf(c_3556,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_107]) ).
tcf(c_3557,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3556]) ).
tcf(c_3582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_769]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1586]) ).
tcf(c_3734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_270]) ).
tcf(c_3736,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3360]) ).
tcf(c_3767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3369]) ).
tcf(c_3795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3378]) ).
tcf(c_3800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3387]) ).
tcf(c_3806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3397]) ).
tcf(c_3853,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3275]) ).
tcf(c_3892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3343]) ).
tcf(c_3912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3372]) ).
tcf(c_3940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3407]) ).
tcf(c_3969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3481]) ).
tcf(c_4002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X1)))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3488]) ).
tcf(c_4057,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(X0))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2264]) ).
tcf(c_4067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1254]) ).
tcf(c_4077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(s(z),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1550]) ).
tcf(c_4084,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(X1),s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1551]) ).
tcf(c_4085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(X2),s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1858]) ).
tcf(c_4090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1311]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_4094,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_4091]) ).
tcf(c_4101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ b(s(X1),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1314]) ).
tcf(c_4330,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3711]) ).
tcf(c_4331,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4330]) ).
tcf(c_4336,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_3711]) ).
tcf(c_4341,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3711]) ).
tcf(c_4342,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4341]) ).
tcf(c_4422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(X3))
| ~ b(s(X3),X1)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1312]) ).
tcf(c_4424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_4426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_4427,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_4424]) ).
tcf(c_4433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1554]) ).
tcf(c_4434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ b(s(X1),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1314]) ).
tcf(c_4437,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1549]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1551]) ).
tcf(c_4442,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4441]) ).
tcf(c_4457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1312]) ).
tcf(c_4459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_4461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_4467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1554]) ).
tcf(c_4468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1314]) ).
tcf(c_4472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_4486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1312]) ).
tcf(c_4488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_4489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1254]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_4491,plain,
( ~ b(z,s(z))
| ~ 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_4488]) ).
tcf(c_4496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1903]) ).
tcf(c_4497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1554]) ).
tcf(c_4501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1549]) ).
tcf(c_4503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_4506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1551]) ).
tcf(c_4624,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_4625,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_4624]) ).
tcf(c_4969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3969]) ).
tcf(c_5003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3892]) ).
tcf(c_5004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3892]) ).
tcf(c_5051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4002]) ).
tcf(c_5138,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_3254]) ).
tcf(c_5139,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_5138]) ).
tcf(c_5157,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_3254]) ).
tcf(c_5158,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_5157]) ).
tcf(c_5275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_5342,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_3254]) ).
tcf(c_5385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_577]) ).
tcf(c_5404,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4084]) ).
tcf(c_5405,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5404]) ).
tcf(c_5411,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4437]) ).
tcf(c_5412,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5411]) ).
tcf(c_5679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4501]) ).
tcf(c_5680,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5679]) ).
tcf(c_5718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4085]) ).
tcf(c_5719,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5718]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4090]) ).
tcf(c_5741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X3))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4459]) ).
tcf(c_5746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(s(z),X1)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_4426]) ).
tcf(c_5748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4426]) ).
tcf(c_5793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ 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_4506]) ).
tcf(c_5809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4077]) ).
tcf(c_5810,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_5809]) ).
tcf(c_5846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4057]) ).
tcf(c_5853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4461]) ).
tcf(c_5865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4490]) ).
tcf(c_5948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4101]) ).
tcf(c_5949,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5948]) ).
tcf(c_5985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4422]) ).
tcf(c_6005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X1),X3)
| ~ b(s(X2),s(z))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4433]) ).
tcf(c_6013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4434]) ).
tcf(c_6014,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_6013]) ).
tcf(c_6049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(z),s(X3))
| ~ b(s(z),s(X1))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4457]) ).
tcf(c_6066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4468]) ).
tcf(c_6075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_6084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_6085,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6084]) ).
tcf(c_6087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_6089,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6087]) ).
tcf(c_6242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X3),s(z))
| ~ b(s(X0),s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4486]) ).
tcf(c_6243,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(X3),s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4486]) ).
tcf(c_6246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4486]) ).
tcf(c_6277,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_576]) ).
tcf(c_6279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2354]) ).
tcf(c_6280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_6281,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6280]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(X1,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_4067]) ).
tcf(c_6391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4467]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X2),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4497]) ).
tcf(c_6421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4497]) ).
tcf(c_6422,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_6421]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4497]) ).
tcf(c_6435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_4503]) ).
tcf(c_6450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(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_5275]) ).
tcf(c_6451,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6450]) ).
tcf(c_6452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_5275]) ).
tcf(c_6453,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6452]) ).
tcf(c_6617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3940]) ).
tcf(c_6622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3912]) ).
tcf(c_6631,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3795]) ).
tcf(c_6632,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3767]) ).
tcf(c_6633,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3762]) ).
tcf(c_6636,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3853]) ).
tcf(c_6645,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6636]) ).
tcf(c_6647,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6633]) ).
tcf(c_6648,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6632]) ).
tcf(c_6649,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6631]) ).
tcf(c_6652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5051]) ).
tcf(c_6798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3940]) ).
tcf(c_6810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3806]) ).
tcf(c_6811,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3800]) ).
tcf(c_6812,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3795]) ).
tcf(c_6813,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3767]) ).
tcf(c_6817,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3853]) ).
tcf(c_6821,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3487]) ).
tcf(c_6824,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6821]) ).
tcf(c_6826,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6817]) ).
tcf(c_6829,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6813]) ).
tcf(c_6830,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6812]) ).
tcf(c_6831,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6811]) ).
tcf(c_6832,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6810]) ).
tcf(c_6837,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4969]) ).
tcf(c_6907,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6277]) ).
tcf(c_6916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5385]) ).
tcf(c_6917,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6916]) ).
tcf(c_7124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5003]) ).
tcf(c_7350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5051]) ).
tcf(c_7351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5004]) ).
tcf(c_7426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_832]) ).
tcf(c_7427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_7431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_7472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_5746]) ).
tcf(c_7479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5748]) ).
tcf(c_7499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5679]) ).
tcf(c_7520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),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_6075]) ).
tcf(c_7534,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),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_6084]) ).
tcf(c_7535,plain,
( ~ r(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_7534]) ).
tcf(c_7577,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),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_6279]) ).
tcf(c_7578,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7577]) ).
tcf(c_7602,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_6340]) ).
tcf(c_7603,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)) ),
inference(instantiation,[status(thm)],[c_7602]) ).
tcf(c_7647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5853]) ).
tcf(c_7651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5853]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5793]) ).
tcf(c_7725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5741]) ).
tcf(c_7726,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_7725]) ).
tcf(c_7758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5865]) ).
tcf(c_7763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(z),s(X1))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_6049]) ).
tcf(c_7850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),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_6005]) ).
tcf(c_7919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X0),s(z))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6242]) ).
tcf(c_8001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ 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(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_6435]) ).
tcf(c_8053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6066]) ).
tcf(c_8055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6066]) ).
tcf(c_8059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6066]) ).
tcf(c_8064,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(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_6243]) ).
tcf(c_8091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6246]) ).
tcf(c_8092,plain,
( ~ b(z,s(z))
| ~ b(s(z),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(s(z))) ),
inference(instantiation,[status(thm)],[c_8091]) ).
tcf(c_8096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X4)
| ~ b(s(X0),X2)
| ~ b(X4,s(s(s(X3))))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(s(X3))),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6246]) ).
tcf(c_8104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6391]) ).
tcf(c_8118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_8138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6424]) ).
tcf(c_8139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_6424]) ).
tcf(c_8176,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_1930]) ).
tcf(c_8177,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_8176]) ).
tcf(c_8183,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_1945]) ).
tcf(c_8184,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_8183]) ).
tcf(c_8283,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_3141]) ).
tcf(c_8284,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_8283]) ).
tcf(c_8338,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6837]) ).
tcf(c_8339,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8338]) ).
tcf(c_8373,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_5342]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7431]) ).
tcf(c_8423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7431]) ).
tcf(c_8424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7431]) ).
tcf(c_8435,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(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7427]) ).
tcf(c_8464,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_8465,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8464]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7426]) ).
tcf(c_8849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7472]) ).
tcf(c_8865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ 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_6617]) ).
tcf(c_8877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ 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_6622]) ).
tcf(c_8911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6798]) ).
tcf(c_9275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5865]) ).
tcf(c_9276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4489]) ).
tcf(c_9343,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6652]) ).
tcf(c_9493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7758]) ).
tcf(c_9501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ 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_7479]) ).
tcf(c_9518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7499]) ).
tcf(c_9527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7520]) ).
tcf(c_9653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7124]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7350]) ).
tcf(c_10042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7351]) ).
tcf(c_10217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7763]) ).
tcf(c_10302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7651]) ).
tcf(c_10303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),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_7919]) ).
tcf(c_10472,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(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8064]) ).
tcf(c_10545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(X0),s(s(X3)))
| ~ 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_8138]) ).
tcf(c_10663,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_1531,c_56]) ).
tcf(c_10708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X3))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8096]) ).
tcf(c_10709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8096]) ).
tcf(c_10713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8096]) ).
tcf(c_10774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8139]) ).
tcf(c_10777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X4)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ 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_8139]) ).
tcf(c_11002,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_10663,c_59]) ).
tcf(c_11003,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_11002]) ).
tcf(c_11086,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1584]) ).
tcf(c_11087,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_11086]) ).
tcf(c_11147,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1592]) ).
tcf(c_11148,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_11147]) ).
tcf(c_11201,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3736]) ).
tcf(c_11205,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_11201]) ).
tcf(c_11301,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_11712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),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_8849]) ).
tcf(c_11865,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9343]) ).
tcf(c_11948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = s(X2) )
| ( s(X2) != s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_3734]) ).
tcf(c_11963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_3582]) ).
tcf(c_12095,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_4336]) ).
tcf(c_12192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8865]) ).
tcf(c_12201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8877]) ).
tcf(c_12228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8911]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9527]) ).
tcf(c_12598,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9527]) ).
tcf(c_12664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9493]) ).
tcf(c_12666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),s(X3))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8118]) ).
tcf(c_12676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_12680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7647]) ).
tcf(c_12685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6418]) ).
tcf(c_12687,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12685]) ).
tcf(c_12690,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12676]) ).
tcf(c_12692,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12664]) ).
tcf(c_12759,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7661]) ).
tcf(c_12813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(X2))),z)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5846]) ).
tcf(c_12819,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_12813]) ).
tcf(c_12906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X3),s(X1))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(z))),s(X1))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8104]) ).
tcf(c_12909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8059]) ).
tcf(c_12910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(s(s(z))),X3)
| ~ 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_8055]) ).
tcf(c_12918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(z))),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_7647]) ).
tcf(c_12923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6418]) ).
tcf(c_12925,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12923]) ).
tcf(c_13066,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9518]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2179]) ).
tcf(c_13592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8423]) ).
tcf(c_13593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8423]) ).
tcf(c_13642,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(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8654]) ).
tcf(c_14250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(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(s(X2))),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10709]) ).
tcf(c_14251,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14250]) ).
tcf(c_14396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9275]) ).
tcf(c_14414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9276]) ).
tcf(c_14515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(z))))
| ~ b(s(X1),s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(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_10302]) ).
tcf(c_14634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X3))),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10708]) ).
tcf(c_14649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10713]) ).
tcf(c_14661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10774]) ).
tcf(c_14683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(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_10777]) ).
tcf(c_14915,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),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_11712]) ).
tcf(c_14916,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14915]) ).
tcf(c_16463,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_12095]) ).
tcf(c_16464,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_16463]) ).
tcf(c_16469,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_12095]) ).
tcf(c_16470,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_16469]) ).
tcf(c_16607,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ 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_13066]) ).
tcf(c_16608,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_16607]) ).
tcf(c_17062,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12759]) ).
tcf(c_17063,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17062]) ).
tcf(c_17089,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_3136]) ).
tcf(c_17090,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_17089]) ).
tcf(c_17099,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_3153]) ).
tcf(c_17100,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_17099]) ).
tcf(c_17153,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_3138]) ).
tcf(c_17154,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_17153]) ).
tcf(c_18146,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(X1) )
| ( s(X1) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_11948]) ).
tcf(c_18147,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_4624]) ).
tcf(c_18148,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(z) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_18146]) ).
tcf(c_18149,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_18147]) ).
tcf(c_18260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_11963]) ).
tcf(c_18261,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_18260]) ).
tcf(c_18803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13593]) ).
tcf(c_19613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14661]) ).
tcf(c_20185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X3),s(X1))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14396]) ).
tcf(c_20340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_12666]) ).
tcf(c_20341,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)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20340]) ).
tcf(c_20617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ 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_12906]) ).
tcf(c_20618,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(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))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20617]) ).
tcf(c_20644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_12909]) ).
tcf(c_20645,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20644]) ).
tcf(c_20657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12910]) ).
tcf(c_20670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ 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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12918]) ).
tcf(c_20671,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(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_20670]) ).
tcf(c_20858,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(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14414]) ).
tcf(c_20859,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20858]) ).
tcf(c_21240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ 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(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14515]) ).
tcf(c_21241,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21240]) ).
tcf(c_21309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ 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(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14634]) ).
tcf(c_21439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12680]) ).
tcf(c_21440,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))
| ~ 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_21439]) ).
tcf(c_21792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_14683]) ).
tcf(c_21793,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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21792]) ).
tcf(c_21901,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_2236,c_56]) ).
tcf(c_22325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),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_13443]) ).
tcf(c_22694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ 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_14649]) ).
tcf(c_22791,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_8373]) ).
tcf(c_22792,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_22791]) ).
tcf(c_22816,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_8373]) ).
tcf(c_22817,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_22816]) ).
tcf(c_22965,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_3504]) ).
tcf(c_22966,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_22965]) ).
tcf(c_23003,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5385]) ).
tcf(c_23011,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23003]) ).
tcf(c_23021,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_23022,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23021]) ).
tcf(c_23029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2437]) ).
tcf(c_23030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2346]) ).
tcf(c_23031,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23030]) ).
tcf(c_23032,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23029]) ).
tcf(c_23033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3228]) ).
tcf(c_23036,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2345]) ).
tcf(c_23038,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23036]) ).
tcf(c_23039,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23033]) ).
tcf(c_23041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7427]) ).
tcf(c_23047,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23041]) ).
tcf(c_23052,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13592]) ).
tcf(c_23054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_23055,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_23054]) ).
tcf(c_23056,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23052]) ).
tcf(c_23072,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8420]) ).
tcf(c_23073,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8435]) ).
tcf(c_23077,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23073]) ).
tcf(c_23078,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23072]) ).
tcf(c_23080,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(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8424]) ).
tcf(c_23085,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_23080]) ).
tcf(c_23091,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2445]) ).
tcf(c_23092,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2428]) ).
tcf(c_23095,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23092]) ).
tcf(c_23096,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23091]) ).
tcf(c_23107,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3241]) ).
tcf(c_23108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2378]) ).
tcf(c_23109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2376]) ).
tcf(c_23112,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2347]) ).
tcf(c_23113,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2343]) ).
tcf(c_23114,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23113]) ).
tcf(c_23115,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23112]) ).
tcf(c_23116,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23109]) ).
tcf(c_23117,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23108]) ).
tcf(c_23118,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_23107]) ).
tcf(c_23127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2449]) ).
tcf(c_23131,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23127]) ).
tcf(c_25129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ 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_19613]) ).
tcf(c_25130,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))))) ),
inference(instantiation,[status(thm)],[c_25129]) ).
tcf(c_25182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ 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_20185]) ).
tcf(c_25183,plain,
( ~ b(s(s(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))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25182]) ).
tcf(c_26095,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_2238]) ).
tcf(c_27565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X3),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(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22694]) ).
tcf(c_27566,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27565]) ).
tcf(c_27665,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_5385]) ).
tcf(c_27673,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_27665]) ).
tcf(c_27859,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(X0))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(X0),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5985]) ).
tcf(c_27860,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(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27859]) ).
tcf(c_27948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(X1),s(s(X0)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10472]) ).
tcf(c_27949,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27948]) ).
tcf(c_28091,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(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11712]) ).
tcf(c_28127,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_28091]) ).
tcf(c_28187,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7661]) ).
tcf(c_28192,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28187]) ).
tcf(c_28258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X2,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_9501]) ).
tcf(c_28259,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28258]) ).
tcf(c_29031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(X1,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_8001]) ).
tcf(c_29040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ 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_5948]) ).
tcf(c_29047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5725]) ).
tcf(c_29056,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29047]) ).
tcf(c_29057,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_29040]) ).
tcf(c_29060,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_29031]) ).
tcf(c_29130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(X0),s(s(X3)))
| ~ 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_10545]) ).
tcf(c_29146,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_29130]) ).
tcf(c_30129,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18803]) ).
tcf(c_30131,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13642]) ).
tcf(c_30171,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30131]) ).
tcf(c_30172,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30129]) ).
tcf(c_30193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_9653]) ).
tcf(c_30194,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30193]) ).
tcf(c_30201,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10042]) ).
tcf(c_30202,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10032]) ).
tcf(c_30205,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30202]) ).
tcf(c_30206,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30201]) ).
tcf(c_30469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ 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)))))) ),
inference(instantiation,[status(thm)],[c_22325]) ).
tcf(c_30471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21309]) ).
tcf(c_30474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20657]) ).
tcf(c_30481,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30474]) ).
tcf(c_30484,plain,
( ~ b(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(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30471]) ).
tcf(c_30486,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30469]) ).
tcf(c_31378,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8435]) ).
tcf(c_31379,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6075]) ).
tcf(c_31380,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2355]) ).
tcf(c_31381,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31380]) ).
tcf(c_31382,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31379]) ).
tcf(c_31383,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31378]) ).
tcf(c_31388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3416]) ).
tcf(c_31390,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31388]) ).
tcf(c_31395,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3234]) ).
tcf(c_31396,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3233]) ).
tcf(c_31397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2377]) ).
tcf(c_31400,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2348]) ).
tcf(c_31401,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31400]) ).
tcf(c_31402,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31397]) ).
tcf(c_31403,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31396]) ).
tcf(c_31404,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31395]) ).
tcf(c_31412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2447]) ).
tcf(c_31413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2433]) ).
tcf(c_31414,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2440]) ).
tcf(c_31416,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31414]) ).
tcf(c_31417,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31413]) ).
tcf(c_31418,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31412]) ).
tcf(c_31719,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ 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_1263]) ).
tcf(c_31720,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31719]) ).
tcf(c_31984,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11865]) ).
tcf(c_31985,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31984]) ).
tcf(c_32006,plain,
! [X0: $i] :
( ~ r(s(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_12597]) ).
tcf(c_32007,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32006]) ).
tcf(c_32014,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12598]) ).
tcf(c_32015,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32014]) ).
tcf(c_33463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11712]) ).
tcf(c_33466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10303]) ).
tcf(c_33467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10217]) ).
tcf(c_33482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_33491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6418]) ).
tcf(c_33493,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33491]) ).
tcf(c_33496,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33482]) ).
tcf(c_33499,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33467]) ).
tcf(c_33500,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33466]) ).
tcf(c_33502,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_33463]) ).
tcf(c_33638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9501]) ).
tcf(c_33639,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33638]) ).
tcf(c_33703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10217]) ).
tcf(c_33718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8053]) ).
tcf(c_33721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7850]) ).
tcf(c_33727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6418]) ).
tcf(c_33728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5985]) ).
tcf(c_33729,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33728]) ).
tcf(c_33730,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33727]) ).
tcf(c_33732,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33721]) ).
tcf(c_33733,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33718]) ).
tcf(c_33736,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33703]) ).
tcf(c_33978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4496]) ).
tcf(c_33983,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_33978]) ).
tcf(c_34683,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2028]) ).
tcf(c_34684,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_34683]) ).
tcf(c_35016,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_831]) ).
tcf(c_35017,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_35016]) ).
tcf(c_35575,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_26095,c_57]) ).
tcf(c_35886,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12192]) ).
tcf(c_35887,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35886]) ).
tcf(c_35896,plain,
! [X0: $i,X1: $i] :
( ~ r(s(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_12201]) ).
tcf(c_35897,plain,
( ~ r(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))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35896]) ).
tcf(c_35924,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12228]) ).
tcf(c_35925,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35924]) ).
tcf(c_38071,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_38072,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_38073,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_38074,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_38075,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_38076,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_38077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_38078,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_38079,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_38080,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_38073]) ).
tcf(c_38081,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_38155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_38166,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_38170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_38177,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38077]) ).
tcf(c_38178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38077]) ).
tcf(c_38183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_38184,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38077]) ).
tcf(c_38190,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_38078]) ).
tcf(c_38191,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38177]) ).
tcf(c_38197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38170]) ).
tcf(c_38198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38170]) ).
tcf(c_38199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38170]) ).
tcf(c_38204,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_38166]) ).
tcf(c_38206,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38178]) ).
tcf(c_38207,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_38072]) ).
tcf(c_38209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_38183]) ).
tcf(c_38227,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_38190]) ).
tcf(c_38230,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_38076]) ).
tcf(c_38233,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(X1)))
| r(s(X0),s(s(X1)))
| ( s(X0) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_38190]) ).
tcf(c_38235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38170]) ).
tcf(c_38236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_38237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38077]) ).
tcf(c_38256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38198]) ).
tcf(c_38261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(s(X1)),z)
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38287,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_38081]) ).
tcf(c_38288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38218]) ).
tcf(c_38291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38198]) ).
tcf(c_38311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38199]) ).
tcf(c_38312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38197]) ).
tcf(c_38313,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38184]) ).
tcf(c_38314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38178]) ).
tcf(c_38315,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38177]) ).
tcf(c_38316,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_38227]) ).
tcf(c_38317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38155]) ).
tcf(c_38318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38256]) ).
tcf(c_38319,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38206]) ).
tcf(c_38337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38198]) ).
tcf(c_38338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38199]) ).
tcf(c_38340,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38184]) ).
tcf(c_38341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38178]) ).
tcf(c_38342,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38177]) ).
tcf(c_38343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38155]) ).
tcf(c_38355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38237]) ).
tcf(c_38356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38237]) ).
tcf(c_38360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38235]) ).
tcf(c_38363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38236]) ).
tcf(c_38364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_38236]) ).
tcf(c_38371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X0)),z)
| ~ 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_38209]) ).
tcf(c_38410,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38319]) ).
tcf(c_38422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38288]) ).
tcf(c_38423,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_38288]) ).
tcf(c_38424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38288]) ).
tcf(c_38431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38318]) ).
tcf(c_38459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38364]) ).
tcf(c_38460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_38364]) ).
tcf(c_38489,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_38079]) ).
tcf(c_38490,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_38316]) ).
tcf(c_38527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X2),s(X1))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38314]) ).
tcf(c_38542,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(X0))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38343]) ).
tcf(c_38543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X0))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38343]) ).
tcf(c_38550,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38355]) ).
tcf(c_38551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38355]) ).
tcf(c_38558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38310]) ).
tcf(c_38559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38310]) ).
tcf(c_38568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),s(X2))
| ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38337]) ).
tcf(c_38575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38360]) ).
tcf(c_38576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38360]) ).
tcf(c_38588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38363]) ).
tcf(c_38589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(z))
| ~ r(X1,s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_38363]) ).
tcf(c_38590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38363]) ).
tcf(c_38593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X0,s(s(X2)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38261]) ).
tcf(c_38594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38371]) ).
tcf(c_38597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38371]) ).
tcf(c_38598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X0)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38371]) ).
tcf(c_38599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_38291]) ).
tcf(c_38602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38291]) ).
tcf(c_38603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X4)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X4)))
| ~ b(X1,s(s(X4)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_38293]) ).
tcf(c_38606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38293]) ).
tcf(c_38618,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_38489]) ).
tcf(c_38622,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_38489]) ).
tcf(c_38631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38460]) ).
tcf(c_38633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38460]) ).
tcf(c_38663,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38317]) ).
tcf(c_38703,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38431]) ).
tcf(c_38714,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38542]) ).
tcf(c_38718,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38550]) ).
tcf(c_38720,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(X1),z)
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_38589]) ).
tcf(c_38721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X1))
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_38589]) ).
tcf(c_38722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(X1),X2)
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_38589]) ).
tcf(c_38787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38558]) ).
tcf(c_38795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38575]) ).
tcf(c_38804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),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_38527]) ).
tcf(c_38806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38527]) ).
tcf(c_38810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38543]) ).
tcf(c_38811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38543]) ).
tcf(c_38813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38543]) ).
tcf(c_38820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38551]) ).
tcf(c_38822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(s(X2),z)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38590]) ).
tcf(c_38823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38590]) ).
tcf(c_38824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38590]) ).
tcf(c_38834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38459]) ).
tcf(c_38841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38559]) ).
tcf(c_38843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_38559]) ).
tcf(c_38851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38568]) ).
tcf(c_38859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38576]) ).
tcf(c_38882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38593]) ).
tcf(c_38892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38599]) ).
tcf(c_38895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38599]) ).
tcf(c_38898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38603]) ).
tcf(c_38901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38603]) ).
tcf(c_38913,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_38316]) ).
tcf(c_38917,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_38074]) ).
tcf(c_38925,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38720]) ).
tcf(c_38926,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_38925]) ).
tcf(c_38940,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_38316]) ).
tcf(c_38965,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38663]) ).
tcf(c_38966,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(X1))))
| r(s(X0),s(s(s(X1))))
| ( s(X0) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_38233]) ).
tcf(c_39002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38631]) ).
tcf(c_39003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38631]) ).
tcf(c_39015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38721]) ).
tcf(c_39019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(X0)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_38722]) ).
tcf(c_39066,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38787]) ).
tcf(c_39075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38822]) ).
tcf(c_39076,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38822]) ).
tcf(c_39077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38822]) ).
tcf(c_39116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38823]) ).
tcf(c_39117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38823]) ).
tcf(c_39118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38823]) ).
tcf(c_39123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(s(X0)),X3)
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38824]) ).
tcf(c_39124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38824]) ).
tcf(c_39125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38824]) ).
tcf(c_39139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ 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_38841]) ).
tcf(c_39148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38851]) ).
tcf(c_39150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38851]) ).
tcf(c_39251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_38859]) ).
tcf(c_39252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_38843]) ).
tcf(c_39253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_38841]) ).
tcf(c_39256,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_38804]) ).
tcf(c_39312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_39002]) ).
tcf(c_39392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38859]) ).
tcf(c_39393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_38843]) ).
tcf(c_39394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38841]) ).
tcf(c_39395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38813]) ).
tcf(c_39396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38811]) ).
tcf(c_39397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),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_38804]) ).
tcf(c_39400,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38810]) ).
tcf(c_39401,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38714]) ).
tcf(c_39403,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38410]) ).
tcf(c_39404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38317]) ).
tcf(c_39411,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_38940]) ).
tcf(c_39412,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38965]) ).
tcf(c_39832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38795]) ).
tcf(c_39833,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38787]) ).
tcf(c_39834,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38810]) ).
tcf(c_39837,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38410]) ).
tcf(c_39908,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39117]) ).
tcf(c_39909,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39908]) ).
tcf(c_39910,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_39117]) ).
tcf(c_39912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39117]) ).
tcf(c_39917,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39124]) ).
tcf(c_39918,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39917]) ).
tcf(c_39919,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_39124]) ).
tcf(c_39921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39124]) ).
tcf(c_39929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39139]) ).
tcf(c_39952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_39003]) ).
tcf(c_39984,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39118]) ).
tcf(c_39986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39118]) ).
tcf(c_39987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39118]) ).
tcf(c_40004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_39125]) ).
tcf(c_40005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39125]) ).
tcf(c_40006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39125]) ).
tcf(c_40012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_39148]) ).
tcf(c_40013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39148]) ).
tcf(c_40014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39148]) ).
tcf(c_40020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_39150]) ).
tcf(c_40021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39150]) ).
tcf(c_40022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39150]) ).
tcf(c_40273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39312]) ).
tcf(c_40523,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_38618]) ).
tcf(c_40589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39929]) ).
tcf(c_40622,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40012]) ).
tcf(c_40631,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40020]) ).
tcf(c_40681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39952]) ).
tcf(c_40723,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39984]) ).
tcf(c_40748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39392]) ).
tcf(c_40757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39393]) ).
tcf(c_40765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39394]) ).
tcf(c_40821,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(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39986]) ).
tcf(c_40824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39986]) ).
tcf(c_40834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39987]) ).
tcf(c_40860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40005]) ).
tcf(c_40883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40013]) ).
tcf(c_40891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40014]) ).
tcf(c_40892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40014]) ).
tcf(c_40903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40021]) ).
tcf(c_41123,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_40523]) ).
tcf(c_41128,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_40523]) ).
tcf(c_41352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40273]) ).
tcf(c_41353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40273]) ).
tcf(c_41405,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40622]) ).
tcf(c_41417,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40631]) ).
tcf(c_41461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40765]) ).
tcf(c_41623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_40681]) ).
tcf(c_41633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40834]) ).
tcf(c_41636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40834]) ).
tcf(c_41792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40891]) ).
tcf(c_41835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40748]) ).
tcf(c_41836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40748]) ).
tcf(c_41847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),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_40757]) ).
tcf(c_41923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40883]) ).
tcf(c_41935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40892]) ).
tcf(c_41944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40903]) ).
tcf(c_41997,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_39411]) ).
tcf(c_42014,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_39411]) ).
tcf(c_42141,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_38287]) ).
tcf(c_42304,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41405]) ).
tcf(c_42312,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41417]) ).
tcf(c_42536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41792]) ).
tcf(c_42576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41633]) ).
tcf(c_42577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41633]) ).
tcf(c_42587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41636]) ).
tcf(c_42588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41636]) ).
tcf(c_42632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41935]) ).
tcf(c_42633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41935]) ).
tcf(c_42875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41835]) ).
tcf(c_42883,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40589]) ).
tcf(c_42884,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39412]) ).
tcf(c_43054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41923]) ).
tcf(c_43056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41847]) ).
tcf(c_43195,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42312]) ).
tcf(c_43402,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42304]) ).
tcf(c_43403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41944]) ).
tcf(c_43404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41923]) ).
tcf(c_43408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41835]) ).
tcf(c_43616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ 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_41847]) ).
tcf(c_43617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41836]) ).
tcf(c_43618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41835]) ).
tcf(c_43623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41461]) ).
tcf(c_43627,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39412]) ).
tcf(c_43655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42576]) ).
tcf(c_43789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42536]) ).
tcf(c_43839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42577]) ).
tcf(c_43846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42588]) ).
tcf(c_43849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42588]) ).
tcf(c_43857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42632]) ).
tcf(c_43869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42633]) ).
tcf(c_43874,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_38490]) ).
tcf(c_43888,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_38913]) ).
tcf(c_43947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43655]) ).
tcf(c_44408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ 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_42875]) ).
tcf(c_44435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43054]) ).
tcf(c_44492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43056]) ).
tcf(c_44628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43857]) ).
tcf(c_44722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43839]) ).
tcf(c_44757,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43846]) ).
tcf(c_44758,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44757]) ).
tcf(c_45450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38892]) ).
tcf(c_45451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38882]) ).
tcf(c_45452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,X3)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38606]) ).
tcf(c_45453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38602]) ).
tcf(c_45454,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_45451]) ).
tcf(c_45456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38895]) ).
tcf(c_45457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38594]) ).
tcf(c_45517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38606]) ).
tcf(c_45520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X3)),X1)
| ~ b(s(s(z)),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38898]) ).
tcf(c_45521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(z)),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38895]) ).
tcf(c_45525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38901]) ).
tcf(c_45661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X4)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38892]) ).
tcf(c_45663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38606]) ).
tcf(c_45664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38602]) ).
tcf(c_45666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38898]) ).
tcf(c_45667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38895]) ).
tcf(c_45668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38594]) ).
tcf(c_45670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38901]) ).
tcf(c_45672,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(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38598]) ).
tcf(c_45673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38597]) ).
tcf(c_45683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(s(X4)),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38892]) ).
tcf(c_45685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38606]) ).
tcf(c_45686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38602]) ).
tcf(c_45688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38898]) ).
tcf(c_45689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X3)),X2)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38895]) ).
tcf(c_45692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38901]) ).
tcf(c_45884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44408]) ).
tcf(c_45902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44435]) ).
tcf(c_45938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44492]) ).
tcf(c_45965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44628]) ).
tcf(c_45985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43947]) ).
tcf(c_45996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44722]) ).
tcf(c_45997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44722]) ).
tcf(c_47263,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_38204]) ).
tcf(c_47796,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_38207]) ).
tcf(c_47829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45996]) ).
tcf(c_47830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45996]) ).
tcf(c_47831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45996]) ).
tcf(c_47843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45997]) ).
tcf(c_47844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45997]) ).
tcf(c_47965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45457]) ).
tcf(c_47967,plain,
( ~ b(z,s(s(z)))
| ~ 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_47965]) ).
tcf(c_47982,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(s(X1)))))
| r(s(X0),s(s(s(s(X1)))))
| ( s(X0) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_38966]) ).
tcf(c_48001,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_38917]) ).
tcf(c_48004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45450]) ).
tcf(c_48017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_45452]) ).
tcf(c_48020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45452]) ).
tcf(c_48097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45520]) ).
tcf(c_48098,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48097]) ).
tcf(c_48104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45521]) ).
tcf(c_48110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_45525]) ).
tcf(c_48111,plain,
( ~ b(z,s(s(z)))
| ~ 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(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48110]) ).
tcf(c_48133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45663]) ).
tcf(c_48179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45517]) ).
tcf(c_48182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45517]) ).
tcf(c_48242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45661]) ).
tcf(c_48283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45670]) ).
tcf(c_48301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45683]) ).
tcf(c_48316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45685]) ).
tcf(c_48331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45686]) ).
tcf(c_48338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(z)),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45688]) ).
tcf(c_48340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_45688]) ).
tcf(c_48341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45688]) ).
tcf(c_48348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(s(s(z)),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45689]) ).
tcf(c_48350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ 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_45689]) ).
tcf(c_48351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45689]) ).
tcf(c_48361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45692]) ).
tcf(c_48417,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39912]) ).
tcf(c_48422,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48417]) ).
tcf(c_48426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38834]) ).
tcf(c_48427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38588]) ).
tcf(c_48428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39077]) ).
tcf(c_48429,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39076]) ).
tcf(c_48430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38311]) ).
tcf(c_48431,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38313]) ).
tcf(c_48435,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48429]) ).
tcf(c_48441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38338]) ).
tcf(c_48442,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38342]) ).
tcf(c_48443,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38340]) ).
tcf(c_48447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40860]) ).
tcf(c_48448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40824]) ).
tcf(c_48460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_39075]) ).
tcf(c_48461,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_38925]) ).
tcf(c_48462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38422]) ).
tcf(c_48463,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38423]) ).
tcf(c_48465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38312]) ).
tcf(c_48466,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38315]) ).
tcf(c_48468,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_38191]) ).
tcf(c_48469,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_48468]) ).
tcf(c_48470,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48463]) ).
tcf(c_48471,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_48461]) ).
tcf(c_48488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38820]) ).
tcf(c_48489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38806]) ).
tcf(c_48492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38424]) ).
tcf(c_48493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38356]) ).
tcf(c_48494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38341]) ).
tcf(c_48498,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39252]) ).
tcf(c_48499,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39251]) ).
tcf(c_48641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45664]) ).
tcf(c_48644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45456]) ).
tcf(c_48645,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48644]) ).
tcf(c_48650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45672]) ).
tcf(c_48651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45686]) ).
tcf(c_48834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_39019]) ).
tcf(c_48835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38631]) ).
tcf(c_48837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38314]) ).
tcf(c_48842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38633]) ).
tcf(c_48855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_39123]) ).
tcf(c_48921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39921]) ).
tcf(c_48922,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(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39912]) ).
tcf(c_48923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_39015]) ).
tcf(c_48925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38355]) ).
tcf(c_48929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40006]) ).
tcf(c_48930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39987]) ).
tcf(c_48931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_39116]) ).
tcf(c_48932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38834]) ).
tcf(c_48933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38588]) ).
tcf(c_48959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40821]) ).
tcf(c_48960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39404]) ).
tcf(c_48961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40860]) ).
tcf(c_48962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40824]) ).
tcf(c_48975,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40723]) ).
tcf(c_48976,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38663]) ).
tcf(c_49355,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(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45666]) ).
tcf(c_49356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45661]) ).
tcf(c_49357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45668]) ).
tcf(c_49385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(X3,s(s(z)))
| ~ b(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_45453]) ).
tcf(c_49388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ 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(X1))) ),
inference(instantiation,[status(thm)],[c_45667]) ).
tcf(c_49389,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(X1)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45672]) ).
tcf(c_49393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45683]) ).
tcf(c_49580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(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_48017]) ).
tcf(c_49582,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(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_48017]) ).
tcf(c_49616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48179]) ).
tcf(c_49617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X1),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_48179]) ).
tcf(c_49618,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49617]) ).
tcf(c_49661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47830]) ).
tcf(c_49686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47843]) ).
tcf(c_49760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48020]) ).
tcf(c_49814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48004]) ).
tcf(c_49858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48097]) ).
tcf(c_49863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48097]) ).
tcf(c_49881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48104]) ).
tcf(c_49882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_48104]) ).
tcf(c_49883,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49882]) ).
tcf(c_49951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48283]) ).
tcf(c_50005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48133]) ).
tcf(c_50008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48133]) ).
tcf(c_50036,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(X2),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48182]) ).
tcf(c_50106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X1)),X4)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48242]) ).
tcf(c_50154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48301]) ).
tcf(c_50171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48316]) ).
tcf(c_50172,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(X2)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48316]) ).
tcf(c_50190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48331]) ).
tcf(c_50212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48341]) ).
tcf(c_50216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),X4)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48341]) ).
tcf(c_50238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48351]) ).
tcf(c_50242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48351]) ).
tcf(c_50259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48361]) ).
tcf(c_50260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48361]) ).
tcf(c_50613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47844]) ).
tcf(c_50774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48348]) ).
tcf(c_50776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48338]) ).
tcf(c_50777,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_50776]) ).
tcf(c_50835,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48430]) ).
tcf(c_50836,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_50835]) ).
tcf(c_50858,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48431]) ).
tcf(c_51037,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48442]) ).
tcf(c_51038,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51037]) ).
tcf(c_51041,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48442]) ).
tcf(c_51061,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48443]) ).
tcf(c_51062,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51061]) ).
tcf(c_51097,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_51098,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_51097]) ).
tcf(c_51099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_51188,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48492]) ).
tcf(c_51245,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49582]) ).
tcf(c_51246,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51245]) ).
tcf(c_51343,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48426]) ).
tcf(c_51344,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51343]) ).
tcf(c_51347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48426]) ).
tcf(c_51352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48427]) ).
tcf(c_51414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48441]) ).
tcf(c_51423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48447]) ).
tcf(c_51426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48448]) ).
tcf(c_51814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47831]) ).
tcf(c_52058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49661]) ).
tcf(c_52069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49686]) ).
tcf(c_52137,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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48488]) ).
tcf(c_52138,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52137]) ).
tcf(c_52141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48488]) ).
tcf(c_52159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48489]) ).
tcf(c_52183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48493]) ).
tcf(c_52207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48494]) ).
tcf(c_52245,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48837]) ).
tcf(c_52267,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48925]) ).
tcf(c_52299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48835]) ).
tcf(c_52300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48835]) ).
tcf(c_52338,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48960]) ).
tcf(c_52339,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52338]) ).
tcf(c_52367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49580]) ).
tcf(c_52381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49616]) ).
tcf(c_52508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48842]) ).
tcf(c_52532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48855]) ).
tcf(c_52614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48929]) ).
tcf(c_52637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48930]) ).
tcf(c_52658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48931]) ).
tcf(c_52679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48933]) ).
tcf(c_52770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48961]) ).
tcf(c_52771,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52770]) ).
tcf(c_52774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48961]) ).
tcf(c_52789,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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48962]) ).
tcf(c_52793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48962]) ).
tcf(c_52919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49760]) ).
tcf(c_52937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49858]) ).
tcf(c_52938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49858]) ).
tcf(c_52977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48650]) ).
tcf(c_53009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48641]) ).
tcf(c_53049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ 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_48651]) ).
tcf(c_53094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(X2))),X3)
| ~ 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_49385]) ).
tcf(c_53154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_49814]) ).
tcf(c_53155,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53154]) ).
tcf(c_53212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49863]) ).
tcf(c_53213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_49863]) ).
tcf(c_53214,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_53213]) ).
tcf(c_53223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49881]) ).
tcf(c_53314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49951]) ).
tcf(c_53372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50238]) ).
tcf(c_53386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_49357]) ).
tcf(c_53434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49389]) ).
tcf(c_53462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50036]) ).
tcf(c_53693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50212]) ).
tcf(c_53696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50212]) ).
tcf(c_53705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_49355]) ).
tcf(c_53728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49356]) ).
tcf(c_53729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X4)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49356]) ).
tcf(c_53732,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(X4)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49356]) ).
tcf(c_53752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X4)
| ~ 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_49388]) ).
tcf(c_53777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X4)),s(s(X1)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49393]) ).
tcf(c_53780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49393]) ).
tcf(c_53791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50005]) ).
tcf(c_53792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50005]) ).
tcf(c_53805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50008]) ).
tcf(c_53806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50008]) ).
tcf(c_53830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50106]) ).
tcf(c_53918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50171]) ).
tcf(c_53927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50172]) ).
tcf(c_53954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50190]) ).
tcf(c_54001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),s(X4))
| ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(X4))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50216]) ).
tcf(c_54017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50242]) ).
tcf(c_54018,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_54017]) ).
tcf(c_54021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50242]) ).
tcf(c_54049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50259]) ).
tcf(c_54066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50260]) ).
tcf(c_54070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50260]) ).
tcf(c_54082,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_42014]) ).
tcf(c_54083,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_54082]) ).
tcf(c_54093,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_41997]) ).
tcf(c_54094,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_54093]) ).
tcf(c_54262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51099]) ).
tcf(c_54465,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50858]) ).
tcf(c_54486,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_51352]) ).
tcf(c_54487,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54486]) ).
tcf(c_54490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51352]) ).
tcf(c_54500,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51041]) ).
tcf(c_54905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52300]) ).
tcf(c_54983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51347]) ).
tcf(c_55003,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51423]) ).
tcf(c_55004,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55003]) ).
tcf(c_55016,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51426]) ).
tcf(c_55017,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55016]) ).
tcf(c_55234,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52069]) ).
tcf(c_55235,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55234]) ).
tcf(c_55413,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_43874]) ).
tcf(c_55414,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_55413]) ).
tcf(c_55420,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_43888]) ).
tcf(c_55421,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_55420]) ).
tcf(c_55575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52183]) ).
tcf(c_55593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52207]) ).
tcf(c_55617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52679]) ).
tcf(c_55700,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_52367]) ).
tcf(c_55701,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_55700]) ).
tcf(c_55735,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52381]) ).
tcf(c_55736,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_55735]) ).
tcf(c_55746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),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_53693]) ).
tcf(c_56020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52532]) ).
tcf(c_56121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52614]) ).
tcf(c_56147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52637]) ).
tcf(c_56172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52658]) ).
tcf(c_56361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52937]) ).
tcf(c_56433,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50774]) ).
tcf(c_56435,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56433]) ).
tcf(c_56459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_52977]) ).
tcf(c_56611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X3))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X3))),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53009]) ).
tcf(c_56642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53049]) ).
tcf(c_56661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_53094]) ).
tcf(c_56769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53212]) ).
tcf(c_56787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53223]) ).
tcf(c_56788,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_56787]) ).
tcf(c_56887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53372]) ).
tcf(c_56899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X3))),s(z))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53728]) ).
tcf(c_57062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X3)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54017]) ).
tcf(c_57087,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_48001]) ).
tcf(c_57089,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_57087]) ).
tcf(c_57121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53434]) ).
tcf(c_57122,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),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(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57121]) ).
tcf(c_57154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53462]) ).
tcf(c_57155,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_57154]) ).
tcf(c_57213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53696]) ).
tcf(c_57239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_54066]) ).
tcf(c_57255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X4))))
| ~ b(s(s(s(X4))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53732]) ).
tcf(c_57260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53732]) ).
tcf(c_57277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53752]) ).
tcf(c_57414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(X4),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X3)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53729]) ).
tcf(c_57415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53729]) ).
tcf(c_57441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53777]) ).
tcf(c_57456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(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_53780]) ).
tcf(c_57474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53791]) ).
tcf(c_57475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(s(X1)))
| ~ b(s(s(X3)),s(s(X4)))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X4)))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53791]) ).
tcf(c_57505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53805]) ).
tcf(c_57518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53806]) ).
tcf(c_57553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(s(X1))))),X4)
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53830]) ).
tcf(c_57630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ 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_53918]) ).
tcf(c_57652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ 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_53927]) ).
tcf(c_57664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ 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_53954]) ).
tcf(c_57698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),s(X4))
| ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(X4))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ 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_54001]) ).
tcf(c_57743,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(X4),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ 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_54021]) ).
tcf(c_57795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ 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_54070]) ).
tcf(c_58407,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(z))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_41128]) ).
tcf(c_58408,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_58407]) ).
tcf(c_58445,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_41123]) ).
tcf(c_58446,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_58445]) ).
tcf(c_58476,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_47796]) ).
tcf(c_58477,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_58476]) ).
tcf(c_58480,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_47263]) ).
tcf(c_58481,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_58480]) ).
tcf(c_58494,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_38075]) ).
tcf(c_58495,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_58494]) ).
tcf(c_58524,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_38622]) ).
tcf(c_58525,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_58524]) ).
tcf(c_58821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),s(X2))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53705]) ).
tcf(c_58822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(X2),s(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_53752]) ).
tcf(c_59080,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_38071]) ).
tcf(c_59081,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_59080]) ).
tcf(c_59176,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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54465]) ).
tcf(c_59177,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59176]) ).
tcf(c_59189,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54500]) ).
tcf(c_59190,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59189]) ).
tcf(c_59323,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = s(z) )
| ( s(z) != s(X1) )
| ( s(s(s(s(s(X0))))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_38230]) ).
tcf(c_59556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),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_54490]) ).
tcf(c_59647,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54983]) ).
tcf(c_59648,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59647]) ).
tcf(c_59748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54905]) ).
tcf(c_59753,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_47982]) ).
tcf(c_59754,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_59753]) ).
tcf(c_59810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55575]) ).
tcf(c_59822,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55593]) ).
tcf(c_59839,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_55617]) ).
tcf(c_59924,plain,
! [X0: $i,X1: $i] :
( ~ 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(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55746]) ).
tcf(c_60166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56121]) ).
tcf(c_60178,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(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56147]) ).
tcf(c_60280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56361]) ).
tcf(c_60374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_56887]) ).
tcf(c_60375,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60374]) ).
tcf(c_60600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ 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_56611]) ).
tcf(c_60601,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(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_60600]) ).
tcf(c_60685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(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_56642]) ).
tcf(c_60686,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(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_60685]) ).
tcf(c_60883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),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_56899]) ).
tcf(c_60917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(s(X2))),s(X4))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57255]) ).
tcf(c_61035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57062]) ).
tcf(c_61036,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61035]) ).
tcf(c_61154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_57474]) ).
tcf(c_61269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57630]) ).
tcf(c_61270,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61269]) ).
tcf(c_61302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57652]) ).
tcf(c_61303,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61302]) ).
tcf(c_61473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57664]) ).
tcf(c_61474,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61473]) ).
tcf(c_61717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57518]) ).
tcf(c_61730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57260]) ).
tcf(c_61731,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61730]) ).
tcf(c_61864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(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_57414]) ).
tcf(c_61881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ 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_57415]) ).
tcf(c_61882,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61881]) ).
tcf(c_61922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(s(X2)))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57441]) ).
tcf(c_61958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X3)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57456]) ).
tcf(c_61959,plain,
( ~ b(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(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61958]) ).
tcf(c_62033,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(X4),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ 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_57505]) ).
tcf(c_62793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57415]) ).
tcf(c_62794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(X3)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57260]) ).
tcf(c_62797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57062]) ).
tcf(c_62802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53792]) ).
tcf(c_62807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(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_53223]) ).
tcf(c_62809,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52381]) ).
tcf(c_62824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),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_49814]) ).
tcf(c_62828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48350]) ).
tcf(c_62829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48340]) ).
tcf(c_62832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),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_48338]) ).
tcf(c_62833,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),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_62832]) ).
tcf(c_62836,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62824]) ).
tcf(c_62838,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62809]) ).
tcf(c_62840,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62807]) ).
tcf(c_62841,plain,
( ~ 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_62797]) ).
tcf(c_62842,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62794]) ).
tcf(c_62843,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62793]) ).
tcf(c_62846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56611]) ).
tcf(c_62847,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62846]) ).
tcf(c_62914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ 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_57743]) ).
tcf(c_62915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ 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_57698]) ).
tcf(c_62919,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_62915]) ).
tcf(c_62920,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62914]) ).
tcf(c_62944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(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(s(s(X0))))),s(s(X2)))
| ~ 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_57213]) ).
tcf(c_62949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54049]) ).
tcf(c_62951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ 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_53372]) ).
tcf(c_62952,plain,
( ~ b(s(s(z)),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_62951]) ).
tcf(c_62965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56769]) ).
tcf(c_62967,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56361]) ).
tcf(c_62971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53314]) ).
tcf(c_62972,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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62971]) ).
tcf(c_62974,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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62967]) ).
tcf(c_62975,plain,
( ~ 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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62965]) ).
tcf(c_62980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(X1),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_57277]) ).
tcf(c_63560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53386]) ).
tcf(c_63561,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63560]) ).
tcf(c_64833,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51352]) ).
tcf(c_64834,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(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48932]) ).
tcf(c_64842,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64833]) ).
tcf(c_64855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48959]) ).
tcf(c_64858,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48975]) ).
tcf(c_64859,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48499]) ).
tcf(c_64860,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48498]) ).
tcf(c_64878,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43402]) ).
tcf(c_64886,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43195]) ).
tcf(c_64895,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64886]) ).
tcf(c_64904,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64860]) ).
tcf(c_64905,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64859]) ).
tcf(c_64906,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_64858]) ).
tcf(c_64908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48961]) ).
tcf(c_64919,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_64908]) ).
tcf(c_64939,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48492]) ).
tcf(c_64940,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48443]) ).
tcf(c_64941,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48442]) ).
tcf(c_64942,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64941]) ).
tcf(c_64943,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64940]) ).
tcf(c_64944,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64939]) ).
tcf(c_66752,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(z) )
| ( s(z) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_59323]) ).
tcf(c_66753,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_42141]) ).
tcf(c_66754,plain,
( ( s(s(s(s(s(z))))) = s(z) )
| ( s(z) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_66752]) ).
tcf(c_66755,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_66753]) ).
tcf(c_67698,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52058]) ).
tcf(c_68151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X0)))))
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56172]) ).
tcf(c_68152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X0)))))
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56147]) ).
tcf(c_68153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),X3)
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56121]) ).
tcf(c_68154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),X3)
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_56020]) ).
tcf(c_68161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54905]) ).
tcf(c_68169,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54500]) ).
tcf(c_68170,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(X0)))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54465]) ).
tcf(c_68171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54262]) ).
tcf(c_68173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X0)))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51426]) ).
tcf(c_68174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51423]) ).
tcf(c_68184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_47829]) ).
tcf(c_68201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45965]) ).
tcf(c_68202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45938]) ).
tcf(c_68203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45902]) ).
tcf(c_68204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45884]) ).
tcf(c_68214,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68204]) ).
tcf(c_68215,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68203]) ).
tcf(c_68216,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68202]) ).
tcf(c_68217,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68201]) ).
tcf(c_68222,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68184]) ).
tcf(c_68224,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68174]) ).
tcf(c_68225,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68173]) ).
tcf(c_68226,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68171]) ).
tcf(c_68227,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68170]) ).
tcf(c_68228,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68169]) ).
tcf(c_70314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43617]) ).
tcf(c_70315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43616]) ).
tcf(c_70353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43403]) ).
tcf(c_70375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(X3)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43869]) ).
tcf(c_73018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),s(X2))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58821]) ).
tcf(c_73034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58822]) ).
tcf(c_73575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X3))),s(z))
| ~ b(s(s(s(s(X2)))),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(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_61154]) ).
tcf(c_74275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60917]) ).
tcf(c_74276,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74275]) ).
tcf(c_74460,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(s(X2)),s(s(s(s(z)))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(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_61922]) ).
tcf(c_75202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_60883]) ).
tcf(c_75205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53752]) ).
tcf(c_75210,plain,
( ~ 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_75202]) ).
tcf(c_75326,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45457]) ).
tcf(c_75327,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_75326]) ).
tcf(c_75346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49356]) ).
tcf(c_75350,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_75346]) ).
tcf(c_75358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_56661]) ).
tcf(c_75359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_49393]) ).
tcf(c_75360,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_75359]) ).
tcf(c_75361,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_75358]) ).
tcf(c_75734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62033]) ).
tcf(c_75738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57698]) ).
tcf(c_75746,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(s(s(s(X1)))),s(X2))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57795]) ).
tcf(c_75747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57239]) ).
tcf(c_75750,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(X1))))
| ~ 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(X1)))) ),
inference(instantiation,[status(thm)],[c_56459]) ).
tcf(c_75751,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75750]) ).
tcf(c_75765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_57553]) ).
tcf(c_76641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45456]) ).
tcf(c_76643,plain,
! [X0: $i,X1: $i] :
( ~ b(z,X1)
| ~ b(z,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48179]) ).
tcf(c_76648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48104]) ).
tcf(c_76649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48097]) ).
tcf(c_76653,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76649]) ).
tcf(c_76665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45673]) ).
tcf(c_76669,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(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_76665]) ).
tcf(c_76673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ 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_52919]) ).
tcf(c_76674,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_76673]) ).
tcf(c_76680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48110]) ).
tcf(c_76684,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76680]) ).
tcf(c_77115,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ 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_59556]) ).
tcf(c_77175,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77115]) ).
tcf(c_77197,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67698]) ).
tcf(c_77204,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77197]) ).
tcf(c_78023,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59810]) ).
tcf(c_78024,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_78023]) ).
tcf(c_78524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60178]) ).
tcf(c_78525,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_78524]) ).
tcf(c_78703,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64878]) ).
tcf(c_78704,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_78703]) ).
tcf(c_79778,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50613]) ).
tcf(c_79779,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_79778]) ).
tcf(c_79912,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_64834]) ).
tcf(c_79913,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_79912]) ).
tcf(c_79961,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_64855]) ).
tcf(c_79962,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_79961]) ).
tcf(c_80056,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_21901,c_59]) ).
tcf(c_80057,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_80056]) ).
tcf(c_80879,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48465]) ).
tcf(c_80880,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_80882,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),X1)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48430]) ).
tcf(c_80883,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_80882]) ).
tcf(c_80884,plain,
( ~ r(z,s(z))
| ~ 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_80880]) ).
tcf(c_80885,plain,
( ~ r(z,s(s(z)))
| ~ 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_80879]) ).
tcf(c_80887,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48428]) ).
tcf(c_80901,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_80887]) ).
tcf(c_80916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43623]) ).
tcf(c_80917,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43627]) ).
tcf(c_80918,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80917]) ).
tcf(c_80919,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80916]) ).
tcf(c_80921,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48976]) ).
tcf(c_80938,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42883]) ).
tcf(c_80945,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42884]) ).
tcf(c_80946,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80945]) ).
tcf(c_80950,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80938]) ).
tcf(c_80952,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),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_80921]) ).
tcf(c_80953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52793]) ).
tcf(c_80954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52774]) ).
tcf(c_80960,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80954]) ).
tcf(c_80961,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80953]) ).
tcf(c_80978,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59748]) ).
tcf(c_80980,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ 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_59822]) ).
tcf(c_80981,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80980]) ).
tcf(c_80982,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80978]) ).
tcf(c_80983,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_60166]) ).
tcf(c_80984,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80983]) ).
tcf(c_81608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43618]) ).
tcf(c_81617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43408]) ).
tcf(c_81620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43404]) ).
tcf(c_81621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43789]) ).
tcf(c_82030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39393]) ).
tcf(c_82031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39397]) ).
tcf(c_82032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39396]) ).
tcf(c_82033,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82032]) ).
tcf(c_82034,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82031]) ).
tcf(c_82035,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82030]) ).
tcf(c_82039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41623]) ).
tcf(c_82044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_40012]) ).
tcf(c_82047,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39256]) ).
tcf(c_82051,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82047]) ).
tcf(c_82052,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82044]) ).
tcf(c_82053,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82039]) ).
tcf(c_82102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48460]) ).
tcf(c_82106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_82108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48430]) ).
tcf(c_82109,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_82108]) ).
tcf(c_82110,plain,
( ~ r(z,s(z))
| ~ 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_82106]) ).
tcf(c_82112,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_82102]) ).
tcf(c_82157,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59822]) ).
tcf(c_82158,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82157]) ).
tcf(c_82162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60166]) ).
tcf(c_82163,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82162]) ).
tcf(c_82252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43849]) ).
tcf(c_82253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43839]) ).
tcf(c_82254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42587]) ).
tcf(c_82256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40892]) ).
tcf(c_82257,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82256]) ).
tcf(c_82258,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82254]) ).
tcf(c_82259,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82253]) ).
tcf(c_82260,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82252]) ).
tcf(c_82270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39986]) ).
tcf(c_82271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39392]) ).
tcf(c_82272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39395]) ).
tcf(c_82274,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82272]) ).
tcf(c_82275,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82271]) ).
tcf(c_82276,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_82270]) ).
tcf(c_82342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52159]) ).
tcf(c_82343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52141]) ).
tcf(c_82352,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82343]) ).
tcf(c_82353,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82342]) ).
tcf(c_82368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48492]) ).
tcf(c_82369,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48443]) ).
tcf(c_82370,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48442]) ).
tcf(c_82371,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82370]) ).
tcf(c_82372,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82369]) ).
tcf(c_82373,plain,
( ~ r(z,s(z))
| ~ 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_82368]) ).
tcf(c_82391,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59810]) ).
tcf(c_82392,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82391]) ).
tcf(c_82393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60178]) ).
tcf(c_82394,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82393]) ).
tcf(c_82443,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_38080]) ).
tcf(c_82444,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_82443]) ).
tcf(c_82558,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39401]) ).
tcf(c_82574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39833]) ).
tcf(c_82575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39832]) ).
tcf(c_82577,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39834]) ).
tcf(c_82594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48922]) ).
tcf(c_82595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48921]) ).
tcf(c_84241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41352]) ).
tcf(c_84247,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39400]) ).
tcf(c_84251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39403]) ).
tcf(c_84276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41353]) ).
tcf(c_84281,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39837]) ).
tcf(c_85703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_68151]) ).
tcf(c_85704,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85703]) ).
tcf(c_85779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_68154]) ).
tcf(c_85780,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85779]) ).
tcf(c_85861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_68161]) ).
tcf(c_85862,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85861]) ).
tcf(c_86107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_70314]) ).
tcf(c_86108,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_86107]) ).
tcf(c_86128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_70315]) ).
tcf(c_86129,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_86128]) ).
tcf(c_86524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_70375]) ).
tcf(c_86525,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_86524]) ).
tcf(c_86569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62828]) ).
tcf(c_86937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62944]) ).
tcf(c_86938,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ 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_86937]) ).
tcf(c_87311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62829]) ).
tcf(c_87312,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87311]) ).
tcf(c_88086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62949]) ).
tcf(c_88087,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ 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_88086]) ).
tcf(c_88631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_73018]) ).
tcf(c_88632,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(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_88631]) ).
tcf(c_88654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_73034]) ).
tcf(c_88655,plain,
( ~ b(s(z),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_88654]) ).
tcf(c_88809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_73575]) ).
tcf(c_89182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ 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_74460]) ).
tcf(c_89183,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89182]) ).
tcf(c_89400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62802]) ).
tcf(c_89401,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89400]) ).
tcf(c_89446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(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_62914]) ).
tcf(c_91232,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_86569]) ).
tcf(c_91233,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(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(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91232]) ).
tcf(c_92791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51814]) ).
tcf(c_92792,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92791]) ).
tcf(c_93812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_70353]) ).
tcf(c_93831,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93812]) ).
tcf(c_93854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),X2)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_68153]) ).
tcf(c_93855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_68152]) ).
tcf(c_93861,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))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93855]) ).
tcf(c_93862,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93854]) ).
tcf(c_93896,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_93897,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_93896]) ).
tcf(c_95234,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_84251]) ).
tcf(c_95235,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95234]) ).
tcf(c_95262,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_84281]) ).
tcf(c_95263,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_95262]) ).
tcf(c_96360,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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82558]) ).
tcf(c_96361,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96360]) ).
tcf(c_96435,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_82577]) ).
tcf(c_96436,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96435]) ).
tcf(c_96472,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_84241]) ).
tcf(c_96473,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96472]) ).
tcf(c_96527,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_84247]) ).
tcf(c_96528,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96527]) ).
tcf(c_96622,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_84276]) ).
tcf(c_96623,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96622]) ).
tcf(c_97069,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_35575,c_59]) ).
tcf(c_97070,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_97069]) ).
tcf(c_97090,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_35575,c_56]) ).
tcf(c_97964,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_97090,c_59]) ).
tcf(c_98571,plain,
( r(s(s(s(z))),s(s(z)))
| b(s(s(s(z))),s(s(z))) ),
inference(global_subsumption_just,[status(thm)],[c_97964,c_65,c_259,c_97070]) ).
tcf(c_98572,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(renaming,[status(thm)],[c_98571]) ).
tcf(c_99535,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ 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_82574]) ).
tcf(c_99536,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_99535]) ).
tcf(c_99565,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ 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_82575]) ).
tcf(c_99566,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_99565]) ).
tcf(c_99591,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82594]) ).
tcf(c_99592,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_99591]) ).
tcf(c_99616,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82595]) ).
tcf(c_99617,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_99616]) ).
tcf(c_101204,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ 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_81621]) ).
tcf(c_101205,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_101204]) ).
tcf(c_103114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_81608]) ).
tcf(c_103115,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103114]) ).
tcf(c_103336,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_81617]) ).
tcf(c_103337,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103336]) ).
tcf(c_103405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81620]) ).
tcf(c_103406,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103405]) ).
tcf(c_103993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_82252]) ).
tcf(c_103994,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103993]) ).
tcf(c_104023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_82253]) ).
tcf(c_104024,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104023]) ).
tcf(c_105363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(s(X2))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_88809]) ).
tcf(c_105364,plain,
( ~ 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(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105363]) ).
tcf(c_105681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75747]) ).
tcf(c_105682,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(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_105681]) ).
tcf(c_106058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_89446]) ).
tcf(c_106059,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_106058]) ).
tcf(c_106613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75205]) ).
tcf(c_106614,plain,
( ~ b(s(s(z)),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(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106613]) ).
tcf(c_106844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_75734]) ).
tcf(c_106845,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_106844]) ).
tcf(c_106884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_75738]) ).
tcf(c_106885,plain,
( ~ 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_106884]) ).
tcf(c_106930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ 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_75746]) ).
tcf(c_106931,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(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_106930]) ).
tcf(c_106941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(s(X2))))),X3)
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_75765]) ).
tcf(c_106942,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_106941]) ).
tcf(c_107333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38371]) ).
tcf(c_107531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X0)),z)
| ~ 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_38371]) ).
tcf(c_107684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_54017]) ).
tcf(c_107685,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_107684]) ).
tcf(c_107699,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_54066]) ).
tcf(c_107714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45692]) ).
tcf(c_107715,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107714]) ).
tcf(c_107724,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_50154]) ).
tcf(c_107730,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107724]) ).
tcf(c_107759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_57475]) ).
tcf(c_107762,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_107759]) ).
tcf(c_107892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38901]) ).
tcf(c_108084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ 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(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_57441]) ).
tcf(c_108089,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108084]) ).
tcf(c_108093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X2)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(z))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45688]) ).
tcf(c_108097,plain,
( ~ 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(z))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108093]) ).
tcf(c_108132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53777]) ).
tcf(c_108133,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(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_108132]) ).
tcf(c_108137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53729]) ).
tcf(c_108138,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_108137]) ).
tcf(c_109115,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_76643]) ).
tcf(c_109116,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109115]) ).
tcf(c_109122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_76648]) ).
tcf(c_109124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_76641]) ).
tcf(c_109126,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_109124]) ).
tcf(c_109127,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(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(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109122]) ).
tcf(c_109240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_76649]) ).
tcf(c_109245,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109240]) ).
tcf(c_109560,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_64939]) ).
tcf(c_109561,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_51188]) ).
tcf(c_109562,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_51097]) ).
tcf(c_109563,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_109562]) ).
tcf(c_109564,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109561]) ).
tcf(c_109565,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109560]) ).
tcf(c_109781,plain,
! [X0: $i] :
( ~ r(z,s(X0))
| ~ 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_48492]) ).
tcf(c_109784,plain,
( ~ r(z,s(z))
| ~ 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_109781]) ).
tcf(c_109869,plain,
! [X0: $i] :
( ~ r(X0,s(z))
| ~ r(X0,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39910]) ).
tcf(c_109870,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109869]) ).
tcf(c_109874,plain,
! [X0: $i] :
( ~ r(s(z),X0)
| ~ r(X0,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39919]) ).
tcf(c_109875,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109874]) ).
tcf(c_111115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61864]) ).
tcf(c_111116,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(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_111115]) ).
tcf(c_111698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_38310]) ).
tcf(c_111809,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(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_59924]) ).
tcf(c_111810,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_111809]) ).
tcf(c_111994,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51037]) ).
tcf(c_111995,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_111994]) ).
tcf(c_112295,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_107699]) ).
tcf(c_112296,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_112295]) ).
tcf(c_112361,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ 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_38718]) ).
tcf(c_112362,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_112361]) ).
tcf(c_112497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40004]) ).
tcf(c_112812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48462]) ).
tcf(c_112813,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_112812]) ).
tcf(c_112816,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48466]) ).
tcf(c_112817,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_112816]) ).
tcf(c_112896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48923]) ).
tcf(c_112897,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_112896]) ).
tcf(c_113277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38343]) ).
tcf(c_113278,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_113277]) ).
tcf(c_113827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(X2)),z)
| ~ b(s(X0),s(s(X2)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_107333]) ).
tcf(c_113828,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_113827]) ).
tcf(c_114874,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48923]) ).
tcf(c_114875,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_48834]) ).
tcf(c_114876,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_114875]) ).
tcf(c_114877,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_114874]) ).
tcf(c_115036,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(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_52245]) ).
tcf(c_115037,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_115036]) ).
tcf(c_116120,plain,
! [X0: $i] :
( ~ r(s(z),X0)
| ~ 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_38703]) ).
tcf(c_116134,plain,
! [X0: $i] :
( ~ r(s(s(z)),X0)
| ~ 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_39066]) ).
tcf(c_116135,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_116134]) ).
tcf(c_116137,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_116120]) ).
tcf(c_116563,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_59839]) ).
tcf(c_116564,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_116563]) ).
tcf(c_116734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39253]) ).
tcf(c_116735,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_116734]) ).
tcf(c_119451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X0))
| ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(X0))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_107531]) ).
tcf(c_119452,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_119451]) ).
tcf(c_119674,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52789]) ).
tcf(c_119675,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_119674]) ).
tcf(c_119946,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52267]) ).
tcf(c_119949,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_119946]) ).
tcf(c_120103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_51414]) ).
tcf(c_120104,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_120103]) ).
tcf(c_120107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38588]) ).
tcf(c_120112,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_120107]) ).
tcf(c_120177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52508]) ).
tcf(c_120178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52299]) ).
tcf(c_120182,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_120178]) ).
tcf(c_120183,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_120177]) ).
tcf(c_123747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_61302]) ).
tcf(c_123748,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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_123747]) ).
tcf(c_123771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ 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_61717]) ).
tcf(c_123772,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_123771]) ).
tcf(c_123794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ 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_62980]) ).
tcf(c_123795,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_123794]) ).
tcf(c_125774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(s(z))))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40006]) ).
tcf(c_125775,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_125774]) ).
tcf(c_125850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40022]) ).
tcf(c_125851,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_125850]) ).
tcf(c_125852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40022]) ).
tcf(c_125853,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_125852]) ).
tcf(c_126035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X2))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42576]) ).
tcf(c_126036,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_126035]) ).
tcf(c_126627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_107892]) ).
tcf(c_126628,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_126627]) ).
tcf(c_126668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(X2)),s(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_45985]) ).
tcf(c_126669,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_126668]) ).
tcf(c_127223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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(z))) ),
inference(instantiation,[status(thm)],[c_49858]) ).
tcf(c_127224,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(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_127223]) ).
tcf(c_127654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_52938]) ).
tcf(c_127655,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_127654]) ).
tcf(c_127963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60280]) ).
tcf(c_127964,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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_127963]) ).
tcf(c_132098,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ 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_109561]) ).
tcf(c_132099,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_132098]) ).
tcf(c_133782,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_112295]) ).
tcf(c_133783,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_133782]) ).
tcf(c_135210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_111698]) ).
tcf(c_135211,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_135210]) ).
tcf(c_135300,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_112497]) ).
tcf(c_135301,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_135300]) ).
tcf(c_135317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_112497]) ).
tcf(c_135318,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_135317]) ).
tcf(c_135504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_112812]) ).
tcf(c_135505,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_135504]) ).
tcf(c_135531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_112896]) ).
tcf(c_135532,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_135531]) ).
tcf(c_141385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_141397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_141409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_141385]) ).
tcf(c_141428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(s(X0))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_141435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_141436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141385]) ).
tcf(c_141515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_141397]) ).
tcf(c_141517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141409]) ).
tcf(c_141518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141409]) ).
tcf(c_141521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141409]) ).
tcf(c_141527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_141568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_141435]) ).
tcf(c_141569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(z,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141435]) ).
tcf(c_141571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141435]) ).
tcf(c_141576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141436]) ).
tcf(c_141580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(s(X3),X2)
| ~ b(s(X0),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141517]) ).
tcf(c_141584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141515]) ).
tcf(c_141585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141515]) ).
tcf(c_141587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141515]) ).
tcf(c_141592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141518]) ).
tcf(c_141596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X1)))
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141521]) ).
tcf(c_141606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141428]) ).
tcf(c_141640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141518]) ).
tcf(c_141642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141436]) ).
tcf(c_141648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141521]) ).
tcf(c_141673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141527]) ).
tcf(c_141684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141585]) ).
tcf(c_141705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141569]) ).
tcf(c_141711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141571]) ).
tcf(c_141713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141568]) ).
tcf(c_141717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141568]) ).
tcf(c_141748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141584]) ).
tcf(c_141753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141587]) ).
tcf(c_141763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141576]) ).
tcf(c_141770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X0),s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141592]) ).
tcf(c_141779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141596]) ).
tcf(c_141827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141606]) ).
tcf(c_141886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(X0)))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_141527]) ).
tcf(c_141960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_141705]) ).
tcf(c_142002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141642]) ).
tcf(c_142017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141753]) ).
tcf(c_142023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141640]) ).
tcf(c_142032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(z),s(X2))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141648]) ).
tcf(c_142034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141648]) ).
tcf(c_142041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141711]) ).
tcf(c_142043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141711]) ).
tcf(c_142047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(s(X3),X2)
| ~ b(s(X3),X1)
| ~ b(s(z),s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_141713]) ).
tcf(c_142049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141713]) ).
tcf(c_142052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141717]) ).
tcf(c_142053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X3))
| ~ b(s(X3),X1)
| ~ b(s(X3),s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_141717]) ).
tcf(c_142055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141717]) ).
tcf(c_142062,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(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141763]) ).
tcf(c_142064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141763]) ).
tcf(c_142069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X4))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141770]) ).
tcf(c_142082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141673]) ).
tcf(c_142120,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141827]) ).
tcf(c_142198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141886]) ).
tcf(c_142201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141886]) ).
tcf(c_142328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_141960]) ).
tcf(c_142356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142032]) ).
tcf(c_142373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_142047]) ).
tcf(c_142385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142002]) ).
tcf(c_142390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142002]) ).
tcf(c_142402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_142053]) ).
tcf(c_142406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142062]) ).
tcf(c_142424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142017]) ).
tcf(c_142433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142023]) ).
tcf(c_142438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142034]) ).
tcf(c_142453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(z))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142049]) ).
tcf(c_142455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X0),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(X2))
| ~ b(s(X0),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142049]) ).
tcf(c_142471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142055]) ).
tcf(c_142475,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(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142064]) ).
tcf(c_142477,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(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142064]) ).
tcf(c_142480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(X1))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142069]) ).
tcf(c_142481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(z))
| ~ b(s(X2),s(X3))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142069]) ).
tcf(c_142483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X2),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142069]) ).
tcf(c_142614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142198]) ).
tcf(c_142617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142201]) ).
tcf(c_142674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_142373]) ).
tcf(c_142679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142385]) ).
tcf(c_142682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142385]) ).
tcf(c_142751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142453]) ).
tcf(c_142755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142481]) ).
tcf(c_142764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142390]) ).
tcf(c_142767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(s(X1)))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142390]) ).
tcf(c_142776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142433]) ).
tcf(c_142803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(X2))
| ~ b(s(X0),s(X4))
| ~ b(s(X0),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142455]) ).
tcf(c_142818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(X0))
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X0))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142471]) ).
tcf(c_142828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142480]) ).
tcf(c_142832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ 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_142480]) ).
tcf(c_142864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142198]) ).
tcf(c_142871,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_141827]) ).
tcf(c_142872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_141673]) ).
tcf(c_142874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142201]) ).
tcf(c_142889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),s(X1))
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142328]) ).
tcf(c_142894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_141684]) ).
tcf(c_142922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(s(X3),X2)
| ~ b(s(X0),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141580]) ).
tcf(c_142924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142041]) ).
tcf(c_142931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X1)
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X2)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142373]) ).
tcf(c_143018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142198]) ).
tcf(c_143026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_141673]) ).
tcf(c_143062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141827]) ).
tcf(c_143063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141673]) ).
tcf(c_143065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142201]) ).
tcf(c_143138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_141748]) ).
tcf(c_143175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141779]) ).
tcf(c_143230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142402]) ).
tcf(c_143231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142043]) ).
tcf(c_143237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X0),X3)
| ~ b(s(X4),s(X2))
| ~ b(s(X0),s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142455]) ).
tcf(c_143238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(s(X4),X2)
| ~ b(s(X4),s(X0))
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142055]) ).
tcf(c_143254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X3)),X1)
| ~ b(s(z),s(s(X3)))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142373]) ).
tcf(c_143255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142052]) ).
tcf(c_143256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_141648]) ).
tcf(c_143511,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142674]) ).
tcf(c_143648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142751]) ).
tcf(c_143673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142679]) ).
tcf(c_143676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X4)),s(X1))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142679]) ).
tcf(c_143697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142764]) ).
tcf(c_143708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ 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_142776]) ).
tcf(c_143740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_142803]) ).
tcf(c_143741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142803]) ).
tcf(c_143767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(X3),s(X4))
| ~ b(s(X3),s(X2))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142818]) ).
tcf(c_143836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142872]) ).
tcf(c_143844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(s(s(X2)),X3)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143063]) ).
tcf(c_143874,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(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142874]) ).
tcf(c_143914,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_143511]) ).
tcf(c_144012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143018]) ).
tcf(c_144121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142889]) ).
tcf(c_144190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(X2),s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142924]) ).
tcf(c_144277,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(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143065]) ).
tcf(c_144278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143065]) ).
tcf(c_144314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142931]) ).
tcf(c_144750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143741]) ).
tcf(c_144821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143648]) ).
tcf(c_145000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143673]) ).
tcf(c_145047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143740]) ).
tcf(c_145090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143018]) ).
tcf(c_145092,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142864]) ).
tcf(c_145093,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142614]) ).
tcf(c_145111,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142082]) ).
tcf(c_145116,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142617]) ).
tcf(c_145164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_143026]) ).
tcf(c_145214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_143836]) ).
tcf(c_145223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143874]) ).
tcf(c_145412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143844]) ).
tcf(c_145413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ 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_143844]) ).
tcf(c_145487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_144012]) ).
tcf(c_145527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_144190]) ).
tcf(c_145582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_144278]) ).
tcf(c_145712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_144750]) ).
tcf(c_146056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145090]) ).
tcf(c_146069,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145111]) ).
tcf(c_146076,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145116]) ).
tcf(c_146100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145223]) ).
tcf(c_146279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145582]) ).
tcf(c_146391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145413]) ).
tcf(c_146411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145487]) ).
tcf(c_146462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_145527]) ).
tcf(c_146853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_142477]) ).
tcf(c_146914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X2)
| ~ b(z,s(s(s(z))))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_143138]) ).
tcf(c_146935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ 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_143697]) ).
tcf(c_146982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(s(s(z))))
| ~ b(s(X3),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_143231]) ).
tcf(c_147014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ 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_142832]) ).
tcf(c_147021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_143708]) ).
tcf(c_147119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_143676]) ).
tcf(c_147120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),X1)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_143256]) ).
tcf(c_147210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_145712]) ).
tcf(c_147211,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_147210]) ).
tcf(c_147269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(s(X1),s(s(X0)))
| ~ b(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142682]) ).
tcf(c_147402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(X0)))
| ~ b(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_142767]) ).
tcf(c_147562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(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_143767]) ).
tcf(c_147571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(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_142767]) ).
tcf(c_147572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142682]) ).
tcf(c_147573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),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_142828]) ).
tcf(c_147585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142475]) ).
tcf(c_147586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X3))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142406]) ).
tcf(c_147587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142356]) ).
tcf(c_147588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),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_142424]) ).
tcf(c_147660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X2,s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143255]) ).
tcf(c_147707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143175]) ).
tcf(c_147733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_144821]) ).
tcf(c_147737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X4)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),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_145000]) ).
tcf(c_147778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142767]) ).
tcf(c_147785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X2),s(X4))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142483]) ).
tcf(c_147854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(s(X0))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_143238]) ).
tcf(c_147909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_143237]) ).
tcf(c_147944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_145000]) ).
tcf(c_148177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_146056]) ).
tcf(c_148487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_146391]) ).
tcf(c_149821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ 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(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_146853]) ).
tcf(c_149975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_146935]) ).
tcf(c_149976,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(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_149975]) ).
tcf(c_150046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(s(z))))
| ~ 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(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_146982]) ).
tcf(c_150300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_147119]) ).
tcf(c_150315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_147120]) ).
tcf(c_151233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_147014]) ).
tcf(c_151294,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(s(s(s(X0)))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_147021]) ).
tcf(c_151568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(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_147562]) ).
tcf(c_151718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(X4))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_147572]) ).
tcf(c_152170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(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_147778]) ).
tcf(c_152183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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_147785]) ).
tcf(c_152356,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(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_147854]) ).
tcf(c_152403,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(X1)))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),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_147909]) ).
tcf(c_152529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_147944]) ).
tcf(c_152595,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145214]) ).
tcf(c_152599,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_152595]) ).
tcf(c_152604,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_142871]) ).
tcf(c_152606,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142120]) ).
tcf(c_152607,plain,
( ~ r(z,s(s(z)))
| ~ 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_152604]) ).
tcf(c_152622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_143062]) ).
tcf(c_152816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145164]) ).
tcf(c_152950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145413]) ).
tcf(c_153571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_149821]) ).
tcf(c_153958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),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_150300]) ).
tcf(c_154251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),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(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_151568]) ).
tcf(c_154815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_151233]) ).
tcf(c_154816,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_154815]) ).
tcf(c_154832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(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_151294]) ).
tcf(c_154833,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(z)))) ),
inference(instantiation,[status(thm)],[c_154832]) ).
tcf(c_155251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_151718]) ).
tcf(c_155748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_152170]) ).
tcf(c_156014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_152529]) ).
tcf(c_157610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(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(z))),s(s(s(s(X0)))))
| ~ 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_153958]) ).
tcf(c_157781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_154251]) ).
tcf(c_157971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155251]) ).
tcf(c_158059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155748]) ).
tcf(c_159040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(z)),s(s(X3)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_143676]) ).
tcf(c_159050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_147660]) ).
tcf(c_159129,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(z,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_146914]) ).
tcf(c_159130,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),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_159129]) ).
tcf(c_159134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_147707]) ).
tcf(c_159217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_147269]) ).
tcf(c_159329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(z)),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_143697]) ).
tcf(c_159337,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_142894]) ).
tcf(c_159338,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_159337]) ).
tcf(c_159397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_152403]) ).
tcf(c_159409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142755]) ).
tcf(c_159414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(z)),s(s(X3)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_145047]) ).
tcf(c_159498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(z))))
| ~ b(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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_150046]) ).
tcf(c_159505,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_159498]) ).
tcf(c_159592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_147402]) ).
tcf(c_159878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X4)
| ~ 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_143256]) ).
tcf(c_159988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_151718]) ).
tcf(c_160048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X4)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_147737]) ).
tcf(c_160116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142438]) ).
tcf(c_160346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_147571]) ).
tcf(c_161550,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146076]) ).
tcf(c_161551,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146069]) ).
tcf(c_161575,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161551]) ).
tcf(c_161576,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161550]) ).
tcf(c_161584,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146279]) ).
tcf(c_161586,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161584]) ).
tcf(c_161605,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ 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_152622]) ).
tcf(c_161607,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161605]) ).
tcf(c_161608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_152950]) ).
tcf(c_161720,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_148177]) ).
tcf(c_161730,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_146100]) ).
tcf(c_161742,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145412]) ).
tcf(c_161749,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_144277]) ).
tcf(c_161756,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161749]) ).
tcf(c_161757,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161742]) ).
tcf(c_161758,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161720]) ).
tcf(c_161760,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_148487]) ).
tcf(c_161763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_146411]) ).
tcf(c_161765,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_146279]) ).
tcf(c_161767,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161765]) ).
tcf(c_161768,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161760]) ).
tcf(c_161787,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_152622]) ).
tcf(c_161789,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161787]) ).
tcf(c_161793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_152816]) ).
tcf(c_161807,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_161793]) ).
tcf(c_164246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159040]) ).
tcf(c_164247,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_164246]) ).
tcf(c_164431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_159134]) ).
tcf(c_164952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,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(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159329]) ).
tcf(c_164953,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_164952]) ).
tcf(c_165079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(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_159397]) ).
tcf(c_165606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159878]) ).
tcf(c_166998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_159217]) ).
tcf(c_166999,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_166998]) ).
tcf(c_167190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159592]) ).
tcf(c_167191,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_167190]) ).
tcf(c_168541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_160048]) ).
tcf(c_168542,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_168541]) ).
tcf(c_168895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_160116]) ).
tcf(c_168896,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_168895]) ).
tcf(c_170289,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161760]) ).
tcf(c_170290,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170289]) ).
tcf(c_170880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161608]) ).
tcf(c_170881,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170880]) ).
tcf(c_171019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161763]) ).
tcf(c_171020,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_171019]) ).
tcf(c_181351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_142922]) ).
tcf(c_181356,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181351]) ).
tcf(c_181368,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142894]) ).
tcf(c_181369,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_181368]) ).
tcf(c_181407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_160346]) ).
tcf(c_181413,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181407]) ).
tcf(c_181449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_144121]) ).
tcf(c_181451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X3)),X1)
| ~ b(s(z),s(s(X3)))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_143254]) ).
tcf(c_181452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(z))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_143230]) ).
tcf(c_181457,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181452]) ).
tcf(c_181458,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181451]) ).
tcf(c_181459,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_181449]) ).
tcf(c_181507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147587]) ).
tcf(c_181508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147586]) ).
tcf(c_181509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147585]) ).
tcf(c_181512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147573]) ).
tcf(c_181513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147588]) ).
tcf(c_181515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_147733]) ).
tcf(c_181520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(z,s(s(s(X2))))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_144314]) ).
tcf(c_181522,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_143914]) ).
tcf(c_181526,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),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(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181522]) ).
tcf(c_181528,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181520]) ).
tcf(c_181530,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181515]) ).
tcf(c_181532,plain,
( ~ b(z,s(z))
| ~ 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_181513]) ).
tcf(c_181533,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181512]) ).
tcf(c_181535,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181509]) ).
tcf(c_181536,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181508]) ).
tcf(c_181537,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181507]) ).
tcf(c_181552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X2))),s(X0))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_146462]) ).
tcf(c_181561,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181552]) ).
tcf(c_181621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_165606]) ).
tcf(c_181632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_150315]) ).
tcf(c_181633,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181632]) ).
tcf(c_181635,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_181621]) ).
tcf(c_181664,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(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_159409]) ).
tcf(c_181679,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_181664]) ).
tcf(c_181881,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161793]) ).
tcf(c_181882,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_181881]) ).
tcf(c_181961,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_145092]) ).
tcf(c_181964,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145093]) ).
tcf(c_182350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X3))),s(X2))
| ~ b(s(s(s(X3))),s(X1))
| ~ 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(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_159414]) ).
tcf(c_182355,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182350]) ).
tcf(c_182791,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(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),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(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_157781]) ).
tcf(c_182836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_156014]) ).
tcf(c_182871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_152356]) ).
tcf(c_182897,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182871]) ).
tcf(c_182906,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(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182836]) ).
tcf(c_182911,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182791]) ).
tcf(c_183188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ 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(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_157971]) ).
tcf(c_183191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_157610]) ).
tcf(c_183197,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_183191]) ).
tcf(c_183198,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_183188]) ).
tcf(c_183632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164431]) ).
tcf(c_183653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_159988]) ).
tcf(c_183667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_159050]) ).
tcf(c_183759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_153571]) ).
tcf(c_183803,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(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_183759]) ).
tcf(c_183824,plain,
( ~ b(z,s(s(z)))
| ~ 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(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_183667]) ).
tcf(c_183826,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_183653]) ).
tcf(c_183837,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_183632]) ).
tcf(c_184075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_165079]) ).
tcf(c_184079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_158059]) ).
tcf(c_184080,plain,
( ~ b(z,s(s(s(z))))
| ~ 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(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184079]) ).
tcf(c_184082,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184075]) ).
tcf(c_184621,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_152606]) ).
tcf(c_184622,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_152604]) ).
tcf(c_184624,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_142120]) ).
tcf(c_184625,plain,
( ~ r(s(s(z)),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_184624]) ).
tcf(c_184626,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184622]) ).
tcf(c_184627,plain,
( ~ r(s(s(z)),z)
| ~ r(z,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_184621]) ).
tcf(c_184704,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(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_146076]) ).
tcf(c_184730,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184704]) ).
tcf(c_184888,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_161730]) ).
tcf(c_184890,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_184888]) ).
tcf(c_185002,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_161605]) ).
tcf(c_185003,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_185002]) ).
tcf(c_185469,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(z),X0)
| ~ b(s(X1),X0)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X0)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_142922]) ).
tcf(c_185474,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_185469]) ).
tcf(c_185486,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X0))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X0)) ),
inference(instantiation,[status(thm)],[c_142894]) ).
tcf(c_185487,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_185486]) ).
tcf(c_185610,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(X0))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X0),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146462]) ).
tcf(c_185617,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_185610]) ).
tcf(c_185972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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_152183]) ).
tcf(c_186000,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_185972]) ).
tcf(c_186015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_149821]) ).
tcf(c_186035,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_186015]) ).
tcf(c_186662,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181961]) ).
tcf(c_186663,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_186662]) ).
tcf(c_186669,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_181964]) ).
tcf(c_186670,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_186669]) ).
tcf(c_186699,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_186670,c_186663,c_186035,c_186000,c_185617,c_185487,c_185474,c_185003,c_184890,c_184730,c_184627,c_184626,c_184625,c_184082,c_184080,c_183837,c_183826,c_183824,c_183803,c_183198,c_183197,c_182911,c_182906,c_182897,c_182355,c_181882,c_181679,c_181635,c_181633,c_181561,c_181537,c_181536,c_181535,c_181533,c_181532,c_181530,c_181528,c_181526,c_181459,c_181458,c_181457,c_181413,c_181369,c_181356,c_171020,c_170881,c_170290,c_168896,c_168542,c_167191,c_166999,c_164953,c_164247,c_161807,c_161789,c_161768,c_161767,c_161758,c_161757,c_161756,c_161607,c_161586,c_161576,c_161575,c_159505,c_159338,c_159130,c_154833,c_154816,c_152607,c_152599,c_149976,c_147211,c_135532,c_135505,c_135318,c_135301,c_135211,c_133783,c_132099,c_127964,c_127655,c_127224,c_126669,c_126628,c_126036,c_125853,c_125851,c_125775,c_123795,c_123772,c_123748,c_120183,c_120182,c_120112,c_120104,c_119949,c_119675,c_119452,c_116735,c_116564,c_116137,c_116135,c_115037,c_114877,c_114876,c_113828,c_113278,c_112897,c_112817,c_112813,c_112362,c_112296,c_111995,c_111810,c_111116,c_109875,c_109870,c_109784,c_109565,c_109564,c_109563,c_109245,c_109127,c_109126,c_109116,c_108138,c_108133,c_108097,c_108089,c_107762,c_107730,c_107715,c_107685,c_106942,c_106931,c_106885,c_106845,c_106614,c_106059,c_105682,c_105364,c_104024,c_103994,c_103406,c_103337,c_103115,c_101205,c_99617,c_99592,c_99566,c_99536,c_98572,c_96623,c_96528,c_96473,c_96436,c_96361,c_95263,c_95235,c_93897,c_93862,c_93861,c_93831,c_92792,c_91233,c_89401,c_89183,c_88655,c_88632,c_88087,c_87312,c_86938,c_86525,c_86129,c_86108,c_85862,c_85780,c_85704,c_82444,c_82394,c_82392,c_82373,c_82372,c_82371,c_82353,c_82352,c_82276,c_82275,c_82274,c_82260,c_82259,c_82258,c_82257,c_82163,c_82158,c_82112,c_82110,c_82109,c_82053,c_82052,c_82051,c_82035,c_82034,c_82033,c_80984,c_80982,c_80981,c_80961,c_80960,c_80952,c_80950,c_80946,c_80919,c_80918,c_80901,c_80885,c_80884,c_80883,c_80057,c_79962,c_79913,c_79779,c_78704,c_78525,c_78024,c_77204,c_77175,c_76684,c_76674,c_76669,c_76653,c_75751,c_75361,c_75360,c_75350,c_75327,c_75210,c_74276,c_68228,c_68227,c_68226,c_68225,c_68224,c_68222,c_68217,c_68216,c_68215,c_68214,c_66755,c_66754,c_64944,c_64943,c_64942,c_64919,c_64906,c_64905,c_64904,c_64895,c_64842,c_63561,c_62975,c_62974,c_62972,c_62952,c_62920,c_62919,c_62847,c_62843,c_62842,c_62841,c_62840,c_62838,c_62836,c_62833,c_61959,c_61882,c_61731,c_61474,c_61303,c_61270,c_61036,c_60686,c_60601,c_60375,c_59754,c_59648,c_59190,c_59177,c_59081,c_58525,c_58495,c_58481,c_58477,c_58446,c_58408,c_57155,c_57122,c_57089,c_56788,c_56435,c_55736,c_55701,c_55421,c_55414,c_55235,c_55017,c_55004,c_54487,c_54094,c_54083,c_54018,c_53214,c_53155,c_52771,c_52339,c_52138,c_51344,c_51246,c_51098,c_51062,c_51038,c_50836,c_50777,c_49883,c_49618,c_48645,c_48471,c_48470,c_48469,c_48435,c_48422,c_48111,c_48098,c_47967,c_45454,c_44758,c_39918,c_39909,c_38926,c_35925,c_35897,c_35887,c_35017,c_34684,c_33983,c_33736,c_33733,c_33732,c_33730,c_33729,c_33639,c_33502,c_33500,c_33499,c_33496,c_33493,c_32015,c_32007,c_31985,c_31720,c_31418,c_31417,c_31416,c_31404,c_31403,c_31402,c_31401,c_31390,c_31383,c_31382,c_31381,c_30486,c_30484,c_30481,c_30206,c_30205,c_30194,c_30172,c_30171,c_29146,c_29060,c_29057,c_29056,c_28259,c_28192,c_28127,c_27949,c_27860,c_27673,c_27566,c_25183,c_25130,c_23131,c_23118,c_23117,c_23116,c_23115,c_23114,c_23096,c_23095,c_23085,c_23078,c_23077,c_23056,c_23055,c_23047,c_23039,c_23038,c_23032,c_23031,c_23022,c_23011,c_22966,c_22817,c_22792,c_21793,c_21440,c_21241,c_20859,c_20671,c_20645,c_20618,c_20341,c_18261,c_18149,c_18148,c_17154,c_17100,c_17090,c_17063,c_16608,c_16470,c_16464,c_14916,c_14251,c_12925,c_12819,c_12692,c_12690,c_12687,c_11301,c_11205,c_11148,c_11087,c_11003,c_8465,c_8339,c_8284,c_8184,c_8177,c_8092,c_7726,c_7603,c_7578,c_7535,c_6917,c_6832,c_6831,c_6830,c_6829,c_6826,c_6824,c_6649,c_6648,c_6647,c_6645,c_6453,c_6451,c_6422,c_6281,c_6089,c_6085,c_6014,c_5949,c_5810,c_5719,c_5680,c_5412,c_5405,c_5158,c_5139,c_4625,c_4491,c_4442,c_4427,c_4342,c_4331,c_4094,c_3557,c_3537,c_3516,c_3505,c_3154,c_3142,c_3139,c_3137,c_2463,c_2461,c_2460,c_2457,c_2456,c_2393,c_2370,c_2369,c_2368,c_2367,c_2366,c_2365,c_2364,c_2363,c_2069,c_1946,c_1931,c_1593,c_1585,c_1299,c_1267,c_826,c_701,c_665,c_540,c_516,c_403,c_400,c_376,c_373,c_356,c_259,c_218,c_170,c_150,c_144,c_108,c_101,c_93,c_81,c_79,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA142-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:59:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 59.16/15.82 % SZS status Started for theBenchmark.p
% 59.16/15.82 % SZS status Unsatisfiable for theBenchmark.p
% 59.16/15.82
% 59.16/15.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.16/15.82
% 59.16/15.82 % ------ iProver source info
% 59.16/15.82
% 59.16/15.82 % git: date: 2026-07-19 20:42:38 +0200
% 59.16/15.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.16/15.82 % git: non_committed_changes: false
% 59.16/15.82
% 59.16/15.82 % ------ Parsing...% successful
% 59.16/15.82
% 59.16/15.82
% 59.16/15.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.16/15.82
% 59.16/15.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 59.16/15.82
% 59.16/15.82 % ------ Preprocessing...%
% 59.16/15.82
% 59.16/15.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.16/15.82 % ------ Proving...
% 59.16/15.82 % ------ Problem Properties
% 59.16/15.82
% 59.16/15.82 %
% 59.16/15.82 % clauses 7
% 59.16/15.82 % conjectures 0
% 59.16/15.82 % EPR 5
% 59.16/15.82 % Horn 6
% 59.16/15.82 % unary 3
% 59.16/15.82 % binary 1
% 59.16/15.82 % lits 19
% 59.16/15.82 % lits eq 4
% 59.16/15.82 % fd_pure 0
% 59.16/15.82 % fd_pseudo 0
% 59.16/15.82 % fd_cond 0
% 59.16/15.82 % fd_pseudo_cond 2
% 59.16/15.82 % AC symbols 0
% 59.16/15.82
% 59.16/15.82 % ------ Input Options Time Limit: Unbounded
% 59.16/15.82
% 59.16/15.82
% 59.16/15.82 % ------
% 59.16/15.82 % Current options:
% 59.16/15.82 % ------
% 59.16/15.82
% 59.16/15.82
% 59.16/15.82 %
% 59.16/15.82
% 59.16/15.82 % ------ Proving...
% 59.16/15.82 %
% 59.16/15.82
% 59.16/15.82 % SZS status Unsatisfiable for theBenchmark.p
% 59.16/15.82
% 59.16/15.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.16/15.87
% 59.16/15.87
%------------------------------------------------------------------------------