%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA145-1 : 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 : n014.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 01:24:07 PM UTC 2026
% Result : Unsatisfiable 22.03s 9.77s
% Output : CNFRefutation 22.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 2438 ( 25 unt; 0 def)
% Number of atoms : 11688 ( 302 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 20554 (11304 ~;9250 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 6479 ( 0 sgn6479 !; 0 ?;6464 :)
% 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(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(X0,X4)
| ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(X0,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_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,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_107,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_202,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_203,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_204,plain,
( b(s(z),z)
| r(s(z),z)
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_205,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_207,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_208,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_209,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_210,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_214,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_206]) ).
tcf(c_215,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_214]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_217,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_232,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_233,plain,
s(z) = s(z),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( X1 != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_239,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_240,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_241,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_240]) ).
tcf(c_243,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_244,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_248,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_249,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_250,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_251,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_252,plain,
( b(z,s(z))
| r(z,s(z))
| ( z = s(z) ) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_253,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(X1) )
| ( s(X0) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_269,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_239]) ).
tcf(c_270,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_269]) ).
tcf(c_271,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_243]) ).
tcf(c_273,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_243]) ).
tcf(c_275,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_243]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_282,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_244]) ).
tcf(c_283,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_282]) ).
tcf(c_284,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_285,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_244]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(X1) != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_280]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(X1) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = s(s(X0)) )
| ( s(X1) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_360,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_244]) ).
tcf(c_361,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_380,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_275]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_385,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_243]) ).
tcf(c_386,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_387,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_388,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_392,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_217]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_394,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_217]) ).
tcf(c_395,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_217]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_403,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_402]) ).
tcf(c_445,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_284]) ).
tcf(c_449,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_243]) ).
tcf(c_450,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_451,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_217]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(X1)))
| r(X0,s(s(X1)))
| ( X0 = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_465,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_285]) ).
tcf(c_467,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_271]) ).
tcf(c_468,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_275]) ).
tcf(c_484,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_485,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] :
( ( s(z) = s(X0) )
| ( s(z) != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_294]) ).
tcf(c_540,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_541,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),X1)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_581,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_580]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_590,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_386]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| r(X2,X1)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_109,c_60]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_109,c_107]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_633,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_450]) ).
tcf(c_634,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_450]) ).
tcf(c_645,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_449]) ).
tcf(c_646,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_451]) ).
tcf(c_647,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_394]) ).
tcf(c_648,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_395]) ).
tcf(c_649,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_392]) ).
tcf(c_650,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_385]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_652,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_275]) ).
tcf(c_654,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_650]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_684,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_393]) ).
tcf(c_685,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_273]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_610,c_60]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_718,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_465]) ).
tcf(c_719,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_718]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(X1)) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_759,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_452]) ).
tcf(c_760,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i] :
( ( s(z) = s(s(X0)) )
| ( s(z) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_493]) ).
tcf(c_806,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_713]) ).
tcf(c_807,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_806]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_713]) ).
tcf(c_812,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(X1)) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_713]) ).
tcf(c_813,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_812]) ).
tcf(c_826,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_692,c_56]) ).
tcf(c_827,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_584]) ).
tcf(c_869,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_590]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_874,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_873]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_650]) ).
tcf(c_903,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_633]) ).
tcf(c_948,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_645]) ).
tcf(c_958,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(X1)) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_959,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_958]) ).
tcf(c_967,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_634]) ).
tcf(c_968,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_634]) ).
tcf(c_973,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_652]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_979,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_980,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i] :
( ( s(s(z)) = X1 )
| ( X1 != X0 )
| ( s(s(z)) != X0 ) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_1031,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_609,c_60]) ).
tcf(c_1032,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_609,c_692]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i] :
( ( s(s(z)) = X1 )
| ( X1 != s(X0) )
| ( s(s(z)) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_993]) ).
tcf(c_1087,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_1088,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_465]) ).
tcf(c_1089,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_1088]) ).
tcf(c_1090,plain,
( ( s(s(s(s(z)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_1087]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),z)
| ~ b(X2,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_484]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i] :
( ( s(s(X1)) = s(s(s(X0))) )
| ( s(s(X1)) != s(s(X1)) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_1255,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_898]) ).
tcf(c_1264,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_903]) ).
tcf(c_1270,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_948]) ).
tcf(c_1273,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_968]) ).
tcf(c_1277,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_973]) ).
tcf(c_1281,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_968]) ).
tcf(c_1284,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_1281]) ).
tcf(c_1294,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_903]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),X1)
| r(s(s(s(X0))),X1)
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_1314,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_1324,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_648]) ).
tcf(c_1327,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_467]) ).
tcf(c_1329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_1332,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_645]) ).
tcf(c_1338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_1341,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_646]) ).
tcf(c_1343,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_647]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_647]) ).
tcf(c_1348,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_649]) ).
tcf(c_1353,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_652]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_1357,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(X1)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_1359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_1390,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_1031,c_57]) ).
tcf(c_1395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1455,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_958]) ).
tcf(c_1456,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_869]) ).
tcf(c_1463,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_540]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ 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_468]) ).
tcf(c_1487,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_1486]) ).
tcf(c_1494,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_866]) ).
tcf(c_1495,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_1504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X0,X4)
| ~ b(X0,X3)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1551,plain,
! [X0: $i] :
( ( s(s(z)) = X0 )
| ( X0 != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1057]) ).
tcf(c_1552,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1551]) ).
tcf(c_1620,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_1621,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_1620]) ).
tcf(c_1706,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1324]) ).
tcf(c_1707,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1706]) ).
tcf(c_1718,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_1456]) ).
tcf(c_1724,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_1255]) ).
tcf(c_1729,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1255]) ).
tcf(c_1740,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(s(X1))) ),
inference(instantiation,[status(thm)],[c_1264]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1281]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(z)),X2)
| ~ r(s(s(z)),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1281]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1294]) ).
tcf(c_1758,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_1294]) ).
tcf(c_1764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1332]) ).
tcf(c_1770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1455]) ).
tcf(c_1775,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(X1))) ),
inference(instantiation,[status(thm)],[c_1486]) ).
tcf(c_1776,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1775]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),z)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1486]) ).
tcf(c_1783,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1338]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1341]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X0)))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1341]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1270]) ).
tcf(c_1841,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1840]) ).
tcf(c_1847,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_1273]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(z)))
| ~ r(s(s(z)),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1273]) ).
tcf(c_1860,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_1277]) ).
tcf(c_1869,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_1353]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_1187,c_826]) ).
tcf(c_1893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1395]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X0,X3)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_1439]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1359]) ).
tcf(c_1902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X2,X1)
| ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(z,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X1,s(X3))
| ~ b(s(z),s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1510]) ).
tcf(c_1918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1510]) ).
tcf(c_1922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1510]) ).
tcf(c_1964,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(X1))
| r(s(s(s(X0))),s(X1))
| ( s(s(s(X0))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_1989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,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_666]) ).
tcf(c_1990,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_1989]) ).
tcf(c_1992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_1996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_2004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X1,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_2009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_2010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(s(X3),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_2020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X1,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ 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_1277]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1356]) ).
tcf(c_2076,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_1270]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1327]) ).
tcf(c_2082,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ 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_1348]) ).
tcf(c_2083,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1324]) ).
tcf(c_2086,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_2083]) ).
tcf(c_2087,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2082]) ).
tcf(c_2089,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_2076]) ).
tcf(c_2090,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_2074]) ).
tcf(c_2187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_2188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_977]) ).
tcf(c_2189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1359]) ).
tcf(c_2190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1357]) ).
tcf(c_2207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1353]) ).
tcf(c_2208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1329]) ).
tcf(c_2209,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_1277]) ).
tcf(c_2210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1356]) ).
tcf(c_2211,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_1270]) ).
tcf(c_2212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1347]) ).
tcf(c_2213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1338]) ).
tcf(c_2217,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_1348]) ).
tcf(c_2405,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_1463]) ).
tcf(c_2406,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_2405]) ).
tcf(c_2408,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_759]) ).
tcf(c_2409,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_2408]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1718]) ).
tcf(c_2470,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_1758]) ).
tcf(c_2472,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_1758]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2075]) ).
tcf(c_2478,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_2477]) ).
tcf(c_2488,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_360]) ).
tcf(c_2489,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_2488]) ).
tcf(c_2529,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1789]) ).
tcf(c_2530,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2529]) ).
tcf(c_2532,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_1724]) ).
tcf(c_2533,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2532]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2210]) ).
tcf(c_2547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2212]) ).
tcf(c_2553,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_360]) ).
tcf(c_2554,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_2553]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1793]) ).
tcf(c_2577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1840]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1740]) ).
tcf(c_2604,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(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1740]) ).
tcf(c_2605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1750]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ 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_1770]) ).
tcf(c_2622,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_1775]) ).
tcf(c_2637,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_1869]) ).
tcf(c_2660,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_1032,c_57]) ).
tcf(c_2667,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_1746]) ).
tcf(c_2670,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_1746]) ).
tcf(c_2672,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_2673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_2674,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2673]) ).
tcf(c_2675,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_2676,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(z)))) ),
inference(instantiation,[status(thm)],[c_2675]) ).
tcf(c_2680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2076]) ).
tcf(c_2681,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2680]) ).
tcf(c_2682,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(s(z)))) ),
inference(instantiation,[status(thm)],[c_2076]) ).
tcf(c_2683,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_2682]) ).
tcf(c_2687,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_2207]) ).
tcf(c_2690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1755]) ).
tcf(c_2730,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2729]) ).
tcf(c_2731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1755]) ).
tcf(c_2742,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_2209]) ).
tcf(c_2744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2209]) ).
tcf(c_2745,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_2209]) ).
tcf(c_2751,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_2211]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(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_2211]) ).
tcf(c_2758,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2213]) ).
tcf(c_2771,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_1764]) ).
tcf(c_2780,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_1847]) ).
tcf(c_2781,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_1847]) ).
tcf(c_2783,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_1847]) ).
tcf(c_2798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2004]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1893]) ).
tcf(c_2818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(z),s(X2))
| ~ b(s(X0),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1893]) ).
tcf(c_2821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1893]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X1))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1893]) ).
tcf(c_2845,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_634]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_2847,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_451]) ).
tcf(c_2848,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_394]) ).
tcf(c_2849,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_2860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1273]) ).
tcf(c_2861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1281]) ).
tcf(c_2864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_973]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_468]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1341]) ).
tcf(c_2880,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_1332]) ).
tcf(c_2889,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_1455]) ).
tcf(c_2898,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(X1))
| r(s(s(s(s(X0)))),s(X1))
| ( s(s(s(s(X0)))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_1964]) ).
tcf(c_2899,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_2898]) ).
tcf(c_2910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2187]) ).
tcf(c_2912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2187]) ).
tcf(c_2918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2188]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X2,X1)
| ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2009]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2010]) ).
tcf(c_2958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X0,X3)
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(z,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_2969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,X1)
| ~ b(X1,s(X2))
| ~ b(s(X2),X3)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_2973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X2,X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),X4)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
tcf(c_2999,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_684]) ).
tcf(c_3000,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_685]) ).
tcf(c_3002,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(z)) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_3004,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_380]) ).
tcf(c_3005,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_269]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_3051,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3050]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,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_1294]) ).
tcf(c_3060,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_1294]) ).
tcf(c_3062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1294]) ).
tcf(c_3063,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_2211]) ).
tcf(c_3065,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_2211]) ).
tcf(c_3067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_3070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1908]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1916]) ).
tcf(c_3091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1909]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2020]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1992]) ).
tcf(c_3180,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_3179]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1996]) ).
tcf(c_3200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_3205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_3239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_3248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2012]) ).
tcf(c_3250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2012]) ).
tcf(c_3255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2012]) ).
tcf(c_3263,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(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2016]) ).
tcf(c_3275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X0))
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_968]) ).
tcf(c_3298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1456]) ).
tcf(c_3403,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_214]) ).
tcf(c_3404,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3403]) ).
tcf(c_3521,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_718]) ).
tcf(c_3522,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_3521]) ).
tcf(c_3585,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_2470]) ).
tcf(c_3588,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_2472]) ).
tcf(c_3599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2861]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2680]) ).
tcf(c_3622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2745]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2729]) ).
tcf(c_3628,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_2751]) ).
tcf(c_3633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2845]) ).
tcf(c_3638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_3641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2847]) ).
tcf(c_3645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2744]) ).
tcf(c_3649,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_3652,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_3653,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_3652]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_3655,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_3688,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_2604]) ).
tcf(c_3689,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3688]) ).
tcf(c_3705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(X0),s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2818]) ).
tcf(c_3723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2879]) ).
tcf(c_3774,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_2667]) ).
tcf(c_3776,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_2880]) ).
tcf(c_3782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_3784,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_3005]) ).
tcf(c_3798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_3799,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_2742]) ).
tcf(c_3803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3062]) ).
tcf(c_3805,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(X1)))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_3807,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_2780]) ).
tcf(c_3821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(z))
| ~ 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_2798]) ).
tcf(c_3842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2821]) ).
tcf(c_3844,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)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2821]) ).
tcf(c_3875,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_1755]) ).
tcf(c_3877,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_1785]) ).
tcf(c_3907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2825]) ).
tcf(c_3913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2912]) ).
tcf(c_3916,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(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2910]) ).
tcf(c_3999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2918]) ).
tcf(c_4000,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3999]) ).
tcf(c_4018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2866]) ).
tcf(c_4019,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_4018]) ).
tcf(c_4024,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2849]) ).
tcf(c_4025,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_4024]) ).
tcf(c_4027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3275]) ).
tcf(c_4028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3298]) ).
tcf(c_4029,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4028]) ).
tcf(c_4030,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_4027]) ).
tcf(c_4032,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_2846]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2754]) ).
tcf(c_4037,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_2621]) ).
tcf(c_4038,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_2532]) ).
tcf(c_4041,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_4038]) ).
tcf(c_4042,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_4037]) ).
tcf(c_4043,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_4036]) ).
tcf(c_4046,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_2217]) ).
tcf(c_4054,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_4046]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2214]) ).
tcf(c_4057,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_3050]) ).
tcf(c_4062,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_4057]) ).
tcf(c_4063,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_4055]) ).
tcf(c_4109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1718]) ).
tcf(c_4158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2866]) ).
tcf(c_4170,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(s(s(X1)))))
| r(s(s(X0)),s(s(s(s(X1)))))
| ( s(s(X0)) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_2488]) ).
tcf(c_4171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1718]) ).
tcf(c_4174,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_1294]) ).
tcf(c_4175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,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_645]) ).
tcf(c_4176,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_4174]) ).
tcf(c_4178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_4186,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_2488]) ).
tcf(c_4193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_4198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_4199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_4217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2751]) ).
tcf(c_4222,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_2212]) ).
tcf(c_4229,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_4222]) ).
tcf(c_4237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(s(s(s(X2))),X3)
| ~ r(s(s(s(X2))),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2861]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_4242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3063]) ).
tcf(c_4243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2667]) ).
tcf(c_4246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2860]) ).
tcf(c_4249,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_4243]) ).
tcf(c_4251,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4241]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ 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_1750]) ).
tcf(c_4270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_4271,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_4270]) ).
tcf(c_4272,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1779]) ).
tcf(c_4317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2969]) ).
tcf(c_4319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2969]) ).
tcf(c_4341,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(X1)))
| r(s(s(s(s(X0)))),s(s(X1)))
| ( s(s(s(s(X0)))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_2898]) ).
tcf(c_4342,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_4341]) ).
tcf(c_4420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_4422,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_4420]) ).
tcf(c_4471,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_4495,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( z != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3403]) ).
tcf(c_4496,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_4495]) ).
tcf(c_4525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1294]) ).
tcf(c_4530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_4550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_4551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(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_2680]) ).
tcf(c_4552,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_4551]) ).
tcf(c_4568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2751]) ).
tcf(c_4585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2861]) ).
tcf(c_4591,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_2667]) ).
tcf(c_4594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2860]) ).
tcf(c_4597,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4591]) ).
tcf(c_4684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3085]) ).
tcf(c_4708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(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_3158]) ).
tcf(c_4714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3179]) ).
tcf(c_4728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3187]) ).
tcf(c_4747,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(X2)),s(s(X1)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2978]) ).
tcf(c_4758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3070]) ).
tcf(c_4759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2933]) ).
tcf(c_4761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(X2,X1)
| ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2927]) ).
tcf(c_4773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X0,X3)
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2958]) ).
tcf(c_4777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(X3,s(X0))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2972]) ).
tcf(c_4800,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_1390,c_56]) ).
tcf(c_4810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2187]) ).
tcf(c_4820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
tcf(c_4824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
tcf(c_4843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_4847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_4914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2939]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_4934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
tcf(c_4948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X1),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_1905]) ).
tcf(c_4960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X2,X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),X4)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2973]) ).
tcf(c_4990,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_2729]) ).
tcf(c_4995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2848]) ).
tcf(c_5009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3239]) ).
tcf(c_5016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(s(X2)),s(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_3248]) ).
tcf(c_5026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3248]) ).
tcf(c_5031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_5034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_5055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(s(X3),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2012]) ).
tcf(c_5059,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(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2016]) ).
tcf(c_5096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3200]) ).
tcf(c_5097,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5096]) ).
tcf(c_5098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3200]) ).
tcf(c_5099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_3200]) ).
tcf(c_5100,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5099]) ).
tcf(c_5101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3200]) ).
tcf(c_5149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1898]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_3205]) ).
tcf(c_5176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3241]) ).
tcf(c_5182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,X2)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3241]) ).
tcf(c_5188,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(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3250]) ).
tcf(c_5199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X2)
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X4))
| ~ b(s(X3),s(X1))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3250]) ).
tcf(c_5204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X3)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3255]) ).
tcf(c_5215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X4,s(X3))
| ~ b(X1,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_3255]) ).
tcf(c_5221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3263]) ).
tcf(c_5222,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(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3263]) ).
tcf(c_5254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X1),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_5353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2190]) ).
tcf(c_5394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3004]) ).
tcf(c_5395,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2672]) ).
tcf(c_5396,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_383]) ).
tcf(c_5397,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5396]) ).
tcf(c_5404,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2758]) ).
tcf(c_5408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3000]) ).
tcf(c_5409,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2999]) ).
tcf(c_5451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3275]) ).
tcf(c_5477,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_4800,c_59]) ).
tcf(c_5494,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1729]) ).
tcf(c_5510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2866]) ).
tcf(c_5580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_5583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_5715,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_5716,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_5715]) ).
tcf(c_5763,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5494]) ).
tcf(c_5821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3585]) ).
tcf(c_5834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(s(s(s(X2))),X3)
| ~ r(s(s(s(X2))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4237]) ).
tcf(c_5835,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_5834]) ).
tcf(c_5836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4237]) ).
tcf(c_5849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4585]) ).
tcf(c_5901,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_3588]) ).
tcf(c_5916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(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_3626]) ).
tcf(c_5917,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_5916]) ).
tcf(c_5919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3626]) ).
tcf(c_5920,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_5919]) ).
tcf(c_5974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4032]) ).
tcf(c_5975,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_5974]) ).
tcf(c_5994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ 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_4109]) ).
tcf(c_5997,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_4171]) ).
tcf(c_5998,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_5997]) ).
tcf(c_6034,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_4990]) ).
tcf(c_6040,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_5394]) ).
tcf(c_6062,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5404]) ).
tcf(c_6069,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5409]) ).
tcf(c_6070,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_6069]) ).
tcf(c_6084,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_3599]) ).
tcf(c_6085,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_6084]) ).
tcf(c_6139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_6185,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_5254]) ).
tcf(c_6198,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_3622]) ).
tcf(c_6199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X2))),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_3622]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4158]) ).
tcf(c_6244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4174]) ).
tcf(c_6245,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_6244]) ).
tcf(c_6285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5408]) ).
tcf(c_6304,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_3641]) ).
tcf(c_6311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3628]) ).
tcf(c_6312,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6311]) ).
tcf(c_6320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4178]) ).
tcf(c_6350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3723]) ).
tcf(c_6358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3782]) ).
tcf(c_6367,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(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3784]) ).
tcf(c_6402,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(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3633]) ).
tcf(c_6426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3877]) ).
tcf(c_6451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4198]) ).
tcf(c_6466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3638]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4199]) ).
tcf(c_6563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(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_4217]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4241]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4728]) ).
tcf(c_6620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4995]) ).
tcf(c_6647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4243]) ).
tcf(c_6648,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6647]) ).
tcf(c_6748,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_3774]) ).
tcf(c_6749,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_3774]) ).
tcf(c_6750,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_6749]) ).
tcf(c_6757,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_3776]) ).
tcf(c_6770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4246]) ).
tcf(c_6774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(s(s(X3))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4246]) ).
tcf(c_6798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3798]) ).
tcf(c_6799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3798]) ).
tcf(c_6805,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(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3799]) ).
tcf(c_6813,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_3803]) ).
tcf(c_6814,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_6813]) ).
tcf(c_6822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(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_3805]) ).
tcf(c_6829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X3)))
| ~ 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_3807]) ).
tcf(c_6830,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_6829]) ).
tcf(c_6834,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3821]) ).
tcf(c_6887,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_4525]) ).
tcf(c_6888,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_6887]) ).
tcf(c_6907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3875]) ).
tcf(c_6938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4420]) ).
tcf(c_6941,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_4550]) ).
tcf(c_6958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4568]) ).
tcf(c_6997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4530]) ).
tcf(c_6998,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6997]) ).
tcf(c_7033,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_4591]) ).
tcf(c_7041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3844]) ).
tcf(c_7055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X1))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4594]) ).
tcf(c_7072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5510]) ).
tcf(c_7155,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4843]) ).
tcf(c_7188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3842]) ).
tcf(c_7193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3654]) ).
tcf(c_7195,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3655]) ).
tcf(c_7196,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_3649]) ).
tcf(c_7197,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_7196]) ).
tcf(c_7198,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7195]) ).
tcf(c_7228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3705]) ).
tcf(c_7274,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(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3844]) ).
tcf(c_7275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3091]) ).
tcf(c_7299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4934]) ).
tcf(c_7300,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_7299]) ).
tcf(c_7303,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(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4934]) ).
tcf(c_7307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4934]) ).
tcf(c_7308,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7307]) ).
tcf(c_7374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4759]) ).
tcf(c_7385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_3907]) ).
tcf(c_7399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3907]) ).
tcf(c_7505,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_1851]) ).
tcf(c_7511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2605]) ).
tcf(c_7534,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_1860]) ).
tcf(c_7535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1840]) ).
tcf(c_7536,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1783]) ).
tcf(c_7537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3065]) ).
tcf(c_7538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3060]) ).
tcf(c_7539,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(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2781]) ).
tcf(c_7542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2577]) ).
tcf(c_7544,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_7538]) ).
tcf(c_7547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2622]) ).
tcf(c_7548,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7547]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2690]) ).
tcf(c_7581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2771]) ).
tcf(c_7583,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7581]) ).
tcf(c_7604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2637]) ).
tcf(c_7606,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2556]) ).
tcf(c_7607,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7606]) ).
tcf(c_7626,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_2744]) ).
tcf(c_7627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2745]) ).
tcf(c_7633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4758]) ).
tcf(c_7637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_4761]) ).
tcf(c_7711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X2)))
| ~ b(s(X3),s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4777]) ).
tcf(c_7748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4773]) ).
tcf(c_7751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4773]) ).
tcf(c_7752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X0,s(X3))
| ~ b(X0,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4773]) ).
tcf(c_7790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_7791,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))))) ),
inference(instantiation,[status(thm)],[c_7790]) ).
tcf(c_7829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5149]) ).
tcf(c_7840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5182]) ).
tcf(c_7849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3913]) ).
tcf(c_7862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4916]) ).
tcf(c_7865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4916]) ).
tcf(c_7869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4916]) ).
tcf(c_7940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3916]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4948]) ).
tcf(c_8009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X0))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4684]) ).
tcf(c_8087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4708]) ).
tcf(c_8106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4714]) ).
tcf(c_8136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4820]) ).
tcf(c_8139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4820]) ).
tcf(c_8145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_8146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_8155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X1),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_8166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X0,z)
| ~ b(X0,X3)
| ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X1))),z)
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4960]) ).
tcf(c_8177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X2,X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),X4)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_4960]) ).
tcf(c_8188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4847]) ).
tcf(c_8190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),z)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4847]) ).
tcf(c_8265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5009]) ).
tcf(c_8283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5016]) ).
tcf(c_8300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4319]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5026]) ).
tcf(c_8347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5031]) ).
tcf(c_8386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_5099]) ).
tcf(c_8387,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8386]) ).
tcf(c_8406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5221]) ).
tcf(c_8429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4747]) ).
tcf(c_8432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4747]) ).
tcf(c_8614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1770]) ).
tcf(c_8629,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(s(X1)))))
| r(s(s(s(X0))),s(s(s(s(X1)))))
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_4170]) ).
tcf(c_8630,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_8629]) ).
tcf(c_8636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2783]) ).
tcf(c_8637,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(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2690]) ).
tcf(c_8638,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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2670]) ).
tcf(c_8674,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_2687]) ).
tcf(c_8699,plain,
! [X0: $i,X1: $i] :
( ( s(s(X1)) = s(s(s(s(X0)))) )
| ( s(s(X1)) != s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_8700,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(X1) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_809]) ).
tcf(c_8703,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_8699]) ).
tcf(c_8740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5580]) ).
tcf(c_8756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4810]) ).
tcf(c_8770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_8771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X1),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_8774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X0),X4)
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_8787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5055]) ).
tcf(c_8797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ 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_5059]) ).
tcf(c_8800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5059]) ).
tcf(c_8849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_5175]) ).
tcf(c_8874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(X4))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(X3)),s(X4))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_5215]) ).
tcf(c_8880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X1),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5098]) ).
tcf(c_8894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5098]) ).
tcf(c_8895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X0))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5101]) ).
tcf(c_8909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5101]) ).
tcf(c_8913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5176]) ).
tcf(c_8916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5176]) ).
tcf(c_8917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5176]) ).
tcf(c_8933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(X1))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5188]) ).
tcf(c_8953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5199]) ).
tcf(c_8992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ 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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5222]) ).
tcf(c_8994,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(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5222]) ).
tcf(c_9003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5583]) ).
tcf(c_9050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2541]) ).
tcf(c_9062,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_2547]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2208]) ).
tcf(c_9147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_9274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2889]) ).
tcf(c_9314,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(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2860]) ).
tcf(c_9344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X2))),z)
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3645]) ).
tcf(c_9346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_9426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3063]) ).
tcf(c_9427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3063]) ).
tcf(c_9435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_9436,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9435]) ).
tcf(c_9462,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(s(s(X1))) )
| ( s(X0) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_9463,plain,
( ( z = s(s(s(z))) )
| ( s(z) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_9462]) ).
tcf(c_9575,plain,
! [X0: $i] :
( ( z = s(s(s(X0))) )
| ( s(z) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_9714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4193]) ).
tcf(c_9740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4242]) ).
tcf(c_9744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4242]) ).
tcf(c_9845,plain,
! [X0: $i] :
( ( z = s(s(s(s(X0)))) )
| ( s(z) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_9575]) ).
tcf(c_9846,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_9845]) ).
tcf(c_9853,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_979]) ).
tcf(c_9854,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_9853]) ).
tcf(c_9860,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(s(X1))) )
| ( s(s(X0)) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_9462]) ).
tcf(c_9861,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_9860]) ).
tcf(c_9869,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( X1 != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_9914,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5763]) ).
tcf(c_9915,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9914]) ).
tcf(c_9938,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_6034]) ).
tcf(c_9952,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7626]) ).
tcf(c_9953,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9952]) ).
tcf(c_10001,plain,
! [X0: $i,X1: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(z) != s(X1) )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_780]) ).
tcf(c_10005,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = s(s(s(s(X0)))) )
| ( s(X1) != s(X1) )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_10006,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_10007,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_10006]) ).
tcf(c_10096,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6185]) ).
tcf(c_10097,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10096]) ).
tcf(c_10274,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_8700]) ).
tcf(c_10304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5821]) ).
tcf(c_10305,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10304]) ).
tcf(c_10306,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(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5821]) ).
tcf(c_10443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5901]) ).
tcf(c_10481,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_6040]) ).
tcf(c_10565,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(z),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7155]) ).
tcf(c_10572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5836]) ).
tcf(c_10581,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_6084]) ).
tcf(c_10590,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_6198]) ).
tcf(c_10599,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(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6199]) ).
tcf(c_10600,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10599]) ).
tcf(c_10601,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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6199]) ).
tcf(c_10655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7539]) ).
tcf(c_10665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5849]) ).
tcf(c_10666,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_10665]) ).
tcf(c_10722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7627]) ).
tcf(c_10725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9147]) ).
tcf(c_10726,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_10725]) ).
tcf(c_10727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9147]) ).
tcf(c_10729,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_9147]) ).
tcf(c_10808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6311]) ).
tcf(c_10828,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(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9740]) ).
tcf(c_10857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6139]) ).
tcf(c_10884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6350]) ).
tcf(c_10932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6244]) ).
tcf(c_10949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6358]) ).
tcf(c_10966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6367]) ).
tcf(c_11059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7505]) ).
tcf(c_11079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7511]) ).
tcf(c_11103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7537]) ).
tcf(c_11105,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(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7538]) ).
tcf(c_11122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7547]) ).
tcf(c_11130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7575]) ).
tcf(c_11160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6466]) ).
tcf(c_11193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7604]) ).
tcf(c_11202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7751]) ).
tcf(c_11239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8614]) ).
tcf(c_11240,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11239]) ).
tcf(c_11334,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_9274]) ).
tcf(c_11335,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_11334]) ).
tcf(c_11370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9344]) ).
tcf(c_11385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9714]) ).
tcf(c_11418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6620]) ).
tcf(c_11419,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_11418]) ).
tcf(c_11472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ 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_6426]) ).
tcf(c_11483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6451]) ).
tcf(c_11490,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6451]) ).
tcf(c_11548,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),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_6606]) ).
tcf(c_11614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6757]) ).
tcf(c_11623,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_6813]) ).
tcf(c_11677,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_6471]) ).
tcf(c_11689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(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_6822]) ).
tcf(c_11690,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_6822]) ).
tcf(c_11691,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_11690]) ).
tcf(c_11700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6938]) ).
tcf(c_11761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6958]) ).
tcf(c_11762,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11761]) ).
tcf(c_11791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),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_8136]) ).
tcf(c_11823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_8190]) ).
tcf(c_11824,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_11823]) ).
tcf(c_11842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6647]) ).
tcf(c_11858,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_5477,c_56,c_214,c_232,c_250,c_445]) ).
tcf(c_11860,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11858]) ).
tcf(c_11883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7072]) ).
tcf(c_11886,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(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7072]) ).
tcf(c_11957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8674]) ).
tcf(c_11966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9050]) ).
tcf(c_12060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9427]) ).
tcf(c_12083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9346]) ).
tcf(c_12123,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_1885,c_484]) ).
tcf(c_12140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6748]) ).
tcf(c_12141,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12140]) ).
tcf(c_12149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(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_6749]) ).
tcf(c_12161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6770]) ).
tcf(c_12162,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12161]) ).
tcf(c_12171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6774]) ).
tcf(c_12172,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_12171]) ).
tcf(c_12191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6798]) ).
tcf(c_12206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6805]) ).
tcf(c_12233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6829]) ).
tcf(c_12235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6834]) ).
tcf(c_12316,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(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_12317,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_12316]) ).
tcf(c_12365,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_7033]) ).
tcf(c_12366,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12365]) ).
tcf(c_12376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7055]) ).
tcf(c_12391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),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_7041]) ).
tcf(c_12399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ 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_7041]) ).
tcf(c_12425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8637]) ).
tcf(c_12432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),X3)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9103]) ).
tcf(c_12489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7188]) ).
tcf(c_12507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9314]) ).
tcf(c_12510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9314]) ).
tcf(c_12598,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_9426]) ).
tcf(c_12636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8636]) ).
tcf(c_12644,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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8638]) ).
tcf(c_12772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X1)))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9744]) ).
tcf(c_12800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7275]) ).
tcf(c_12825,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(X0))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7307]) ).
tcf(c_12843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7374]) ).
tcf(c_12856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_7637]) ).
tcf(c_12867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7711]) ).
tcf(c_12868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7299]) ).
tcf(c_12869,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_12868]) ).
tcf(c_12904,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_2660,c_56]) ).
tcf(c_12996,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(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7303]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7303]) ).
tcf(c_13013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7869]) ).
tcf(c_13015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7869]) ).
tcf(c_13044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7829]) ).
tcf(c_13051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7829]) ).
tcf(c_13053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7840]) ).
tcf(c_13093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7385]) ).
tcf(c_13138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8145]) ).
tcf(c_13144,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(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8166]) ).
tcf(c_13145,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13144]) ).
tcf(c_13199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7399]) ).
tcf(c_13203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7399]) ).
tcf(c_13205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(z))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8177]) ).
tcf(c_13211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(X4))
| ~ b(X1,s(X3))
| ~ b(s(X3),s(X4))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_8177]) ).
tcf(c_13251,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_12904,c_59]) ).
tcf(c_13314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7633]) ).
tcf(c_13348,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_809]) ).
tcf(c_13374,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_1620]) ).
tcf(c_13375,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_13374]) ).
tcf(c_13657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7748]) ).
tcf(c_13660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X0,s(X3))
| ~ b(X0,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7752]) ).
tcf(c_13663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ 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_7849]) ).
tcf(c_13664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7862]) ).
tcf(c_13708,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_8629]) ).
tcf(c_13732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X4))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8849]) ).
tcf(c_13736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8849]) ).
tcf(c_13817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7865]) ).
tcf(c_13818,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13817]) ).
tcf(c_13904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7865]) ).
tcf(c_13908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X3),s(X1))
| ~ b(s(s(X4)),X2)
| ~ b(s(X3),s(s(X4)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5204]) ).
tcf(c_13933,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(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7303]) ).
tcf(c_13934,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13933]) ).
tcf(c_13949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8874]) ).
tcf(c_13967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4824]) ).
tcf(c_13971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4824]) ).
tcf(c_13975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8009]) ).
tcf(c_13982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8009]) ).
tcf(c_14016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8087]) ).
tcf(c_14035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8106]) ).
tcf(c_14085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8139]) ).
tcf(c_14104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8188]) ).
tcf(c_14120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7940]) ).
tcf(c_14162,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_1270]) ).
tcf(c_14172,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_14162]) ).
tcf(c_14265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3057]) ).
tcf(c_14267,plain,
( ~ r(z,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_14265]) ).
tcf(c_14376,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4471]) ).
tcf(c_14429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7981]) ).
tcf(c_14445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(X1)),X3)
| ~ 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_8155]) ).
tcf(c_14452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8300]) ).
tcf(c_14467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_14473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_14512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(z),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_8283]) ).
tcf(c_14520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8283]) ).
tcf(c_14601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8347]) ).
tcf(c_14623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8146]) ).
tcf(c_14626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8146]) ).
tcf(c_14648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8406]) ).
tcf(c_14662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8432]) ).
tcf(c_14663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8432]) ).
tcf(c_14706,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z)) ),
inference(global_subsumption_just,[status(thm)],[c_13251,c_56,c_202,c_208]) ).
tcf(c_14708,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_14706]) ).
tcf(c_14734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8740]) ).
tcf(c_14865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_14874,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_14865]) ).
tcf(c_15016,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(X3),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8787]) ).
tcf(c_15029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ 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_8787]) ).
tcf(c_15034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8770]) ).
tcf(c_15075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8916]) ).
tcf(c_15173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8894]) ).
tcf(c_15185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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_8992]) ).
tcf(c_15189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8756]) ).
tcf(c_15202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X1)),s(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_8756]) ).
tcf(c_15207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8771]) ).
tcf(c_15208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X1))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8771]) ).
tcf(c_15217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X1),X4)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8771]) ).
tcf(c_15233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8774]) ).
tcf(c_15248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X4)),s(X1))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8797]) ).
tcf(c_15261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8800]) ).
tcf(c_15357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8909]) ).
tcf(c_15358,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15357]) ).
tcf(c_15382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X2)
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X4))
| ~ b(s(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_8953]) ).
tcf(c_15405,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(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_15408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_15410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_15412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(z),s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_15413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X1),X4)
| ~ b(X4,s(s(X3)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_8880]) ).
tcf(c_15426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X1)),X4)
| ~ b(s(X2),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_8895]) ).
tcf(c_15430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(s(X2),s(X0))
| ~ b(s(s(X1)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8895]) ).
tcf(c_15445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8913]) ).
tcf(c_15446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8913]) ).
tcf(c_15460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8917]) ).
tcf(c_15483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8933]) ).
tcf(c_15484,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(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8933]) ).
tcf(c_15515,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(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8994]) ).
tcf(c_15524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9003]) ).
tcf(c_15527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9003]) ).
tcf(c_16153,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(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_10729]) ).
tcf(c_16270,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_9860]) ).
tcf(c_16527,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_10274]) ).
tcf(c_16528,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_16527]) ).
tcf(c_16545,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_10274]) ).
tcf(c_16546,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_16545]) ).
tcf(c_17019,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(X0)) )
| ( s(s(s(z))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_13348]) ).
tcf(c_17093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10306]) ).
tcf(c_17097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(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(X1))) ),
inference(instantiation,[status(thm)],[c_10306]) ).
tcf(c_17212,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14376]) ).
tcf(c_17213,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_17212]) ).
tcf(c_17262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10481]) ).
tcf(c_17342,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10565]) ).
tcf(c_17369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10572]) ).
tcf(c_17401,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(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10590]) ).
tcf(c_17407,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(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_10655]) ).
tcf(c_17430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_10722]) ).
tcf(c_17431,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17430]) ).
tcf(c_17450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10725]) ).
tcf(c_17453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10725]) ).
tcf(c_17454,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_17453]) ).
tcf(c_17468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10727]) ).
tcf(c_17474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10828]) ).
tcf(c_17480,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11490]) ).
tcf(c_17548,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11548]) ).
tcf(c_17549,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17548]) ).
tcf(c_17838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X2)))),X3)
| ~ r(s(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_10601]) ).
tcf(c_17966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11059]) ).
tcf(c_17998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ 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_11689]) ).
tcf(c_18048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11105]) ).
tcf(c_18088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11202]) ).
tcf(c_18091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(z,s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11202]) ).
tcf(c_18126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(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_12140]) ).
tcf(c_18221,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)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12432]) ).
tcf(c_18229,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_12510]) ).
tcf(c_18230,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18229]) ).
tcf(c_18247,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_12598]) ).
tcf(c_18293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12206]) ).
tcf(c_18315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(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_10932]) ).
tcf(c_18316,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18315]) ).
tcf(c_18317,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_10932]) ).
tcf(c_18337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14265]) ).
tcf(c_18491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13044]) ).
tcf(c_18502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ 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_13044]) ).
tcf(c_18503,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18502]) ).
tcf(c_18568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12083]) ).
tcf(c_18577,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(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13982]) ).
tcf(c_18582,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_13982]) ).
tcf(c_18735,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12171]) ).
tcf(c_18760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11483]) ).
tcf(c_18761,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_18760]) ).
tcf(c_18877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_12376]) ).
tcf(c_19001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11791]) ).
tcf(c_19036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12772]) ).
tcf(c_19039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12772]) ).
tcf(c_19312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(z),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ 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_12391]) ).
tcf(c_19340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(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_11700]) ).
tcf(c_19423,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(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11883]) ).
tcf(c_19585,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14467]) ).
tcf(c_19660,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_12507]) ).
tcf(c_19661,plain,
( ~ r(z,s(s(s(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_19660]) ).
tcf(c_19771,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12235]) ).
tcf(c_20205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13904]) ).
tcf(c_20219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13904]) ).
tcf(c_20242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13967]) ).
tcf(c_20258,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_13975]) ).
tcf(c_20300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12399]) ).
tcf(c_20301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12399]) ).
tcf(c_20305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(s(s(X3)),X1)
| ~ b(s(X2),s(s(X3)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_13908]) ).
tcf(c_20307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(X3)),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X3)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13908]) ).
tcf(c_20311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(X4)),X2)
| ~ b(s(X3),s(s(X4)))
| ~ b(s(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_13908]) ).
tcf(c_20327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13933]) ).
tcf(c_20339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13949]) ).
tcf(c_20386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14512]) ).
tcf(c_20404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12489]) ).
tcf(c_20407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12489]) ).
tcf(c_20597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(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_8429]) ).
tcf(c_20604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5353]) ).
tcf(c_20605,plain,
( ~ b(z,s(z))
| ~ b(z,s(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)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20604]) ).
tcf(c_20670,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(X0)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12825]) ).
tcf(c_20679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12843]) ).
tcf(c_20772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13015]) ).
tcf(c_20777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13015]) ).
tcf(c_20843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12856]) ).
tcf(c_20844,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_20843]) ).
tcf(c_20845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_12856]) ).
tcf(c_20865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_12867]) ).
tcf(c_20873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12800]) ).
tcf(c_20880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X3)
| ~ b(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_13203]) ).
tcf(c_21001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12998]) ).
tcf(c_21004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(z)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12868]) ).
tcf(c_21015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12868]) ).
tcf(c_21131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13053]) ).
tcf(c_21184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14473]) ).
tcf(c_21199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14648]) ).
tcf(c_21227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13138]) ).
tcf(c_21303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(s(X2))),s(s(X4)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14662]) ).
tcf(c_21315,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(X1))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14663]) ).
tcf(c_21393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(s(X3)))
| ~ b(s(s(X4)),s(s(X1)))
| ~ b(s(s(X4)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12996]) ).
tcf(c_21404,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(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12996]) ).
tcf(c_21503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13093]) ).
tcf(c_21512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15029]) ).
tcf(c_21537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15382]) ).
tcf(c_21579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15412]) ).
tcf(c_21616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15515]) ).
tcf(c_21624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13199]) ).
tcf(c_21625,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21624]) ).
tcf(c_21693,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(X0)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15483]) ).
tcf(c_21722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15524]) ).
tcf(c_21731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13205]) ).
tcf(c_21732,plain,
( ~ b(z,s(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))))) ),
inference(instantiation,[status(thm)],[c_21731]) ).
tcf(c_22045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13314]) ).
tcf(c_22078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13657]) ).
tcf(c_22095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X0,s(X3))
| ~ b(X0,s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13660]) ).
tcf(c_22098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X0,s(X2))
| ~ b(s(s(X3)),z)
| ~ b(X0,s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13660]) ).
tcf(c_22111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13663]) ).
tcf(c_22113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13664]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13211]) ).
tcf(c_22144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_13211]) ).
tcf(c_22228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13971]) ).
tcf(c_22230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13971]) ).
tcf(c_22265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X4))
| ~ 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_13732]) ).
tcf(c_22287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(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(X1))) ),
inference(instantiation,[status(thm)],[c_14035]) ).
tcf(c_22288,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_22287]) ).
tcf(c_22353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14016]) ).
tcf(c_22357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14016]) ).
tcf(c_22386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14085]) ).
tcf(c_22402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14104]) ).
tcf(c_22417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(X0)))
| ~ 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_13736]) ).
tcf(c_22558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13817]) ).
tcf(c_22574,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(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13817]) ).
tcf(c_22585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),X1)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14445]) ).
tcf(c_22587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14445]) ).
tcf(c_22607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14520]) ).
tcf(c_22651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14601]) ).
tcf(c_22724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_22726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_22727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_22806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14734]) ).
tcf(c_22859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15034]) ).
tcf(c_22860,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22859]) ).
tcf(c_22863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15034]) ).
tcf(c_22884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14120]) ).
tcf(c_22957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_15075]) ).
tcf(c_22960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15075]) ).
tcf(c_22961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15075]) ).
tcf(c_23048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(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_15185]) ).
tcf(c_23090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),s(X4))
| ~ b(s(s(X1)),X3)
| ~ 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_15173]) ).
tcf(c_23115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15202]) ).
tcf(c_23130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15207]) ).
tcf(c_23173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_15405]) ).
tcf(c_23177,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(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15405]) ).
tcf(c_23183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15408]) ).
tcf(c_23213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14429]) ).
tcf(c_23233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,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(z))) ),
inference(instantiation,[status(thm)],[c_15217]) ).
tcf(c_23236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(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_15217]) ).
tcf(c_23245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15233]) ).
tcf(c_23260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ 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_15248]) ).
tcf(c_23263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(X1)),s(s(X4)))
| ~ 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_15248]) ).
tcf(c_23306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15445]) ).
tcf(c_23339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15460]) ).
tcf(c_23387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14452]) ).
tcf(c_23405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15261]) ).
tcf(c_23449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15527]) ).
tcf(c_23460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_23462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),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(s(z)))) ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_23463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X4))
| ~ 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_14623]) ).
tcf(c_23487,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(X3),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15016]) ).
tcf(c_23518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X4))
| ~ 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_15189]) ).
tcf(c_23527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X1)),X4)
| ~ 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_15208]) ).
tcf(c_23602,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(s(X3)),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15484]) ).
tcf(c_23656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15357]) ).
tcf(c_23694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15410]) ).
tcf(c_23695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15410]) ).
tcf(c_23702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X4))
| ~ b(s(X4),s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_15413]) ).
tcf(c_23718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X2)
| ~ b(s(X0),s(X4))
| ~ b(s(X0),s(s(X3)))
| ~ b(s(s(X3)),s(X4))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15413]) ).
tcf(c_23729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15426]) ).
tcf(c_23755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),s(X3))
| ~ b(s(s(X4)),X2)
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X0),s(s(X4)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15430]) ).
tcf(c_23765,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(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_15446]) ).
tcf(c_23767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15446]) ).
tcf(c_23915,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_13708]) ).
tcf(c_23916,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_23915]) ).
tcf(c_23937,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_13708]) ).
tcf(c_23938,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_23937]) ).
tcf(c_24010,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_17019]) ).
tcf(c_24259,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_16153]) ).
tcf(c_24462,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(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18577]) ).
tcf(c_24697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17262]) ).
tcf(c_24751,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18582]) ).
tcf(c_24763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_17093]) ).
tcf(c_24833,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_17097]) ).
tcf(c_24834,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_24833]) ).
tcf(c_24915,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17342]) ).
tcf(c_24916,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))))) ),
inference(instantiation,[status(thm)],[c_24915]) ).
tcf(c_25053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17450]) ).
tcf(c_25069,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17480]) ).
tcf(c_25125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17369]) ).
tcf(c_25223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(X3)),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_18126]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(z)),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_19585]) ).
tcf(c_25335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18568]) ).
tcf(c_25349,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19771]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_20258]) ).
tcf(c_25617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_18088]) ).
tcf(c_25621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18091]) ).
tcf(c_25677,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_18229]) ).
tcf(c_25717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18293]) ).
tcf(c_25763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18315]) ).
tcf(c_25800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19036]) ).
tcf(c_25815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_18491]) ).
tcf(c_25858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18317]) ).
tcf(c_25900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_18735]) ).
tcf(c_25908,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_18877]) ).
tcf(c_25918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19039]) ).
tcf(c_25949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_18337]) ).
tcf(c_25950,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25949]) ).
tcf(c_26257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22357]) ).
tcf(c_26295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18760]) ).
tcf(c_26385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19340]) ).
tcf(c_26477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20219]) ).
tcf(c_26482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20219]) ).
tcf(c_26485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20219]) ).
tcf(c_26487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20219]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19001]) ).
tcf(c_26607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ 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_19312]) ).
tcf(c_26820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20679]) ).
tcf(c_26948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),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_21184]) ).
tcf(c_26949,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26948]) ).
tcf(c_26980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_20300]) ).
tcf(c_27054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(s(X0)))
| ~ 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_20301]) ).
tcf(c_27064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20327]) ).
tcf(c_27119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X0))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22230]) ).
tcf(c_27120,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27119]) ).
tcf(c_27151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20404]) ).
tcf(c_27253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22386]) ).
tcf(c_27373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21199]) ).
tcf(c_27485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21303]) ).
tcf(c_27525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23173]) ).
tcf(c_27570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ 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(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21315]) ).
tcf(c_27679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21512]) ).
tcf(c_27775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21537]) ).
tcf(c_27787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21537]) ).
tcf(c_27791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21616]) ).
tcf(c_27792,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27791]) ).
tcf(c_27804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21624]) ).
tcf(c_27805,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27804]) ).
tcf(c_27817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21624]) ).
tcf(c_27831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20242]) ).
tcf(c_28073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20205]) ).
tcf(c_28166,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22353]) ).
tcf(c_28231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22585]) ).
tcf(c_28252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22587]) ).
tcf(c_28276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22957]) ).
tcf(c_28338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22607]) ).
tcf(c_28482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_20845]) ).
tcf(c_28494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_20865]) ).
tcf(c_28507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(X3)),X1)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20311]) ).
tcf(c_28532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X2))),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23115]) ).
tcf(c_28546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(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_23405]) ).
tcf(c_28645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23602]) ).
tcf(c_28675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21001]) ).
tcf(c_28719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21131]) ).
tcf(c_28788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20339]) ).
tcf(c_28804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_21227]) ).
tcf(c_28873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(s(z))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20777]) ).
tcf(c_28875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20777]) ).
tcf(c_28880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20873]) ).
tcf(c_29006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21503]) ).
tcf(c_29051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21579]) ).
tcf(c_29052,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_29051]) ).
tcf(c_29056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_21579]) ).
tcf(c_29057,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29056]) ).
tcf(c_29101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21722]) ).
tcf(c_29145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_21693]) ).
tcf(c_29193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20880]) ).
tcf(c_29214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X0))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22098]) ).
tcf(c_29267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_23460]) ).
tcf(c_29271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_23460]) ).
tcf(c_29339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23462]) ).
tcf(c_29340,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29339]) ).
tcf(c_29417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21004]) ).
tcf(c_29544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21015]) ).
tcf(c_29730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22045]) ).
tcf(c_29739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22078]) ).
tcf(c_29741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ b(z,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_22078]) ).
tcf(c_29749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),s(X3))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22095]) ).
tcf(c_29770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22113]) ).
tcf(c_29826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(X3)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21393]) ).
tcf(c_29828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(s(z))))
| ~ 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_21393]) ).
tcf(c_29849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X0),s(s(z)))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22141]) ).
tcf(c_29860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(X0),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(X0),s(s(X3)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22144]) ).
tcf(c_29891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22228]) ).
tcf(c_29924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22402]) ).
tcf(c_29925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22402]) ).
tcf(c_30006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21404]) ).
tcf(c_30096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22651]) ).
tcf(c_30110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),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_22726]) ).
tcf(c_30116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22726]) ).
tcf(c_30152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22727]) ).
tcf(c_30162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ 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_22884]) ).
tcf(c_30165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22884]) ).
tcf(c_30201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22806]) ).
tcf(c_30208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22806]) ).
tcf(c_30244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X1)),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_22863]) ).
tcf(c_30245,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30244]) ).
tcf(c_30266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(X0))),X4)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22265]) ).
tcf(c_30286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22960]) ).
tcf(c_30301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22961]) ).
tcf(c_30368,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(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23130]) ).
tcf(c_30459,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(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23177]) ).
tcf(c_30468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23183]) ).
tcf(c_30532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22558]) ).
tcf(c_30533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22558]) ).
tcf(c_30564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,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_23236]) ).
tcf(c_30566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,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_23236]) ).
tcf(c_30576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23263]) ).
tcf(c_30578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23263]) ).
tcf(c_30603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23306]) ).
tcf(c_30640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23339]) ).
tcf(c_30641,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30640]) ).
tcf(c_30696,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(X0)))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22574]) ).
tcf(c_30714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23387]) ).
tcf(c_30793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23449]) ).
tcf(c_30839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23463]) ).
tcf(c_30892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ 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_23694]) ).
tcf(c_30921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23765]) ).
tcf(c_30964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X1)),s(X2))
| ~ 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_22724]) ).
tcf(c_30997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23527]) ).
tcf(c_31058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23090]) ).
tcf(c_31070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23090]) ).
tcf(c_31077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23213]) ).
tcf(c_31098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X4)
| ~ 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_23245]) ).
tcf(c_31112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X2))
| ~ b(s(X4),s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23487]) ).
tcf(c_31139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X4))
| ~ 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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23518]) ).
tcf(c_31167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23695]) ).
tcf(c_31253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(X4))
| ~ b(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_23656]) ).
tcf(c_31277,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(X3),s(s(X0)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_23702]) ).
tcf(c_31289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X0)),s(X4))
| ~ 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_23718]) ).
tcf(c_31322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_23729]) ).
tcf(c_31337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X0)),s(X4))
| ~ 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_23755]) ).
tcf(c_31377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23767]) ).
tcf(c_32947,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25286]) ).
tcf(c_33211,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_25617]) ).
tcf(c_33212,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33211]) ).
tcf(c_33215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_25617]) ).
tcf(c_33319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25621]) ).
tcf(c_33320,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))))) ),
inference(instantiation,[status(thm)],[c_33319]) ).
tcf(c_33394,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25815]) ).
tcf(c_33395,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_33394]) ).
tcf(c_33398,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_25815]) ).
tcf(c_33399,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33398]) ).
tcf(c_33400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_25815]) ).
tcf(c_33401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25815]) ).
tcf(c_33426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_25900]) ).
tcf(c_33434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_25908]) ).
tcf(c_34133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26385]) ).
tcf(c_34135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26295]) ).
tcf(c_34137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25763]) ).
tcf(c_34139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25800]) ).
tcf(c_34142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25677]) ).
tcf(c_34149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24697]) ).
tcf(c_34152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18221]) ).
tcf(c_34153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12644]) ).
tcf(c_34154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12636]) ).
tcf(c_34155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12425]) ).
tcf(c_34156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12191]) ).
tcf(c_34157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11966]) ).
tcf(c_34158,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_11842]) ).
tcf(c_34159,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(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11623]) ).
tcf(c_34162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11160]) ).
tcf(c_34164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10966]) ).
tcf(c_34165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10949]) ).
tcf(c_34167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11385]) ).
tcf(c_34168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12233]) ).
tcf(c_34169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12149]) ).
tcf(c_34170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11130]) ).
tcf(c_34171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11122]) ).
tcf(c_34172,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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11103]) ).
tcf(c_34173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11957]) ).
tcf(c_34175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11614]) ).
tcf(c_34176,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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10857]) ).
tcf(c_34178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11193]) ).
tcf(c_34179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10884]) ).
tcf(c_34180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10808]) ).
tcf(c_34181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10581]) ).
tcf(c_34188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6205]) ).
tcf(c_34191,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_34188]) ).
tcf(c_34197,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_34181]) ).
tcf(c_34198,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34180]) ).
tcf(c_34199,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_34179]) ).
tcf(c_34200,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_34178]) ).
tcf(c_34201,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_34176]) ).
tcf(c_34202,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_34172]) ).
tcf(c_34203,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_34171]) ).
tcf(c_34204,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_34170]) ).
tcf(c_34205,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_34168]) ).
tcf(c_34206,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_34167]) ).
tcf(c_34207,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_34165]) ).
tcf(c_34208,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_34164]) ).
tcf(c_34209,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_34162]) ).
tcf(c_34211,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_34159]) ).
tcf(c_34213,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_34157]) ).
tcf(c_34214,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_34156]) ).
tcf(c_34215,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_34152]) ).
tcf(c_34217,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34149]) ).
tcf(c_34219,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_34142]) ).
tcf(c_34222,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_34137]) ).
tcf(c_34260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17838]) ).
tcf(c_34263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X2)))))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25223]) ).
tcf(c_34265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X2)))),s(s(X3)))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17998]) ).
tcf(c_34267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X2)))),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17401]) ).
tcf(c_34271,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_34267]) ).
tcf(c_34273,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_34265]) ).
tcf(c_34274,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_34263]) ).
tcf(c_34937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(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_26385]) ).
tcf(c_34940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25858]) ).
tcf(c_34943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(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_25800]) ).
tcf(c_34946,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_25677]) ).
tcf(c_34950,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(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25335]) ).
tcf(c_34951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25125]) ).
tcf(c_34953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24697]) ).
tcf(c_34956,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))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_18221]) ).
tcf(c_34957,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(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12644]) ).
tcf(c_34958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12636]) ).
tcf(c_34959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12425]) ).
tcf(c_34960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12191]) ).
tcf(c_34961,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))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11966]) ).
tcf(c_34962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11842]) ).
tcf(c_34963,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_11623]) ).
tcf(c_34969,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(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10949]) ).
tcf(c_34972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(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_12233]) ).
tcf(c_34973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(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(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12149]) ).
tcf(c_34974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(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_11130]) ).
tcf(c_34975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(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_11122]) ).
tcf(c_34976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11103]) ).
tcf(c_34977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11957]) ).
tcf(c_34982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(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_11193]) ).
tcf(c_34983,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ 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_10884]) ).
tcf(c_34984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(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_10808]) ).
tcf(c_34985,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_10581]) ).
tcf(c_34986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10443]) ).
tcf(c_34987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6578]) ).
tcf(c_34991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6320]) ).
tcf(c_34992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6205]) ).
tcf(c_34995,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_34992]) ).
tcf(c_34996,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_34991]) ).
tcf(c_35000,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34986]) ).
tcf(c_35001,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_34985]) ).
tcf(c_35002,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34984]) ).
tcf(c_35004,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_34982]) ).
tcf(c_35006,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_34976]) ).
tcf(c_35007,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_34975]) ).
tcf(c_35008,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_34974]) ).
tcf(c_35009,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34972]) ).
tcf(c_35011,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34969]) ).
tcf(c_35015,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_34963]) ).
tcf(c_35016,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_34962]) ).
tcf(c_35017,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_34961]) ).
tcf(c_35018,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_34960]) ).
tcf(c_35019,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_34956]) ).
tcf(c_35021,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_34953]) ).
tcf(c_35022,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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34951]) ).
tcf(c_35023,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34950]) ).
tcf(c_35024,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_34946]) ).
tcf(c_35026,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_34943]) ).
tcf(c_36410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26980]) ).
tcf(c_36459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29051]) ).
tcf(c_36460,plain,
( ~ b(z,s(s(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_36459]) ).
tcf(c_36479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X3),s(s(X2)))
| ~ 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_27054]) ).
tcf(c_36552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(z,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(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26477]) ).
tcf(c_36614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_26532]) ).
tcf(c_36671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_26607]) ).
tcf(c_36672,plain,
( ~ b(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(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36671]) ).
tcf(c_36719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(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(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26482]) ).
tcf(c_36779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26820]) ).
tcf(c_36891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26487]) ).
tcf(c_36994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_27119]) ).
tcf(c_37083,plain,
! [X0: $i,X1: $i] :
( r(s(z),z)
| r(z,s(X1))
| r(s(X1),z)
| r(s(s(X0)),s(z))
| ~ b(s(s(X0)),z) ),
inference(resolution,[status(thm)],[c_12123,c_14706]) ).
tcf(c_37084,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),s(z))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_37083]) ).
tcf(c_37126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ 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_27253]) ).
tcf(c_37166,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(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27064]) ).
tcf(c_37170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27064]) ).
tcf(c_37226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_27525]) ).
tcf(c_37504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29006]) ).
tcf(c_37548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_29145]) ).
tcf(c_37604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29267]) ).
tcf(c_37665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28507]) ).
tcf(c_37765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28532]) ).
tcf(c_37807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29770]) ).
tcf(c_37835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27151]) ).
tcf(c_38021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28788]) ).
tcf(c_38023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28873]) ).
tcf(c_38024,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38023]) ).
tcf(c_38037,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(X1))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_28875]) ).
tcf(c_38038,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38037]) ).
tcf(c_38053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28875]) ).
tcf(c_38233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29214]) ).
tcf(c_38277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ 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_27831]) ).
tcf(c_38490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(z,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_27679]) ).
tcf(c_38701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ 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_29924]) ).
tcf(c_38729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30110]) ).
tcf(c_38730,plain,
( ~ 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)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38729]) ).
tcf(c_38736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_27775]) ).
tcf(c_38791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30201]) ).
tcf(c_39004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X2)))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28482]) ).
tcf(c_39005,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39004]) ).
tcf(c_39008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_28482]) ).
tcf(c_39033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28494]) ).
tcf(c_39062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30096]) ).
tcf(c_39063,plain,
( ~ b(z,s(s(z)))
| ~ 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_39062]) ).
tcf(c_39172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(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_28675]) ).
tcf(c_39224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30152]) ).
tcf(c_39272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(z,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_28719]) ).
tcf(c_39320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),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_27804]) ).
tcf(c_39321,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39320]) ).
tcf(c_39329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30165]) ).
tcf(c_39498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30286]) ).
tcf(c_39504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ 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_30286]) ).
tcf(c_39515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ 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_30301]) ).
tcf(c_39568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29101]) ).
tcf(c_39686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(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_29271]) ).
tcf(c_39729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X3),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_30564]) ).
tcf(c_39747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),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_30566]) ).
tcf(c_39858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30578]) ).
tcf(c_39992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X3))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29826]) ).
tcf(c_40256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30997]) ).
tcf(c_40471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_28645]) ).
tcf(c_40536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ 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_28546]) ).
tcf(c_40572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31377]) ).
tcf(c_40714,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(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(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_29417]) ).
tcf(c_40759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ 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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29544]) ).
tcf(c_40795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29730]) ).
tcf(c_40798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29730]) ).
tcf(c_40864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29741]) ).
tcf(c_40865,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40864]) ).
tcf(c_40868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29741]) ).
tcf(c_40873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(z,s(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29741]) ).
tcf(c_40882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(z,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_29749]) ).
tcf(c_40976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(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(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29828]) ).
tcf(c_40977,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40976]) ).
tcf(c_40983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29849]) ).
tcf(c_40998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X3)))
| ~ 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_29860]) ).
tcf(c_41012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28880]) ).
tcf(c_41024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,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(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28880]) ).
tcf(c_41087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29891]) ).
tcf(c_41117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29925]) ).
tcf(c_41170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),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_30006]) ).
tcf(c_41243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ 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_30208]) ).
tcf(c_41306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30266]) ).
tcf(c_41314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30266]) ).
tcf(c_41389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30368]) ).
tcf(c_41433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30459]) ).
tcf(c_41452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30468]) ).
tcf(c_41552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30532]) ).
tcf(c_41598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30603]) ).
tcf(c_41609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30533]) ).
tcf(c_41611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30533]) ).
tcf(c_41675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X0)),s(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_30640]) ).
tcf(c_41676,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(z))) ),
inference(instantiation,[status(thm)],[c_41675]) ).
tcf(c_41722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30892]) ).
tcf(c_41754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30839]) ).
tcf(c_41801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30921]) ).
tcf(c_41802,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(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_41801]) ).
tcf(c_41805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30921]) ).
tcf(c_41959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30714]) ).
tcf(c_41968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30964]) ).
tcf(c_42085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31058]) ).
tcf(c_42099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),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_31070]) ).
tcf(c_42106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X3)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31098]) ).
tcf(c_42114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31098]) ).
tcf(c_42123,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(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31112]) ).
tcf(c_42152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31077]) ).
tcf(c_42159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31077]) ).
tcf(c_42162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31077]) ).
tcf(c_42190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,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_31167]) ).
tcf(c_42301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31253]) ).
tcf(c_42302,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(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42301]) ).
tcf(c_42402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31277]) ).
tcf(c_42414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31289]) ).
tcf(c_42425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31322]) ).
tcf(c_42443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X1)
| ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31337]) ).
tcf(c_43002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34133]) ).
tcf(c_43003,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43002]) ).
tcf(c_43007,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),s(s(X1)))
| r(s(s(s(s(s(X0))))),s(s(X1)))
| ( s(s(s(s(s(X0))))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_4341]) ).
tcf(c_43008,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_43007]) ).
tcf(c_43027,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(s(s(s(X1))))))
| r(s(s(X0)),s(s(s(s(s(X1))))))
| ( s(s(X0)) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_4170]) ).
tcf(c_43028,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_43027]) ).
tcf(c_43095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34135]) ).
tcf(c_43096,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_43095]) ).
tcf(c_43198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34139]) ).
tcf(c_43199,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43198]) ).
tcf(c_43217,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),s(X1))
| r(s(s(s(s(s(X0))))),s(X1))
| ( s(s(s(s(s(X0))))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_2898]) ).
tcf(c_43218,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_43217]) ).
tcf(c_43357,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32947]) ).
tcf(c_43358,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43357]) ).
tcf(c_43602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),X3)
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34153]) ).
tcf(c_43603,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43602]) ).
tcf(c_43685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34154]) ).
tcf(c_43686,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43685]) ).
tcf(c_43698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34155]) ).
tcf(c_43699,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_43698]) ).
tcf(c_43711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34156]) ).
tcf(c_43794,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(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34158]) ).
tcf(c_43826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33215]) ).
tcf(c_43857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33426]) ).
tcf(c_43863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33434]) ).
tcf(c_43969,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_4186]) ).
tcf(c_43970,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_43969]) ).
tcf(c_44089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X3))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34168]) ).
tcf(c_44090,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_44089]) ).
tcf(c_44106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(X3)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34169]) ).
tcf(c_44107,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_44106]) ).
tcf(c_44168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34173]) ).
tcf(c_44169,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_44168]) ).
tcf(c_44183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),X3)
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34175]) ).
tcf(c_44184,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44183]) ).
tcf(c_44273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34181]) ).
tcf(c_44274,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44273]) ).
tcf(c_44325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37170]) ).
tcf(c_44326,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_44325]) ).
tcf(c_44591,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_34260]) ).
tcf(c_44592,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_44591]) ).
tcf(c_44680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X3))),s(s(s(s(X2)))))
| ~ r(s(s(s(X3))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34263]) ).
tcf(c_44681,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_44680]) ).
tcf(c_44708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X2)))),s(s(s(X3))))
| ~ r(s(s(s(X3))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34265]) ).
tcf(c_44709,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_44708]) ).
tcf(c_44751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ 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_34983]) ).
tcf(c_44752,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_44751]) ).
tcf(c_44963,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36779]) ).
tcf(c_44964,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44963]) ).
tcf(c_45016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ 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_34937]) ).
tcf(c_45017,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45016]) ).
tcf(c_45028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34940]) ).
tcf(c_45029,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_45028]) ).
tcf(c_45055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ 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_34943]) ).
tcf(c_45056,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45055]) ).
tcf(c_45189,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37226]) ).
tcf(c_45190,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45189]) ).
tcf(c_45276,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(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34957]) ).
tcf(c_45277,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45276]) ).
tcf(c_45294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ 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_37504]) ).
tcf(c_45295,plain,
( ~ 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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45294]) ).
tcf(c_45340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ 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_37604]) ).
tcf(c_45344,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(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34958]) ).
tcf(c_45345,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45344]) ).
tcf(c_45358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),X3)
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34959]) ).
tcf(c_45359,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_45358]) ).
tcf(c_45446,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37807]) ).
tcf(c_45447,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45446]) ).
tcf(c_45451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(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_37807]) ).
tcf(c_45612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34972]) ).
tcf(c_45613,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45612]) ).
tcf(c_45670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(s(X1))))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34973]) ).
tcf(c_45671,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_45670]) ).
tcf(c_45684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),X3)
| ~ 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(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34977]) ).
tcf(c_45685,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_45684]) ).
tcf(c_45780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X3))
| ~ 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(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34986]) ).
tcf(c_45781,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45780]) ).
tcf(c_45792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34987]) ).
tcf(c_45793,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_45792]) ).
tcf(c_45796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34987]) ).
tcf(c_46267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40714]) ).
tcf(c_46282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36410]) ).
tcf(c_46397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41087]) ).
tcf(c_46413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(s(X1)))),z)
| ~ 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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36479]) ).
tcf(c_46496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X3))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36552]) ).
tcf(c_46647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X3))),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X3))),s(s(s(s(X2)))))
| ~ b(s(s(s(X3))),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36719]) ).
tcf(c_46648,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46647]) ).
tcf(c_46713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37835]) ).
tcf(c_46845,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_46846,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_46845]) ).
tcf(c_46862,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_16270]) ).
tcf(c_46863,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_46862]) ).
tcf(c_47441,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38277]) ).
tcf(c_48781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(s(X2))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38053]) ).
tcf(c_48782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(s(s(s(X3)))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38021]) ).
tcf(c_48784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37765]) ).
tcf(c_48801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ 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(X1))))) ),
inference(instantiation,[status(thm)],[c_27570]) ).
tcf(c_48804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28252]) ).
tcf(c_48806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_27817]) ).
tcf(c_48807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_27787]) ).
tcf(c_48810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X4)))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_27485]) ).
tcf(c_48815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22111]) ).
tcf(c_48818,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(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20670]) ).
tcf(c_48835,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48818]) ).
tcf(c_48836,plain,
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(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_48815]) ).
tcf(c_48839,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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48810]) ).
tcf(c_49689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_36994]) ).
tcf(c_49690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_36614]) ).
tcf(c_49693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(X3,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_29193]) ).
tcf(c_49720,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(X0)))))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(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_20670]) ).
tcf(c_49745,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_49689]) ).
tcf(c_50743,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ 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))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38701]) ).
tcf(c_51690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),s(X2))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38791]) ).
tcf(c_51884,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(z))),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(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_51885,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51884]) ).
tcf(c_52062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39033]) ).
tcf(c_52063,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(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(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52062]) ).
tcf(c_52092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39172]) ).
tcf(c_52158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38490]) ).
tcf(c_52254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39008]) ).
tcf(c_52325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39224]) ).
tcf(c_52421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39272]) ).
tcf(c_52533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39329]) ).
tcf(c_52606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39515]) ).
tcf(c_52607,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(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52606]) ).
tcf(c_53085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39992]) ).
tcf(c_53157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37665]) ).
tcf(c_53158,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53157]) ).
tcf(c_53193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40572]) ).
tcf(c_53447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(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_41609]) ).
tcf(c_53448,plain,
( ~ b(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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53447]) ).
tcf(c_53799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(z))),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_42402]) ).
tcf(c_53835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40873]) ).
tcf(c_53848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40976]) ).
tcf(c_53864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42414]) ).
tcf(c_53873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42443]) ).
tcf(c_53874,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53873]) ).
tcf(c_54006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38023]) ).
tcf(c_54007,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54006]) ).
tcf(c_54054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(s(X0))))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38233]) ).
tcf(c_54055,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54054]) ).
tcf(c_54188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X0)))),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_39320]) ).
tcf(c_54333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39729]) ).
tcf(c_54390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40471]) ).
tcf(c_54404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38037]) ).
tcf(c_54405,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(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54404]) ).
tcf(c_54566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_41170]) ).
tcf(c_54643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40795]) ).
tcf(c_54671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(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_40868]) ).
tcf(c_54672,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_54671]) ).
tcf(c_54678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40882]) ).
tcf(c_54714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40983]) ).
tcf(c_54715,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54714]) ).
tcf(c_54759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ 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_41243]) ).
tcf(c_54772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40998]) ).
tcf(c_54807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41117]) ).
tcf(c_54866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_41314]) ).
tcf(c_54867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41314]) ).
tcf(c_54888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41306]) ).
tcf(c_54910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41389]) ).
tcf(c_54911,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54910]) ).
tcf(c_54914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),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_41389]) ).
tcf(c_54963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41452]) ).
tcf(c_55041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41552]) ).
tcf(c_55043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41552]) ).
tcf(c_55066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41598]) ).
tcf(c_55150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ 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(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41722]) ).
tcf(c_55180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),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_41754]) ).
tcf(c_55261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41805]) ).
tcf(c_55262,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_55261]) ).
tcf(c_55264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41805]) ).
tcf(c_55448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X3)
| ~ b(X3,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(X1)))) ),
inference(instantiation,[status(thm)],[c_39747]) ).
tcf(c_55449,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_55448]) ).
tcf(c_55475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_42114]) ).
tcf(c_55502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(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(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42190]) ).
tcf(c_55540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42152]) ).
tcf(c_55541,plain,
( ~ b(s(s(z)),z)
| ~ b(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(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55540]) ).
tcf(c_55556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42159]) ).
tcf(c_55618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X1))),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_39858]) ).
tcf(c_55764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42425]) ).
tcf(c_56366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40256]) ).
tcf(c_56941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41012]) ).
tcf(c_56971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41024]) ).
tcf(c_57363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41611]) ).
tcf(c_57404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),s(X2))
| ~ b(s(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(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41959]) ).
tcf(c_57418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41968]) ).
tcf(c_57419,plain,
( ~ b(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)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_57418]) ).
tcf(c_57475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42085]) ).
tcf(c_57508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(z),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),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_42099]) ).
tcf(c_57815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42162]) ).
tcf(c_57816,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57815]) ).
tcf(c_58818,plain,
! [X0: $i] :
( ~ b(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(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47441]) ).
tcf(c_58819,plain,
( ~ b(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(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58818]) ).
tcf(c_58820,plain,
! [X0: $i] :
( ~ b(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(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47441]) ).
tcf(c_58821,plain,
( ~ b(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(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58820]) ).
tcf(c_59023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43794]) ).
tcf(c_59042,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43826]) ).
tcf(c_59043,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59042]) ).
tcf(c_59044,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43826]) ).
tcf(c_59045,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_59044]) ).
tcf(c_59166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44325]) ).
tcf(c_59167,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_59166]) ).
tcf(c_59372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45796]) ).
tcf(c_59553,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_2405]) ).
tcf(c_59554,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_59553]) ).
tcf(c_59558,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_2408]) ).
tcf(c_59559,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_59558]) ).
tcf(c_59583,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_1088]) ).
tcf(c_59584,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_59583]) ).
tcf(c_59733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52421]) ).
tcf(c_59918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53848]) ).
tcf(c_60355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44089]) ).
tcf(c_60580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46267]) ).
tcf(c_61253,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(s(s(X1))))))
| r(s(s(s(X0))),s(s(s(s(s(X1))))))
| ( s(s(s(X0))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_43027]) ).
tcf(c_61254,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_61253]) ).
tcf(c_61556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_38233]) ).
tcf(c_61559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(X4),s(s(X3)))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_31337]) ).
tcf(c_61566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_30793]) ).
tcf(c_61567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_30301]) ).
tcf(c_61573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_22417]) ).
tcf(c_61574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X4))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_22265]) ).
tcf(c_61578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_21731]) ).
tcf(c_61583,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(s(X0)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_15515]) ).
tcf(c_61585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12800]) ).
tcf(c_61586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_7869]) ).
tcf(c_61587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_7307]) ).
tcf(c_61592,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),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_61578]) ).
tcf(c_61597,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61556]) ).
tcf(c_61616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52533]) ).
tcf(c_61626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23048]) ).
tcf(c_61632,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_61626]) ).
tcf(c_61636,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_61616]) ).
tcf(c_61694,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(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42123]) ).
tcf(c_61697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40536]) ).
tcf(c_61699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31139]) ).
tcf(c_61700,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(s(X0))))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30696]) ).
tcf(c_61701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_28073]) ).
tcf(c_61718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36891]) ).
tcf(c_61719,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_61718]) ).
tcf(c_61755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_36719]) ).
tcf(c_61756,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(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61755]) ).
tcf(c_62727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45451]) ).
tcf(c_62728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),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(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_45340]) ).
tcf(c_62744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39686]) ).
tcf(c_62773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_29739]) ).
tcf(c_62780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26257]) ).
tcf(c_62781,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_25349]) ).
tcf(c_62795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_13051]) ).
tcf(c_62818,plain,
( ~ 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_62728]) ).
tcf(c_62980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46397]) ).
tcf(c_62991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_20597]) ).
tcf(c_63191,plain,
! [X0: $i,X1: $i] :
( ( s(X1) = s(s(s(s(s(X0))))) )
| ( s(X1) != s(X1) )
| ( s(s(s(s(s(X0))))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_10005]) ).
tcf(c_63196,plain,
! [X0: $i,X1: $i] :
( ( s(z) = s(s(s(s(s(X0))))) )
| ( s(z) != s(X1) )
| ( s(s(s(s(s(X0))))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_10001]) ).
tcf(c_63197,plain,
( ( s(z) = s(s(s(s(s(z))))) )
| ( s(z) != s(z) )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_63196]) ).
tcf(c_63738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X2)
| ~ b(s(s(s(X1))),X2)
| ~ 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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40798]) ).
tcf(c_63781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(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_27373]) ).
tcf(c_63796,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_24751]) ).
tcf(c_63800,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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24462]) ).
tcf(c_63834,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10096]) ).
tcf(c_63844,plain,
( ~ b(z,s(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_63834]) ).
tcf(c_63850,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_63800]) ).
tcf(c_63853,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_63796]) ).
tcf(c_63857,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63781]) ).
tcf(c_63866,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_63738]) ).
tcf(c_64003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_37126]) ).
tcf(c_64232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46282]) ).
tcf(c_64233,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64232]) ).
tcf(c_64396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(s(X0),s(s(z)))
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_29849]) ).
tcf(c_64423,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(s(s(s(X1))))),X2)
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_7274]) ).
tcf(c_64476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3158]) ).
tcf(c_64591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39504]) ).
tcf(c_64603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_13203]) ).
tcf(c_64635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_20242]) ).
tcf(c_64636,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_64635]) ).
tcf(c_64658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38736]) ).
tcf(c_64663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26485]) ).
tcf(c_64664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22574]) ).
tcf(c_64896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ 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_46413]) ).
tcf(c_64902,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(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48781]) ).
tcf(c_64903,plain,
( ~ b(z,s(z))
| ~ b(z,s(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(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64902]) ).
tcf(c_65767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(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_53799]) ).
tcf(c_65874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X0)))),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_54188]) ).
tcf(c_66030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_54678]) ).
tcf(c_66045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_54772]) ).
tcf(c_66121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_54914]) ).
tcf(c_66122,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66121]) ).
tcf(c_66145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),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_54963]) ).
tcf(c_66184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(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(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_55041]) ).
tcf(c_66185,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_66184]) ).
tcf(c_66205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),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(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55066]) ).
tcf(c_66217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),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(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46496]) ).
tcf(c_66218,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_66217]) ).
tcf(c_66219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46496]) ).
tcf(c_66230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(s(s(s(s(X3)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48782]) ).
tcf(c_66270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48784]) ).
tcf(c_66271,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_66270]) ).
tcf(c_66335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55540]) ).
tcf(c_66336,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_66335]) ).
tcf(c_66425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55764]) ).
tcf(c_66442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46713]) ).
tcf(c_66773,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50743]) ).
tcf(c_66774,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_66773]) ).
tcf(c_66807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51690]) ).
tcf(c_66954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(z),s(X3))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48804]) ).
tcf(c_66996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48806]) ).
tcf(c_66997,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(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_66996]) ).
tcf(c_67083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X4))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48807]) ).
tcf(c_67084,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67083]) ).
tcf(c_67296,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(z,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_53835]) ).
tcf(c_67297,plain,
( ~ b(z,s(s(z)))
| ~ 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_67296]) ).
tcf(c_67924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_49693]) ).
tcf(c_67925,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(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_67924]) ).
tcf(c_67990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52158]) ).
tcf(c_68031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),X1)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ 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_52254]) ).
tcf(c_68032,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_68031]) ).
tcf(c_68033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52254]) ).
tcf(c_68034,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68033]) ).
tcf(c_68094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_52325]) ).
tcf(c_68554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53085]) ).
tcf(c_68571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(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_49720]) ).
tcf(c_68572,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68571]) ).
tcf(c_69085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X2))),X1)
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53873]) ).
tcf(c_69086,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69085]) ).
tcf(c_69214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54566]) ).
tcf(c_69229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54866]) ).
tcf(c_69231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ 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_54866]) ).
tcf(c_69234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X3)
| ~ 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_54866]) ).
tcf(c_69252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_54867]) ).
tcf(c_69291,plain,
! [X0: $i,X1: $i] :
( ( s(s(X1)) = s(s(s(s(s(X0))))) )
| ( s(s(X1)) != s(s(X1)) )
| ( s(s(s(s(s(X0))))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_63191]) ).
tcf(c_69292,plain,
( ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_69291]) ).
tcf(c_70244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_59372]) ).
tcf(c_70245,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_70244]) ).
tcf(c_70386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60355]) ).
tcf(c_70387,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_70386]) ).
tcf(c_70398,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62781]) ).
tcf(c_70399,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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_70398]) ).
tcf(c_70566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59023]) ).
tcf(c_70567,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_70566]) ).
tcf(c_70794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61559]) ).
tcf(c_70795,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),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(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_70794]) ).
tcf(c_70990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_59166]) ).
tcf(c_70991,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_70990]) ).
tcf(c_71095,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59918]) ).
tcf(c_71096,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_71095]) ).
tcf(c_71097,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_59918]) ).
tcf(c_71098,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_71097]) ).
tcf(c_71099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59918]) ).
tcf(c_71100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_59918]) ).
tcf(c_71144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ 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_61566]) ).
tcf(c_71145,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(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_71144]) ).
tcf(c_71164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61567]) ).
tcf(c_71210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62780]) ).
tcf(c_71376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61573]) ).
tcf(c_71377,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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_71376]) ).
tcf(c_71397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61574]) ).
tcf(c_71398,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(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_71397]) ).
tcf(c_71979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),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(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60580]) ).
tcf(c_72021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ 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_61587]) ).
tcf(c_72022,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_72021]) ).
tcf(c_72105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62727]) ).
tcf(c_72772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61699]) ).
tcf(c_72773,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_72772]) ).
tcf(c_72792,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(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61700]) ).
tcf(c_72793,plain,
( ~ b(z,s(s(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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_72792]) ).
tcf(c_73145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53193]) ).
tcf(c_73146,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)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_73145]) ).
tcf(c_73681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(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_65767]) ).
tcf(c_73682,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73681]) ).
tcf(c_73753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62744]) ).
tcf(c_73806,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(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_65874]) ).
tcf(c_73807,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_73806]) ).
tcf(c_73931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66030]) ).
tcf(c_73937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_66045]) ).
tcf(c_73962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ 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)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66145]) ).
tcf(c_73993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66219]) ).
tcf(c_73994,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73993]) ).
tcf(c_74333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_68554]) ).
tcf(c_74334,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74333]) ).
tcf(c_74810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_62795]) ).
tcf(c_74811,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_74810]) ).
tcf(c_75159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66442]) ).
tcf(c_75376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),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_66807]) ).
tcf(c_75377,plain,
( ~ b(z,s(s(s(s(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_75376]) ).
tcf(c_75882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_55475]) ).
tcf(c_75935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X3)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_56941]) ).
tcf(c_75936,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75935]) ).
tcf(c_75975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_56971]) ).
tcf(c_75998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_57363]) ).
tcf(c_76017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57404]) ).
tcf(c_76050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_57475]) ).
tcf(c_76051,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_76050]) ).
tcf(c_76099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),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_57508]) ).
tcf(c_76438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(X0),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_64396]) ).
tcf(c_76441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_64396]) ).
tcf(c_76461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X3)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66230]) ).
tcf(c_76502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66954]) ).
tcf(c_76503,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_76502]) ).
tcf(c_76867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_68094]) ).
tcf(c_77660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69085]) ).
tcf(c_77891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69214]) ).
tcf(c_77910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_69234]) ).
tcf(c_77928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69252]) ).
tcf(c_77929,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),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_77928]) ).
tcf(c_78252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54333]) ).
tcf(c_79572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_54643]) ).
tcf(c_79573,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_79572]) ).
tcf(c_79574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_54643]) ).
tcf(c_79575,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(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_79574]) ).
tcf(c_79620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X2)
| ~ b(s(s(z)),z)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_64603]) ).
tcf(c_79621,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_79620]) ).
tcf(c_79923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_54759]) ).
tcf(c_80058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54807]) ).
tcf(c_80453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_55043]) ).
tcf(c_80550,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(s(s(X0))))))
| ~ 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(X1))))) ),
inference(instantiation,[status(thm)],[c_64664]) ).
tcf(c_80551,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80550]) ).
tcf(c_80653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55150]) ).
tcf(c_80677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_55264]) ).
tcf(c_80971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(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(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_55502]) ).
tcf(c_81484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_55556]) ).
tcf(c_81485,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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81484]) ).
tcf(c_81634,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_9853]) ).
tcf(c_81635,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_81634]) ).
tcf(c_81652,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_9869]) ).
tcf(c_81653,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_81652]) ).
tcf(c_81740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_55618]) ).
tcf(c_81741,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_81740]) ).
tcf(c_81944,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_24010]) ).
tcf(c_81947,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_81944]) ).
tcf(c_82234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_56366]) ).
tcf(c_82305,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_806]) ).
tcf(c_82306,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_82305]) ).
tcf(c_82538,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_13374]) ).
tcf(c_82539,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_82538]) ).
tcf(c_84549,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(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_24259]) ).
tcf(c_84550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_17453]) ).
tcf(c_84551,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11370]) ).
tcf(c_84554,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9952]) ).
tcf(c_84555,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_9938]) ).
tcf(c_84562,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7536]) ).
tcf(c_84564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5994]) ).
tcf(c_84565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5916]) ).
tcf(c_84567,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2082]) ).
tcf(c_84568,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_4272]) ).
tcf(c_84569,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_84568]) ).
tcf(c_84570,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84567]) ).
tcf(c_84571,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84565]) ).
tcf(c_84572,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_84564]) ).
tcf(c_84573,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_84562]) ).
tcf(c_84574,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_84555]) ).
tcf(c_84575,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_84554]) ).
tcf(c_84577,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84551]) ).
tcf(c_84578,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_84550]) ).
tcf(c_84579,plain,
( ~ r(s(s(z)),z)
| ~ r(z,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_84549]) ).
tcf(c_84595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25053]) ).
tcf(c_84599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ 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_11472]) ).
tcf(c_84608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_9062]) ).
tcf(c_84610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6304]) ).
tcf(c_84613,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_7606]) ).
tcf(c_84617,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6062]) ).
tcf(c_84619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_5919]) ).
tcf(c_84621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(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(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4222]) ).
tcf(c_84624,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_84621]) ).
tcf(c_84626,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_84619]) ).
tcf(c_84627,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_84617]) ).
tcf(c_84629,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84613]) ).
tcf(c_84630,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_84610]) ).
tcf(c_84631,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_84608]) ).
tcf(c_84632,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84599]) ).
tcf(c_84633,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84595]) ).
tcf(c_85054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17407]) ).
tcf(c_85060,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_4266]) ).
tcf(c_85062,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_85060]) ).
tcf(c_85064,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_85054]) ).
tcf(c_85111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4175]) ).
tcf(c_85112,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_85111]) ).
tcf(c_85360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77891]) ).
tcf(c_85886,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_25438]) ).
tcf(c_85887,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_85886]) ).
tcf(c_86309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52092]) ).
tcf(c_86352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59733]) ).
tcf(c_86723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(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_37548]) ).
tcf(c_86724,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_86723]) ).
tcf(c_87113,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2081]) ).
tcf(c_87114,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87113]) ).
tcf(c_87175,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9914]) ).
tcf(c_87176,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87175]) ).
tcf(c_87177,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(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2861]) ).
tcf(c_87180,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_2861]) ).
tcf(c_87181,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_87180]) ).
tcf(c_87198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4171]) ).
tcf(c_87199,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87198]) ).
tcf(c_87209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4174]) ).
tcf(c_87210,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_87209]) ).
tcf(c_87215,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9952]) ).
tcf(c_87216,plain,
( ~ r(z,s(s(z)))
| ~ r(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)))))) ),
inference(instantiation,[status(thm)],[c_87215]) ).
tcf(c_87299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_87300,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(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87299]) ).
tcf(c_87303,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_1793]) ).
tcf(c_87304,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_87303]) ).
tcf(c_87364,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(z)))) ),
inference(instantiation,[status(thm)],[c_2682]) ).
tcf(c_87365,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87364]) ).
tcf(c_87408,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_5395]) ).
tcf(c_87409,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87408]) ).
tcf(c_87492,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(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7534]) ).
tcf(c_87493,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87492]) ).
tcf(c_87496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7535]) ).
tcf(c_87497,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87496]) ).
tcf(c_87540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9740]) ).
tcf(c_87541,plain,
( ~ r(s(z),s(s(z)))
| ~ r(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)))))) ),
inference(instantiation,[status(thm)],[c_87540]) ).
tcf(c_87544,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_903]) ).
tcf(c_87545,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_87544]) ).
tcf(c_87679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6285]) ).
tcf(c_87680,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87679]) ).
tcf(c_87721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(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_17453]) ).
tcf(c_87722,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87721]) ).
tcf(c_87724,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17468]) ).
tcf(c_87725,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_87724]) ).
tcf(c_87733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17474]) ).
tcf(c_87734,plain,
( ~ r(s(s(s(z))),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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_87733]) ).
tcf(c_87740,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_967]) ).
tcf(c_87741,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_87740]) ).
tcf(c_87773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_24763]) ).
tcf(c_87774,plain,
( ~ r(s(s(s(z))),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(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87773]) ).
tcf(c_87895,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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6139]) ).
tcf(c_87896,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(z)))) ),
inference(instantiation,[status(thm)],[c_87895]) ).
tcf(c_87921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7538]) ).
tcf(c_87922,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_87921]) ).
tcf(c_87938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(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_6563]) ).
tcf(c_87939,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87938]) ).
tcf(c_88021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_17966]) ).
tcf(c_88022,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_88021]) ).
tcf(c_88031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25717]) ).
tcf(c_88032,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88031]) ).
tcf(c_88035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43857]) ).
tcf(c_88036,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88035]) ).
tcf(c_88083,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(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_2673]) ).
tcf(c_88084,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_88083]) ).
tcf(c_88096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_2680]) ).
tcf(c_88097,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_88096]) ).
tcf(c_88196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3617]) ).
tcf(c_88197,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_88196]) ).
tcf(c_88239,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_10590]) ).
tcf(c_88240,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(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88239]) ).
tcf(c_88430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18247]) ).
tcf(c_88431,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(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88430]) ).
tcf(c_88432,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_18247]) ).
tcf(c_88433,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88432]) ).
tcf(c_88526,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_2864]) ).
tcf(c_88527,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_88526]) ).
tcf(c_88529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2864]) ).
tcf(c_88651,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_3585]) ).
tcf(c_88685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66205]) ).
tcf(c_88686,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(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88685]) ).
tcf(c_88704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_66425]) ).
tcf(c_88705,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_88704]) ).
tcf(c_88720,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_67990]) ).
tcf(c_88795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X2))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_71164]) ).
tcf(c_88796,plain,
( ~ b(s(z),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(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_88795]) ).
tcf(c_88837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_71979]) ).
tcf(c_88838,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(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_88837]) ).
tcf(c_88855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_72105]) ).
tcf(c_88856,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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88855]) ).
tcf(c_88909,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(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8637]) ).
tcf(c_88910,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_88909]) ).
tcf(c_89005,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_11886]) ).
tcf(c_89017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6244]) ).
tcf(c_89018,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_89017]) ).
tcf(c_89087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_73753]) ).
tcf(c_89088,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89087]) ).
tcf(c_89112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_73931]) ).
tcf(c_89113,plain,
( ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89112]) ).
tcf(c_89117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),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_73937]) ).
tcf(c_89118,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89117]) ).
tcf(c_89308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(X3))))
| ~ r(s(s(s(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_45612]) ).
tcf(c_89309,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89308]) ).
tcf(c_89377,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_76438]) ).
tcf(c_89378,plain,
( ~ b(z,s(s(s(z))))
| ~ b(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(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_89377]) ).
tcf(c_90046,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33394]) ).
tcf(c_90047,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90046]) ).
tcf(c_90105,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(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33398]) ).
tcf(c_90106,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(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90105]) ).
tcf(c_90263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(X1)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61583]) ).
tcf(c_90264,plain,
( ~ b(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(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90263]) ).
tcf(c_90295,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(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_28166]) ).
tcf(c_90296,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(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_90295]) ).
tcf(c_90334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X3))))),s(X4))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(X2)),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_61587]) ).
tcf(c_90335,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90334]) ).
tcf(c_90423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_26257]) ).
tcf(c_90433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_28804]) ).
tcf(c_90434,plain,
( ~ b(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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90433]) ).
tcf(c_90473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33400]) ).
tcf(c_90474,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90473]) ).
tcf(c_90478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33401]) ).
tcf(c_90495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),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(z)))) ),
inference(instantiation,[status(thm)],[c_37170]) ).
tcf(c_90496,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90495]) ).
tcf(c_90522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ 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_61626]) ).
tcf(c_90523,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90522]) ).
tcf(c_90560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),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(X1)))) ),
inference(instantiation,[status(thm)],[c_61694]) ).
tcf(c_90561,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90560]) ).
tcf(c_90575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62780]) ).
tcf(c_90576,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90575]) ).
tcf(c_90590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7303]) ).
tcf(c_90591,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(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_90590]) ).
tcf(c_90607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(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_61697]) ).
tcf(c_90608,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90607]) ).
tcf(c_90619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_71099]) ).
tcf(c_90620,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90619]) ).
tcf(c_90622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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(s(s(X2))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_71100]) ).
tcf(c_90623,plain,
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_90622]) ).
tcf(c_90625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ 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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_71210]) ).
tcf(c_90626,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90625]) ).
tcf(c_90661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ 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(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_76441]) ).
tcf(c_90662,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90661]) ).
tcf(c_90671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ 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_61701]) ).
tcf(c_90672,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(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_90671]) ).
tcf(c_90789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28231]) ).
tcf(c_90790,plain,
( ~ 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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90789]) ).
tcf(c_90830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37166]) ).
tcf(c_90831,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(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(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90830]) ).
tcf(c_90901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_8265]) ).
tcf(c_90902,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90901]) ).
tcf(c_90939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X0)))))
| ~ b(z,s(s(s(s(s(X2))))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_49689]) ).
tcf(c_90940,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(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_90939]) ).
tcf(c_90942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_49690]) ).
tcf(c_90943,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_90942]) ).
tcf(c_90973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(z))),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(z)))) ),
inference(instantiation,[status(thm)],[c_54390]) ).
tcf(c_90974,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90973]) ).
tcf(c_91007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62980]) ).
tcf(c_91008,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91007]) ).
tcf(c_91033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(s(X2))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_64003]) ).
tcf(c_91034,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(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_91033]) ).
tcf(c_91088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ 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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69231]) ).
tcf(c_91089,plain,
( ~ 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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91088]) ).
tcf(c_91211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(s(X3))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_62991]) ).
tcf(c_91212,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_91211]) ).
tcf(c_91219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(s(X2))))))
| ~ b(s(s(z)),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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_77660]) ).
tcf(c_91220,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91219]) ).
tcf(c_91257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_78252]) ).
tcf(c_91258,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(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91257]) ).
tcf(c_91309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_64423]) ).
tcf(c_91353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_80453]) ).
tcf(c_91354,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_91353]) ).
tcf(c_91372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80653]) ).
tcf(c_91393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ 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))) ),
inference(instantiation,[status(thm)],[c_64476]) ).
tcf(c_91394,plain,
( ~ b(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(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_91393]) ).
tcf(c_91484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(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_64591]) ).
tcf(c_91500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X2,s(X1))
| ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13013]) ).
tcf(c_91502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13013]) ).
tcf(c_91503,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(s(z))) ),
inference(instantiation,[status(thm)],[c_91502]) ).
tcf(c_91596,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(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(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_28276]) ).
tcf(c_91597,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91596]) ).
tcf(c_91598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),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_28276]) ).
tcf(c_91683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_64658]) ).
tcf(c_91684,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91683]) ).
tcf(c_91706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),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))) ),
inference(instantiation,[status(thm)],[c_39498]) ).
tcf(c_91707,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(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_91706]) ).
tcf(c_91733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(s(s(X2))))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_64663]) ).
tcf(c_91734,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91733]) ).
tcf(c_92020,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1729]) ).
tcf(c_92021,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_92020]) ).
tcf(c_92023,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1774]) ).
tcf(c_92024,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_92023]) ).
tcf(c_92166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_92167,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92166]) ).
tcf(c_92295,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25069]) ).
tcf(c_92296,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92295]) ).
tcf(c_92395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X2)))
| ~ r(s(s(X2)),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1273]) ).
tcf(c_92529,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(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_3065]) ).
tcf(c_92530,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92529]) ).
tcf(c_92589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ 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_7547]) ).
tcf(c_92590,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92589]) ).
tcf(c_92611,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11079]) ).
tcf(c_92612,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92611]) ).
tcf(c_92648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ 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_11677]) ).
tcf(c_92649,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_92648]) ).
tcf(c_92714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_18735]) ).
tcf(c_92715,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92714]) ).
tcf(c_92757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_25918]) ).
tcf(c_92758,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92757]) ).
tcf(c_92827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43863]) ).
tcf(c_92828,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92827]) ).
tcf(c_93066,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_3062]) ).
tcf(c_93299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(s(X2)))))
| ~ r(s(s(s(s(X2)))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12060]) ).
tcf(c_93300,plain,
( ~ r(z,s(s(z)))
| ~ r(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)))))) ),
inference(instantiation,[status(thm)],[c_93299]) ).
tcf(c_93322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12376]) ).
tcf(c_94621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ 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_39498]) ).
tcf(c_94628,plain,
( ~ b(z,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_94621]) ).
tcf(c_94689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_13949]) ).
tcf(c_94701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7188]) ).
tcf(c_94702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7193]) ).
tcf(c_94703,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_94702]) ).
tcf(c_94925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_73962]) ).
tcf(c_94927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_54888]) ).
tcf(c_94953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_13015]) ).
tcf(c_94959,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),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_94927]) ).
tcf(c_94960,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_94925]) ).
tcf(c_95705,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_88720]) ).
tcf(c_95706,plain,
( ~ b(z,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(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_95705]) ).
tcf(c_95745,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(s(s(X3)))))
| ~ b(s(s(s(s(X3)))),s(s(X2)))
| ~ 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_13933]) ).
tcf(c_95746,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_95745]) ).
tcf(c_95958,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(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_85360]) ).
tcf(c_95959,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95958]) ).
tcf(c_95961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85360]) ).
tcf(c_95962,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95961]) ).
tcf(c_95986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_86309]) ).
tcf(c_95987,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_95986]) ).
tcf(c_95993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(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_86352]) ).
tcf(c_95994,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(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95993]) ).
tcf(c_96142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(s(X2)))),s(s(z)))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_92529]) ).
tcf(c_96143,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96142]) ).
tcf(c_96148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ 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(s(z))))) ),
inference(instantiation,[status(thm)],[c_69229]) ).
tcf(c_96786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ 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_69234]) ).
tcf(c_96787,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(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_96786]) ).
tcf(c_96863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(z)))),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_75882]) ).
tcf(c_96864,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(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_96863]) ).
tcf(c_96871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_75975]) ).
tcf(c_97058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X3))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_93299]) ).
tcf(c_97060,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_97058]) ).
tcf(c_97121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_93322]) ).
tcf(c_97123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_93066]) ).
tcf(c_97138,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_97123]) ).
tcf(c_97139,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97121]) ).
tcf(c_97170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10665]) ).
tcf(c_97172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9427]) ).
tcf(c_97187,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_97172]) ).
tcf(c_97189,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_97170]) ).
tcf(c_97223,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_5901]) ).
tcf(c_97230,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(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_19423]) ).
tcf(c_97231,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_97230]) ).
tcf(c_97301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_97302,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97301]) ).
tcf(c_97597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_30576]) ).
tcf(c_97599,plain,
( ~ 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))))
| ~ 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_97597]) ).
tcf(c_97612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ 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_23260]) ).
tcf(c_97613,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(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_97612]) ).
tcf(c_97628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X2))))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ 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_48801]) ).
tcf(c_97635,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(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_97628]) ).
tcf(c_97829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_30162]) ).
tcf(c_97833,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97829]) ).
tcf(c_98274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6941]) ).
tcf(c_98277,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98274]) ).
tcf(c_98292,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(X1)))) ),
inference(instantiation,[status(thm)],[c_88651]) ).
tcf(c_98304,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_98292]) ).
tcf(c_98555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_18048]) ).
tcf(c_98556,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98555]) ).
tcf(c_98649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3239]) ).
tcf(c_98650,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98649]) ).
tcf(c_98651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X2)))))
| ~ r(s(s(s(s(X2)))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_98652,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98651]) ).
tcf(c_98662,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(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_88529]) ).
tcf(c_98663,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(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98662]) ).
tcf(c_98669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X3))
| ~ r(s(s(X1)),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_89005]) ).
tcf(c_98670,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_98669]) ).
tcf(c_98754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_80058]) ).
tcf(c_98756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_90478]) ).
tcf(c_98757,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_98756]) ).
tcf(c_98759,plain,
( ~ b(z,s(s(z)))
| ~ b(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_98754]) ).
tcf(c_98909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_90473]) ).
tcf(c_98910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_90423]) ).
tcf(c_98913,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98910]) ).
tcf(c_98914,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_98909]) ).
tcf(c_99878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X1))))
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(X1))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_94953]) ).
tcf(c_99887,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99878]) ).
tcf(c_99916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_94689]) ).
tcf(c_99922,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_99916]) ).
tcf(c_100099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(z))),s(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(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91372]) ).
tcf(c_100107,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ 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_100099]) ).
tcf(c_100567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38729]) ).
tcf(c_100569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20386]) ).
tcf(c_100571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41433]) ).
tcf(c_100576,plain,
( ~ b(z,s(z))
| ~ b(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)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_100571]) ).
tcf(c_100577,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_100569]) ).
tcf(c_100579,plain,
( ~ b(s(s(z)),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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_100567]) ).
tcf(c_100647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30116]) ).
tcf(c_100666,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_100647]) ).
tcf(c_100982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),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))) ),
inference(instantiation,[status(thm)],[c_28338]) ).
tcf(c_100995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ 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(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_75998]) ).
tcf(c_101004,plain,
( ~ b(s(z),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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_100995]) ).
tcf(c_101006,plain,
( ~ b(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(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_100982]) ).
tcf(c_101588,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7542]) ).
tcf(c_101594,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_101588]) ).
tcf(c_101661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2600]) ).
tcf(c_101669,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_101661]) ).
tcf(c_102048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4960]) ).
tcf(c_102056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(X1)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61586]) ).
tcf(c_102057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X2))))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X1)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61585]) ).
tcf(c_102062,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102057]) ).
tcf(c_102063,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102056]) ).
tcf(c_102106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ 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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_91500]) ).
tcf(c_102131,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),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(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102106]) ).
tcf(c_102161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(s(s(X3))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X2,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_94701]) ).
tcf(c_102165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(s(X3))))),z)
| ~ b(X2,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20407]) ).
tcf(c_102170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X0)
| ~ b(s(s(X3)),X0)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X0,s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_3844]) ).
tcf(c_102177,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(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102165]) ).
tcf(c_102179,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_102161]) ).
tcf(c_102206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7228]) ).
tcf(c_102211,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(X1))))))
| ~ 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_62773]) ).
tcf(c_102216,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_102211]) ).
tcf(c_102219,plain,
( ~ b(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(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_102206]) ).
tcf(c_102233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_91598]) ).
tcf(c_102251,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102233]) ).
tcf(c_102272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53864]) ).
tcf(c_102296,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_102272]) ).
tcf(c_102310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X3)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),z)
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_76461]) ).
tcf(c_102316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22045]) ).
tcf(c_102327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ 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_80971]) ).
tcf(c_102329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_79923]) ).
tcf(c_102334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X2))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_75159]) ).
tcf(c_102342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(X2))))),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_91484]) ).
tcf(c_102343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(s(X2))))),z)
| ~ b(X1,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_91309]) ).
tcf(c_102369,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_102343]) ).
tcf(c_102370,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102342]) ).
tcf(c_102373,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102334]) ).
tcf(c_102374,plain,
( ~ b(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(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_102329]) ).
tcf(c_102375,plain,
( ~ b(z,s(s(s(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(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_102327]) ).
tcf(c_102376,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(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102316]) ).
tcf(c_102377,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102310]) ).
tcf(c_102386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(s(X3))))),z)
| ~ b(X2,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14445]) ).
tcf(c_102387,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(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102386]) ).
tcf(c_102403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39568]) ).
tcf(c_102406,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(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_102403]) ).
tcf(c_102418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X2)))),s(s(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_20307]) ).
tcf(c_102419,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(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102418]) ).
tcf(c_102448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ 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_76867]) ).
tcf(c_102449,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102448]) ).
tcf(c_102450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ 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_76099]) ).
tcf(c_102452,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_102450]) ).
tcf(c_102630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_87177]) ).
tcf(c_102632,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_102630]) ).
tcf(c_102638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(z,s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43711]) ).
tcf(c_102642,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102638]) ).
tcf(c_102647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(z,s(s(s(s(s(X2))))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6799]) ).
tcf(c_102648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6798]) ).
tcf(c_102649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(X2))))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4420]) ).
tcf(c_102657,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102649]) ).
tcf(c_102658,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102648]) ).
tcf(c_102659,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102647]) ).
tcf(c_102661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_92395]) ).
tcf(c_102668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2780]) ).
tcf(c_102671,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102668]) ).
tcf(c_102672,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_102661]) ).
tcf(c_102725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(X2)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5451]) ).
tcf(c_102726,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_102725]) ).
tcf(c_102737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5101]) ).
tcf(c_102738,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_102737]) ).
tcf(c_102849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(X2,s(s(s(s(s(X3))))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6938]) ).
tcf(c_102858,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102849]) ).
tcf(c_102984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5175]) ).
tcf(c_102989,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102984]) ).
tcf(c_103085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_55180]) ).
tcf(c_103106,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(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_103085]) ).
tcf(c_103134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23460]) ).
tcf(c_103135,plain,
( ~ 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))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_103134]) ).
tcf(c_103449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5215]) ).
tcf(c_103450,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_103449]) ).
tcf(c_103864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_97223]) ).
tcf(c_103865,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_103864]) ).
tcf(c_104102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64896]) ).
tcf(c_104103,plain,
( ~ 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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104102]) ).
tcf(c_104162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_80677]) ).
tcf(c_104163,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_104162]) ).
tcf(c_104181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96148]) ).
tcf(c_104182,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104181]) ).
tcf(c_104525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_82234]) ).
tcf(c_104526,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_104525]) ).
tcf(c_104685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42106]) ).
tcf(c_104686,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104685]) ).
tcf(c_104776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_76017]) ).
tcf(c_104777,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(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_104776]) ).
tcf(c_104808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(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(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77910]) ).
tcf(c_104809,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104808]) ).
tcf(c_104973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96871]) ).
tcf(c_104974,plain,
( ~ 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(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104973]) ).
tcf(c_105052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(X3))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X2,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_102048]) ).
tcf(c_105053,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105052]) ).
tcf(c_105081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(s(X3))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X2,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_102170]) ).
tcf(c_105082,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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_105081]) ).
tcf(c_105117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X3)))),s(z))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_20305]) ).
tcf(c_105118,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_105117]) ).
tcf(c_105124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_20772]) ).
tcf(c_105125,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105124]) ).
tcf(c_105145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ 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_20880]) ).
tcf(c_105146,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(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_105145]) ).
tcf(c_105233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23233]) ).
tcf(c_105234,plain,
( ~ b(z,s(s(z)))
| ~ b(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_105233]) ).
tcf(c_105258,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_105234,c_105146,c_105125,c_105118,c_105082,c_105053,c_104974,c_104809,c_104777,c_104686,c_104526,c_104182,c_104163,c_104103,c_103865,c_103450,c_103135,c_103106,c_102989,c_102858,c_102738,c_102726,c_102672,c_102671,c_102659,c_102658,c_102657,c_102642,c_102632,c_102452,c_102449,c_102419,c_102406,c_102387,c_102377,c_102376,c_102375,c_102374,c_102373,c_102370,c_102369,c_102296,c_102251,c_102219,c_102216,c_102179,c_102177,c_102131,c_102063,c_102062,c_101669,c_101594,c_101006,c_101004,c_100666,c_100579,c_100577,c_100576,c_100107,c_99922,c_99887,c_98914,c_98913,c_98759,c_98757,c_98670,c_98663,c_98652,c_98650,c_98556,c_98304,c_98277,c_97833,c_97635,c_97613,c_97599,c_97302,c_97231,c_97189,c_97187,c_97139,c_97138,c_97060,c_96864,c_96787,c_96143,c_95994,c_95987,c_95962,c_95959,c_95746,c_95706,c_94960,c_94959,c_94703,c_94628,c_93300,c_92828,c_92758,c_92715,c_92649,c_92612,c_92590,c_92530,c_92296,c_92167,c_92024,c_92021,c_91734,c_91707,c_91684,c_91597,c_91503,c_91394,c_91354,c_91258,c_91220,c_91212,c_91089,c_91034,c_91008,c_90974,c_90943,c_90940,c_90902,c_90831,c_90790,c_90672,c_90662,c_90626,c_90623,c_90620,c_90608,c_90591,c_90576,c_90561,c_90523,c_90496,c_90474,c_90434,c_90335,c_90296,c_90264,c_90106,c_90047,c_89378,c_89309,c_89118,c_89113,c_89088,c_89018,c_88910,c_88856,c_88838,c_88796,c_88705,c_88686,c_88527,c_88433,c_88431,c_88240,c_88197,c_88097,c_88084,c_88036,c_88032,c_88022,c_87939,c_87922,c_87896,c_87774,c_87741,c_87734,c_87725,c_87722,c_87680,c_87545,c_87541,c_87497,c_87493,c_87409,c_87365,c_87304,c_87300,c_87216,c_87210,c_87199,c_87181,c_87176,c_87114,c_86724,c_85887,c_85112,c_85064,c_85062,c_84633,c_84632,c_84631,c_84630,c_84629,c_84627,c_84626,c_84624,c_84579,c_84578,c_84577,c_84575,c_84574,c_84573,c_84572,c_84571,c_84570,c_84569,c_82539,c_82306,c_81947,c_81741,c_81653,c_81635,c_81485,c_80551,c_79621,c_79575,c_79573,c_77929,c_76503,c_76051,c_75936,c_75377,c_74811,c_74334,c_73994,c_73807,c_73682,c_73146,c_72793,c_72773,c_72022,c_71398,c_71377,c_71145,c_71098,c_71096,c_70991,c_70795,c_70567,c_70399,c_70387,c_70245,c_69292,c_69086,c_68572,c_68034,c_68032,c_67925,c_67297,c_67084,c_66997,c_66774,c_66336,c_66271,c_66218,c_66185,c_66122,c_64903,c_64636,c_64233,c_63866,c_63857,c_63853,c_63850,c_63844,c_63197,c_62818,c_61756,c_61719,c_61636,c_61632,c_61597,c_61592,c_61254,c_59584,c_59559,c_59554,c_59167,c_59045,c_59043,c_58821,c_58819,c_57816,c_57419,c_55541,c_55449,c_55262,c_54911,c_54715,c_54672,c_54405,c_54055,c_54007,c_53874,c_53448,c_53158,c_52607,c_52063,c_51885,c_49745,c_48839,c_48836,c_48835,c_46863,c_46846,c_46648,c_45793,c_45781,c_45685,c_45671,c_45613,c_45447,c_45359,c_45345,c_45295,c_45277,c_45190,c_45056,c_45029,c_45017,c_44964,c_44752,c_44709,c_44681,c_44592,c_44326,c_44274,c_44184,c_44169,c_44107,c_44090,c_43970,c_43699,c_43686,c_43603,c_43358,c_43218,c_43199,c_43096,c_43028,c_43008,c_43003,c_42302,c_41802,c_41676,c_40977,c_40865,c_39321,c_39063,c_39005,c_38730,c_38038,c_38024,c_37084,c_36672,c_36460,c_35026,c_35024,c_35023,c_35022,c_35021,c_35019,c_35018,c_35017,c_35016,c_35015,c_35011,c_35009,c_35008,c_35007,c_35006,c_35004,c_35002,c_35001,c_35000,c_34996,c_34995,c_34274,c_34273,c_34271,c_34222,c_34219,c_34217,c_34215,c_34214,c_34213,c_34211,c_34209,c_34208,c_34207,c_34206,c_34205,c_34204,c_34203,c_34202,c_34201,c_34200,c_34199,c_34198,c_34197,c_34191,c_33399,c_33395,c_33320,c_33212,c_30641,c_30245,c_29340,c_29057,c_29052,c_27805,c_27792,c_27120,c_26949,c_25950,c_24916,c_24834,c_23938,c_23916,c_22860,c_22288,c_21732,c_21625,c_20844,c_20605,c_19661,c_18761,c_18503,c_18316,c_18230,c_17549,c_17454,c_17431,c_17213,c_16546,c_16528,c_15358,c_14874,c_14708,c_14267,c_14172,c_13934,c_13818,c_13375,c_13145,c_12869,c_12366,c_12317,c_12172,c_12162,c_12141,c_11860,c_11824,c_11762,c_11691,c_11419,c_11335,c_11240,c_10726,c_10666,c_10600,c_10305,c_10097,c_10007,c_9953,c_9915,c_9861,c_9854,c_9846,c_9463,c_9436,c_8703,c_8630,c_8387,c_7791,c_7607,c_7583,c_7548,c_7544,c_7308,c_7300,c_7198,c_7197,c_6998,c_6888,c_6830,c_6814,c_6750,c_6648,c_6312,c_6245,c_6085,c_6070,c_5998,c_5975,c_5920,c_5917,c_5835,c_5716,c_5397,c_5100,c_5097,c_4597,c_4552,c_4496,c_4422,c_4342,c_4271,c_4251,c_4249,c_4229,c_4176,c_4063,c_4062,c_4054,c_4043,c_4042,c_4041,c_4030,c_4029,c_4025,c_4019,c_4000,c_3689,c_3653,c_3522,c_3404,c_3180,c_3051,c_2899,c_2730,c_2683,c_2681,c_2676,c_2674,c_2554,c_2533,c_2530,c_2489,c_2478,c_2409,c_2406,c_2090,c_2089,c_2087,c_2086,c_1990,c_1841,c_1776,c_1707,c_1621,c_1552,c_1495,c_1487,c_1314,c_1284,c_1090,c_1089,c_980,c_959,c_874,c_827,c_813,c_807,c_760,c_719,c_654,c_581,c_541,c_485,c_403,c_388,c_361,c_283,c_270,c_253,c_252,c_249,c_241,c_233,c_215,c_210,c_209,c_205,c_204,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA145-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.36 % Computer : n014.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Wed Sep 23 13:00:53 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.42 % Proving...
% 22.03/9.77 % SZS status Started for theBenchmark.p
% 22.03/9.77 % SZS status Unsatisfiable for theBenchmark.p
% 22.03/9.77
% 22.03/9.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.03/9.77
% 22.03/9.77 % ------ iProver source info
% 22.03/9.77
% 22.03/9.77 % git: date: 2026-07-19 20:42:38 +0200
% 22.03/9.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.03/9.77 % git: non_committed_changes: false
% 22.03/9.77
% 22.03/9.77 % ------ Parsing...% successful
% 22.03/9.77
% 22.03/9.77
% 22.03/9.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.03/9.77
% 22.03/9.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 22.03/9.77
% 22.03/9.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.03/9.77
% 22.03/9.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.03/9.77 % ------ Proving...
% 22.03/9.77 % ------ Problem Properties
% 22.03/9.77
% 22.03/9.77 %
% 22.03/9.77 % clauses 7
% 22.03/9.77 % conjectures 0
% 22.03/9.77 % EPR 5
% 22.03/9.77 % Horn 6
% 22.03/9.77 % unary 3
% 22.03/9.77 % binary 1
% 22.03/9.77 % lits 18
% 22.03/9.77 % lits eq 4
% 22.03/9.77 % fd_pure 0
% 22.03/9.77 % fd_pseudo 0
% 22.03/9.77 % fd_cond 0
% 22.03/9.77 % fd_pseudo_cond 2
% 22.03/9.77 % AC symbols 0
% 22.03/9.77
% 22.03/9.77 % ------ Input Options Time Limit: Unbounded
% 22.03/9.77
% 22.03/9.77
% 22.03/9.77 % ------
% 22.03/9.77 % Current options:
% 22.03/9.77 % ------
% 22.03/9.77
% 22.03/9.77
% 22.03/9.77 %
% 22.03/9.77
% 22.03/9.77 % ------ Proving...
% 22.03/9.77 %
% 22.03/9.77
% 22.03/9.77 % SZS status Unsatisfiable for theBenchmark.p
% 22.03/9.77
% 22.03/9.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.03/9.80
% 22.03/9.80
%------------------------------------------------------------------------------