%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA167-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : 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 01:24:27 PM UTC 2026
% Result : Unsatisfiable 27.26s 5.31s
% Output : CNFRefutation 27.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 1218 ( 26 unt; 0 def)
% Number of atoms : 6173 ( 283 equ)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 10753 (5798 ~;4955 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2942 ( 0 sgn2942 !; 0 ?;2928 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X0,X4)
| ~ b(X1,X3)
| ~ b(X0,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_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] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X3)
| ~ b(X1,X4)
| ~ b(X1,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_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_211,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_109]) ).
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] :
( ~ r(X0,z)
| ~ r(s(X1),z)
| ~ 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] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_240,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_241,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_242,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_245,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_249,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_250,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_251,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_252,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_254,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_255,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_256,plain,
( b(z,s(z))
| r(z,s(z))
| ( z = s(z) ) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_257,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(X1) )
| ( s(X0) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_281,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_245]) ).
tcf(c_282,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_281]) ).
tcf(c_283,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_245]) ).
tcf(c_284,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_245]) ).
tcf(c_285,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_331,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_245]) ).
tcf(c_332,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_270]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(s(X1),z)
| ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_272]) ).
tcf(c_350,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_285]) ).
tcf(c_359,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_285]) ).
tcf(c_365,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_366,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_376,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_377,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_376]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_383,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_391,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_283]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(X1)))
| r(X0,s(s(X1)))
| ( X0 = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_402,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_284]) ).
tcf(c_477,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_478,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_506,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_507,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_506]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_551,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_576,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_577,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_576]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_614,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_359]) ).
tcf(c_615,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_402]) ).
tcf(c_616,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_615]) ).
tcf(c_642,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_396]) ).
tcf(c_662,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_663,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_109,c_107]) ).
tcf(c_715,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_716,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_715]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(X1)) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_722,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_736,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_737,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_736]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(X1))))
| r(X0,s(s(s(X1))))
| ( X0 = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_750,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_749]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_663,c_60]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_554]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_827,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_757,c_56]) ).
tcf(c_828,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_529]) ).
tcf(c_852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(s(X4),X3)
| ~ b(s(X1),X2)
| ~ b(s(X1),s(X4))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_272]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(X3))
| ~ b(s(X3),s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,X3)
| ~ b(s(z),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_274]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(X1)) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_614]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(s(X1))))
| r(s(s(X0)),s(s(s(X1))))
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_1103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(X3))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_1114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_854]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_859]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(z),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_853]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,X1)
| ~ b(X1,X2)
| ~ b(s(z),X2)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_1175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_860]) ).
tcf(c_1181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_865]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,X2)
| ~ b(X2,X3)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_865]) ).
tcf(c_1190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_869]) ).
tcf(c_1196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_869]) ).
tcf(c_1215,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_1219,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_1220,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1219]) ).
tcf(c_1243,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_748]) ).
tcf(c_1244,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_1243]) ).
tcf(c_1362,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_662,c_60]) ).
tcf(c_1363,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_662,c_757]) ).
tcf(c_1390,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_1391,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1390]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X1)
| ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_1401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1114]) ).
tcf(c_1413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1114]) ).
tcf(c_1421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1116]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X3),X2)
| ~ 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_1175]) ).
tcf(c_1448,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_1362,c_57]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_745]) ).
tcf(c_1487,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_1488,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(X1))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1055]) ).
tcf(c_1503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(z,s(s(X0)))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1183]) ).
tcf(c_1510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X1)
| ~ b(X2,z)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1194]) ).
tcf(c_1513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1144]) ).
tcf(c_1514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(z),s(X2))
| ~ b(s(X1),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1144]) ).
tcf(c_1519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1144]) ).
tcf(c_1529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(s(X3),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_1532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(s(X4),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_1539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_1554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1196]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1196]) ).
tcf(c_1560,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_214]) ).
tcf(c_1561,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1560]) ).
tcf(c_1571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_1589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,X3)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1193]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1193]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( X1 != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1486]) ).
tcf(c_1762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_1483]) ).
tcf(c_1801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1513]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1413]) ).
tcf(c_1820,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1819]) ).
tcf(c_1830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1421]) ).
tcf(c_1831,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_1830]) ).
tcf(c_1835,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_251]) ).
tcf(c_1836,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_1835]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(X2,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1510]) ).
tcf(c_1850,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_1488]) ).
tcf(c_1851,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_1850]) ).
tcf(c_1856,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(X1))) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_886]) ).
tcf(c_1871,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(X0))))
| r(s(s(s(z))),s(s(s(X0))))
| ( s(s(s(z))) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1488]) ).
tcf(c_1894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1532]) ).
tcf(c_1896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1532]) ).
tcf(c_1901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1193]) ).
tcf(c_1902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1177]) ).
tcf(c_1906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(s(X0),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_1918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X1),X3)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X1)))
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1514]) ).
tcf(c_1936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_865]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1196]) ).
tcf(c_1943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1529]) ).
tcf(c_1958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1503]) ).
tcf(c_1972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1539]) ).
tcf(c_1985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(X3,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1557]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1593]) ).
tcf(c_2054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1181]) ).
tcf(c_2056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1181]) ).
tcf(c_2060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1571]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1594]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_2081,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_284]) ).
tcf(c_2082,plain,
( b(s(s(s(z))),s(z))
| r(s(s(s(z))),s(z))
| ( s(s(s(z))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_2081]) ).
tcf(c_2096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1554]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,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_1584]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1584]) ).
tcf(c_2105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1589]) ).
tcf(c_2136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1399]) ).
tcf(c_2149,plain,
! [X0: $i] :
( b(s(z),s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_2186,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_217]) ).
tcf(c_2196,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_575]) ).
tcf(c_2203,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(z))
| r(s(s(s(X0))),s(z))
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_2207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_244]) ).
tcf(c_2383,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_1856]) ).
tcf(c_2384,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_2383]) ).
tcf(c_2394,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1856]) ).
tcf(c_2395,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_2394]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2186]) ).
tcf(c_2429,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2428]) ).
tcf(c_2434,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_2435,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2434]) ).
tcf(c_2484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_2070]) ).
tcf(c_2485,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_2484]) ).
tcf(c_2486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2070]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2073]) ).
tcf(c_2514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2073]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_2523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_2529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2214]) ).
tcf(c_2530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2214]) ).
tcf(c_2546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1801]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_554]) ).
tcf(c_2565,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1484]) ).
tcf(c_2569,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_2565]) ).
tcf(c_2639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_2642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_2654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(s(X0),X2)
| ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_2655,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_2654]) ).
tcf(c_2656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_2696,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_1363,c_57]) ).
tcf(c_2717,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),X2)
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1906]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_2729,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(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1919]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1919]) ).
tcf(c_2746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1958]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(X1))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1985]) ).
tcf(c_2782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1936]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1972]) ).
tcf(c_2807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2030]) ).
tcf(c_2813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2098]) ).
tcf(c_2815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ 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_2098]) ).
tcf(c_2826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2054]) ).
tcf(c_2834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2060]) ).
tcf(c_2863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(X0)),X3)
| ~ 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_2056]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2056]) ).
tcf(c_2895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2064]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ 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_1972]) ).
tcf(c_2897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1940]) ).
tcf(c_2900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_2901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(z),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1120]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1532]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2030]) ).
tcf(c_2957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2096]) ).
tcf(c_2958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(s(X1))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2096]) ).
tcf(c_2961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_2962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2105]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(s(X2),z)
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1557]) ).
tcf(c_3075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1519]) ).
tcf(c_3146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1943]) ).
tcf(c_3152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_3230,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1762]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_3262,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1487]) ).
tcf(c_3335,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_1870]) ).
tcf(c_3336,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_1488]) ).
tcf(c_3337,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_3336]) ).
tcf(c_3338,plain,
( ( s(s(s(s(s(z))))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_3335]) ).
tcf(c_3362,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1871]) ).
tcf(c_3363,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_3362]) ).
tcf(c_3557,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_642]) ).
tcf(c_3558,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_3557]) ).
tcf(c_3565,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_736]) ).
tcf(c_3566,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_3565]) ).
tcf(c_3597,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_1488]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i] :
( ~ 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_2434]) ).
tcf(c_3639,plain,
! [X0: $i] :
( ~ 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_2567]) ).
tcf(c_3640,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3639]) ).
tcf(c_3670,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3230]) ).
tcf(c_3671,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3670]) ).
tcf(c_3672,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(X1)))))
| r(X0,s(s(s(s(X1)))))
| ( X0 = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_748]) ).
tcf(c_3675,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3230]) ).
tcf(c_3676,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3675]) ).
tcf(c_3685,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2564]) ).
tcf(c_3686,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3685]) ).
tcf(c_3694,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3233]) ).
tcf(c_3699,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3262]) ).
tcf(c_3700,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3699]) ).
tcf(c_3707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2484]) ).
tcf(c_3708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_2484]) ).
tcf(c_3713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_2486]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2523]) ).
tcf(c_3747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_3801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2782]) ).
tcf(c_3849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2639]) ).
tcf(c_3866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2792]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2895]) ).
tcf(c_3943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2896]) ).
tcf(c_3945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2896]) ).
tcf(c_4024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2642]) ).
tcf(c_4026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2897]) ).
tcf(c_4065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),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_2652]) ).
tcf(c_4080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2643]) ).
tcf(c_4083,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(X3),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2643]) ).
tcf(c_4094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2900]) ).
tcf(c_4102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ 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_2917]) ).
tcf(c_4103,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4102]) ).
tcf(c_4104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2917]) ).
tcf(c_4105,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4104]) ).
tcf(c_4130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2729]) ).
tcf(c_4150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2746]) ).
tcf(c_4161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2656]) ).
tcf(c_4179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2931]) ).
tcf(c_4180,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4179]) ).
tcf(c_4220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),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_2815]) ).
tcf(c_4221,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4220]) ).
tcf(c_4280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2717]) ).
tcf(c_4281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2717]) ).
tcf(c_4290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3146]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3152]) ).
tcf(c_4326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2863]) ).
tcf(c_4344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2961]) ).
tcf(c_4368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2983]) ).
tcf(c_4396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),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_2724]) ).
tcf(c_4433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2730]) ).
tcf(c_4434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2730]) ).
tcf(c_4445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_4446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_4447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_4481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ 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_2826]) ).
tcf(c_4509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ 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_2834]) ).
tcf(c_4517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_4522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ 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_2958]) ).
tcf(c_4535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2962]) ).
tcf(c_4550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2972]) ).
tcf(c_4583,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2529]) ).
tcf(c_4602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2530]) ).
tcf(c_4716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2807]) ).
tcf(c_4719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1896]) ).
tcf(c_4788,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_1835]) ).
tcf(c_4789,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_4788]) ).
tcf(c_4798,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_2149]) ).
tcf(c_4799,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_4798]) ).
tcf(c_4892,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_2203]) ).
tcf(c_4893,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_4892]) ).
tcf(c_4988,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3670]) ).
tcf(c_5083,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_3707]) ).
tcf(c_5085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_3707]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_3708]) ).
tcf(c_5142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4583]) ).
tcf(c_5175,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_3672]) ).
tcf(c_5245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3801]) ).
tcf(c_5358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2807]) ).
tcf(c_5361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1896]) ).
tcf(c_5377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ 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_4716]) ).
tcf(c_5378,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(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_5377]) ).
tcf(c_5389,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_281]) ).
tcf(c_5390,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_5389]) ).
tcf(c_5429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3849]) ).
tcf(c_5443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ 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(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4719]) ).
tcf(c_5445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(z))),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_4719]) ).
tcf(c_5484,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_3713]) ).
tcf(c_5485,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_3728]) ).
tcf(c_5486,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_3614]) ).
tcf(c_5487,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_3262]) ).
tcf(c_5488,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_2567]) ).
tcf(c_5489,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_2566]) ).
tcf(c_5491,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1753]) ).
tcf(c_5492,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5491]) ).
tcf(c_5493,plain,
( ~ r(z,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_5489]) ).
tcf(c_5494,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5488]) ).
tcf(c_5495,plain,
( ~ 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_5487]) ).
tcf(c_5496,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5486]) ).
tcf(c_5497,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5485]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3713]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3728]) ).
tcf(c_5550,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3614]) ).
tcf(c_5551,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3262]) ).
tcf(c_5552,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2567]) ).
tcf(c_5553,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2566]) ).
tcf(c_5557,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5553]) ).
tcf(c_5558,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5552]) ).
tcf(c_5559,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5551]) ).
tcf(c_5560,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5550]) ).
tcf(c_5561,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5549]) ).
tcf(c_5680,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_1448,c_56]) ).
tcf(c_5740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X0)),X4)
| ~ 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_4396]) ).
tcf(c_5783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),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_3866]) ).
tcf(c_5794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4446]) ).
tcf(c_5802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X2)))
| ~ 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_4447]) ).
tcf(c_5817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4550]) ).
tcf(c_5819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4550]) ).
tcf(c_5828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ 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_3943]) ).
tcf(c_5860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(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_4065]) ).
tcf(c_5890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4094]) ).
tcf(c_5913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ 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_4102]) ).
tcf(c_5917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ 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_4102]) ).
tcf(c_5918,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5917]) ).
tcf(c_5936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4130]) ).
tcf(c_5959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4179]) ).
tcf(c_5983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3931]) ).
tcf(c_6026,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(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4280]) ).
tcf(c_6047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4290]) ).
tcf(c_6084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4344]) ).
tcf(c_6094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ 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_3945]) ).
tcf(c_6126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4368]) ).
tcf(c_6160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4433]) ).
tcf(c_6173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4445]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4026]) ).
tcf(c_6246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4302]) ).
tcf(c_6264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ 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_4481]) ).
tcf(c_6295,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_5680,c_59]) ).
tcf(c_6296,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6295]) ).
tcf(c_6305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4161]) ).
tcf(c_6306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ 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_4161]) ).
tcf(c_6308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4161]) ).
tcf(c_6313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4281]) ).
tcf(c_6324,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(X0)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4509]) ).
tcf(c_6348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4104]) ).
tcf(c_6371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4517]) ).
tcf(c_6373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4517]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4522]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4522]) ).
tcf(c_6385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4522]) ).
tcf(c_6431,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_3557]) ).
tcf(c_6432,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_6431]) ).
tcf(c_6466,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5484]) ).
tcf(c_6467,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6466]) ).
tcf(c_6469,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_2081]) ).
tcf(c_6470,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_6469]) ).
tcf(c_6496,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5485]) ).
tcf(c_6497,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6496]) ).
tcf(c_6501,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(s(s(X1))))))
| r(s(X0),s(s(s(s(s(X1))))))
| ( s(X0) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_6502,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_6501]) ).
tcf(c_6607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5083]) ).
tcf(c_6608,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6607]) ).
tcf(c_6615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_5085]) ).
tcf(c_6616,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))))) ),
inference(instantiation,[status(thm)],[c_6615]) ).
tcf(c_6715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ 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_5358]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5358]) ).
tcf(c_6737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ 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_5429]) ).
tcf(c_6738,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_6737]) ).
tcf(c_6739,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5429]) ).
tcf(c_6775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(s(X1))),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_5245]) ).
tcf(c_6797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X1))),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_5361]) ).
tcf(c_6809,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_6810,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_6809]) ).
tcf(c_6878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),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_5377]) ).
tcf(c_7076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1894]) ).
tcf(c_7077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1896]) ).
tcf(c_7258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1896]) ).
tcf(c_7287,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_3597]) ).
tcf(c_7351,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_4788]) ).
tcf(c_7352,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_7351]) ).
tcf(c_7406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5445]) ).
tcf(c_7520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5817]) ).
tcf(c_7523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5817]) ).
tcf(c_7531,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(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5819]) ).
tcf(c_7569,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(X0))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ 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_5802]) ).
tcf(c_7586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5740]) ).
tcf(c_7635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5828]) ).
tcf(c_7659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ 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_5860]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(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_5860]) ).
tcf(c_7662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ 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_5860]) ).
tcf(c_7712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X2)),s(s(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_5783]) ).
tcf(c_7732,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_5175]) ).
tcf(c_7733,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_7732]) ).
tcf(c_7762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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_5794]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5936]) ).
tcf(c_7823,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(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5959]) ).
tcf(c_7946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6047]) ).
tcf(c_7967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6084]) ).
tcf(c_8081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6126]) ).
tcf(c_8094,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(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6160]) ).
tcf(c_8103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6173]) ).
tcf(c_8137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6246]) ).
tcf(c_8168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_6305]) ).
tcf(c_8226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6380]) ).
tcf(c_8246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(s(X0))),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_6306]) ).
tcf(c_8257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6308]) ).
tcf(c_8258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6308]) ).
tcf(c_8311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6324]) ).
tcf(c_8339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5983]) ).
tcf(c_8362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6094]) ).
tcf(c_8374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ 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_6194]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6194]) ).
tcf(c_8407,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(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6371]) ).
tcf(c_8463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),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_6373]) ).
tcf(c_8493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6348]) ).
tcf(c_8495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6348]) ).
tcf(c_8525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6382]) ).
tcf(c_8613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ 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_6607]) ).
tcf(c_8616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_6607]) ).
tcf(c_8621,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6496]) ).
tcf(c_8622,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8621]) ).
tcf(c_8734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6737]) ).
tcf(c_8752,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_1607]) ).
tcf(c_8753,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_8752]) ).
tcf(c_8774,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = X1 )
| ( X1 != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_1607]) ).
tcf(c_9008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X0))),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_8168]) ).
tcf(c_9064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(X2)),s(X1))
| ~ 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(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5443]) ).
tcf(c_9065,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9064]) ).
tcf(c_9085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ 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_6715]) ).
tcf(c_9113,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| ( s(s(s(s(s(X0))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_6469]) ).
tcf(c_9114,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_9113]) ).
tcf(c_9257,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_6501]) ).
tcf(c_9258,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_9257]) ).
tcf(c_9426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7077]) ).
tcf(c_9454,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(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_7659]) ).
tcf(c_9572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),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_6878]) ).
tcf(c_9618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7258]) ).
tcf(c_9822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6775]) ).
tcf(c_9939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ 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_7406]) ).
tcf(c_9954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7520]) ).
tcf(c_10243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(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_7661]) ).
tcf(c_10244,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_10243]) ).
tcf(c_10270,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(X1)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7569]) ).
tcf(c_10294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7635]) ).
tcf(c_10331,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(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7662]) ).
tcf(c_10372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3747]) ).
tcf(c_10373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_4602]) ).
tcf(c_10375,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2434]) ).
tcf(c_10376,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1487]) ).
tcf(c_10377,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_10378,plain,
! [X0: $i,X1: $i] :
( ~ 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_1484]) ).
tcf(c_10379,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10378]) ).
tcf(c_10380,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10377]) ).
tcf(c_10381,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10376]) ).
tcf(c_10382,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10375]) ).
tcf(c_10469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7818]) ).
tcf(c_10608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7946]) ).
tcf(c_10635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7967]) ).
tcf(c_10689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8246]) ).
tcf(c_10704,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(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8258]) ).
tcf(c_10705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8258]) ).
tcf(c_10725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8081]) ).
tcf(c_10727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8081]) ).
tcf(c_10745,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(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ 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_8094]) ).
tcf(c_10751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8103]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(X3))))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8311]) ).
tcf(c_10800,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(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8311]) ).
tcf(c_10811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(z))))
| ~ 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(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8463]) ).
tcf(c_10813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8463]) ).
tcf(c_10816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ 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_8463]) ).
tcf(c_10849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),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_8226]) ).
tcf(c_10910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(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_7712]) ).
tcf(c_10951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(X1),s(s(s(z))))
| ~ 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_8374]) ).
tcf(c_11007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7531]) ).
tcf(c_11015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X0)),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_7531]) ).
tcf(c_11016,plain,
( ~ b(z,s(s(z)))
| ~ b(s(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_11015]) ).
tcf(c_11029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_814]) ).
tcf(c_11031,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_759]) ).
tcf(c_11034,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11031]) ).
tcf(c_11066,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_2514]) ).
tcf(c_11067,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_11066]) ).
tcf(c_11070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2514]) ).
tcf(c_11071,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_11070]) ).
tcf(c_11080,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_6615]) ).
tcf(c_11081,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11080]) ).
tcf(c_11082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6615]) ).
tcf(c_11083,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)))))) ),
inference(instantiation,[status(thm)],[c_11082]) ).
tcf(c_11102,plain,
! [X0: $i,X1: $i] :
( ~ 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_3685]) ).
tcf(c_11103,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11102]) ).
tcf(c_11108,plain,
! [X0: $i,X1: $i] :
( ~ 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_3694]) ).
tcf(c_11109,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11108]) ).
tcf(c_11111,plain,
! [X0: $i,X1: $i] :
( ~ 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_3694]) ).
tcf(c_11112,plain,
( ~ 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_11111]) ).
tcf(c_11114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_598]) ).
tcf(c_11127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_11130,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_11131,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_11130]) ).
tcf(c_11134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2522]) ).
tcf(c_11135,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_11134]) ).
tcf(c_11145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_5090]) ).
tcf(c_11164,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5142]) ).
tcf(c_11165,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11164]) ).
tcf(c_11168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5142]) ).
tcf(c_11169,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11168]) ).
tcf(c_11235,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(s(X2))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ 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_8495]) ).
tcf(c_11258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ 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)))) ),
inference(instantiation,[status(thm)],[c_7762]) ).
tcf(c_11266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7586]) ).
tcf(c_11271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ 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_7586]) ).
tcf(c_11283,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = X1 )
| ( X1 != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1607]) ).
tcf(c_11284,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_11283]) ).
tcf(c_11313,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_11314,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_11313]) ).
tcf(c_11330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1405]) ).
tcf(c_11331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1401]) ).
tcf(c_11333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1410]) ).
tcf(c_11337,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_11333]) ).
tcf(c_11397,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(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_11408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X3)))
| ~ b(s(X2),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2767]) ).
tcf(c_11433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),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_8493]) ).
tcf(c_11434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ 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_5913]) ).
tcf(c_11444,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2546]) ).
tcf(c_11726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8376]) ).
tcf(c_11727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8376]) ).
tcf(c_11816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8137]) ).
tcf(c_11825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8257]) ).
tcf(c_11828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8257]) ).
tcf(c_11856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4396]) ).
tcf(c_11984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8362]) ).
tcf(c_12040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8339]) ).
tcf(c_12069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),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_8407]) ).
tcf(c_12156,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_2696,c_56]) ).
tcf(c_12208,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(z) != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_389]) ).
tcf(c_12209,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_12210,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_12209]) ).
tcf(c_12249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ 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_3075]) ).
tcf(c_12287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_12291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4083]) ).
tcf(c_12293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4024]) ).
tcf(c_12363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1837]) ).
tcf(c_12409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X1),X3)
| ~ 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_1918]) ).
tcf(c_12422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1928]) ).
tcf(c_12485,plain,
! [X0: $i,X1: $i] :
( ~ 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_3694]) ).
tcf(c_12489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_3713]) ).
tcf(c_12490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_3728]) ).
tcf(c_12491,plain,
! [X0: $i,X1: $i] :
( ~ 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_3614]) ).
tcf(c_12492,plain,
! [X0: $i,X1: $i] :
( ~ 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_3262]) ).
tcf(c_12495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1762]) ).
tcf(c_12497,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12491]) ).
tcf(c_12498,plain,
( ~ 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_12485]) ).
tcf(c_12542,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3675]) ).
tcf(c_12543,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12542]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6739]) ).
tcf(c_12694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(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_4150]) ).
tcf(c_12724,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_12156,c_59]) ).
tcf(c_12725,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12724]) ).
tcf(c_12779,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(z) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_12782,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(z) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_12779]) ).
tcf(c_12804,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_12805,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_12804]) ).
tcf(c_12828,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_12829,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_12828]) ).
tcf(c_12891,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(s(s(X1))) )
| ( s(X0) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_13056,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4988]) ).
tcf(c_13242,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_7287]) ).
tcf(c_13243,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_13242]) ).
tcf(c_13368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2136]) ).
tcf(c_13506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4344]) ).
tcf(c_13600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_6026]) ).
tcf(c_13679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2900]) ).
tcf(c_13680,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13679]) ).
tcf(c_13703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4220]) ).
tcf(c_13704,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13703]) ).
tcf(c_13735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7661]) ).
tcf(c_13742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2901]) ).
tcf(c_13762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),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_7523]) ).
tcf(c_13773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8525]) ).
tcf(c_14000,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_1850]) ).
tcf(c_14001,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_14000]) ).
tcf(c_14027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(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_8613]) ).
tcf(c_14047,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_3565]) ).
tcf(c_14048,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_14047]) ).
tcf(c_14121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_8616]) ).
tcf(c_14122,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14121]) ).
tcf(c_14245,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10375]) ).
tcf(c_14246,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14245]) ).
tcf(c_14251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10376]) ).
tcf(c_14252,plain,
( ~ 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_14251]) ).
tcf(c_14387,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10378]) ).
tcf(c_14388,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14387]) ).
tcf(c_14518,plain,
! [X0: $i,X1: $i] :
( ~ 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_11102]) ).
tcf(c_14519,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14518]) ).
tcf(c_14529,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11108]) ).
tcf(c_14530,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14529]) ).
tcf(c_14624,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(z) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_12208]) ).
tcf(c_14625,plain,
( ( s(s(s(z))) = s(z) )
| ( s(z) != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14675,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12485]) ).
tcf(c_14676,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14675]) ).
tcf(c_14680,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12491]) ).
tcf(c_14681,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14680]) ).
tcf(c_14686,plain,
! [X0: $i,X1: $i] :
( ~ 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_12492]) ).
tcf(c_14687,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14686]) ).
tcf(c_14744,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12683]) ).
tcf(c_14745,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14744]) ).
tcf(c_14769,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(s(X1))) )
| ( s(s(X0)) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_12891]) ).
tcf(c_14770,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_14769]) ).
tcf(c_14794,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13056]) ).
tcf(c_14795,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14794]) ).
tcf(c_14796,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_13056]) ).
tcf(c_14797,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_14796]) ).
tcf(c_15135,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_15136,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15135]) ).
tcf(c_15139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_15378,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12490]) ).
tcf(c_15453,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(z))),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_9008]) ).
tcf(c_15454,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(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15453]) ).
tcf(c_15494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11029]) ).
tcf(c_15495,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15494]) ).
tcf(c_15524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11082]) ).
tcf(c_15525,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_15524]) ).
tcf(c_15550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11127]) ).
tcf(c_15551,plain,
( ~ r(z,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_15550]) ).
tcf(c_15575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11145]) ).
tcf(c_15576,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_15575]) ).
tcf(c_15600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11168]) ).
tcf(c_15601,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15600]) ).
tcf(c_15698,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10377]) ).
tcf(c_15699,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_15698]) ).
tcf(c_15749,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3230]) ).
tcf(c_15880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_13600]) ).
tcf(c_15916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13742]) ).
tcf(c_15927,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9085]) ).
tcf(c_16256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),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_9426]) ).
tcf(c_16257,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16256]) ).
tcf(c_16668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ 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_7823]) ).
tcf(c_16681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7818]) ).
tcf(c_16793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11726]) ).
tcf(c_16802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11727]) ).
tcf(c_16815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11828]) ).
tcf(c_16864,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5142]) ).
tcf(c_16865,plain,
! [X0: $i,X1: $i] :
( ~ 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_11127]) ).
tcf(c_16866,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11029]) ).
tcf(c_16867,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16866]) ).
tcf(c_16868,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16865]) ).
tcf(c_16869,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16864]) ).
tcf(c_16886,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12489]) ).
tcf(c_16887,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16886]) ).
tcf(c_17072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_13506]) ).
tcf(c_17142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13773]) ).
tcf(c_17155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ 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(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9572]) ).
tcf(c_17156,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17155]) ).
tcf(c_17258,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(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12495]) ).
tcf(c_17259,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_17258]) ).
tcf(c_17799,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_3597]) ).
tcf(c_17800,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_17799]) ).
tcf(c_18222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_18654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10813]) ).
tcf(c_18689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6718]) ).
tcf(c_18820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9822]) ).
tcf(c_18935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9954]) ).
tcf(c_18971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10270]) ).
tcf(c_19104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(z,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_12249]) ).
tcf(c_19107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ 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_12363]) ).
tcf(c_19108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12293]) ).
tcf(c_19112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11444]) ).
tcf(c_19120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X3),X2)
| ~ 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_1428]) ).
tcf(c_19137,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_19120]) ).
tcf(c_19139,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19112]) ).
tcf(c_19140,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_19108]) ).
tcf(c_19141,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_19107]) ).
tcf(c_19309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12422]) ).
tcf(c_19337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_11434]) ).
tcf(c_19344,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19337]) ).
tcf(c_19546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_13368]) ).
tcf(c_19564,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_19546]) ).
tcf(c_19600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),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_11331]) ).
tcf(c_19659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10469]) ).
tcf(c_19661,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19659]) ).
tcf(c_20119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10635]) ).
tcf(c_20150,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(X1) )
| ( s(s(s(s(s(X0))))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_20152,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_20150]) ).
tcf(c_20190,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = s(X1) )
| ( s(X1) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_8774]) ).
tcf(c_20191,plain,
( ( s(s(s(s(s(z))))) = s(z) )
| ( s(z) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_20190]) ).
tcf(c_20279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X3)),z)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10727]) ).
tcf(c_20732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10811]) ).
tcf(c_20745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),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_10849]) ).
tcf(c_20746,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_20745]) ).
tcf(c_20794,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(z)))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10800]) ).
tcf(c_20853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10951]) ).
tcf(c_20929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11007]) ).
tcf(c_21222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(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_10751]) ).
tcf(c_21223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(X3,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(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10745]) ).
tcf(c_21228,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(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21223]) ).
tcf(c_21240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(X3))))
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X3))),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10798]) ).
tcf(c_21644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X3)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ 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_10725]) ).
tcf(c_22016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11271]) ).
tcf(c_22023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(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_9939]) ).
tcf(c_22103,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(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9454]) ).
tcf(c_22104,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_22103]) ).
tcf(c_22244,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(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10331]) ).
tcf(c_22533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12694]) ).
tcf(c_22534,plain,
( ~ b(z,s(s(z)))
| ~ b(s(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_22533]) ).
tcf(c_22735,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(s(X0))))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_12209]) ).
tcf(c_22739,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_22735]) ).
tcf(c_22995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5917]) ).
tcf(c_22996,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),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(z))) ),
inference(instantiation,[status(thm)],[c_22995]) ).
tcf(c_23052,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_12828]) ).
tcf(c_23053,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_23052]) ).
tcf(c_23216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10689]) ).
tcf(c_23341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_23342,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(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_23341]) ).
tcf(c_23399,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(X3)),s(s(X2)))
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_10816]) ).
tcf(c_23429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11397]) ).
tcf(c_23563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13735]) ).
tcf(c_23645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_13762]) ).
tcf(c_23901,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10373]) ).
tcf(c_23904,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10372]) ).
tcf(c_23985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6264]) ).
tcf(c_24097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_11168]) ).
tcf(c_24098,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24097]) ).
tcf(c_24439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11825]) ).
tcf(c_24561,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(s(s(X1)))) )
| ( s(s(X0)) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_24562,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_24561]) ).
tcf(c_24696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X4)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4535]) ).
tcf(c_24701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1594]) ).
tcf(c_24702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1539]) ).
tcf(c_24708,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_24702]) ).
tcf(c_24758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_24761,plain,
( ~ b(s(z),z)
| ~ 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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24758]) ).
tcf(c_24764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X2))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ 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(X1))) ),
inference(instantiation,[status(thm)],[c_4080]) ).
tcf(c_24765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4024]) ).
tcf(c_24770,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24765]) ).
tcf(c_24778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X2),X4)
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_24791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4326]) ).
tcf(c_24814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_2900]) ).
tcf(c_24815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_24822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X3)))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_11408]) ).
tcf(c_24825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11330]) ).
tcf(c_24827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ 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(X1))) ),
inference(instantiation,[status(thm)],[c_3866]) ).
tcf(c_24829,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24825]) ).
tcf(c_24834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),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_5917]) ).
tcf(c_24835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ 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_5890]) ).
tcf(c_24837,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),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(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24834]) ).
tcf(c_24841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X4)),s(s(s(X1))))
| ~ 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_6385]) ).
tcf(c_24846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4434]) ).
tcf(c_24847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6026]) ).
tcf(c_24849,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_24847]) ).
tcf(c_24851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X1)),s(s(X4)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4509]) ).
tcf(c_24868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(s(s(X3))),X4)
| ~ b(s(s(s(X3))),s(X2))
| ~ 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_4104]) ).
tcf(c_25008,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_5549]) ).
tcf(c_25009,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_5548]) ).
tcf(c_25011,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25009]) ).
tcf(c_25012,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)))))) ),
inference(instantiation,[status(thm)],[c_25008]) ).
tcf(c_25096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_11984]) ).
tcf(c_25274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12069]) ).
tcf(c_25370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X2)
| ~ b(X3,s(s(X4)))
| ~ b(X2,s(s(X4)))
| ~ b(s(X0),s(s(X4)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2962]) ).
tcf(c_26376,plain,
! [X0: $i,X1: $i] :
( ~ 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_14387]) ).
tcf(c_26377,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26376]) ).
tcf(c_26474,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_14744]) ).
tcf(c_26475,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(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26474]) ).
tcf(c_26790,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15378]) ).
tcf(c_26796,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_15698]) ).
tcf(c_26797,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)))))) ),
inference(instantiation,[status(thm)],[c_26796]) ).
tcf(c_26801,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15749]) ).
tcf(c_26802,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26801]) ).
tcf(c_26968,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(s(X1)) )
| ( s(s(s(s(s(X0))))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_20150]) ).
tcf(c_26969,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_26968]) ).
tcf(c_27059,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(s(s(X1)))) )
| ( s(s(s(X0))) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_24561]) ).
tcf(c_27060,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_27059]) ).
tcf(c_27146,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_23901]) ).
tcf(c_27288,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_25008]) ).
tcf(c_27289,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_27288]) ).
tcf(c_27412,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(s(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(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15135]) ).
tcf(c_27413,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27412]) ).
tcf(c_27738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_14027]) ).
tcf(c_27739,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)))))) ),
inference(instantiation,[status(thm)],[c_27738]) ).
tcf(c_27934,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15927]) ).
tcf(c_27935,plain,
( ~ b(z,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(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27934]) ).
tcf(c_28009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ 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_21222]) ).
tcf(c_28010,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28009]) ).
tcf(c_28055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(s(X3))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X3))))))
| ~ b(s(s(X1)),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(X1))) ),
inference(instantiation,[status(thm)],[c_21240]) ).
tcf(c_28056,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(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28055]) ).
tcf(c_28088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15139]) ).
tcf(c_28089,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28088]) ).
tcf(c_28173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15880]) ).
tcf(c_28228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18222]) ).
tcf(c_28294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_22244]) ).
tcf(c_28334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21644]) ).
tcf(c_28704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(s(z))),X1)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_16802]) ).
tcf(c_28708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16815]) ).
tcf(c_28741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X2)),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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17142]) ).
tcf(c_28742,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(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_28741]) ).
tcf(c_28850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18935]) ).
tcf(c_29006,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_599]) ).
tcf(c_29007,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_29006]) ).
tcf(c_29054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11114]) ).
tcf(c_29189,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_29190,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29189]) ).
tcf(c_29209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_11082]) ).
tcf(c_29210,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)))))) ),
inference(instantiation,[status(thm)],[c_29209]) ).
tcf(c_29239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2512]) ).
tcf(c_29240,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_29239]) ).
tcf(c_29475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),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_20853]) ).
tcf(c_29505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16668]) ).
tcf(c_29522,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(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22023]) ).
tcf(c_29621,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_23429]) ).
tcf(c_29745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_23985]) ).
tcf(c_29756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11258]) ).
tcf(c_29757,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29756]) ).
tcf(c_29782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_22016]) ).
tcf(c_29783,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29782]) ).
tcf(c_29784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X3)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),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_22016]) ).
tcf(c_29785,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29784]) ).
tcf(c_30093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18820]) ).
tcf(c_30094,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(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30093]) ).
tcf(c_30127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_19104]) ).
tcf(c_30128,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)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30127]) ).
tcf(c_30145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19309]) ).
tcf(c_30146,plain,
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30145]) ).
tcf(c_30221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19600]) ).
tcf(c_30222,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30221]) ).
tcf(c_30242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(X0))),s(z))
| ~ 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_20929]) ).
tcf(c_30430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12287]) ).
tcf(c_30439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X3)),s(X0))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12291]) ).
tcf(c_30440,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(z))))) ),
inference(instantiation,[status(thm)],[c_30439]) ).
tcf(c_30480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X2))
| ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24764]) ).
tcf(c_30481,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(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30480]) ).
tcf(c_30500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_12409]) ).
tcf(c_30632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_24791]) ).
tcf(c_30633,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(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_30632]) ).
tcf(c_30844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_24822]) ).
tcf(c_30845,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30844]) ).
tcf(c_30919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),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(X1)))) ),
inference(instantiation,[status(thm)],[c_24834]) ).
tcf(c_30920,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_30919]) ).
tcf(c_30968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11816]) ).
tcf(c_30969,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30968]) ).
tcf(c_31030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_18689]) ).
tcf(c_31031,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31030]) ).
tcf(c_31117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(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_24868]) ).
tcf(c_31143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ 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_18971]) ).
tcf(c_31144,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ 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_31143]) ).
tcf(c_31288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_24846]) ).
tcf(c_31291,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(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_31288]) ).
tcf(c_31325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_24696]) ).
tcf(c_31570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2813]) ).
tcf(c_31725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(z))),X3)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23216]) ).
tcf(c_31739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23399]) ).
tcf(c_31740,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(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_31739]) ).
tcf(c_31741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),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_23399]) ).
tcf(c_31788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X4)
| ~ b(X3,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_23645]) ).
tcf(c_31789,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31788]) ).
tcf(c_31849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7076]) ).
tcf(c_32677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11856]) ).
tcf(c_32771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(X2)),s(X1))
| ~ 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(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9064]) ).
tcf(c_32775,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32771]) ).
tcf(c_32865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11433]) ).
tcf(c_32869,plain,
( ~ b(z,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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32865]) ).
tcf(c_32927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24764]) ).
tcf(c_32943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24815]) ).
tcf(c_34628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_21240]) ).
tcf(c_34632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11266]) ).
tcf(c_34635,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_15916]) ).
tcf(c_34705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18654]) ).
tcf(c_34734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23399]) ).
tcf(c_34735,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(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_34734]) ).
tcf(c_34950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24814]) ).
tcf(c_35109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(s(X1))))
| ~ 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_2957]) ).
tcf(c_35253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),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_10910]) ).
tcf(c_35284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23399]) ).
tcf(c_35549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10294]) ).
tcf(c_35550,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35549]) ).
tcf(c_35580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24827]) ).
tcf(c_35599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ 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_24851]) ).
tcf(c_35625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X3,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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10951]) ).
tcf(c_35626,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35625]) ).
tcf(c_35642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X3)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X3)))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11235]) ).
tcf(c_35643,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(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35642]) ).
tcf(c_35721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ 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_7258]) ).
tcf(c_35788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ 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_10704]) ).
tcf(c_35879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10705]) ).
tcf(c_36078,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23901]) ).
tcf(c_36079,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_36078]) ).
tcf(c_36083,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23904]) ).
tcf(c_36084,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)))))) ),
inference(instantiation,[status(thm)],[c_36083]) ).
tcf(c_37049,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26790]) ).
tcf(c_37050,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37049]) ).
tcf(c_37311,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_27146]) ).
tcf(c_37312,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37311]) ).
tcf(c_37668,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29006]) ).
tcf(c_37669,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37668]) ).
tcf(c_37672,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_29006]) ).
tcf(c_37673,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37672]) ).
tcf(c_37747,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34635]) ).
tcf(c_37748,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37747]) ).
tcf(c_37797,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29621]) ).
tcf(c_37890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_29054]) ).
tcf(c_37915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_29239]) ).
tcf(c_37916,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37915]) ).
tcf(c_37958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_28088]) ).
tcf(c_37959,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37958]) ).
tcf(c_38337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ 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_13762]) ).
tcf(c_38371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34628]) ).
tcf(c_38372,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(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_38371]) ).
tcf(c_38388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_28173]) ).
tcf(c_38389,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38388]) ).
tcf(c_38470,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(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_28228]) ).
tcf(c_38471,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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_38470]) ).
tcf(c_38540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(s(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(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_28294]) ).
tcf(c_38541,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_38540]) ).
tcf(c_38596,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31570]) ).
tcf(c_38597,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38596]) ).
tcf(c_38608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34705]) ).
tcf(c_38609,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(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_38608]) ).
tcf(c_38830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X2),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(z)))) ),
inference(instantiation,[status(thm)],[c_32927]) ).
tcf(c_38831,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38830]) ).
tcf(c_38856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(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)))))) ),
inference(instantiation,[status(thm)],[c_28704]) ).
tcf(c_38886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_28708]) ).
tcf(c_38905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_28741]) ).
tcf(c_38933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),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_32943]) ).
tcf(c_38934,plain,
( ~ b(s(z),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(z)))
| ~ b(s(s(s(s(s(z))))),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_38933]) ).
tcf(c_39010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_28850]) ).
tcf(c_39116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ 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_29475]) ).
tcf(c_39117,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39116]) ).
tcf(c_39159,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(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(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_29522]) ).
tcf(c_39160,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39159]) ).
tcf(c_39206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29505]) ).
tcf(c_39207,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_39206]) ).
tcf(c_39316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29745]) ).
tcf(c_40254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X4)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),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_24841]) ).
tcf(c_40255,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),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(z)))) ),
inference(instantiation,[status(thm)],[c_40254]) ).
tcf(c_40383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30242]) ).
tcf(c_40384,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40383]) ).
tcf(c_40549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31849]) ).
tcf(c_40619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ 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_34632]) ).
tcf(c_40898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_34950]) ).
tcf(c_40899,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_40898]) ).
tcf(c_41147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_20119]) ).
tcf(c_41148,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(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(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_41147]) ).
tcf(c_41182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),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_20279]) ).
tcf(c_41183,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(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_41182]) ).
tcf(c_41219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ 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_35599]) ).
tcf(c_41220,plain,
( ~ b(z,s(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(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_41219]) ).
tcf(c_41268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20732]) ).
tcf(c_41269,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(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_41268]) ).
tcf(c_41892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(X2)))),s(s(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_23563]) ).
tcf(c_41893,plain,
( ~ 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)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_41892]) ).
tcf(c_42132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(s(X1))))
| ~ b(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_35109]) ).
tcf(c_42348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ 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_25274]) ).
tcf(c_42349,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42348]) ).
tcf(c_42514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_35253]) ).
tcf(c_42515,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_42514]) ).
tcf(c_42516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(s(X0))),s(s(X4)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X2)))),s(s(X4)))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ 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_35253]) ).
tcf(c_42680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(X1)))),s(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(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35580]) ).
tcf(c_42722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X4)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35721]) ).
tcf(c_42723,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42722]) ).
tcf(c_42791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(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_35788]) ).
tcf(c_42800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ 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_35879]) ).
tcf(c_43348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ 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_35599]) ).
tcf(c_43352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X3))),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X3))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X3))))
| ~ 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_35284]) ).
tcf(c_43361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(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_28055]) ).
tcf(c_43420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(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))))) ),
inference(instantiation,[status(thm)],[c_16802]) ).
tcf(c_43854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35788]) ).
tcf(c_43951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18222]) ).
tcf(c_44733,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_44734,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44733]) ).
tcf(c_44737,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_749]) ).
tcf(c_44738,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44737]) ).
tcf(c_44806,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12491]) ).
tcf(c_45189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ 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_11235]) ).
tcf(c_45191,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45189]) ).
tcf(c_45240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_31741]) ).
tcf(c_46486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(s(X0))))),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_25370]) ).
tcf(c_46487,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46486]) ).
tcf(c_46545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_30430]) ).
tcf(c_46546,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_46545]) ).
tcf(c_46695,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(X0)),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_30500]) ).
tcf(c_46696,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_46695]) ).
tcf(c_47904,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44806]) ).
tcf(c_47905,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_47904]) ).
tcf(c_48016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_37890]) ).
tcf(c_48017,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_48016]) ).
tcf(c_48518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(X4),s(s(s(s(s(X0))))))
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ 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_43348]) ).
tcf(c_48519,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48518]) ).
tcf(c_48546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X3))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X3))))
| ~ 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_43361]) ).
tcf(c_48547,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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48546]) ).
tcf(c_48560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38388]) ).
tcf(c_48561,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48560]) ).
tcf(c_48646,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(z)),s(s(s(s(s(X1))))))
| ~ 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_38540]) ).
tcf(c_48647,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_48646]) ).
tcf(c_48678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45240]) ).
tcf(c_48679,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_48678]) ).
tcf(c_48870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43951]) ).
tcf(c_48871,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_48870]) ).
tcf(c_49026,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_38856]) ).
tcf(c_49027,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_49026]) ).
tcf(c_49033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38886]) ).
tcf(c_49034,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_49033]) ).
tcf(c_49045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_38905]) ).
tcf(c_49046,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(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_49045]) ).
tcf(c_49096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39010]) ).
tcf(c_49097,plain,
( ~ b(s(z),s(s(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))))))
| ~ 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_49096]) ).
tcf(c_49236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39316]) ).
tcf(c_49237,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49236]) ).
tcf(c_49392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12040]) ).
tcf(c_49393,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(s(z)))))) ),
inference(instantiation,[status(thm)],[c_49392]) ).
tcf(c_49506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2523]) ).
tcf(c_49507,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49506]) ).
tcf(c_49571,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ 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_37797]) ).
tcf(c_49621,plain,
( ~ b(s(z),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))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_49571]) ).
tcf(c_49736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X3),s(s(s(X1))))
| ~ 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(s(s(X2))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_28334]) ).
tcf(c_49755,plain,
( ~ b(s(z),z)
| ~ b(s(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(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_49736]) ).
tcf(c_50188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31325]) ).
tcf(c_50189,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_50188]) ).
tcf(c_50192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),X4)
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),X4)
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_31325]) ).
tcf(c_50193,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(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_50192]) ).
tcf(c_50204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X2)))),X4)
| ~ b(X4,s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43352]) ).
tcf(c_50205,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(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50204]) ).
tcf(c_50209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X0)))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X2))))),X3)
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X2))))),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_43352]) ).
tcf(c_50210,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(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_50209]) ).
tcf(c_50604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16681]) ).
tcf(c_50605,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50604]) ).
tcf(c_50616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(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_16793]) ).
tcf(c_50617,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50616]) ).
tcf(c_50622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16802]) ).
tcf(c_50623,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(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)))) ),
inference(instantiation,[status(thm)],[c_50622]) ).
tcf(c_50624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_17072]) ).
tcf(c_50625,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(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_50624]) ).
tcf(c_50647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_1539]) ).
tcf(c_50648,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_50647]) ).
tcf(c_51015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_1918]) ).
tcf(c_51016,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_51015]) ).
tcf(c_51124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43420]) ).
tcf(c_51125,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(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_51124]) ).
tcf(c_51227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_2901]) ).
tcf(c_51228,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_51227]) ).
tcf(c_51251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2961]) ).
tcf(c_51252,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51251]) ).
tcf(c_51286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X2)))),s(X0))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19546]) ).
tcf(c_51287,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_51286]) ).
tcf(c_51293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ 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_24439]) ).
tcf(c_51294,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51293]) ).
tcf(c_51311,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),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_32677]) ).
tcf(c_51312,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))))))
| ~ 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_51311]) ).
tcf(c_51381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ 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(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_31117]) ).
tcf(c_51382,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_51381]) ).
tcf(c_51384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31117]) ).
tcf(c_51385,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_51384]) ).
tcf(c_51393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_40549]) ).
tcf(c_51394,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(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_51393]) ).
tcf(c_51572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_2530]) ).
tcf(c_51573,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_51572]) ).
tcf(c_52020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X0))))))
| ~ b(X3,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ 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_38337]) ).
tcf(c_52021,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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52020]) ).
tcf(c_52044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_34705]) ).
tcf(c_52045,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52044]) ).
tcf(c_52046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_38608]) ).
tcf(c_52047,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52046]) ).
tcf(c_52163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(X4)))
| ~ b(s(s(X4)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X3))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3801]) ).
tcf(c_52164,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),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_52163]) ).
tcf(c_52242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X1)))))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(s(X0))))),X4)
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ 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_24701]) ).
tcf(c_52243,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),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_52242]) ).
tcf(c_52244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(X4,s(s(s(s(s(X2))))))
| ~ b(X4,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X2))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24701]) ).
tcf(c_52245,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52244]) ).
tcf(c_52307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(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(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24764]) ).
tcf(c_52308,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52307]) ).
tcf(c_52317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(X4),s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(s(s(X2))))))
| ~ 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_24778]) ).
tcf(c_52318,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52317]) ).
tcf(c_52347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20794]) ).
tcf(c_52348,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(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52347]) ).
tcf(c_52414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6313]) ).
tcf(c_52415,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_52414]) ).
tcf(c_52437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(s(X2))))))
| ~ b(s(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_34950]) ).
tcf(c_52438,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(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_52437]) ).
tcf(c_52468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40619]) ).
tcf(c_52469,plain,
( ~ b(s(s(z)),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(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52468]) ).
tcf(c_52501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(s(X1)))))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(s(s(X1)))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42132]) ).
tcf(c_52502,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(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_52501]) ).
tcf(c_52525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X1)))),s(X4))
| ~ b(s(s(s(s(s(X3))))),s(X4))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42516]) ).
tcf(c_52526,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52525]) ).
tcf(c_52527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(s(X3))))),s(X4))
| ~ b(s(s(s(s(s(X1))))),s(X4))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X3))))))
| ~ 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_42516]) ).
tcf(c_52528,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(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_52527]) ).
tcf(c_52617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X4))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X4))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X4))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X3))))))
| ~ b(s(s(s(s(s(X3))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42680]) ).
tcf(c_52618,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52617]) ).
tcf(c_52652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X4))),s(s(s(s(X1)))))
| ~ b(s(s(s(X4))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(X4))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X3))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X3))))
| ~ 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_42800]) ).
tcf(c_52653,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52652]) ).
tcf(c_52673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43854]) ).
tcf(c_52674,plain,
( ~ 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(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52673]) ).
tcf(c_53624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ 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(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6380]) ).
tcf(c_53625,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53624]) ).
tcf(c_53647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(X4))
| ~ b(s(s(X3)),s(s(s(s(s(X2))))))
| ~ b(s(s(X3)),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_24835]) ).
tcf(c_53648,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_53647]) ).
tcf(c_53830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24778]) ).
tcf(c_53832,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53830]) ).
tcf(c_53872,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31725]) ).
tcf(c_53879,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53872]) ).
tcf(c_53906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(s(s(X1))))
| ~ b(s(s(s(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_42791]) ).
tcf(c_53916,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53906]) ).
tcf(c_53954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_28055]) ).
tcf(c_53955,plain,
( ~ 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)))
| ~ 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_53954]) ).
tcf(c_54173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_25096]) ).
tcf(c_54201,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(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_54173]) ).
tcf(c_54232,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16802]) ).
tcf(c_54233,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)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54232]) ).
tcf(c_54256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_42514]) ).
tcf(c_54259,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_54256]) ).
tcf(c_55080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(s(X2)))),s(X4))
| ~ b(s(X4),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_9618]) ).
tcf(c_55081,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(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_55080]) ).
tcf(c_55226,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55081,c_54259,c_54233,c_54201,c_53955,c_53916,c_53879,c_53832,c_53648,c_53625,c_52674,c_52653,c_52618,c_52528,c_52526,c_52502,c_52469,c_52438,c_52415,c_52348,c_52318,c_52308,c_52245,c_52243,c_52164,c_52047,c_52045,c_52021,c_51573,c_51394,c_51385,c_51382,c_51312,c_51294,c_51287,c_51252,c_51228,c_51125,c_51016,c_50648,c_50625,c_50623,c_50617,c_50605,c_50210,c_50205,c_50193,c_50189,c_49755,c_49621,c_49507,c_49393,c_49237,c_49097,c_49046,c_49034,c_49027,c_48871,c_48679,c_48647,c_48561,c_48547,c_48519,c_48017,c_47905,c_46696,c_46546,c_46487,c_45191,c_44738,c_44734,c_42723,c_42515,c_42349,c_41893,c_41269,c_41220,c_41183,c_41148,c_40899,c_40384,c_40255,c_39207,c_39160,c_39117,c_38934,c_38831,c_38609,c_38597,c_38541,c_38471,c_38389,c_38372,c_37959,c_37916,c_37748,c_37673,c_37669,c_37312,c_37050,c_36084,c_36079,c_35643,c_35626,c_35550,c_34735,c_32869,c_32775,c_31789,c_31740,c_31291,c_31144,c_31031,c_30969,c_30920,c_30845,c_30633,c_30481,c_30440,c_30222,c_30146,c_30128,c_30094,c_29785,c_29783,c_29757,c_29240,c_29210,c_29190,c_29007,c_28742,c_28089,c_28056,c_28010,c_27935,c_27739,c_27413,c_27289,c_27060,c_26969,c_26802,c_26797,c_26475,c_26377,c_25012,c_25011,c_24849,c_24837,c_24829,c_24770,c_24761,c_24708,c_24562,c_24098,c_23342,c_23053,c_22996,c_22739,c_22534,c_22104,c_21228,c_20746,c_20191,c_20152,c_19661,c_19564,c_19344,c_19141,c_19140,c_19139,c_19137,c_17800,c_17259,c_17156,c_16887,c_16869,c_16868,c_16867,c_16257,c_15699,c_15601,c_15576,c_15551,c_15525,c_15495,c_15454,c_15136,c_14797,c_14795,c_14770,c_14745,c_14687,c_14681,c_14676,c_14625,c_14530,c_14519,c_14388,c_14252,c_14246,c_14122,c_14048,c_14001,c_13704,c_13680,c_13243,c_12829,c_12805,c_12782,c_12725,c_12543,c_12498,c_12497,c_12210,c_11337,c_11314,c_11284,c_11169,c_11165,c_11135,c_11131,c_11112,c_11109,c_11103,c_11083,c_11081,c_11071,c_11067,c_11034,c_11016,c_10382,c_10381,c_10380,c_10379,c_10244,c_9258,c_9114,c_9065,c_8753,c_8622,c_7733,c_7352,c_6810,c_6738,c_6616,c_6608,c_6502,c_6497,c_6470,c_6467,c_6432,c_6296,c_5918,c_5561,c_5560,c_5559,c_5558,c_5557,c_5497,c_5496,c_5495,c_5494,c_5493,c_5492,c_5390,c_5378,c_4893,c_4799,c_4789,c_4221,c_4180,c_4105,c_4103,c_3700,c_3686,c_3676,c_3671,c_3640,c_3566,c_3558,c_3363,c_3338,c_3337,c_2655,c_2569,c_2485,c_2435,c_2429,c_2395,c_2384,c_2082,c_1851,c_1836,c_1831,c_1820,c_1561,c_1391,c_1244,c_1220,c_828,c_750,c_737,c_722,c_716,c_616,c_577,c_551,c_507,c_478,c_383,c_377,c_366,c_332,c_282,c_257,c_256,c_252,c_250,c_242,c_240,c_233,c_215,c_210,c_209,c_205,c_204,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA167-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 13:06:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 27.26/5.31 % SZS status Started for theBenchmark.p
% 27.26/5.31 % SZS status Unsatisfiable for theBenchmark.p
% 27.26/5.31
% 27.26/5.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.26/5.31
% 27.26/5.31 % ------ iProver source info
% 27.26/5.31
% 27.26/5.31 % git: date: 2026-07-19 20:42:38 +0200
% 27.26/5.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.26/5.31 % git: non_committed_changes: false
% 27.26/5.31
% 27.26/5.31 % ------ Parsing...% successful
% 27.26/5.31
% 27.26/5.31
% 27.26/5.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.26/5.31
% 27.26/5.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 27.26/5.31
% 27.26/5.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.26/5.31
% 27.26/5.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.26/5.31 % ------ Proving...
% 27.26/5.31 % ------ Problem Properties
% 27.26/5.31
% 27.26/5.31 %
% 27.26/5.31 % clauses 7
% 27.26/5.31 % conjectures 0
% 27.26/5.31 % EPR 5
% 27.26/5.31 % Horn 6
% 27.26/5.31 % unary 3
% 27.26/5.31 % binary 1
% 27.26/5.31 % lits 18
% 27.26/5.31 % lits eq 4
% 27.26/5.31 % fd_pure 0
% 27.26/5.31 % fd_pseudo 0
% 27.26/5.31 % fd_cond 0
% 27.26/5.31 % fd_pseudo_cond 2
% 27.26/5.31 % AC symbols 0
% 27.26/5.31
% 27.26/5.31 % ------ Input Options Time Limit: Unbounded
% 27.26/5.31
% 27.26/5.31
% 27.26/5.31 % ------
% 27.26/5.31 % Current options:
% 27.26/5.31 % ------
% 27.26/5.31
% 27.26/5.31
% 27.26/5.31 %
% 27.26/5.31
% 27.26/5.31 % ------ Proving...
% 27.26/5.31 %
% 27.26/5.31
% 27.26/5.31 % SZS status Unsatisfiable for theBenchmark.p
% 27.26/5.31
% 27.26/5.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.26/5.32
% 27.26/5.32
%------------------------------------------------------------------------------