%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA127-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:23:52 PM UTC 2026
% Result : Unsatisfiable 14.52s 2.80s
% Output : CNFRefutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 1130 ( 24 unt; 0 def)
% Number of atoms : 4129 ( 351 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 6693 (3694 ~;2999 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 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 : 2309 ( 0 sgn2309 !; 0 ?;2295 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X1,X3)
| ~ r(X0,X3)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_103,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_190,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_191,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_192,plain,
( b(s(z),z)
| r(s(z),z)
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_193,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_195,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_196,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_197,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_198,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_202,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_203,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_220,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_221,plain,
s(z) = s(z),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_231,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_237,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_238,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_239,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_240,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_241,plain,
( b(z,s(z))
| r(z,s(z))
| ( z = s(z) ) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_242,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_253,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(X1) )
| ( s(X0) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = s(X0) )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_288,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_194]) ).
tcf(c_329,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_252]) ).
tcf(c_330,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_329]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_362,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_240]) ).
tcf(c_363,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_381,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X0,X2)
| ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( X1 != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_431,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_438,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = s(X0) )
| ( X2 != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_470,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_474,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_261]) ).
tcf(c_475,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_474]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_374]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_374]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_500,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_501,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_500]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(X2))
| ~ r(X0,s(X2))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_536,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_535]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_57,c_60]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| r(X2,X1)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_105,c_60]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_105,c_103]) ).
tcf(c_558,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_316]) ).
tcf(c_572,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_288]) ).
tcf(c_573,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),X1)
| r(s(s(s(X0))),X1)
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_588,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_535]) ).
tcf(c_594,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_430]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(X0) )
| ( s(X2) != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_554,c_60]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(X1),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_676,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_506]) ).
tcf(c_689,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_470]) ).
tcf(c_700,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_643,c_56]) ).
tcf(c_701,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_265]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_717,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X0))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_721,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_474]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),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_665]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_638]) ).
tcf(c_833,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_832]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(X2))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_868,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_869,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_868]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_877,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_876]) ).
tcf(c_887,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_587]) ).
tcf(c_888,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_887]) ).
tcf(c_895,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_587]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_503]) ).
tcf(c_932,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_553,c_60]) ).
tcf(c_933,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_553,c_643]) ).
tcf(c_935,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_256]) ).
tcf(c_936,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_935]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_947,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_715]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_953,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_952]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_955,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_954]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_720]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),z)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_500]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_62,c_700]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),s(X3))
| ( X1 = X3 )
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_545]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_986,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_670]) ).
tcf(c_993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_714]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_996,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_995]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_657]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_657]) ).
tcf(c_1007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_671]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_671]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_679]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_719]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_719]) ).
tcf(c_1042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_1074,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_721]) ).
tcf(c_1075,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_1074]) ).
tcf(c_1078,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_594]) ).
tcf(c_1114,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_932,c_57]) ).
tcf(c_1119,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1120,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_1137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_1156,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_1164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_506]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_1348,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1349,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1348]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1351,plain,
! [X0: $i] :
( ( s(z) = s(X0) )
| ( s(s(z)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(X1)) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1356,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1355]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(X1)))
| r(X0,s(s(X1)))
| ( X0 = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_256]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_867]) ).
tcf(c_1464,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_1515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_1516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_1519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_1523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_1524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_949]) ).
tcf(c_1528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_1533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_905]) ).
tcf(c_1537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_905]) ).
tcf(c_1585,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_474]) ).
tcf(c_1586,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_1585]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_995]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),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_967]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1059]) ).
tcf(c_1636,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),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_983]) ).
tcf(c_1655,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_558]) ).
tcf(c_1656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_1658,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_1655]) ).
tcf(c_1697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1004]) ).
tcf(c_1704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1007]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1007]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1009]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),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_1017]) ).
tcf(c_1717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_1723,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_1722]) ).
tcf(c_1724,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X0,z)
| ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_1042]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1042]) ).
tcf(c_1737,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(X2) )
| ( s(X2) != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_1137]) ).
tcf(c_1738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = z )
| ( z != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_1793,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_1797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_1817,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_1818,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_1817]) ).
tcf(c_1823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_489]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_504]) ).
tcf(c_1840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1164]) ).
tcf(c_1847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1171]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_1865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_1869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_1870,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_1869]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1012]) ).
tcf(c_1930,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1928]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_715]) ).
tcf(c_2001,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_2002,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2001]) ).
tcf(c_2048,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1078]) ).
tcf(c_2049,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_721]) ).
tcf(c_2050,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_2049]) ).
tcf(c_2051,plain,
( ( s(s(s(s(z)))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_2048]) ).
tcf(c_2068,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1351]) ).
tcf(c_2236,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_721]) ).
tcf(c_2313,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_1655]) ).
tcf(c_2328,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_1741]) ).
tcf(c_2353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1382]) ).
tcf(c_2354,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_2353]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_1737]) ).
tcf(c_2382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_1738]) ).
tcf(c_2456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1724]) ).
tcf(c_2463,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1793]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1797]) ).
tcf(c_2609,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1952]) ).
tcf(c_2610,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2609]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1608]) ).
tcf(c_2623,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1618]) ).
tcf(c_2624,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_2625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1618]) ).
tcf(c_2639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1516]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1467]) ).
tcf(c_2649,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1464]) ).
tcf(c_2650,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_2649]) ).
tcf(c_2712,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_933,c_57]) ).
tcf(c_2721,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(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1706]) ).
tcf(c_2726,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1823]) ).
tcf(c_2741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1533]) ).
tcf(c_2749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1642]) ).
tcf(c_2752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),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_1642]) ).
tcf(c_2769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1834]) ).
tcf(c_2774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ 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_1865]) ).
tcf(c_2782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1697]) ).
tcf(c_2783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1704]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1704]) ).
tcf(c_2788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1715]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),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_1715]) ).
tcf(c_2792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X2)))
| ~ r(s(s(X3)),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1717]) ).
tcf(c_2793,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_2792]) ).
tcf(c_2796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1717]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1726]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1726]) ).
tcf(c_2803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1726]) ).
tcf(c_2827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1845]) ).
tcf(c_2830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1867]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),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_1608]) ).
tcf(c_2867,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X0))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1618]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1618]) ).
tcf(c_2902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1850]) ).
tcf(c_2915,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X0)),z)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1050]) ).
tcf(c_2917,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1048]) ).
tcf(c_2919,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(X0)),z)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_2920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_2922,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_2917]) ).
tcf(c_2924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_2925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1850]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1636]) ).
tcf(c_2938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1640]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1169]) ).
tcf(c_2943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1017]) ).
tcf(c_2959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1050]) ).
tcf(c_2963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_502]) ).
tcf(c_2964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_2968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1850]) ).
tcf(c_2969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1847]) ).
tcf(c_2971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1017]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_967]) ).
tcf(c_3006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_3018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_3033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_905]) ).
tcf(c_3218,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3219,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3218]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(X1) )
| ( s(X1) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_2370]) ).
tcf(c_3253,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_3252]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( X1 != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_2382]) ).
tcf(c_3270,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3269]) ).
tcf(c_3299,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_1380]) ).
tcf(c_3427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1012]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1003]) ).
tcf(c_3443,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_2236]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3018]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_3477,plain,
( ~ b(z,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_3476]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_3481,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3480]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2456]) ).
tcf(c_3496,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_978,c_500]) ).
tcf(c_3504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_3529,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2647]) ).
tcf(c_3530,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_3529]) ).
tcf(c_3533,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2647]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2902]) ).
tcf(c_3622,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2915]) ).
tcf(c_3623,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3622]) ).
tcf(c_3627,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2919]) ).
tcf(c_3628,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3627]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(X1),s(z))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2920]) ).
tcf(c_3648,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2927]) ).
tcf(c_3649,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3648]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2938]) ).
tcf(c_3657,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3656]) ).
tcf(c_3661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2938]) ).
tcf(c_3689,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_438]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(X1))) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_2328]) ).
tcf(c_3695,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(s(X1))) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1523]) ).
tcf(c_3847,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1722]) ).
tcf(c_3848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1021]) ).
tcf(c_3849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_993]) ).
tcf(c_3850,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_3849]) ).
tcf(c_3851,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3848]) ).
tcf(c_3854,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3845]) ).
tcf(c_3875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(X2)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2774]) ).
tcf(c_3877,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_2313]) ).
tcf(c_3879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1537]) ).
tcf(c_3880,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1711]) ).
tcf(c_3882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1515]) ).
tcf(c_3883,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3882]) ).
tcf(c_3885,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_3880]) ).
tcf(c_3887,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1528]) ).
tcf(c_3888,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3887]) ).
tcf(c_3944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2639]) ).
tcf(c_4000,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_4005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_4042,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2925]) ).
tcf(c_4043,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4042]) ).
tcf(c_4054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2625]) ).
tcf(c_4098,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2943]) ).
tcf(c_4099,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4098]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2741]) ).
tcf(c_4170,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_4172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_4175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
tcf(c_4179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_2959]) ).
tcf(c_4183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2963]) ).
tcf(c_4195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2984]) ).
tcf(c_4280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_993]) ).
tcf(c_4296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1021]) ).
tcf(c_4312,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_986]) ).
tcf(c_4313,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_986]) ).
tcf(c_4318,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_986]) ).
tcf(c_4319,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_4318]) ).
tcf(c_4350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_4383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1865]) ).
tcf(c_4429,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1010]) ).
tcf(c_4484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2769]) ).
tcf(c_4525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2783]) ).
tcf(c_4534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(s(X2))))
| ~ r(s(X0),s(s(s(X2))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2786]) ).
tcf(c_4535,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4534]) ).
tcf(c_4545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2792]) ).
tcf(c_4553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2796]) ).
tcf(c_4556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2796]) ).
tcf(c_4557,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_4556]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2796]) ).
tcf(c_4565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_4567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_4577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2803]) ).
tcf(c_4598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2830]) ).
tcf(c_4626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2827]) ).
tcf(c_4656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2964]) ).
tcf(c_4657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2964]) ).
tcf(c_4658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2964]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_4675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2969]) ).
tcf(c_4680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2971]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3006]) ).
tcf(c_4806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2983]) ).
tcf(c_4828,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_887]) ).
tcf(c_4829,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_4828]) ).
tcf(c_4887,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_237]) ).
tcf(c_4888,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_4887]) ).
tcf(c_4902,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_329]) ).
tcf(c_4903,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_4902]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3480]) ).
tcf(c_4917,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4916]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_3634]) ).
tcf(c_4920,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4919]) ).
tcf(c_5040,plain,
! [X0: $i] :
( ( s(s(z)) = z )
| ( z != s(s(s(X0))) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_3695]) ).
tcf(c_5057,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3847]) ).
tcf(c_5058,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_5057]) ).
tcf(c_5149,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4429]) ).
tcf(c_5167,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),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_3615]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3428]) ).
tcf(c_5285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3428]) ).
tcf(c_5293,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_4312]) ).
tcf(c_5308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3478]) ).
tcf(c_5312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3482]) ).
tcf(c_5342,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3875]) ).
tcf(c_5346,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(X1))
| r(s(s(s(s(X0)))),s(X1))
| ( s(s(s(s(X0)))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_895]) ).
tcf(c_5399,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3879]) ).
tcf(c_5400,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5399]) ).
tcf(c_5490,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1156]) ).
tcf(c_5491,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5490]) ).
tcf(c_5492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2924]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_2939]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_5497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_5499,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5495]) ).
tcf(c_5500,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_5492]) ).
tcf(c_5502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1840]) ).
tcf(c_5556,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1350]) ).
tcf(c_5575,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_3443]) ).
tcf(c_5576,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_5575]) ).
tcf(c_5617,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4170]) ).
tcf(c_5753,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_1585]) ).
tcf(c_5754,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_5753]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3944]) ).
tcf(c_5759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4160]) ).
tcf(c_5762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4160]) ).
tcf(c_5809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4005]) ).
tcf(c_5841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4296]) ).
tcf(c_5871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ 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_4383]) ).
tcf(c_5949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4525]) ).
tcf(c_5952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4525]) ).
tcf(c_5972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4565]) ).
tcf(c_5988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4656]) ).
tcf(c_5992,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4656]) ).
tcf(c_5997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4657]) ).
tcf(c_6005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4054]) ).
tcf(c_6021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4534]) ).
tcf(c_6022,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_6021]) ).
tcf(c_6035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4545]) ).
tcf(c_6125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4172]) ).
tcf(c_6131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ 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_4175]) ).
tcf(c_6150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X0)))
| ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4558]) ).
tcf(c_6155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4558]) ).
tcf(c_6170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4179]) ).
tcf(c_6171,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6170]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4183]) ).
tcf(c_6179,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6178]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4195]) ).
tcf(c_6214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4350]) ).
tcf(c_6243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4280]) ).
tcf(c_6253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4690]) ).
tcf(c_6289,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3533]) ).
tcf(c_6292,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2881]) ).
tcf(c_6354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4484]) ).
tcf(c_6376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4567]) ).
tcf(c_6380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4567]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ 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_4598]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4680]) ).
tcf(c_6414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4577]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4577]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4577]) ).
tcf(c_6442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4658]) ).
tcf(c_6444,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4658]) ).
tcf(c_6445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4658]) ).
tcf(c_6453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4670]) ).
tcf(c_6459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4675]) ).
tcf(c_6469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4806]) ).
tcf(c_6653,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4919]) ).
tcf(c_6654,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6653]) ).
tcf(c_6662,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_4887]) ).
tcf(c_6663,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_6662]) ).
tcf(c_6742,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5342]) ).
tcf(c_6743,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_6742]) ).
tcf(c_6818,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_5556]) ).
tcf(c_6819,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_6818]) ).
tcf(c_6820,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_5556]) ).
tcf(c_6885,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5293]) ).
tcf(c_6886,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_6885]) ).
tcf(c_7055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2788]) ).
tcf(c_7056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2749]) ).
tcf(c_7058,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2647]) ).
tcf(c_7059,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2613]) ).
tcf(c_7060,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7059]) ).
tcf(c_7061,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_7058]) ).
tcf(c_7082,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_7083,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_7082]) ).
tcf(c_7086,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5755]) ).
tcf(c_7180,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_5490]) ).
tcf(c_7185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3661]) ).
tcf(c_7186,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4098]) ).
tcf(c_7188,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3656]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2867]) ).
tcf(c_7196,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2001]) ).
tcf(c_7197,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7188]) ).
tcf(c_7198,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7186]) ).
tcf(c_7200,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_7180]) ).
tcf(c_7241,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_1114,c_56]) ).
tcf(c_7268,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4000]) ).
tcf(c_7269,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3218]) ).
tcf(c_7270,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7269]) ).
tcf(c_7271,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(s(z))) ),
inference(instantiation,[status(thm)],[c_7268]) ).
tcf(c_7342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4670]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4626]) ).
tcf(c_7349,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7343]) ).
tcf(c_7350,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7342]) ).
tcf(c_7351,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5167]) ).
tcf(c_7387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5308]) ).
tcf(c_7423,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)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5281]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5617]) ).
tcf(c_7699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5871]) ).
tcf(c_7870,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6289]) ).
tcf(c_7871,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7870]) ).
tcf(c_7889,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6292]) ).
tcf(c_7890,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_7889]) ).
tcf(c_7910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6155]) ).
tcf(c_7989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5496]) ).
tcf(c_7990,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7989]) ).
tcf(c_8015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5949]) ).
tcf(c_8077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5497]) ).
tcf(c_8091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6035]) ).
tcf(c_8092,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_8091]) ).
tcf(c_8102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5809]) ).
tcf(c_8114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5841]) ).
tcf(c_8136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5988]) ).
tcf(c_8140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5992]) ).
tcf(c_8159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != s(X1) )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_8163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_731]) ).
tcf(c_8166,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_8167,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_8166]) ).
tcf(c_8259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5997]) ).
tcf(c_8345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6416]) ).
tcf(c_8346,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8345]) ).
tcf(c_8353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6444]) ).
tcf(c_8354,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8353]) ).
tcf(c_8357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5502]) ).
tcf(c_8467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2791]) ).
tcf(c_8468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2752]) ).
tcf(c_8469,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_8470,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8469]) ).
tcf(c_8476,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6289]) ).
tcf(c_8477,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8476]) ).
tcf(c_8535,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6125]) ).
tcf(c_8563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6243]) ).
tcf(c_8573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6131]) ).
tcf(c_8596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6178]) ).
tcf(c_8625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6214]) ).
tcf(c_8626,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),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_8625]) ).
tcf(c_8650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6253]) ).
tcf(c_8672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6354]) ).
tcf(c_8673,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),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_8672]) ).
tcf(c_8722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5759]) ).
tcf(c_8734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5762]) ).
tcf(c_8787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_8826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6150]) ).
tcf(c_8836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_6376]) ).
tcf(c_8845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6380]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6410]) ).
tcf(c_8874,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8873]) ).
tcf(c_8987,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2791]) ).
tcf(c_8988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2752]) ).
tcf(c_8989,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_8997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6410]) ).
tcf(c_8998,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6203]) ).
tcf(c_9005,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_8997]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6469]) ).
tcf(c_9137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_6414]) ).
tcf(c_9154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6417]) ).
tcf(c_9181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6442]) ).
tcf(c_9232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6445]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6445]) ).
tcf(c_9253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6459]) ).
tcf(c_9254,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9253]) ).
tcf(c_9514,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_3443]) ).
tcf(c_9515,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_9514]) ).
tcf(c_9577,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_572]) ).
tcf(c_9578,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_9577]) ).
tcf(c_9644,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(X1) )
| ( s(X1) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_8163]) ).
tcf(c_9645,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_9644]) ).
tcf(c_9704,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_935]) ).
tcf(c_9705,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_9704]) ).
tcf(c_9826,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(X1) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_8166]) ).
tcf(c_9827,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_9826]) ).
tcf(c_9966,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_3443]) ).
tcf(c_10216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(s(X3))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7699]) ).
tcf(c_10297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7910]) ).
tcf(c_10298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7910]) ).
tcf(c_10299,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_10298]) ).
tcf(c_10543,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),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_7351]) ).
tcf(c_10839,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8535]) ).
tcf(c_10850,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8998]) ).
tcf(c_10911,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),X1)
| r(s(s(s(s(X0)))),X1)
| ( s(s(s(s(X0)))) = X1 ) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_10977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8015]) ).
tcf(c_11028,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7343]) ).
tcf(c_11029,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(s(z))) ),
inference(instantiation,[status(thm)],[c_11028]) ).
tcf(c_11088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7387]) ).
tcf(c_11152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8563]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8650]) ).
tcf(c_12077,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8469]) ).
tcf(c_12078,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_12077]) ).
tcf(c_12109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8787]) ).
tcf(c_12136,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8989]) ).
tcf(c_12137,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12136]) ).
tcf(c_12142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8997]) ).
tcf(c_12151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9091]) ).
tcf(c_12181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7055]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7056]) ).
tcf(c_12306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8102]) ).
tcf(c_12307,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12306]) ).
tcf(c_12329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8136]) ).
tcf(c_12337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8140]) ).
tcf(c_12338,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12337]) ).
tcf(c_12442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8722]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8734]) ).
tcf(c_12465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8467]) ).
tcf(c_12469,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8468]) ).
tcf(c_12473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8468]) ).
tcf(c_12491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8826]) ).
tcf(c_12492,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_12491]) ).
tcf(c_12493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8826]) ).
tcf(c_12507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),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_8987]) ).
tcf(c_12511,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8988]) ).
tcf(c_12515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),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_8988]) ).
tcf(c_12516,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12515]) ).
tcf(c_12528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7989]) ).
tcf(c_12529,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12528]) ).
tcf(c_12796,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_3299]) ).
tcf(c_12880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8573]) ).
tcf(c_12898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8357]) ).
tcf(c_12938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8836]) ).
tcf(c_12941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8836]) ).
tcf(c_12955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(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_8845]) ).
tcf(c_12956,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12955]) ).
tcf(c_13070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4670]) ).
tcf(c_13138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ 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_9137]) ).
tcf(c_13151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9154]) ).
tcf(c_13172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9181]) ).
tcf(c_13180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9232]) ).
tcf(c_13193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9233]) ).
tcf(c_13574,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12469]) ).
tcf(c_13575,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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13574]) ).
tcf(c_13585,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12511]) ).
tcf(c_13586,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(s(z)))) ),
inference(instantiation,[status(thm)],[c_13585]) ).
tcf(c_13761,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5149]) ).
tcf(c_13771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2353]) ).
tcf(c_13772,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2609]) ).
tcf(c_13778,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_588]) ).
tcf(c_13779,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_13778]) ).
tcf(c_13782,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_13772]) ).
tcf(c_13783,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_13771]) ).
tcf(c_13791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1588]) ).
tcf(c_13792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1524]) ).
tcf(c_13796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_995]) ).
tcf(c_13798,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13796]) ).
tcf(c_13801,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_13792]) ).
tcf(c_13865,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4313]) ).
tcf(c_13870,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_952]) ).
tcf(c_13875,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2463]) ).
tcf(c_13876,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13875]) ).
tcf(c_13878,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_13870]) ).
tcf(c_13893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ 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_3504]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2791]) ).
tcf(c_14032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2752]) ).
tcf(c_14033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2865]) ).
tcf(c_14053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6453]) ).
tcf(c_14071,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_9966]) ).
tcf(c_14105,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10850]) ).
tcf(c_14139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10297]) ).
tcf(c_14291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8596]) ).
tcf(c_14292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6459]) ).
tcf(c_14295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6469]) ).
tcf(c_14296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6410]) ).
tcf(c_14297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6203]) ).
tcf(c_14453,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11088]) ).
tcf(c_14454,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14453]) ).
tcf(c_14455,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11088]) ).
tcf(c_14456,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_14455]) ).
tcf(c_14540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12142]) ).
tcf(c_14541,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_14540]) ).
tcf(c_14550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12151]) ).
tcf(c_14628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12181]) ).
tcf(c_14640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12221]) ).
tcf(c_14725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12329]) ).
tcf(c_14779,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_2068]) ).
tcf(c_14781,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_14779]) ).
tcf(c_14830,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_14831,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_14830]) ).
tcf(c_14910,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_9826]) ).
tcf(c_14911,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_14910]) ).
tcf(c_14939,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(s(X1)) )
| ( s(X0) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_15621,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))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5285]) ).
tcf(c_15625,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_5293]) ).
tcf(c_15626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_4553]) ).
tcf(c_15636,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_2721]) ).
tcf(c_15640,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1711]) ).
tcf(c_15641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1519]) ).
tcf(c_15644,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15641]) ).
tcf(c_15645,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_15640]) ).
tcf(c_15646,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15636]) ).
tcf(c_15654,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_15625]) ).
tcf(c_15657,plain,
( ~ r(z,s(z))
| ~ r(z,s(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_15621]) ).
tcf(c_15731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ 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_12109]) ).
tcf(c_15734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11240]) ).
tcf(c_15736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11152]) ).
tcf(c_15742,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)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10977]) ).
tcf(c_15746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(X2))))
| ~ 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_10216]) ).
tcf(c_15751,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15731]) ).
tcf(c_15785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_15787,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1656]) ).
tcf(c_15788,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_15787]) ).
tcf(c_15806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3460]) ).
tcf(c_15809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_993]) ).
tcf(c_15813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X3)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3033]) ).
tcf(c_15819,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_15813]) ).
tcf(c_15894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12465]) ).
tcf(c_15902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12473]) ).
tcf(c_15920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12493]) ).
tcf(c_15921,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_15920]) ).
tcf(c_15937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12507]) ).
tcf(c_15950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12442]) ).
tcf(c_15979,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12515]) ).
tcf(c_16021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13138]) ).
tcf(c_16022,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_16021]) ).
tcf(c_16023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13138]) ).
tcf(c_16067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12458]) ).
tcf(c_16092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12880]) ).
tcf(c_16232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_16233,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16232]) ).
tcf(c_16255,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_986]) ).
tcf(c_16258,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2726]) ).
tcf(c_16276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ 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_3427]) ).
tcf(c_16279,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16276]) ).
tcf(c_16280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5952]) ).
tcf(c_16281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(X2))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4534]) ).
tcf(c_16390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_12898]) ).
tcf(c_16410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ 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_12938]) ).
tcf(c_16411,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16410]) ).
tcf(c_16422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12941]) ).
tcf(c_16423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12941]) ).
tcf(c_16622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13151]) ).
tcf(c_16623,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(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16622]) ).
tcf(c_16633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13172]) ).
tcf(c_16634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ 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_13172]) ).
tcf(c_16635,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16634]) ).
tcf(c_16661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13193]) ).
tcf(c_16681,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_14910]) ).
tcf(c_16682,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_16681]) ).
tcf(c_16875,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(z))
| r(s(s(s(s(s(X0))))),s(z))
| ( s(s(s(s(s(X0))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_4828]) ).
tcf(c_16876,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_16875]) ).
tcf(c_17437,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14105]) ).
tcf(c_17769,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_5346]) ).
tcf(c_18022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13893]) ).
tcf(c_18023,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18022]) ).
tcf(c_18111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14550]) ).
tcf(c_18199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15736]) ).
tcf(c_18200,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18199]) ).
tcf(c_18249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15785]) ).
tcf(c_18250,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_18249]) ).
tcf(c_18387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16661]) ).
tcf(c_18388,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18387]) ).
tcf(c_18433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14031]) ).
tcf(c_18442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15746]) ).
tcf(c_18470,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_1817]) ).
tcf(c_18471,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18479,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = z )
| ( z != s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_8159]) ).
tcf(c_18482,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_18479]) ).
tcf(c_18491,plain,
! [X0: $i] :
( ( s(s(z)) = z )
| ( z != s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_5040]) ).
tcf(c_18493,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( z != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3689]) ).
tcf(c_18504,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(s(X1)))) )
| ( s(s(s(X0))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_3692]) ).
tcf(c_18566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14725]) ).
tcf(c_18588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15626]) ).
tcf(c_18589,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18588]) ).
tcf(c_18601,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_5753]) ).
tcf(c_18602,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_18601]) ).
tcf(c_18604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14032]) ).
tcf(c_18697,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_6820]) ).
tcf(c_18702,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_14071]) ).
tcf(c_18703,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_18702]) ).
tcf(c_18722,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(X1)))))
| r(s(s(s(s(s(X0))))),s(s(s(s(X1)))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_14071]) ).
tcf(c_18778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15734]) ).
tcf(c_18779,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18778]) ).
tcf(c_18823,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_18839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15742]) ).
tcf(c_18840,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18839]) ).
tcf(c_18846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16276]) ).
tcf(c_18847,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18846]) ).
tcf(c_18912,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8136]) ).
tcf(c_18927,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)) ),
inference(instantiation,[status(thm)],[c_18912]) ).
tcf(c_18940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_19163,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ 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_15621]) ).
tcf(c_19200,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7575]) ).
tcf(c_19267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15806]) ).
tcf(c_19268,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_19267]) ).
tcf(c_19290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_15809]) ).
tcf(c_19320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15894]) ).
tcf(c_19328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15902]) ).
tcf(c_19643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),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_15937]) ).
tcf(c_19651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15979]) ).
tcf(c_19686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(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_16023]) ).
tcf(c_19731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15806]) ).
tcf(c_19772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16390]) ).
tcf(c_19949,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14291]) ).
tcf(c_20006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16092]) ).
tcf(c_20182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15950]) ).
tcf(c_20198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14053]) ).
tcf(c_20245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14139]) ).
tcf(c_20246,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_20245]) ).
tcf(c_20344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_16067]) ).
tcf(c_20469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16280]) ).
tcf(c_20480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16281]) ).
tcf(c_20481,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(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_20480]) ).
tcf(c_20771,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(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_14725]) ).
tcf(c_20773,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_20771]) ).
tcf(c_20933,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8259]) ).
tcf(c_20945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13180]) ).
tcf(c_20948,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_20945]) ).
tcf(c_20969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14640]) ).
tcf(c_20970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_21188,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),X1)
| r(s(s(s(s(s(X0))))),X1)
| ( s(s(s(s(s(X0))))) = X1 ) ),
inference(instantiation,[status(thm)],[c_10911]) ).
tcf(c_21189,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_21188]) ).
tcf(c_21342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13791]) ).
tcf(c_21419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16422]) ).
tcf(c_21436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16423]) ).
tcf(c_22041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16092]) ).
tcf(c_22280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16633]) ).
tcf(c_22281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16633]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16634]) ).
tcf(c_22294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16634]) ).
tcf(c_22295,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))))) ),
inference(instantiation,[status(thm)],[c_22294]) ).
tcf(c_22611,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_20933]) ).
tcf(c_22612,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_22611]) ).
tcf(c_23041,plain,
! [X0: $i] :
( ( s(s(s(z))) = s(s(s(s(X0)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_18697]) ).
tcf(c_23042,plain,
( ( s(s(s(z))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_23041]) ).
tcf(c_23404,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(s(X0))))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_18722]) ).
tcf(c_23405,plain,
( b(s(s(s(s(s(z))))),s(s(s(s(s(z))))))
| r(s(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_23404]) ).
tcf(c_23576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5281]) ).
tcf(c_23577,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_5293]) ).
tcf(c_24074,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18823]) ).
tcf(c_24076,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_6653]) ).
tcf(c_24078,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_5972]) ).
tcf(c_24099,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_24078]) ).
tcf(c_24100,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)) ),
inference(instantiation,[status(thm)],[c_24076]) ).
tcf(c_24101,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24074]) ).
tcf(c_24132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6005]) ).
tcf(c_24136,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24132]) ).
tcf(c_24151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7185]) ).
tcf(c_24152,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7191]) ).
tcf(c_24156,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(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_7186]) ).
tcf(c_24157,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_10839]) ).
tcf(c_24158,plain,
! [X0: $i] :
( ~ b(s(z),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_7196]) ).
tcf(c_24159,plain,
( ~ b(s(z),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_24158]) ).
tcf(c_24160,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24157]) ).
tcf(c_24161,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24156]) ).
tcf(c_24219,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_17769]) ).
tcf(c_24220,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_24219]) ).
tcf(c_24310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8077]) ).
tcf(c_24314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(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_14296]) ).
tcf(c_24315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14295]) ).
tcf(c_24317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ 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_14297]) ).
tcf(c_24324,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_24314]) ).
tcf(c_24363,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_18601]) ).
tcf(c_24364,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_24363]) ).
tcf(c_24427,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_5312]) ).
tcf(c_24428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4183]) ).
tcf(c_24429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),X2)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_4179]) ).
tcf(c_24430,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24429]) ).
tcf(c_24431,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24428]) ).
tcf(c_24432,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24427]) ).
tcf(c_24459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6131]) ).
tcf(c_24462,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24459]) ).
tcf(c_24496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14292]) ).
tcf(c_24499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_13070]) ).
tcf(c_24501,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24499]) ).
tcf(c_24503,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24496]) ).
tcf(c_24522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_14053]) ).
tcf(c_24523,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24522]) ).
tcf(c_24567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18111]) ).
tcf(c_24568,plain,
( ~ b(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_24567]) ).
tcf(c_24569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_18111]) ).
tcf(c_24570,plain,
( ~ b(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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24569]) ).
tcf(c_24588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18199]) ).
tcf(c_24888,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10543]) ).
tcf(c_24889,plain,
( ~ b(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_24888]) ).
tcf(c_25062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18604]) ).
tcf(c_25086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18778]) ).
tcf(c_25087,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_25086]) ).
tcf(c_25158,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(s(X0))))),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_19163]) ).
tcf(c_25236,plain,
! [X0: $i,X1: $i] :
( ~ 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(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19200]) ).
tcf(c_25311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19731]) ).
tcf(c_25386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18433]) ).
tcf(c_25488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ 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_18442]) ).
tcf(c_25522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(X2)))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_20182]) ).
tcf(c_25587,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18566]) ).
tcf(c_25588,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25587]) ).
tcf(c_25589,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18566]) ).
tcf(c_25607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_20344]) ).
tcf(c_25608,plain,
( ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25607]) ).
tcf(c_25644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_21436]) ).
tcf(c_25935,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19320]) ).
tcf(c_25936,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25935]) ).
tcf(c_25951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19328]) ).
tcf(c_25952,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25951]) ).
tcf(c_25964,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19643]) ).
tcf(c_25965,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_25964]) ).
tcf(c_25966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19643]) ).
tcf(c_25967,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25966]) ).
tcf(c_25980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19651]) ).
tcf(c_25981,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25980]) ).
tcf(c_26020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_19686]) ).
tcf(c_26021,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26020]) ).
tcf(c_26043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19772]) ).
tcf(c_26044,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26043]) ).
tcf(c_26108,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21342]) ).
tcf(c_26109,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_26108]) ).
tcf(c_26147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20198]) ).
tcf(c_26563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20969]) ).
tcf(c_26564,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26563]) ).
tcf(c_26576,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_20970]) ).
tcf(c_26577,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26576]) ).
tcf(c_26768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_20469]) ).
tcf(c_26769,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26768]) ).
tcf(c_26923,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_18940]) ).
tcf(c_26991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22280]) ).
tcf(c_26992,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26991]) ).
tcf(c_27155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ 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_20006]) ).
tcf(c_27685,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_17437]) ).
tcf(c_27687,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),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_10543]) ).
tcf(c_27688,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27687]) ).
tcf(c_28046,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_22041]) ).
tcf(c_28047,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_22041]) ).
tcf(c_28048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22041]) ).
tcf(c_28176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(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(s(z)))) ),
inference(instantiation,[status(thm)],[c_21419]) ).
tcf(c_28177,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28176]) ).
tcf(c_28349,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_7241,c_59]) ).
tcf(c_28621,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_28349,c_56,c_202,c_220,c_239,c_689]) ).
tcf(c_28623,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28621]) ).
tcf(c_28635,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(X0)),z)
| r(s(z),s(s(X0)))
| ~ b(s(z),z) ),
inference(resolution,[status(thm)],[c_28621,c_3496]) ).
tcf(c_28636,plain,
( r(z,s(z))
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ~ b(s(z),z) ),
inference(instantiation,[status(thm)],[c_28635]) ).
tcf(c_28638,plain,
! [X0: $i,X1: $i] :
( r(s(s(X1)),z)
| r(s(z),s(s(X1)))
| ~ b(X0,s(z))
| ~ b(X0,s(s(X1))) ),
inference(resolution,[status(thm)],[c_28621,c_977]) ).
tcf(c_28639,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(z),s(s(X1)))
| r(s(s(X1)),s(X2))
| ( s(X1) = X2 )
| ~ b(X0,s(z))
| ~ b(X0,s(s(X1))) ),
inference(resolution,[status(thm)],[c_28621,c_979]) ).
tcf(c_28640,plain,
( r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( s(z) = z )
| ~ b(z,s(z))
| ~ b(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_28639]) ).
tcf(c_28641,plain,
( r(s(s(z)),z)
| r(s(z),s(s(z)))
| ~ b(z,s(z))
| ~ b(z,s(s(z))) ),
inference(instantiation,[status(thm)],[c_28638]) ).
tcf(c_28744,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_2712,c_56]) ).
tcf(c_29006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22281]) ).
tcf(c_29023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ 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_22289]) ).
tcf(c_29793,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_2049]) ).
tcf(c_29794,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_29793]) ).
tcf(c_29907,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22611]) ).
tcf(c_29908,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))) ),
inference(instantiation,[status(thm)],[c_29907]) ).
tcf(c_30092,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25589]) ).
tcf(c_30093,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30092]) ).
tcf(c_30193,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24074]) ).
tcf(c_30194,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_30193]) ).
tcf(c_30241,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),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_24152]) ).
tcf(c_30242,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30241]) ).
tcf(c_30292,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_5575]) ).
tcf(c_30293,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_30292]) ).
tcf(c_30689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_24151]) ).
tcf(c_30690,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30689]) ).
tcf(c_31015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25062]) ).
tcf(c_31016,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31015]) ).
tcf(c_31085,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),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_25158]) ).
tcf(c_31086,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))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31085]) ).
tcf(c_31106,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25236]) ).
tcf(c_31107,plain,
( ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_31106]) ).
tcf(c_31485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ 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_25644]) ).
tcf(c_31486,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31485]) ).
tcf(c_31721,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))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_16232]) ).
tcf(c_31735,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13761]) ).
tcf(c_31736,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13865]) ).
tcf(c_31737,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13778]) ).
tcf(c_31745,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7423]) ).
tcf(c_31749,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(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7086]) ).
tcf(c_31750,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6742]) ).
tcf(c_31751,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6885]) ).
tcf(c_31754,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_31751]) ).
tcf(c_31755,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_31750]) ).
tcf(c_31756,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31749]) ).
tcf(c_31758,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31745]) ).
tcf(c_31761,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_31737]) ).
tcf(c_31762,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_31736]) ).
tcf(c_31763,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_31735]) ).
tcf(c_31766,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31721]) ).
tcf(c_31774,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23577]) ).
tcf(c_31778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8672]) ).
tcf(c_31781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ 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_8114]) ).
tcf(c_31783,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_31781]) ).
tcf(c_31785,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_31778]) ).
tcf(c_31788,plain,
( ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_31774]) ).
tcf(c_31814,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_28744,c_59]) ).
tcf(c_31815,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_31814]) ).
tcf(c_32035,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_26923]) ).
tcf(c_32036,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_32035]) ).
tcf(c_32141,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28046]) ).
tcf(c_32142,plain,
( ~ b(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_32141]) ).
tcf(c_32158,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_28047]) ).
tcf(c_32159,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_32158]) ).
tcf(c_32745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25311]) ).
tcf(c_32746,plain,
( ~ r(z,s(s(z)))
| ~ 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_32745]) ).
tcf(c_32788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25488]) ).
tcf(c_32789,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_32788]) ).
tcf(c_33170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_26043]) ).
tcf(c_33171,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33170]) ).
tcf(c_33203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26147]) ).
tcf(c_33204,plain,
( ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_33203]) ).
tcf(c_33337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_24310]) ).
tcf(c_33338,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33337]) ).
tcf(c_34128,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(s(X1))))))
| r(X0,s(s(s(s(s(X1))))))
| ( X0 = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_12796]) ).
tcf(c_34129,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_34128]) ).
tcf(c_34330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18839]) ).
tcf(c_34331,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34330]) ).
tcf(c_34714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_26991]) ).
tcf(c_34715,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_34714]) ).
tcf(c_34958,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_14830]) ).
tcf(c_34963,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_34958]) ).
tcf(c_35030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),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_24314]) ).
tcf(c_35031,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35030]) ).
tcf(c_35149,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(s(s(s(X1)))) )
| ( s(X0) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_14939]) ).
tcf(c_35150,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_35149]) ).
tcf(c_35374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_5285]) ).
tcf(c_35378,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_5293]) ).
tcf(c_35384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2782]) ).
tcf(c_35386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2639]) ).
tcf(c_35388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2774]) ).
tcf(c_35389,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2721]) ).
tcf(c_35393,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_1711]) ).
tcf(c_35398,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_35393]) ).
tcf(c_35399,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35389]) ).
tcf(c_35400,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35388]) ).
tcf(c_35401,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35386]) ).
tcf(c_35403,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35384]) ).
tcf(c_35407,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_35378]) ).
tcf(c_35409,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35374]) ).
tcf(c_35700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_24588]) ).
tcf(c_35704,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35700]) ).
tcf(c_35722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24317]) ).
tcf(c_35723,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35722]) ).
tcf(c_35792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_24315]) ).
tcf(c_35793,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35792]) ).
tcf(c_36110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23576]) ).
tcf(c_36111,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36110]) ).
tcf(c_36335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25522]) ).
tcf(c_36336,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))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36335]) ).
tcf(c_36534,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_36535,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_36534]) ).
tcf(c_36570,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_18493]) ).
tcf(c_36572,plain,
! [X0: $i] :
( ( s(s(z)) = z )
| ( z != s(s(s(s(s(X0))))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_18491]) ).
tcf(c_36577,plain,
( ( s(s(z)) = z )
| ( z != s(s(s(s(s(z))))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_36572]) ).
tcf(c_36579,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_36570]) ).
tcf(c_36580,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(s(s(X1))))) )
| ( s(s(s(X0))) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_18504]) ).
tcf(c_36589,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(s(s(z))))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_36580]) ).
tcf(c_37485,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_27685]) ).
tcf(c_37486,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37485]) ).
tcf(c_37556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),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(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_25966]) ).
tcf(c_37557,plain,
( ~ 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(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_37556]) ).
tcf(c_38504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_24314]) ).
tcf(c_38505,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38504]) ).
tcf(c_38892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_27155]) ).
tcf(c_38893,plain,
( ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_38892]) ).
tcf(c_39192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_20480]) ).
tcf(c_39217,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39192]) ).
tcf(c_39317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_28048]) ).
tcf(c_39318,plain,
( ~ b(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(s(z)))))) ),
inference(instantiation,[status(thm)],[c_39317]) ).
tcf(c_39374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29006]) ).
tcf(c_39375,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39374]) ).
tcf(c_39378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29023]) ).
tcf(c_39379,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39378]) ).
tcf(c_39641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ 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_19290]) ).
tcf(c_39642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_19267]) ).
tcf(c_39669,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_39642]) ).
tcf(c_39670,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39641]) ).
tcf(c_40430,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_16255]) ).
tcf(c_40431,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_40430]) ).
tcf(c_41418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_25386]) ).
tcf(c_41435,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_41418]) ).
tcf(c_42030,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16258]) ).
tcf(c_42031,plain,
( ~ r(s(s(z)),z)
| ~ 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_42030]) ).
tcf(c_42430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3849]) ).
tcf(c_42431,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_42430]) ).
tcf(c_43020,plain,
! [X0: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7870]) ).
tcf(c_43021,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)))))) ),
inference(instantiation,[status(thm)],[c_43020]) ).
tcf(c_43022,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7870]) ).
tcf(c_43023,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43022]) ).
tcf(c_43279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1711]) ).
tcf(c_43282,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_43279]) ).
tcf(c_43540,plain,
! [X0: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_19949]) ).
tcf(c_43541,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_43540]) ).
tcf(c_44073,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3877]) ).
tcf(c_44074,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_44073]) ).
tcf(c_44084,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_44074,c_43541,c_43282,c_43023,c_43021,c_42431,c_42031,c_41435,c_40431,c_39670,c_39669,c_39379,c_39375,c_39318,c_39217,c_38893,c_38505,c_37557,c_37486,c_36589,c_36579,c_36577,c_36535,c_36336,c_36111,c_35793,c_35723,c_35704,c_35409,c_35407,c_35403,c_35401,c_35400,c_35399,c_35398,c_35150,c_35031,c_34963,c_34715,c_34331,c_34129,c_33338,c_33204,c_33171,c_32789,c_32746,c_32159,c_32142,c_32036,c_31815,c_31788,c_31785,c_31783,c_31766,c_31763,c_31762,c_31761,c_31758,c_31756,c_31755,c_31754,c_31486,c_31107,c_31086,c_31016,c_30690,c_30293,c_30242,c_30194,c_30093,c_29908,c_29794,c_28641,c_28640,c_28636,c_28623,c_28177,c_27688,c_26992,c_26769,c_26577,c_26564,c_26109,c_26044,c_26021,c_25981,c_25967,c_25965,c_25952,c_25936,c_25608,c_25588,c_25087,c_24889,c_24570,c_24568,c_24523,c_24503,c_24501,c_24462,c_24432,c_24431,c_24430,c_24364,c_24324,c_24220,c_24161,c_24160,c_24159,c_24136,c_24101,c_24100,c_24099,c_23405,c_23042,c_22612,c_22295,c_21189,c_20948,c_20773,c_20481,c_20246,c_19268,c_18927,c_18847,c_18840,c_18779,c_18703,c_18602,c_18589,c_18482,c_18471,c_18388,c_18250,c_18200,c_18023,c_16876,c_16682,c_16635,c_16623,c_16411,c_16279,c_16233,c_16022,c_15921,c_15819,c_15788,c_15751,c_15657,c_15654,c_15646,c_15645,c_15644,c_14911,c_14831,c_14781,c_14541,c_14456,c_14454,c_13878,c_13876,c_13801,c_13798,c_13783,c_13782,c_13779,c_13586,c_13575,c_12956,c_12529,c_12516,c_12492,c_12338,c_12307,c_12137,c_12078,c_11029,c_10299,c_9827,c_9705,c_9645,c_9578,c_9515,c_9254,c_9005,c_8874,c_8673,c_8626,c_8477,c_8470,c_8354,c_8346,c_8167,c_8092,c_7990,c_7890,c_7871,c_7350,c_7349,c_7271,c_7270,c_7200,c_7198,c_7197,c_7083,c_7061,c_7060,c_6886,c_6819,c_6743,c_6663,c_6654,c_6179,c_6171,c_6022,c_5754,c_5576,c_5500,c_5499,c_5491,c_5400,c_5058,c_4920,c_4917,c_4903,c_4888,c_4829,c_4557,c_4535,c_4319,c_4099,c_4043,c_3888,c_3885,c_3883,c_3854,c_3851,c_3850,c_3657,c_3649,c_3628,c_3623,c_3530,c_3481,c_3477,c_3270,c_3253,c_3219,c_2922,c_2793,c_2650,c_2624,c_2610,c_2354,c_2051,c_2050,c_2002,c_1930,c_1870,c_1818,c_1723,c_1658,c_1586,c_1356,c_1349,c_1120,c_1075,c_996,c_955,c_953,c_947,c_936,c_888,c_877,c_869,c_833,c_717,c_701,c_676,c_573,c_536,c_501,c_475,c_431,c_381,c_363,c_330,c_253,c_242,c_241,c_238,c_231,c_221,c_203,c_198,c_197,c_193,c_192,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA127-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:53:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 14.52/2.80 % SZS status Started for theBenchmark.p
% 14.52/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 14.52/2.80
% 14.52/2.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.52/2.80
% 14.52/2.80 % ------ iProver source info
% 14.52/2.80
% 14.52/2.80 % git: date: 2026-07-19 20:42:38 +0200
% 14.52/2.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.52/2.80 % git: non_committed_changes: false
% 14.52/2.80
% 14.52/2.80 % ------ Parsing...% successful
% 14.52/2.80
% 14.52/2.80
% 14.52/2.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.52/2.80
% 14.52/2.80 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 14.52/2.80
% 14.52/2.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.52/2.80
% 14.52/2.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.52/2.80 % ------ Proving...
% 14.52/2.80 % ------ Problem Properties
% 14.52/2.80
% 14.52/2.80 %
% 14.52/2.80 % clauses 7
% 14.52/2.80 % conjectures 0
% 14.52/2.80 % EPR 5
% 14.52/2.80 % Horn 6
% 14.52/2.80 % unary 3
% 14.52/2.80 % binary 1
% 14.52/2.80 % lits 16
% 14.52/2.80 % lits eq 4
% 14.52/2.80 % fd_pure 0
% 14.52/2.80 % fd_pseudo 0
% 14.52/2.80 % fd_cond 0
% 14.52/2.80 % fd_pseudo_cond 2
% 14.52/2.80 % AC symbols 0
% 14.52/2.80
% 14.52/2.80 % ------ Input Options Time Limit: Unbounded
% 14.52/2.80
% 14.52/2.80
% 14.52/2.80 % ------
% 14.52/2.80 % Current options:
% 14.52/2.80 % ------
% 14.52/2.80
% 14.52/2.80
% 14.52/2.80 %
% 14.52/2.80
% 14.52/2.80 % ------ Proving...
% 14.52/2.80 %
% 14.52/2.80
% 14.52/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 14.52/2.80
% 14.52/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.52/2.81
% 14.52/2.81
%------------------------------------------------------------------------------