%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA166-1 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:24:26 PM UTC 2026
% Result : Unsatisfiable 24.78s 4.57s
% Output : CNFRefutation 24.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 913 ( 25 unt; 0 def)
% Number of atoms : 3870 ( 318 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 6431 (3474 ~;2957 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 2001 ( 0 sgn2001 !; 0 ?;1987 :)
% 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,X0,X1] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X0,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_105,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_196,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_197,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_198,plain,
( b(s(z),z)
| r(s(z),z)
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_197]) ).
tcf(c_199,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_201,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_202,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_203,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_204,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_208,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_209,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( ~ r(X0,z)
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_226,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_227,plain,
s(z) = s(z),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( X1 != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_210]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_234,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_235,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_236,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_243,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_244,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_245,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_197]) ).
tcf(c_246,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_245]) ).
tcf(c_248,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_249,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_250,plain,
( b(z,s(z))
| r(z,s(z))
| ( z = s(z) ) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_251,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(X1) )
| ( s(X0) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_210]) ).
tcf(c_275,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_239]) ).
tcf(c_276,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_275]) ).
tcf(c_277,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(X1))
| r(s(s(X0)),s(X1))
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_239]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(X1) != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(X0) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_325,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_239]) ).
tcf(c_326,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_333,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_264]) ).
tcf(c_352,plain,
! [X0: $i] :
( ( s(z) = s(X0) )
| ( s(z) != s(z) )
| ( s(X0) != s(z) ) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_353,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_279]) ).
tcf(c_359,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_360,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_370,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_371,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_383,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_391,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0)))
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(X1)))
| r(X0,s(s(X1)))
| ( X0 = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(X1)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_417,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_282]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(s(X0)) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_282]) ).
tcf(c_454,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(z) != s(z) )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_352]) ).
tcf(c_462,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_463,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_462]) ).
tcf(c_491,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_492,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_491]) ).
tcf(c_495,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_372]) ).
tcf(c_497,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_545,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_548,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_570,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_571,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_206]) ).
tcf(c_608,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_353]) ).
tcf(c_609,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_610,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_609]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| r(X2,X1)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_107,c_60]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_107,c_105]) ).
tcf(c_653,plain,
! [X0: $i] :
( b(z,s(s(s(X0))))
| r(z,s(s(s(X0))))
| ( z = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_718,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_719,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(X1)) )
| ( s(s(X0)) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_725,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_739,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_740,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(X1))))
| r(X0,s(s(s(X1))))
| ( X0 = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_752,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_534]) ).
tcf(c_753,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_752]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_630,c_60]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_830,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_760,c_56]) ).
tcf(c_831,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_830]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(s(X3),X4)
| ~ b(s(X1),X2)
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),s(z))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X0)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_912,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(X1)) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_1055,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(s(X1))))
| r(s(s(X0)),s(s(s(X1))))
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_865]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_856]) ).
tcf(c_1120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_855]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_862]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_1186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_870]) ).
tcf(c_1206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_872]) ).
tcf(c_1226,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_751]) ).
tcf(c_1227,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_1226]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_817]) ).
tcf(c_1240,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_765]) ).
tcf(c_1241,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_1242,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_748]) ).
tcf(c_1243,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_1244,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_1243]) ).
tcf(c_1247,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_1240]) ).
tcf(c_1248,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1258,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_629,c_60]) ).
tcf(c_1259,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_629,c_760]) ).
tcf(c_1400,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_1401,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_1400]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ 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_1163]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1163]) ).
tcf(c_1431,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_1453,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_1258,c_57]) ).
tcf(c_1460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1102]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_817]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_765]) ).
tcf(c_1495,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_748]) ).
tcf(c_1498,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(X1))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1055]) ).
tcf(c_1510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1182]) ).
tcf(c_1520,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_1116]) ).
tcf(c_1525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1116]) ).
tcf(c_1548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_1556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X3)
| ~ b(s(X2),X3)
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1120]) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(s(X3),X4)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1120]) ).
tcf(c_1575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_1581,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_1582,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1581]) ).
tcf(c_1615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1187]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1187]) ).
tcf(c_1630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1197]) ).
tcf(c_1632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1197]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( X1 != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_1768,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1418]) ).
tcf(c_1769,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_1768]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1496]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1431]) ).
tcf(c_1817,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_1520]) ).
tcf(c_1818,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_1817]) ).
tcf(c_1822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_1827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1510]) ).
tcf(c_1871,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_1498]) ).
tcf(c_1872,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_1871]) ).
tcf(c_1877,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_1890,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(X1))) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_912]) ).
tcf(c_1891,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(X0))))
| r(s(s(s(z))),s(s(s(X0))))
| ( s(s(s(z))) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1498]) ).
tcf(c_1909,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_245]) ).
tcf(c_1910,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_1909]) ).
tcf(c_1924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1559]) ).
tcf(c_1927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),X3)
| ~ 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_1559]) ).
tcf(c_1933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_1935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(s(X3),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1182]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_872]) ).
tcf(c_1938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(s(X0),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_1950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X1)))
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1187]) ).
tcf(c_1951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X0))
| ~ b(s(X3),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1186]) ).
tcf(c_2031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_2033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X1))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_2064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1556]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(X1,s(s(z)))
| ~ b(s(X3),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1615]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1616]) ).
tcf(c_2107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1621]) ).
tcf(c_2118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1630]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1622]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1622]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1622]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1548]) ).
tcf(c_2263,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_1259,c_57]) ).
tcf(c_2270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X1)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1632]) ).
tcf(c_2279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1632]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1632]) ).
tcf(c_2289,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_2292,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_2352,plain,
! [X0: $i] :
( b(s(z),s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_2393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_2445,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_1877]) ).
tcf(c_2446,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_2445]) ).
tcf(c_2454,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1877]) ).
tcf(c_2455,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_2454]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2292]) ).
tcf(c_2489,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2488]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1827]) ).
tcf(c_2656,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2393]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2402]) ).
tcf(c_2705,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_2706,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_2726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1927]) ).
tcf(c_2727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ 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(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_2728,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_2727]) ).
tcf(c_2731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),s(X2))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_2732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_2733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X4)
| ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_2737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1934]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1937]) ).
tcf(c_2760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1938]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1938]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1950]) ).
tcf(c_2785,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2784]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1950]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2031]) ).
tcf(c_2871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(z)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2080]) ).
tcf(c_2876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2107]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2118]) ).
tcf(c_2924,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_382]) ).
tcf(c_2925,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_2924]) ).
tcf(c_2927,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1822]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_2939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2270]) ).
tcf(c_2985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2033]) ).
tcf(c_3002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2101]) ).
tcf(c_3019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_3031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2176]) ).
tcf(c_3052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2178]) ).
tcf(c_3067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2273]) ).
tcf(c_3072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2279]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2281]) ).
tcf(c_3080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X2)
| ~ b(X3,s(s(X4)))
| ~ b(X2,s(s(X4)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2281]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2402]) ).
tcf(c_3099,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2393]) ).
tcf(c_3105,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_202]) ).
tcf(c_3106,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_3105]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_3186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1559]) ).
tcf(c_3187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1559]) ).
tcf(c_3213,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_3214,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_3213]) ).
tcf(c_3301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_3303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1933]) ).
tcf(c_3311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2063]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1937]) ).
tcf(c_3342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1525]) ).
tcf(c_3351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1460]) ).
tcf(c_3453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2064]) ).
tcf(c_3508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1616]) ).
tcf(c_3524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1924]) ).
tcf(c_3592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1937]) ).
tcf(c_3628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1935]) ).
tcf(c_3634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1951]) ).
tcf(c_3635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1951]) ).
tcf(c_3688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2402]) ).
tcf(c_3689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2393]) ).
tcf(c_3701,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_278]) ).
tcf(c_3735,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_3842,plain,
! [X0: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_1890]) ).
tcf(c_3843,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_1498]) ).
tcf(c_3844,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_3843]) ).
tcf(c_3845,plain,
( ( s(s(s(s(s(z))))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_3842]) ).
tcf(c_3866,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_1891]) ).
tcf(c_3867,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_3866]) ).
tcf(c_3972,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(X1))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1498]) ).
tcf(c_4079,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_653]) ).
tcf(c_4080,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_4079]) ).
tcf(c_4129,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_4130,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_4129]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2927]) ).
tcf(c_4161,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_4160]) ).
tcf(c_4162,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_751]) ).
tcf(c_4164,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2927]) ).
tcf(c_4165,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4164]) ).
tcf(c_4167,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3098]) ).
tcf(c_4168,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_4167]) ).
tcf(c_4188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2933]) ).
tcf(c_4197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2656]) ).
tcf(c_4206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2661]) ).
tcf(c_4225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3688]) ).
tcf(c_4233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3689]) ).
tcf(c_4342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3311]) ).
tcf(c_4380,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_3634]) ).
tcf(c_4392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ 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(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2727]) ).
tcf(c_4393,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_4392]) ).
tcf(c_4398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3592]) ).
tcf(c_4481,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_1909]) ).
tcf(c_4482,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_4481]) ).
tcf(c_4484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_4487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_4498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2732]) ).
tcf(c_4536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2820]) ).
tcf(c_4537,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_4536]) ).
tcf(c_4545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2733]) ).
tcf(c_4558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2754]) ).
tcf(c_4566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2760]) ).
tcf(c_4567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(s(X3),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2760]) ).
tcf(c_4585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2871]) ).
tcf(c_4600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2939]) ).
tcf(c_4638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3052]) ).
tcf(c_4719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3351]) ).
tcf(c_4729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3453]) ).
tcf(c_4742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3628]) ).
tcf(c_4806,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_1453,c_56]) ).
tcf(c_4847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3002]) ).
tcf(c_4868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2762]) ).
tcf(c_4872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2985]) ).
tcf(c_4955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3031]) ).
tcf(c_4978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3072]) ).
tcf(c_5017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3301]) ).
tcf(c_5021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3327]) ).
tcf(c_5046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3078]) ).
tcf(c_5089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3524]) ).
tcf(c_5130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3187]) ).
tcf(c_5145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3303]) ).
tcf(c_5146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(X4,s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3303]) ).
tcf(c_5179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_5180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_5181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3067]) ).
tcf(c_5210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(s(X0)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3508]) ).
tcf(c_5242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(s(s(X0))) )
| ( s(X2) != s(X1) )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_5243,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_417]) ).
tcf(c_5246,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_206]) ).
tcf(c_5247,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_5246]) ).
tcf(c_5294,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(z) != s(z) )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_5338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2661]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3019]) ).
tcf(c_5576,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(X0)))))
| r(s(z),s(s(s(s(X0)))))
| ( s(z) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_2352]) ).
tcf(c_5577,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_5576]) ).
tcf(c_5832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(s(s(X0))) )
| ( s(X2) != s(s(X1)) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_5242]) ).
tcf(c_5853,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_5243]) ).
tcf(c_5854,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_5853]) ).
tcf(c_6004,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_4806,c_59]) ).
tcf(c_6062,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_1646]) ).
tcf(c_6063,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_6062]) ).
tcf(c_6078,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4742]) ).
tcf(c_6079,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_6078]) ).
tcf(c_6087,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_275]) ).
tcf(c_6088,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_6087]) ).
tcf(c_6100,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4342]) ).
tcf(c_6101,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_6100]) ).
tcf(c_6126,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_4162]) ).
tcf(c_6137,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = X1 )
| ( X1 != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1646]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i] :
( ~ 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_4206]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_4233]) ).
tcf(c_6200,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1495]) ).
tcf(c_6201,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_6202,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_6201]) ).
tcf(c_6203,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6200]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_4197]) ).
tcf(c_6208,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_1809]) ).
tcf(c_6209,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_6208]) ).
tcf(c_6239,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_6333,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5338]) ).
tcf(c_6334,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4206]) ).
tcf(c_6336,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4188]) ).
tcf(c_6337,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4167]) ).
tcf(c_6338,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1495]) ).
tcf(c_6341,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6338]) ).
tcf(c_6342,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6337]) ).
tcf(c_6343,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_6334]) ).
tcf(c_6344,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4197]) ).
tcf(c_6348,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_6344]) ).
tcf(c_6508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3186]) ).
tcf(c_6591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5338]) ).
tcf(c_6592,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(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4206]) ).
tcf(c_6593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_4233]) ).
tcf(c_6595,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4167]) ).
tcf(c_6597,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1494]) ).
tcf(c_6598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X0))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4197]) ).
tcf(c_6600,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1809]) ).
tcf(c_6659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4558]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5496]) ).
tcf(c_6719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4566]) ).
tcf(c_6726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4567]) ).
tcf(c_6774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4398]) ).
tcf(c_6835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4484]) ).
tcf(c_6868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4978]) ).
tcf(c_6937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4536]) ).
tcf(c_6938,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6937]) ).
tcf(c_6954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4585]) ).
tcf(c_6996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5145]) ).
tcf(c_6998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5145]) ).
tcf(c_7003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4600]) ).
tcf(c_7004,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_7003]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4638]) ).
tcf(c_7068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5146]) ).
tcf(c_7103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(X3))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4729]) ).
tcf(c_7154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4487]) ).
tcf(c_7195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5130]) ).
tcf(c_7208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4545]) ).
tcf(c_7310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4847]) ).
tcf(c_7311,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7310]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4868]) ).
tcf(c_7357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4872]) ).
tcf(c_7384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4955]) ).
tcf(c_7445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5017]) ).
tcf(c_7500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5021]) ).
tcf(c_7555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5089]) ).
tcf(c_7610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5046]) ).
tcf(c_7629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_5179]) ).
tcf(c_7662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ 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_5180]) ).
tcf(c_7674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5181]) ).
tcf(c_7808,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2289]) ).
tcf(c_7811,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7808]) ).
tcf(c_7847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3689]) ).
tcf(c_7894,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),z)
| r(s(s(s(s(s(X0))))),z)
| ( s(s(s(s(s(X0))))) = z ) ),
inference(instantiation,[status(thm)],[c_4481]) ).
tcf(c_7895,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_7894]) ).
tcf(c_7917,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_6137]) ).
tcf(c_7918,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_7917]) ).
tcf(c_8001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(s(s(X0))) )
| ( s(X2) != s(s(s(X1))) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_5832]) ).
tcf(c_8097,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_3735]) ).
tcf(c_8102,plain,
! [X0: $i,X1: $i] :
( ~ 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_6196]) ).
tcf(c_8103,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_8102]) ).
tcf(c_8106,plain,
! [X0: $i] :
( b(s(s(s(s(z)))),s(X0))
| r(s(s(s(s(z)))),s(X0))
| ( s(s(s(s(z)))) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_3701]) ).
tcf(c_8107,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_8106]) ).
tcf(c_8111,plain,
! [X0: $i,X1: $i] :
( ~ 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_6197]) ).
tcf(c_8112,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8111]) ).
tcf(c_8134,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6206]) ).
tcf(c_8135,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8134]) ).
tcf(c_8140,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_1226]) ).
tcf(c_8141,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_8140]) ).
tcf(c_8161,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_6239]) ).
tcf(c_8188,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6333]) ).
tcf(c_8201,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6334]) ).
tcf(c_8202,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_8201]) ).
tcf(c_8229,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6336]) ).
tcf(c_8230,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8229]) ).
tcf(c_8272,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6591]) ).
tcf(c_8287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6592]) ).
tcf(c_8295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6593]) ).
tcf(c_8312,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6597]) ).
tcf(c_8452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7847]) ).
tcf(c_8453,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_8452]) ).
tcf(c_8500,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_8503,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_8500]) ).
tcf(c_8533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4719]) ).
tcf(c_8542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4498]) ).
tcf(c_8610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7629]) ).
tcf(c_8748,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_8749,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1248]) ).
tcf(c_8751,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_495]) ).
tcf(c_8752,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_752]) ).
tcf(c_8753,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_8752]) ).
tcf(c_8754,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_8751]) ).
tcf(c_8755,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_8749]) ).
tcf(c_8756,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8748]) ).
tcf(c_8759,plain,
! [X0: $i,X1: $i] :
( ~ 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_4225]) ).
tcf(c_8761,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_765]) ).
tcf(c_8762,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_762]) ).
tcf(c_8765,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_8762]) ).
tcf(c_8766,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_8761]) ).
tcf(c_8778,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_6087]) ).
tcf(c_8779,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_8778]) ).
tcf(c_8870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6508]) ).
tcf(c_8906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6692]) ).
tcf(c_9005,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_4162]) ).
tcf(c_9006,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_9005]) ).
tcf(c_9029,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_3105]) ).
tcf(c_9030,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_9029]) ).
tcf(c_9174,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_3972]) ).
tcf(c_9487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7555]) ).
tcf(c_9944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2876]) ).
tcf(c_10061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(s(X1)))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6659]) ).
tcf(c_10068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6719]) ).
tcf(c_10072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6719]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6835]) ).
tcf(c_10293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6996]) ).
tcf(c_10295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6996]) ).
tcf(c_10300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6998]) ).
tcf(c_10315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7068]) ).
tcf(c_10379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7003]) ).
tcf(c_10391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7025]) ).
tcf(c_10429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7154]) ).
tcf(c_10484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7103]) ).
tcf(c_10535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7357]) ).
tcf(c_10608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7195]) ).
tcf(c_10819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7500]) ).
tcf(c_10894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7208]) ).
tcf(c_11317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_7662]) ).
tcf(c_11329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7674]) ).
tcf(c_11429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6868]) ).
tcf(c_11448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1420]) ).
tcf(c_11449,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_11448]) ).
tcf(c_11534,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4380]) ).
tcf(c_11537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X3)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2882]) ).
tcf(c_11553,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_1817]) ).
tcf(c_11554,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_11553]) ).
tcf(c_11557,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11537]) ).
tcf(c_11579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_11581,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_11579]) ).
tcf(c_11607,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_6004,c_56,c_208,c_226,c_248,c_391]) ).
tcf(c_11609,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11607]) ).
tcf(c_11657,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_2263,c_56]) ).
tcf(c_11688,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(s(s(X1)))))
| r(s(s(X0)),s(s(s(s(X1)))))
| ( s(s(X0)) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_6126]) ).
tcf(c_11689,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_11688]) ).
tcf(c_11761,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = s(s(X1)) )
| ( s(s(X1)) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_7917]) ).
tcf(c_11762,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(z)) != s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_11761]) ).
tcf(c_11868,plain,
! [X0: $i,X1: $i] :
( ~ 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_8102]) ).
tcf(c_11869,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11868]) ).
tcf(c_11878,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8111]) ).
tcf(c_11879,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_11878]) ).
tcf(c_11937,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8201]) ).
tcf(c_11986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(s(X1))))
| ~ 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_8287]) ).
tcf(c_12035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8452]) ).
tcf(c_12239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8906]) ).
tcf(c_12240,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12239]) ).
tcf(c_12317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9487]) ).
tcf(c_12329,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_11657,c_59]) ).
tcf(c_12616,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_8097]) ).
tcf(c_12721,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(X0),s(s(X1)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(X0)) ),
inference(instantiation,[status(thm)],[c_3342]) ).
tcf(c_12759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(X1),s(s(X0)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2731]) ).
tcf(c_12765,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_12759]) ).
tcf(c_12779,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X0),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(X0))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8610]) ).
tcf(c_12780,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12779]) ).
tcf(c_12928,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_8140]) ).
tcf(c_12929,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_12928]) ).
tcf(c_13063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(X0),s(s(X1)))
| ~ b(s(X0),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3635]) ).
tcf(c_13085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X1)
| ~ b(X2,s(s(X3)))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(s(X0),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3080]) ).
tcf(c_13116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7610]) ).
tcf(c_13121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(s(X1),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4567]) ).
tcf(c_13230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8610]) ).
tcf(c_13263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6954]) ).
tcf(c_13325,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z)) ),
inference(global_subsumption_just,[status(thm)],[c_12329,c_56,c_196,c_202]) ).
tcf(c_13327,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_13325]) ).
tcf(c_13371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4978]) ).
tcf(c_13381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_2732]) ).
tcf(c_13394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5210]) ).
tcf(c_13399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X2)
| ~ b(X3,s(s(X4)))
| ~ b(X2,s(s(X4)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3080]) ).
tcf(c_13400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2281]) ).
tcf(c_13541,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_13603,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8161]) ).
tcf(c_13604,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_13603]) ).
tcf(c_13611,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8452]) ).
tcf(c_13614,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_13611]) ).
tcf(c_13618,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8759]) ).
tcf(c_13621,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1)))) ),
inference(instantiation,[status(thm)],[c_8749]) ).
tcf(c_13623,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_8761]) ).
tcf(c_13626,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_13623]) ).
tcf(c_13627,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_13621]) ).
tcf(c_13628,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13618]) ).
tcf(c_13795,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8188]) ).
tcf(c_13796,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_13795]) ).
tcf(c_13798,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8272]) ).
tcf(c_13851,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_9174]) ).
tcf(c_13852,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_13851]) ).
tcf(c_13970,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_14277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9944]) ).
tcf(c_14456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10061]) ).
tcf(c_14547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2276]) ).
tcf(c_14657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10072]) ).
tcf(c_14658,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_14657]) ).
tcf(c_14730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10068]) ).
tcf(c_15038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(z)),s(s(s(z))))
| ~ 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(z)))) ),
inference(instantiation,[status(thm)],[c_10248]) ).
tcf(c_15107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10293]) ).
tcf(c_15128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10300]) ).
tcf(c_15271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10379]) ).
tcf(c_15272,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15271]) ).
tcf(c_15273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10379]) ).
tcf(c_15274,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15273]) ).
tcf(c_15276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10379]) ).
tcf(c_15295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_10391]) ).
tcf(c_15356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(X2),s(s(X0)))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X0)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10295]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(z))))
| ~ 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(z)))) ),
inference(instantiation,[status(thm)],[c_10484]) ).
tcf(c_15479,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15478]) ).
tcf(c_15585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_15586,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_15585]) ).
tcf(c_15589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_15590,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_15589]) ).
tcf(c_15591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_15594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10608]) ).
tcf(c_15919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11329]) ).
tcf(c_15936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11429]) ).
tcf(c_15937,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_15936]) ).
tcf(c_16030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11317]) ).
tcf(c_16031,plain,
( ~ b(z,s(z))
| ~ b(s(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(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16030]) ).
tcf(c_16440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2218]) ).
tcf(c_16655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_817]) ).
tcf(c_16656,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_765]) ).
tcf(c_16665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_8452]) ).
tcf(c_16693,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8749]) ).
tcf(c_16807,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_16808,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_16807]) ).
tcf(c_16910,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_4129]) ).
tcf(c_16911,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_16910]) ).
tcf(c_17226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7310]) ).
tcf(c_17258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8870]) ).
tcf(c_17324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ 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_10429]) ).
tcf(c_17325,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_17324]) ).
tcf(c_17326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10429]) ).
tcf(c_17327,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_17326]) ).
tcf(c_17595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10315]) ).
tcf(c_17720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10535]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10819]) ).
tcf(c_17980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10894]) ).
tcf(c_18223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(s(X2),s(X1))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2271]) ).
tcf(c_18426,plain,
! [X0: $i] :
( ( s(s(s(z))) = X0 )
| ( s(s(s(s(z)))) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_5246]) ).
tcf(c_18432,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_18426]) ).
tcf(c_18471,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( s(s(s(s(X0)))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_5246]) ).
tcf(c_18627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6774]) ).
tcf(c_18763,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_11534]) ).
tcf(c_18796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8542]) ).
tcf(c_18823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(z,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11537]) ).
tcf(c_18828,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_18823]) ).
tcf(c_19271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7384]) ).
tcf(c_19274,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_19271]) ).
tcf(c_19295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X0)),s(X3))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_19440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7445]) ).
tcf(c_19758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4392]) ).
tcf(c_19759,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_19758]) ).
tcf(c_20088,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_13970]) ).
tcf(c_20089,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_20088]) ).
tcf(c_20736,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_11937]) ).
tcf(c_20737,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_20736]) ).
tcf(c_20870,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_13603]) ).
tcf(c_20871,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_20870]) ).
tcf(c_21005,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_13798]) ).
tcf(c_21006,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_21005]) ).
tcf(c_21085,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_16656]) ).
tcf(c_21108,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_16693]) ).
tcf(c_21109,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21108]) ).
tcf(c_21380,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X0))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(X0))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_12721]) ).
tcf(c_21381,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_21380]) ).
tcf(c_21436,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_16655]) ).
tcf(c_21489,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_16665]) ).
tcf(c_21490,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_21489]) ).
tcf(c_21491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ 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_16665]) ).
tcf(c_21571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_12035]) ).
tcf(c_21572,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_21571]) ).
tcf(c_21587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_11986]) ).
tcf(c_21625,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15295]) ).
tcf(c_21856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_18796]) ).
tcf(c_22069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_15919]) ).
tcf(c_22189,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12239]) ).
tcf(c_22190,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22189]) ).
tcf(c_22192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12239]) ).
tcf(c_22247,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),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(z))))) ),
inference(instantiation,[status(thm)],[c_12317]) ).
tcf(c_22248,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_22247]) ).
tcf(c_22601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X0))
| ~ b(s(s(s(z))),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13063]) ).
tcf(c_22617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14456]) ).
tcf(c_22813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X0)
| ~ b(X1,s(s(X2)))
| ~ b(X0,s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),X0)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13085]) ).
tcf(c_22814,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22813]) ).
tcf(c_22856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_15107]) ).
tcf(c_22898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13116]) ).
tcf(c_22917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_15356]) ).
tcf(c_22975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13121]) ).
tcf(c_23187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17226]) ).
tcf(c_23256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17595]) ).
tcf(c_23312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),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_17980]) ).
tcf(c_23313,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_23312]) ).
tcf(c_23780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13371]) ).
tcf(c_23861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X3))),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13381]) ).
tcf(c_23949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13394]) ).
tcf(c_24073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16030]) ).
tcf(c_24243,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_6598]) ).
tcf(c_24246,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_6600]) ).
tcf(c_24247,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_6595]) ).
tcf(c_24248,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24247]) ).
tcf(c_24249,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24246]) ).
tcf(c_24251,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24243]) ).
tcf(c_24261,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8312]) ).
tcf(c_24263,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24261]) ).
tcf(c_24292,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(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_6591]) ).
tcf(c_24293,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_24292]) ).
tcf(c_24405,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_17928]) ).
tcf(c_24536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ 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_18627]) ).
tcf(c_25588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17324]) ).
tcf(c_25750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_18223]) ).
tcf(c_25777,plain,
! [X0: $i,X1: $i] :
( ( X0 = s(s(s(s(X1)))) )
| ( s(X0) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_260]) ).
tcf(c_25778,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_25777]) ).
tcf(c_25809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(s(s(X0))) )
| ( s(X2) != s(s(s(s(s(X1))))) )
| ( s(s(s(X0))) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_8001]) ).
tcf(c_25949,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_16807]) ).
tcf(c_25950,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_25949]) ).
tcf(c_26676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_19271]) ).
tcf(c_26683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_15128]) ).
tcf(c_26693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13263]) ).
tcf(c_26697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_15591]) ).
tcf(c_26699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_15273]) ).
tcf(c_26703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15478]) ).
tcf(c_26706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15038]) ).
tcf(c_26707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14730]) ).
tcf(c_26711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_17258]) ).
tcf(c_26712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13230]) ).
tcf(c_26737,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6100]) ).
tcf(c_26740,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26737]) ).
tcf(c_26753,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26712]) ).
tcf(c_26754,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26711]) ).
tcf(c_26755,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26707]) ).
tcf(c_26756,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_26706]) ).
tcf(c_26757,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_26703]) ).
tcf(c_26759,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26699]) ).
tcf(c_26761,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_26697]) ).
tcf(c_26767,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26676]) ).
tcf(c_26769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X0)))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X0)),s(X3))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19295]) ).
tcf(c_26770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_15594]) ).
tcf(c_26772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_15276]) ).
tcf(c_26773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_26774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_19440]) ).
tcf(c_26846,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(s(X0))))) )
| ( s(z) != s(z) )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_5294]) ).
tcf(c_26847,plain,
( ( s(z) = s(s(s(s(s(z))))) )
| ( s(z) != s(z) )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_26846]) ).
tcf(c_26927,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1242]) ).
tcf(c_26928,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_26930,plain,
! [X0: $i] :
( ~ 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_1241]) ).
tcf(c_26931,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_1240]) ).
tcf(c_26933,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26930]) ).
tcf(c_26935,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26928]) ).
tcf(c_27058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7343]) ).
tcf(c_27059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6726]) ).
tcf(c_27120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X0),X2)
| ~ b(X3,s(s(X4)))
| ~ b(X2,s(s(X4)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_13399]) ).
tcf(c_27803,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_12616]) ).
tcf(c_27804,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_27803]) ).
tcf(c_27830,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(s(X0))))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_18471]) ).
tcf(c_28127,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_6062]) ).
tcf(c_28128,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_28127]) ).
tcf(c_29358,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_26927]) ).
tcf(c_29359,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_29358]) ).
tcf(c_29380,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_27830]) ).
tcf(c_29645,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(s(s(s(X1)))) )
| ( s(s(X0)) != s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_25777]) ).
tcf(c_29646,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_29645]) ).
tcf(c_30443,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21085]) ).
tcf(c_30444,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_30443]) ).
tcf(c_30773,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21436]) ).
tcf(c_30780,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21489]) ).
tcf(c_30951,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_26928]) ).
tcf(c_30952,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30951]) ).
tcf(c_31363,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_21380]) ).
tcf(c_31364,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31363]) ).
tcf(c_31456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21625]) ).
tcf(c_31457,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_31456]) ).
tcf(c_31872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_21491]) ).
tcf(c_31940,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24405]) ).
tcf(c_31941,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ 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_31940]) ).
tcf(c_32161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26693]) ).
tcf(c_32222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_22069]) ).
tcf(c_32223,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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26769]) ).
tcf(c_32381,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32380]) ).
tcf(c_32646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X2,s(s(X3)))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_27120]) ).
tcf(c_32647,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32646]) ).
tcf(c_32648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(X2,s(s(X4)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_27120]) ).
tcf(c_32649,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32648]) ).
tcf(c_33573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_22601]) ).
tcf(c_33574,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_33573]) ).
tcf(c_33651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22898]) ).
tcf(c_33660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_22975]) ).
tcf(c_33700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_22617]) ).
tcf(c_33883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_22856]) ).
tcf(c_33922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23861]) ).
tcf(c_33942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_22917]) ).
tcf(c_34023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23187]) ).
tcf(c_34024,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34023]) ).
tcf(c_34046,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_23256]) ).
tcf(c_34047,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(s(z)))) ),
inference(instantiation,[status(thm)],[c_34046]) ).
tcf(c_34048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_23256]) ).
tcf(c_34049,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_34048]) ).
tcf(c_34499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ 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_26683]) ).
tcf(c_34784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26774]) ).
tcf(c_34785,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_34784]) ).
tcf(c_35019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26770]) ).
tcf(c_35020,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_35019]) ).
tcf(c_35074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26772]) ).
tcf(c_35075,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35074]) ).
tcf(c_35083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_26773]) ).
tcf(c_35402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_24073]) ).
tcf(c_35403,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35402]) ).
tcf(c_35638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_24536]) ).
tcf(c_35903,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_26931]) ).
tcf(c_35909,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_35903]) ).
tcf(c_35917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_21856]) ).
tcf(c_35918,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_35917]) ).
tcf(c_35919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_21856]) ).
tcf(c_35920,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_35919]) ).
tcf(c_35993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16440]) ).
tcf(c_35994,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(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35993]) ).
tcf(c_36865,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(s(s(X1))))))
| r(s(s(s(X0))),s(s(s(s(s(X1))))))
| ( s(s(s(X0))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_12928]) ).
tcf(c_36866,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_36865]) ).
tcf(c_37105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_27059]) ).
tcf(c_37106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_27058]) ).
tcf(c_37124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_22192]) ).
tcf(c_37130,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37124]) ).
tcf(c_37307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),s(X3))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_23949]) ).
tcf(c_38400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ 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_25588]) ).
tcf(c_38401,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_38400]) ).
tcf(c_39141,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(s(s(X0))))) = s(s(s(X1))) )
| ( s(s(s(X1))) != s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_25809]) ).
tcf(c_39142,plain,
( ( s(s(s(s(s(z))))) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_39141]) ).
tcf(c_39498,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_29380]) ).
tcf(c_39499,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_39498]) ).
tcf(c_40172,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30773]) ).
tcf(c_40173,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40172]) ).
tcf(c_40188,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30780]) ).
tcf(c_40189,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40188]) ).
tcf(c_40998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31872]) ).
tcf(c_40999,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_40998]) ).
tcf(c_42077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1548]) ).
tcf(c_42078,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_42077]) ).
tcf(c_42103,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33700]) ).
tcf(c_42104,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42103]) ).
tcf(c_42105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33700]) ).
tcf(c_42106,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42105]) ).
tcf(c_42170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33883]) ).
tcf(c_42171,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42170]) ).
tcf(c_42195,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33942]) ).
tcf(c_42196,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42195]) ).
tcf(c_43292,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21587]) ).
tcf(c_43293,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_43292]) ).
tcf(c_43741,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2656]) ).
tcf(c_43742,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_43741]) ).
tcf(c_43756,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_8295]) ).
tcf(c_43757,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_43756]) ).
tcf(c_43908,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2656]) ).
tcf(c_43909,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43908]) ).
tcf(c_44072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X3)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ 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_33922]) ).
tcf(c_44075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2732]) ).
tcf(c_44082,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44075]) ).
tcf(c_44083,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_44072]) ).
tcf(c_44100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_14547]) ).
tcf(c_44127,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_44100]) ).
tcf(c_44177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_8533]) ).
tcf(c_44182,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_44177]) ).
tcf(c_44257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10061]) ).
tcf(c_44261,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44257]) ).
tcf(c_44266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13400]) ).
tcf(c_44267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_13399]) ).
tcf(c_44273,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44267]) ).
tcf(c_44274,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44266]) ).
tcf(c_44331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(s(s(s(s(s(X2))))),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X3,s(s(s(s(s(X2))))))
| ~ b(s(s(X0)),s(s(s(s(s(X2))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_37106]) ).
tcf(c_44332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(s(s(X2))))),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(X3),s(s(s(s(s(X2))))))
| ~ b(s(s(X0)),s(s(s(s(s(X2))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_37105]) ).
tcf(c_44334,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_44332]) ).
tcf(c_44335,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_44331]) ).
tcf(c_44446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_33660]) ).
tcf(c_44449,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_44446]) ).
tcf(c_44653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_23780]) ).
tcf(c_44654,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_44653]) ).
tcf(c_44710,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_18763]) ).
tcf(c_44731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(z,s(s(s(s(X3)))))
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_18823]) ).
tcf(c_44732,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44731]) ).
tcf(c_44812,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_44813,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_44812]) ).
tcf(c_44814,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_44815,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_44814]) ).
tcf(c_44878,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_3099]) ).
tcf(c_44879,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_44878]) ).
tcf(c_45139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X2))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32161]) ).
tcf(c_45146,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45139]) ).
tcf(c_45151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_35083]) ).
tcf(c_45166,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45151]) ).
tcf(c_45178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_25750]) ).
tcf(c_45202,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45178]) ).
tcf(c_45224,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_35638]) ).
tcf(c_45231,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45224]) ).
tcf(c_45441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34499]) ).
tcf(c_45447,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45441]) ).
tcf(c_45581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_2786]) ).
tcf(c_45582,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_45581]) ).
tcf(c_45836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33651]) ).
tcf(c_45860,plain,
( ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45836]) ).
tcf(c_46857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37307]) ).
tcf(c_46858,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46857]) ).
tcf(c_47153,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4188]) ).
tcf(c_47154,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47153]) ).
tcf(c_47467,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_3111]) ).
tcf(c_47469,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_47467]) ).
tcf(c_47487,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2933]) ).
tcf(c_47490,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_47487]) ).
tcf(c_47935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_17720]) ).
tcf(c_47936,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_47935]) ).
tcf(c_49594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X3)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_2726]) ).
tcf(c_49595,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_49594]) ).
tcf(c_49610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2737]) ).
tcf(c_49611,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_49610]) ).
tcf(c_49649,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44710]) ).
tcf(c_49650,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_49649]) ).
tcf(c_49669,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49650,c_49611,c_49595,c_47936,c_47490,c_47469,c_47154,c_46858,c_45860,c_45582,c_45447,c_45231,c_45202,c_45166,c_45146,c_44879,c_44815,c_44813,c_44732,c_44654,c_44449,c_44335,c_44334,c_44274,c_44273,c_44261,c_44182,c_44127,c_44083,c_44082,c_43909,c_43757,c_43742,c_43293,c_42196,c_42171,c_42106,c_42104,c_42078,c_40999,c_40189,c_40173,c_39499,c_39142,c_38401,c_37130,c_36866,c_35994,c_35920,c_35918,c_35909,c_35403,c_35075,c_35020,c_34785,c_34049,c_34047,c_34024,c_33574,c_32649,c_32647,c_32381,c_32223,c_31941,c_31457,c_31364,c_30952,c_30444,c_29646,c_29359,c_28128,c_27804,c_26935,c_26933,c_26847,c_26767,c_26761,c_26759,c_26757,c_26756,c_26755,c_26754,c_26753,c_26740,c_25950,c_25778,c_24293,c_24263,c_24251,c_24249,c_24248,c_23313,c_22814,c_22248,c_22190,c_21572,c_21490,c_21381,c_21109,c_21006,c_20871,c_20737,c_20089,c_19759,c_19274,c_18828,c_18432,c_17327,c_17325,c_16911,c_16808,c_16031,c_15937,c_15590,c_15586,c_15479,c_15274,c_15272,c_14658,c_13852,c_13796,c_13628,c_13627,c_13626,c_13614,c_13604,c_13541,c_13327,c_12929,c_12780,c_12765,c_12240,c_11879,c_11869,c_11762,c_11689,c_11609,c_11581,c_11557,c_11554,c_11449,c_9030,c_9006,c_8779,c_8766,c_8765,c_8756,c_8755,c_8754,c_8753,c_8503,c_8453,c_8230,c_8202,c_8141,c_8135,c_8112,c_8107,c_8103,c_7918,c_7895,c_7811,c_7311,c_7004,c_6938,c_6348,c_6343,c_6342,c_6341,c_6209,c_6203,c_6202,c_6101,c_6088,c_6079,c_6063,c_5854,c_5577,c_5247,c_4537,c_4482,c_4393,c_4168,c_4165,c_4161,c_4130,c_4080,c_3867,c_3845,c_3844,c_3214,c_3106,c_2925,c_2785,c_2728,c_2706,c_2489,c_2455,c_2446,c_1910,c_1872,c_1818,c_1769,c_1582,c_1401,c_1247,c_1244,c_1227,c_831,c_753,c_740,c_725,c_719,c_610,c_571,c_545,c_492,c_463,c_383,c_371,c_360,c_326,c_276,c_251,c_250,c_246,c_244,c_236,c_234,c_227,c_209,c_204,c_203,c_199,c_198,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA166-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n011.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Wed Sep 23 13:06:57 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 24.78/4.57 % SZS status Started for theBenchmark.p
% 24.78/4.57 % SZS status Unsatisfiable for theBenchmark.p
% 24.78/4.57
% 24.78/4.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.78/4.57
% 24.78/4.57 % ------ iProver source info
% 24.78/4.57
% 24.78/4.57 % git: date: 2026-07-19 20:42:38 +0200
% 24.78/4.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.78/4.57 % git: non_committed_changes: false
% 24.78/4.57
% 24.78/4.57 % ------ Parsing...% successful
% 24.78/4.57
% 24.78/4.57
% 24.78/4.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.78/4.57
% 24.78/4.57 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 24.78/4.57
% 24.78/4.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 24.78/4.57
% 24.78/4.57 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.78/4.57 % ------ Proving...
% 24.78/4.57 % ------ Problem Properties
% 24.78/4.57
% 24.78/4.57 %
% 24.78/4.57 % clauses 7
% 24.78/4.57 % conjectures 0
% 24.78/4.57 % EPR 5
% 24.78/4.57 % Horn 6
% 24.78/4.57 % unary 3
% 24.78/4.57 % binary 1
% 24.78/4.57 % lits 17
% 24.78/4.57 % lits eq 4
% 24.78/4.57 % fd_pure 0
% 24.78/4.57 % fd_pseudo 0
% 24.78/4.57 % fd_cond 0
% 24.78/4.57 % fd_pseudo_cond 2
% 24.78/4.57 % AC symbols 0
% 24.78/4.57
% 24.78/4.57 % ------ Input Options Time Limit: Unbounded
% 24.78/4.57
% 24.78/4.57
% 24.78/4.57 % ------
% 24.78/4.57 % Current options:
% 24.78/4.57 % ------
% 24.78/4.57
% 24.78/4.57
% 24.78/4.57 %
% 24.78/4.57
% 24.78/4.57 % ------ Proving...
% 24.78/4.57 %
% 24.78/4.57
% 24.78/4.57 % SZS status Unsatisfiable for theBenchmark.p
% 24.78/4.57
% 24.78/4.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.78/4.58
% 24.78/4.58
%------------------------------------------------------------------------------