%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA155-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:24:18 PM UTC 2026
% Result : Unsatisfiable 160.00s 22.51s
% Output : CNFRefutation 160.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 3386 ( 33 unt; 0 def)
% Number of atoms : 18016 (1073 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 30406 (15776 ~;14630 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7480 ( 0 sgn7480 !; 0 ?;7464 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
fof(f3,axiom,
! [X0] : ~ r(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X2,X3)
| ~ r(X0,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X1,X4)
| ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i] : ~ r(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
~ b(z,z),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_64,plain,
~ r(z,z),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_66,plain,
( b(z,z)
| r(z,z)
| ( z = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_71,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_78,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_79,plain,
s(z) = s(z),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_80,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_81,plain,
( b(s(z),z)
| r(s(z),z)
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2) = s(X0) )
| ( s(X2) != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_92,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_93,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_99,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_100,plain,
( ( s(z) = z )
| ( z != s(z) )
| ( s(z) != s(z) ) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_107,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z) ),
inference(resolution,[status(thm)],[c_60,c_56]) ).
tcf(c_108,plain,
( b(s(z),z)
| r(s(z),z) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| r(X2,X1)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_73,c_60]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_73,c_71]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( b(X1,X0)
| r(X1,X0)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_130,c_60]) ).
tcf(c_143,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0)) ),
inference(resolution,[status(thm)],[c_135,c_56]) ).
tcf(c_144,plain,
( b(z,s(z))
| r(z,s(z)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( b(s(X1),s(X0))
| r(s(X1),s(X0))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_135,c_57]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X1,X2)
| r(X1,X2)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_135,c_73]) ).
tcf(c_149,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_150,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(X1))
| r(s(s(X0)),s(X1))
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_167,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_168,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_170,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X3,X0)
| ( X0 = X3 )
| ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_62]) ).
tcf(c_215,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0)))
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_216,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_215]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X1,X2)
| b(X0,X2)
| r(X1,X2)
| r(X0,X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_129,c_60]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X1)
| b(X0,X2)
| r(X2,X1)
| r(X0,X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_129,c_135]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_253,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_255,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = s(X2) )
| ( s(X2) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X4,X2)
| r(X0,X4)
| ( X2 = X4 )
| ( X0 = X4 )
| ~ b(X2,X3)
| ~ b(X1,X4)
| ~ b(X1,X3)
| ~ b(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_184]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X1),z)
| ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_107]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(z,s(X1))
| ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_143]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X4,X2)
| r(X3,X4)
| r(X0,X3)
| ( X3 = X4 )
| ( X2 = X4 )
| ( X0 = X3 )
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_274]) ).
tcf(c_373,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_229,c_57]) ).
tcf(c_385,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_387,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X4,X1)
| r(X3,X2)
| r(X3,X0)
| r(X2,X4)
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X0 = X3 )
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_319]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_465,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_468,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_310,c_143]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(s(X3),z)
| r(s(X1),s(X3))
| ( X3 = X1 )
| ~ b(X2,z)
| ~ b(X0,X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_310,c_145]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_501,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_267]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X4,X2)
| r(X3,X1)
| r(X3,X0)
| r(X1,X4)
| r(X0,X2)
| ( X2 = X4 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ b(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_426]) ).
tcf(c_546,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_547,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_546]) ).
tcf(c_556,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_168]) ).
tcf(c_557,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_556]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(X0),X2)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(X0),X2)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_314]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_598,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_597]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r(X4,X2)
| r(X3,X1)
| r(X3,X0)
| r(X1,X4)
| r(X0,X2)
| r(X0,X1)
| ( X2 = X4 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_60,c_523]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_493]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),s(s(X1)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X1)
| r(X2,X0)
| r(X1,X0)
| r(X0,X1)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(equality_factoring,[status(thm)],[c_602]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X2),s(X1))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_494]) ).
tcf(c_934,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_935,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_934]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X0,z)
| ~ r(X0,X2)
| ~ r(z,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X2,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1033,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1037,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_501]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_599]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_650]) ).
tcf(c_1085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_922]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_561]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_651]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X1),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_932]) ).
tcf(c_1154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1206,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_1004]) ).
tcf(c_1207,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1206]) ).
tcf(c_1233,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1033]) ).
tcf(c_1234,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1033]) ).
tcf(c_1240,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1033]) ).
tcf(c_1241,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1240]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_926]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1314,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_230,c_57]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_466]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1052]) ).
tcf(c_1473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1127]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1154]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_561]) ).
tcf(c_1533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X3)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_1539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1094]) ).
tcf(c_1540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1094]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1094]) ).
tcf(c_1581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1128]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_1596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1141]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1151]) ).
tcf(c_1617,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(z)) != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_1618,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_640]) ).
tcf(c_1619,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_1618]) ).
tcf(c_1630,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_640]) ).
tcf(c_1631,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_1630]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(X1)))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_1811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_1815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1259]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_1901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1260]) ).
tcf(c_1902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1260]) ).
tcf(c_1903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1260]) ).
tcf(c_1904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1260]) ).
tcf(c_1916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1533]) ).
tcf(c_1946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(X2,s(X4))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1265]) ).
tcf(c_1947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1265]) ).
tcf(c_1948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1265]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_2457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1903]) ).
tcf(c_2458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1817]) ).
tcf(c_2460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1819]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1898]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(s(X0))),z)
| ~ 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_1898]) ).
tcf(c_2476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1815]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1818]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1818]) ).
tcf(c_2507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_2531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(X3,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1811]) ).
tcf(c_2568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1593]) ).
tcf(c_2569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1445]) ).
tcf(c_2570,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2569]) ).
tcf(c_2571,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2567]) ).
tcf(c_2572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1607]) ).
tcf(c_2574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1587]) ).
tcf(c_2575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1585]) ).
tcf(c_2576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1582]) ).
tcf(c_2577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1542]) ).
tcf(c_2578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1539]) ).
tcf(c_2579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1509]) ).
tcf(c_2581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1581]) ).
tcf(c_2586,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1420]) ).
tcf(c_2587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_2590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1121]) ).
tcf(c_2591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_2592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_2593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_2594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_2595,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2594]) ).
tcf(c_2596,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2593]) ).
tcf(c_2597,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2592]) ).
tcf(c_2598,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2591]) ).
tcf(c_2599,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2587]) ).
tcf(c_2600,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2577]) ).
tcf(c_2601,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2574]) ).
tcf(c_2605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1596]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1594]) ).
tcf(c_2608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1441]) ).
tcf(c_2609,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2608]) ).
tcf(c_2610,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_2635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1916]) ).
tcf(c_2641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1587]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1542]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1473]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_2654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_2658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_2659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_2662,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2661]) ).
tcf(c_2663,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2664,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2659]) ).
tcf(c_2665,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2658]) ).
tcf(c_2666,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2654]) ).
tcf(c_2667,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2652]) ).
tcf(c_2668,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2649]) ).
tcf(c_2669,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ 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_2644]) ).
tcf(c_2671,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2641]) ).
tcf(c_2676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_2863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_2460]) ).
tcf(c_2926,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_546]) ).
tcf(c_2927,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_2926]) ).
tcf(c_2928,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_556]) ).
tcf(c_2929,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2928]) ).
tcf(c_2933,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(z))
| r(s(s(s(X0))),s(z))
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_2934,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_2933]) ).
tcf(c_2940,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_215]) ).
tcf(c_2941,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_2940]) ).
tcf(c_3050,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_156]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X2)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2568]) ).
tcf(c_3066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2572]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2575]) ).
tcf(c_3101,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_1654]) ).
tcf(c_3103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2575]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2576]) ).
tcf(c_3122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2577]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2578]) ).
tcf(c_3158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2578]) ).
tcf(c_3167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2579]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2590]) ).
tcf(c_3207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2591]) ).
tcf(c_3217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2605]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2635]) ).
tcf(c_3236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2635]) ).
tcf(c_3237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2635]) ).
tcf(c_3345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2654]) ).
tcf(c_3394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2676]) ).
tcf(c_3396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2676]) ).
tcf(c_3397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2676]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2441]) ).
tcf(c_3428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2457]) ).
tcf(c_3435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_2491]) ).
tcf(c_3438,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_3439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_3440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(z),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1820]) ).
tcf(c_3443,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_3445,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_3443]) ).
tcf(c_3452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_3453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1947]) ).
tcf(c_3455,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1903]) ).
tcf(c_3456,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_3455]) ).
tcf(c_3459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2533]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2491]) ).
tcf(c_3468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2477]) ).
tcf(c_3469,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_3470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_3472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1902]) ).
tcf(c_3477,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_3469]) ).
tcf(c_3483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1898]) ).
tcf(c_3486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(z))
| ~ b(s(z),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1904]) ).
tcf(c_3489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(X1),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2863]) ).
tcf(c_3492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(X1),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_3553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2477]) ).
tcf(c_3554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ 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_2476]) ).
tcf(c_3555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_3560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_3570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X1),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_3579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_3580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_2478]) ).
tcf(c_3585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ 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_2491]) ).
tcf(c_3589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_3594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_3604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X0),s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X0))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(X0))
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_3636,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1235]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3122]) ).
tcf(c_3673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3195]) ).
tcf(c_3680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3207]) ).
tcf(c_3687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3217]) ).
tcf(c_3779,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(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_3066]) ).
tcf(c_3786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3111]) ).
tcf(c_3793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3157]) ).
tcf(c_3800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3167]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3057]) ).
tcf(c_3873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3103]) ).
tcf(c_3898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3158]) ).
tcf(c_4010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3345]) ).
tcf(c_4013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3345]) ).
tcf(c_4072,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_4073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_4077,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1901]) ).
tcf(c_4078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_4079,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4077]) ).
tcf(c_4085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(X2),s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1898]) ).
tcf(c_4086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_4089,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1903]) ).
tcf(c_4090,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4089]) ).
tcf(c_4098,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3438]) ).
tcf(c_4099,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_4098]) ).
tcf(c_4101,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3469]) ).
tcf(c_4102,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4101]) ).
tcf(c_4143,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3636]) ).
tcf(c_4144,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4143]) ).
tcf(c_4149,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_3636]) ).
tcf(c_4154,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3636]) ).
tcf(c_4155,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4154]) ).
tcf(c_4174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_4175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_4180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_4190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1898]) ).
tcf(c_4195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_2863]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3413]) ).
tcf(c_4265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3554]) ).
tcf(c_4458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2507]) ).
tcf(c_4459,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4458]) ).
tcf(c_4484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3486]) ).
tcf(c_4485,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4484]) ).
tcf(c_4487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3489]) ).
tcf(c_4488,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_4487]) ).
tcf(c_4492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3492]) ).
tcf(c_4532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3687]) ).
tcf(c_4618,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1142]) ).
tcf(c_4621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3428]) ).
tcf(c_4641,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_373,c_56]) ).
tcf(c_4642,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(s(s(X1)),X2)
| b(s(s(X0)),X2)
| r(s(s(X1)),X2)
| r(s(s(X0)),X2)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_373,c_57]) ).
tcf(c_4644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),X3)
| b(s(X1),X3)
| r(s(X2),X3)
| r(s(X1),X3)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_373,c_129]) ).
tcf(c_4645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X2),X3)
| b(s(X1),X3)
| r(s(X2),X3)
| r(s(X1),X3)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_373,c_147]) ).
tcf(c_4648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3453]) ).
tcf(c_4668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3468]) ).
tcf(c_4677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X2))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3472]) ).
tcf(c_4751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(X0)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_4780,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_4641,c_59]) ).
tcf(c_4781,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4780]) ).
tcf(c_4799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3435]) ).
tcf(c_4804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(X1))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3435]) ).
tcf(c_4807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),X1)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3435]) ).
tcf(c_4810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3439]) ).
tcf(c_4818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3459]) ).
tcf(c_4916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3440]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3440]) ).
tcf(c_4959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3444]) ).
tcf(c_4979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3452]) ).
tcf(c_4980,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_4979]) ).
tcf(c_4998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3466]) ).
tcf(c_4999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3466]) ).
tcf(c_5009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3470]) ).
tcf(c_5011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3470]) ).
tcf(c_5070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_3614]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3560]) ).
tcf(c_5273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(s(X3)),s(z))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_5275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_5279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_5282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X4)
| ~ b(X4,s(s(s(X3))))
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_5433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X0,X2)
| ~ r(X0,s(X3))
| ~ r(s(X3),X2)
| ~ r(X2,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_5489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X1)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2477]) ).
tcf(c_5490,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_5491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1946]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_5498,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_5490]) ).
tcf(c_5507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(s(X3)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3585]) ).
tcf(c_5513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3589]) ).
tcf(c_5514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(z))
| ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3555]) ).
tcf(c_5520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3579]) ).
tcf(c_5522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3594]) ).
tcf(c_5523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3460]) ).
tcf(c_5526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3560]) ).
tcf(c_5527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3570]) ).
tcf(c_5529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3614]) ).
tcf(c_5530,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5529]) ).
tcf(c_5532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1948]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3612]) ).
tcf(c_5544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(X1),s(z))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_5602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ 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_2491]) ).
tcf(c_5603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(s(X3),X2)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2458]) ).
tcf(c_5605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2476]) ).
tcf(c_5606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ 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_1946]) ).
tcf(c_5607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1820]) ).
tcf(c_5611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_5616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(s(X3)),X2)
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3466]) ).
tcf(c_5649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2531]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X3),s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_5657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3604]) ).
tcf(c_5706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2464]) ).
tcf(c_5707,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5706]) ).
tcf(c_5807,plain,
! [X0: $i] :
( b(s(z),s(s(X0)))
| r(s(z),s(s(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_4780,c_56,c_78,c_99,c_167,c_215]) ).
tcf(c_5846,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_484,c_107]) ).
tcf(c_5873,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_3101]) ).
tcf(c_5874,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_5873]) ).
tcf(c_5892,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_3101]) ).
tcf(c_5893,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_5892]) ).
tcf(c_5978,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_1314,c_56]) ).
tcf(c_6004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4174]) ).
tcf(c_6005,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_6004]) ).
tcf(c_6018,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(s(X0))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_4149]) ).
tcf(c_6019,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_385]) ).
tcf(c_6020,plain,
( ( s(s(s(z))) = s(s(s(z))) )
| ( s(s(s(s(z)))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_6018]) ).
tcf(c_6021,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_6019]) ).
tcf(c_6070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4265]) ).
tcf(c_6163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4799]) ).
tcf(c_6164,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6163]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5605]) ).
tcf(c_6180,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_6193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4085]) ).
tcf(c_6194,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6193]) ).
tcf(c_6218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X0)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X0)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5489]) ).
tcf(c_6225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4484]) ).
tcf(c_6226,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6225]) ).
tcf(c_6233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4492]) ).
tcf(c_6261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4916]) ).
tcf(c_6264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_5070]) ).
tcf(c_6302,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_5978,c_59]) ).
tcf(c_6303,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| r(s(s(z)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6302]) ).
tcf(c_6325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_5544]) ).
tcf(c_6326,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(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_6325]) ).
tcf(c_6355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4648]) ).
tcf(c_6368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4668]) ).
tcf(c_6384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4677]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5607]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),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_4998]) ).
tcf(c_6441,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_6440]) ).
tcf(c_6448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5009]) ).
tcf(c_6494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5520]) ).
tcf(c_6517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4073]) ).
tcf(c_6526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4190]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4195]) ).
tcf(c_6546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4804]) ).
tcf(c_6573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4807]) ).
tcf(c_6652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5507]) ).
tcf(c_6664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5513]) ).
tcf(c_6670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(X3)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5522]) ).
tcf(c_6676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X3)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X3)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5526]) ).
tcf(c_6677,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6676]) ).
tcf(c_6700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(z),s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5532]) ).
tcf(c_6705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5537]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X3)),z)
| ~ 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_5603]) ).
tcf(c_6779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_4078]) ).
tcf(c_6784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4086]) ).
tcf(c_6785,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_6784]) ).
tcf(c_6855,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(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4920]) ).
tcf(c_6856,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6855]) ).
tcf(c_6858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4920]) ).
tcf(c_6859,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6858]) ).
tcf(c_6871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X3),s(z))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5602]) ).
tcf(c_6884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4959]) ).
tcf(c_6885,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6884]) ).
tcf(c_6886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4959]) ).
tcf(c_6889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4959]) ).
tcf(c_6907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4979]) ).
tcf(c_6908,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_7163,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(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5273]) ).
tcf(c_7206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5433]) ).
tcf(c_7216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5491]) ).
tcf(c_7223,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(z),s(s(X1)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_5496]) ).
tcf(c_7272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5514]) ).
tcf(c_7273,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7272]) ).
tcf(c_7286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5527]) ).
tcf(c_7287,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7286]) ).
tcf(c_7322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5616]) ).
tcf(c_7348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X1),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4175]) ).
tcf(c_7359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4180]) ).
tcf(c_7361,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(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4180]) ).
tcf(c_7382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5175]) ).
tcf(c_7471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5275]) ).
tcf(c_7478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5279]) ).
tcf(c_7479,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7478]) ).
tcf(c_7481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5279]) ).
tcf(c_7491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5282]) ).
tcf(c_7492,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7491]) ).
tcf(c_7494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5282]) ).
tcf(c_7495,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7494]) ).
tcf(c_7591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5611]) ).
tcf(c_7600,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(X1),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5606]) ).
tcf(c_7832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X4,s(s(X3)))
| ~ b(s(X0),s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5657]) ).
tcf(c_8045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4999]) ).
tcf(c_8055,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8045]) ).
tcf(c_8064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(s(z))),X2)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5011]) ).
tcf(c_8075,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8064]) ).
tcf(c_8126,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4257]) ).
tcf(c_8128,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8126]) ).
tcf(c_8137,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4621]) ).
tcf(c_8138,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8137]) ).
tcf(c_8291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4818]) ).
tcf(c_8292,plain,
( ~ b(s(z),z)
| ~ b(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_8291]) ).
tcf(c_8433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6004]) ).
tcf(c_8434,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8433]) ).
tcf(c_8515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_8724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2468]) ).
tcf(c_8822,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6070]) ).
tcf(c_8823,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8822]) ).
tcf(c_8910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_8911,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8910]) ).
tcf(c_8944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6884]) ).
tcf(c_8957,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_8958,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8957]) ).
tcf(c_8959,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_8960,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8959]) ).
tcf(c_8998,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6225]) ).
tcf(c_8999,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(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_8998]) ).
tcf(c_9076,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6261]) ).
tcf(c_9077,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9076]) ).
tcf(c_9143,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6355]) ).
tcf(c_9144,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9143]) ).
tcf(c_9145,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6355]) ).
tcf(c_9146,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9145]) ).
tcf(c_9169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6411]) ).
tcf(c_9231,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6448]) ).
tcf(c_9232,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9231]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6448]) ).
tcf(c_9234,plain,
( ~ b(s(s(z)),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(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9233]) ).
tcf(c_9260,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(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_6858]) ).
tcf(c_9261,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9260]) ).
tcf(c_9328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6526]) ).
tcf(c_9329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6528]) ).
tcf(c_9330,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9329]) ).
tcf(c_9382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6546]) ).
tcf(c_9383,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_9382]) ).
tcf(c_9514,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),X1)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6652]) ).
tcf(c_9515,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9514]) ).
tcf(c_9516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),X1)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6652]) ).
tcf(c_9517,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9516]) ).
tcf(c_9542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6664]) ).
tcf(c_9543,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9542]) ).
tcf(c_9544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6664]) ).
tcf(c_9545,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9544]) ).
tcf(c_9584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6700]) ).
tcf(c_9617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X3)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6758]) ).
tcf(c_9647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6871]) ).
tcf(c_9663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_7359]) ).
tcf(c_9664,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_9663]) ).
tcf(c_9698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),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_7471]) ).
tcf(c_9700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7481]) ).
tcf(c_9815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_6779]) ).
tcf(c_9819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_6779]) ).
tcf(c_9913,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(X1),z)
| r(s(s(X0)),z)
| r(s(z),s(s(X0)))
| ~ b(s(z),z) ),
inference(resolution,[status(thm)],[c_5846,c_5807]) ).
tcf(c_9914,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ~ b(s(z),z) ),
inference(instantiation,[status(thm)],[c_9913]) ).
tcf(c_10015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X0))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6886]) ).
tcf(c_10020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_6886]) ).
tcf(c_10021,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_10020]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6889]) ).
tcf(c_10438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7206]) ).
tcf(c_10605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4013]) ).
tcf(c_10616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(X2))
| ~ 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_3873]) ).
tcf(c_10620,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3845]) ).
tcf(c_10621,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3800]) ).
tcf(c_10622,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3793]) ).
tcf(c_10623,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3786]) ).
tcf(c_10624,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3779]) ).
tcf(c_10625,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4010]) ).
tcf(c_10626,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3898]) ).
tcf(c_10627,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3680]) ).
tcf(c_10628,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_10629,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3667]) ).
tcf(c_10632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3100]) ).
tcf(c_10633,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3394]) ).
tcf(c_10634,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3234]) ).
tcf(c_10635,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10634]) ).
tcf(c_10636,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10633]) ).
tcf(c_10637,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10632]) ).
tcf(c_10638,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10629]) ).
tcf(c_10639,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10628]) ).
tcf(c_10640,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10627]) ).
tcf(c_10641,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10626]) ).
tcf(c_10642,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),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_10625]) ).
tcf(c_10643,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10624]) ).
tcf(c_10644,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),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_10623]) ).
tcf(c_10645,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10622]) ).
tcf(c_10646,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10621]) ).
tcf(c_10647,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10620]) ).
tcf(c_10648,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10616]) ).
tcf(c_10649,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10605]) ).
tcf(c_10655,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4532]) ).
tcf(c_10656,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10655]) ).
tcf(c_10814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4013]) ).
tcf(c_10825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3873]) ).
tcf(c_10829,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3845]) ).
tcf(c_10830,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(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3800]) ).
tcf(c_10831,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3793]) ).
tcf(c_10832,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3786]) ).
tcf(c_10833,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3779]) ).
tcf(c_10834,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4010]) ).
tcf(c_10835,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3898]) ).
tcf(c_10836,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3680]) ).
tcf(c_10837,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_10838,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3667]) ).
tcf(c_10840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(z))),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3237]) ).
tcf(c_10841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3100]) ).
tcf(c_10842,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3394]) ).
tcf(c_10843,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3234]) ).
tcf(c_10844,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10843]) ).
tcf(c_10845,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10842]) ).
tcf(c_10846,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10841]) ).
tcf(c_10847,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10838]) ).
tcf(c_10848,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10837]) ).
tcf(c_10849,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10836]) ).
tcf(c_10850,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10835]) ).
tcf(c_10851,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10834]) ).
tcf(c_10852,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10833]) ).
tcf(c_10853,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10832]) ).
tcf(c_10854,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10831]) ).
tcf(c_10855,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10830]) ).
tcf(c_10856,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10829]) ).
tcf(c_10857,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10825]) ).
tcf(c_10858,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_10814]) ).
tcf(c_11050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3397]) ).
tcf(c_11051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3237]) ).
tcf(c_11565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_7223]) ).
tcf(c_11566,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_11565]) ).
tcf(c_11628,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(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7361]) ).
tcf(c_11811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_7591]) ).
tcf(c_11812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7591]) ).
tcf(c_11824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7348]) ).
tcf(c_11854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X2))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7382]) ).
tcf(c_12068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),X3)
| ~ b(s(X1),s(X4))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7600]) ).
tcf(c_12088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_7832]) ).
tcf(c_12214,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_3050]) ).
tcf(c_12215,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_12214]) ).
tcf(c_12219,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_2926]) ).
tcf(c_12220,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_12219]) ).
tcf(c_12262,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_2940]) ).
tcf(c_12263,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_12262]) ).
tcf(c_12265,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_2928]) ).
tcf(c_12266,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_12265]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9647]) ).
tcf(c_12459,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_12458]) ).
tcf(c_12508,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_1618]) ).
tcf(c_12509,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_12508]) ).
tcf(c_12564,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1630]) ).
tcf(c_12565,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_12564]) ).
tcf(c_12944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9815]) ).
tcf(c_14108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10015]) ).
tcf(c_14692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11812]) ).
tcf(c_14745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9169]) ).
tcf(c_14846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10438]) ).
tcf(c_15398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_9819]) ).
tcf(c_16024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11050]) ).
tcf(c_16025,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16024]) ).
tcf(c_16037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_11051]) ).
tcf(c_16038,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16037]) ).
tcf(c_16595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12068]) ).
tcf(c_16596,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(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_16595]) ).
tcf(c_18008,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_18404,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_18405,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_18404]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(z)) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1617]) ).
tcf(c_18450,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_18447]) ).
tcf(c_18635,plain,
! [X0: $i,X1: $i] :
( b(s(s(z)),X1)
| r(s(s(z)),X1)
| b(s(s(s(X0))),X1)
| r(s(s(s(X0))),X1) ),
inference(resolution,[status(thm)],[c_4642,c_56]) ).
tcf(c_19005,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_4149]) ).
tcf(c_19152,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| ~ b(z,X1)
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_312,c_143]) ).
tcf(c_19660,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14846]) ).
tcf(c_19661,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_19660]) ).
tcf(c_19662,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_14846]) ).
tcf(c_19663,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19662]) ).
tcf(c_19890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_12458]) ).
tcf(c_21115,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12944]) ).
tcf(c_21118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11824]) ).
tcf(c_21120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9584]) ).
tcf(c_21129,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8944]) ).
tcf(c_21131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7216]) ).
tcf(c_21135,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21131]) ).
tcf(c_21137,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21129]) ).
tcf(c_21140,plain,
( ~ b(z,s(s(z)))
| ~ 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_21120]) ).
tcf(c_21141,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21118]) ).
tcf(c_21142,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21115]) ).
tcf(c_21258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X0))))
| ~ b(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_7322]) ).
tcf(c_21261,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21258]) ).
tcf(c_21268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14692]) ).
tcf(c_21271,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_21268]) ).
tcf(c_21616,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_4072]) ).
tcf(c_21617,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_21616]) ).
tcf(c_21643,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),z) ),
inference(instantiation,[status(thm)],[c_4098]) ).
tcf(c_21644,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z) ),
inference(instantiation,[status(thm)],[c_21643]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),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) ),
inference(instantiation,[status(thm)],[c_4101]) ).
tcf(c_21647,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))))
| ~ b(s(s(s(s(z)))),z) ),
inference(instantiation,[status(thm)],[c_21646]) ).
tcf(c_21652,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_5490]) ).
tcf(c_21653,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_21652]) ).
tcf(c_21701,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(s(z)),s(X0))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(X0))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11824]) ).
tcf(c_21706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(s(X1),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(z))),s(X0))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11628]) ).
tcf(c_21718,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21706]) ).
tcf(c_21719,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21701]) ).
tcf(c_22082,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| r(s(X1),s(X1))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_4644,c_59]) ).
tcf(c_22109,plain,
! [X0: $i,X1: $i] :
( b(s(X1),X1)
| b(s(X0),X1)
| r(s(X1),X1)
| r(s(X0),X1)
| ( s(X0) = X0 ) ),
inference(factoring,[status(thm)],[c_4644]) ).
tcf(c_22359,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9584]) ).
tcf(c_22368,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_8944]) ).
tcf(c_22370,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(X0))
| ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X0))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_7216]) ).
tcf(c_22374,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22370]) ).
tcf(c_22376,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22368]) ).
tcf(c_22377,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_22359]) ).
tcf(c_22928,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X2),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_4645,c_59]) ).
tcf(c_23377,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_19005]) ).
tcf(c_23378,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_23377]) ).
tcf(c_23379,plain,
! [X0: $i] :
( ( s(s(s(z))) = s(s(s(s(X0)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_19005]) ).
tcf(c_23380,plain,
( ( s(s(s(z))) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_23379]) ).
tcf(c_23485,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3455]) ).
tcf(c_23486,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_23485]) ).
tcf(c_24315,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2586]) ).
tcf(c_24316,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_24315]) ).
tcf(c_24317,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2586]) ).
tcf(c_24318,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24317]) ).
tcf(c_24529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_3483]) ).
tcf(c_24530,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_24529]) ).
tcf(c_24631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6179]) ).
tcf(c_24632,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24631]) ).
tcf(c_24641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_6884]) ).
tcf(c_24642,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(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_24641]) ).
tcf(c_24645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6907]) ).
tcf(c_24646,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_24645]) ).
tcf(c_24882,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4618]) ).
tcf(c_24883,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(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_24882]) ).
tcf(c_25256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_15398]) ).
tcf(c_25257,plain,
( ~ b(z,s(z))
| ~ b(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_25256]) ).
tcf(c_25719,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2569]) ).
tcf(c_25720,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_25719]) ).
tcf(c_25721,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2569]) ).
tcf(c_25722,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25721]) ).
tcf(c_26336,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4487]) ).
tcf(c_26337,plain,
( ~ b(s(z),z)
| ~ b(z,s(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_26336]) ).
tcf(c_26405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X2,s(z))
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5529]) ).
tcf(c_26406,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26405]) ).
tcf(c_26436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_5706]) ).
tcf(c_26437,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_26436]) ).
tcf(c_26459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6233]) ).
tcf(c_26460,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26459]) ).
tcf(c_26463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6264]) ).
tcf(c_26464,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26463]) ).
tcf(c_26613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10840]) ).
tcf(c_26614,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26613]) ).
tcf(c_26946,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2581]) ).
tcf(c_26947,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26946]) ).
tcf(c_26948,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2581]) ).
tcf(c_26949,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_26948]) ).
tcf(c_27032,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2593]) ).
tcf(c_27033,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27032]) ).
tcf(c_27034,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2593]) ).
tcf(c_27035,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27034]) ).
tcf(c_27077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2649]) ).
tcf(c_27078,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27077]) ).
tcf(c_27092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2652]) ).
tcf(c_27093,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27092]) ).
tcf(c_27107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2659]) ).
tcf(c_27108,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27107]) ).
tcf(c_27165,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3580]) ).
tcf(c_27166,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27165]) ).
tcf(c_27269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5523]) ).
tcf(c_27270,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27269]) ).
tcf(c_27296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6368]) ).
tcf(c_27297,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27296]) ).
tcf(c_27300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6384]) ).
tcf(c_27301,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27300]) ).
tcf(c_27343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_10032]) ).
tcf(c_27344,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27343]) ).
tcf(c_27465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_14108]) ).
tcf(c_27466,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_27465]) ).
tcf(c_27770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4810]) ).
tcf(c_27771,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_27770]) ).
tcf(c_27936,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_934]) ).
tcf(c_27937,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_27936]) ).
tcf(c_27960,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_27961,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_27960]) ).
tcf(c_28008,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3236]) ).
tcf(c_28010,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28008]) ).
tcf(c_28013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2574]) ).
tcf(c_28014,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28013]) ).
tcf(c_28016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3396]) ).
tcf(c_28017,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28016]) ).
tcf(c_28026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2608]) ).
tcf(c_28028,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28026]) ).
tcf(c_28155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4174]) ).
tcf(c_28156,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_28155]) ).
tcf(c_28510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8433]) ).
tcf(c_28511,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28510]) ).
tcf(c_28518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8910]) ).
tcf(c_28519,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28518]) ).
tcf(c_28530,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1052]) ).
tcf(c_28531,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28530]) ).
tcf(c_28532,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(z))),X1)
| ~ 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_1052]) ).
tcf(c_28533,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28532]) ).
tcf(c_28536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1052]) ).
tcf(c_28537,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28536]) ).
tcf(c_28547,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1540]) ).
tcf(c_28548,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28547]) ).
tcf(c_28549,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(s(z))))
| ~ r(s(z),s(s(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_1540]) ).
tcf(c_28550,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ 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_28549]) ).
tcf(c_28553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_1540]) ).
tcf(c_28554,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_28553]) ).
tcf(c_29604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X0)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X0)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6218]) ).
tcf(c_29605,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z) ),
inference(instantiation,[status(thm)],[c_29604]) ).
tcf(c_29615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6494]) ).
tcf(c_29616,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_29615]) ).
tcf(c_29896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X4),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5602]) ).
tcf(c_29897,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29896]) ).
tcf(c_29924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(z)),s(X1))
| ~ b(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_5649]) ).
tcf(c_29925,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),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_29924]) ).
tcf(c_29934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_6517]) ).
tcf(c_29935,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_29934]) ).
tcf(c_29964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6528]) ).
tcf(c_29965,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29964]) ).
tcf(c_29980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6573]) ).
tcf(c_29981,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_29980]) ).
tcf(c_30006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6670]) ).
tcf(c_30007,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30006]) ).
tcf(c_30013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6705]) ).
tcf(c_30014,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30013]) ).
tcf(c_30029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,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_5651]) ).
tcf(c_30030,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30029]) ).
tcf(c_30074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7494]) ).
tcf(c_30075,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30074]) ).
tcf(c_30094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8515]) ).
tcf(c_30095,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),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(s(z)))) ),
inference(instantiation,[status(thm)],[c_30094]) ).
tcf(c_30099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_8724]) ).
tcf(c_30100,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30099]) ).
tcf(c_30131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9328]) ).
tcf(c_30132,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(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_30131]) ).
tcf(c_30141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_9329]) ).
tcf(c_30142,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),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_30141]) ).
tcf(c_30157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9382]) ).
tcf(c_30158,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30157]) ).
tcf(c_30171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X3)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_9617]) ).
tcf(c_30172,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30171]) ).
tcf(c_30179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(X3))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_9663]) ).
tcf(c_30180,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30179]) ).
tcf(c_30186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9698]) ).
tcf(c_30187,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30186]) ).
tcf(c_30190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_9700]) ).
tcf(c_30191,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(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_30190]) ).
tcf(c_30215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_14745]) ).
tcf(c_30216,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30215]) ).
tcf(c_30498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(X2))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2641]) ).
tcf(c_30499,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30498]) ).
tcf(c_30500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2641]) ).
tcf(c_30501,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30500]) ).
tcf(c_30504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2641]) ).
tcf(c_30505,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30504]) ).
tcf(c_30576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_4751]) ).
tcf(c_30577,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30576]) ).
tcf(c_30586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4751]) ).
tcf(c_30587,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30586]) ).
tcf(c_30671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X2)
| ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_3553]) ).
tcf(c_30672,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_30671]) ).
tcf(c_30807,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(z,s(X1))
| ~ b(X0,z)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_19152,c_143]) ).
tcf(c_30943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(X0))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5273]) ).
tcf(c_30944,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),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_30943]) ).
tcf(c_31174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X3)))),s(z))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7163]) ).
tcf(c_31175,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31174]) ).
tcf(c_31184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7272]) ).
tcf(c_31185,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31184]) ).
tcf(c_31188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7286]) ).
tcf(c_31189,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31188]) ).
tcf(c_31312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_9647]) ).
tcf(c_31313,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31312]) ).
tcf(c_31751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X3))),s(X2))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11854]) ).
tcf(c_31752,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),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_31751]) ).
tcf(c_31770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_12088]) ).
tcf(c_31771,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31770]) ).
tcf(c_31808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11811]) ).
tcf(c_31809,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(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_31808]) ).
tcf(c_31889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_16595]) ).
tcf(c_31890,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31889]) ).
tcf(c_31931,plain,
! [X0: $i,X1: $i] :
( b(s(X1),X1)
| r(s(X1),X1)
| b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(X0) = X0 ) ),
inference(resolution,[status(thm)],[c_22109,c_57]) ).
tcf(c_31953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_19890]) ).
tcf(c_31954,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))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31953]) ).
tcf(c_32191,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_32192,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_32193,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_32194,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_32195,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_32196,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_32197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32198,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_32199,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_32200,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_32193]) ).
tcf(c_32201,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_32202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_32207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32218,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_32219,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_32222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_32197]) ).
tcf(c_32234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32246,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_32198]) ).
tcf(c_32250,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_32260,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32250]) ).
tcf(c_32262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32273,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_32246]) ).
tcf(c_32275,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_32246]) ).
tcf(c_32276,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != s(X1) )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_32196]) ).
tcf(c_32283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32245]) ).
tcf(c_32289,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_32275]) ).
tcf(c_32304,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(z) != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_32276]) ).
tcf(c_32305,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_32201]) ).
tcf(c_32323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X1),z)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_32326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32245]) ).
tcf(c_32328,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_32273]) ).
tcf(c_32347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32245]) ).
tcf(c_32350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32283]) ).
tcf(c_32352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_32262]) ).
tcf(c_32353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_32262]) ).
tcf(c_32412,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_32199]) ).
tcf(c_32413,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_32328]) ).
tcf(c_32446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32323]) ).
tcf(c_32447,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32323]) ).
tcf(c_32448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32323]) ).
tcf(c_32449,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_32192]) ).
tcf(c_32454,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(z))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32326]) ).
tcf(c_32455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32326]) ).
tcf(c_32461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(X1))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32347]) ).
tcf(c_32465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32353]) ).
tcf(c_32467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(s(X1)),z)
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,z)
| ~ b(z,s(X2))
| ~ b(X1,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(X3))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32352]) ).
tcf(c_32469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X0)
| ~ b(z,s(X3))
| ~ b(X0,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32234]) ).
tcf(c_32495,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_32412]) ).
tcf(c_32499,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_32412]) ).
tcf(c_32565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_32568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32262]) ).
tcf(c_32574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32454]) ).
tcf(c_32581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32455]) ).
tcf(c_32582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32455]) ).
tcf(c_32583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32455]) ).
tcf(c_32587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32461]) ).
tcf(c_32588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32461]) ).
tcf(c_32598,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_32328]) ).
tcf(c_32621,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(X1)))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_32328]) ).
tcf(c_32677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X2)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32582]) ).
tcf(c_32680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32587]) ).
tcf(c_32690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32468]) ).
tcf(c_32696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32465]) ).
tcf(c_32699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X0)),z)
| ~ b(X3,s(s(X0)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32467]) ).
tcf(c_32701,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_32218]) ).
tcf(c_32705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32469]) ).
tcf(c_32723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(s(z)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32565]) ).
tcf(c_32729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32568]) ).
tcf(c_32765,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,z)
| ~ r(X0,z)
| ~ r(X0,X1)
| ~ r(z,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32767,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,z)
| ~ r(X1,X0)
| ~ r(z,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X0) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32588]) ).
tcf(c_32788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(s(z)),s(X2))
| ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32583]) ).
tcf(c_32789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(z)),s(X1))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32581]) ).
tcf(c_32800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X0,X2)
| ~ r(X0,X1)
| ~ r(X1,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,X0)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X0) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32816,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32260]) ).
tcf(c_32825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X0,z)
| ~ r(X0,X2)
| ~ r(z,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32826,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_32827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X2,X1)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X2,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_32832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_32222]) ).
tcf(c_32834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32245]) ).
tcf(c_32858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32353]) ).
tcf(c_32861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32469]) ).
tcf(c_32862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32568]) ).
tcf(c_32863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X3)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32565]) ).
tcf(c_32885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32588]) ).
tcf(c_32887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ 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_32583]) ).
tcf(c_32888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32581]) ).
tcf(c_32890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32574]) ).
tcf(c_32891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32350]) ).
tcf(c_32892,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32260]) ).
tcf(c_32946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32677]) ).
tcf(c_32953,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32680]) ).
tcf(c_32964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(z)),z)
| ~ 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_32705]) ).
tcf(c_32978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ 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_32729]) ).
tcf(c_32984,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_32449]) ).
tcf(c_32985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32696]) ).
tcf(c_32993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32699]) ).
tcf(c_32995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32699]) ).
tcf(c_32997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32723]) ).
tcf(c_32998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32723]) ).
tcf(c_33056,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32816]) ).
tcf(c_33057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32446]) ).
tcf(c_33058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32448]) ).
tcf(c_33059,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32447]) ).
tcf(c_33062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X2),s(X0))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32347]) ).
tcf(c_33080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_32326]) ).
tcf(c_33094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32347]) ).
tcf(c_33099,plain,
! [X0: $i,X1: $i] :
( ~ r(X0,z)
| ~ r(s(X1),z)
| ~ r(X0,s(X1))
| ~ r(z,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_32765]) ).
tcf(c_33156,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_32289]) ).
tcf(c_33159,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(X0),X1)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),X1)
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32767]) ).
tcf(c_33220,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32826]) ).
tcf(c_33221,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33220]) ).
tcf(c_33225,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32892]) ).
tcf(c_33298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32788]) ).
tcf(c_33307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32789]) ).
tcf(c_33320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32802]) ).
tcf(c_33345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X1)
| ~ r(X0,s(X2))
| ~ r(s(X2),X1)
| ~ r(X1,s(s(z)))
| ~ r(X0,s(s(z))) ),
inference(instantiation,[status(thm)],[c_32800]) ).
tcf(c_33351,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,z)
| ~ r(z,s(s(X0)))
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32800]) ).
tcf(c_33358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(s(X2),z)
| ~ r(X0,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32825]) ).
tcf(c_33390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32891]) ).
tcf(c_33396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32946]) ).
tcf(c_33407,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_32621]) ).
tcf(c_33493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(X0),X2)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32827]) ).
tcf(c_33499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32831]) ).
tcf(c_33513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32890]) ).
tcf(c_33520,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_32701]) ).
tcf(c_33535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X0,X2)
| ~ r(X0,s(X3))
| ~ r(s(X3),X2)
| ~ r(X2,s(s(X1)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32830]) ).
tcf(c_33541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32830]) ).
tcf(c_33552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32832]) ).
tcf(c_33559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_32832]) ).
tcf(c_33564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_32834]) ).
tcf(c_33571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X0))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32834]) ).
tcf(c_33578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X1))),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_32861]) ).
tcf(c_33585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32858]) ).
tcf(c_33586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_33587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_33588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_33600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32885]) ).
tcf(c_33610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32887]) ).
tcf(c_33630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ 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_32995]) ).
tcf(c_33644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),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_32862]) ).
tcf(c_33715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32353]) ).
tcf(c_33717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32690]) ).
tcf(c_33718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32858]) ).
tcf(c_33723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32568]) ).
tcf(c_33725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32565]) ).
tcf(c_33732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(z,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32858]) ).
tcf(c_33737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_32568]) ).
tcf(c_33740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_32565]) ).
tcf(c_33760,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(z,s(s(z)))
| ~ r(s(X0),s(X1))
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33099]) ).
tcf(c_33768,plain,
! [X0: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(z)))
| ~ r(s(X0),s(z))
| ~ r(s(s(z)),s(z))
| ~ r(s(X0),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33159]) ).
tcf(c_33812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32858]) ).
tcf(c_33813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ 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_32862]) ).
tcf(c_33816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(s(X3)),z)
| ~ b(X1,s(s(X3)))
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_32699]) ).
tcf(c_33822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_32565]) ).
tcf(c_33823,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X2))),z)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32993]) ).
tcf(c_33830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32353]) ).
tcf(c_33859,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(X0)))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33351]) ).
tcf(c_33878,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_32495]) ).
tcf(c_33902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33298]) ).
tcf(c_33910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33307]) ).
tcf(c_33926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33320]) ).
tcf(c_33943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(X2))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33358]) ).
tcf(c_34007,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33058]) ).
tcf(c_34028,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33062]) ).
tcf(c_34029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ 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_33062]) ).
tcf(c_34034,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33345]) ).
tcf(c_34037,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_33345]) ).
tcf(c_34038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(z)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(z)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33345]) ).
tcf(c_34041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_33345]) ).
tcf(c_34057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33535]) ).
tcf(c_34059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33535]) ).
tcf(c_34061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X2)),X3)
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33535]) ).
tcf(c_34062,plain,
! [X0: $i,X1: $i] :
( ~ r(z,X0)
| ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(z)),X0)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33535]) ).
tcf(c_34064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X3)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_33535]) ).
tcf(c_34074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33552]) ).
tcf(c_34075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33552]) ).
tcf(c_34076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33552]) ).
tcf(c_34095,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33493]) ).
tcf(c_34097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_33493]) ).
tcf(c_34114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33499]) ).
tcf(c_34122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33513]) ).
tcf(c_34127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33541]) ).
tcf(c_34155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33586]) ).
tcf(c_34159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33080]) ).
tcf(c_34160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33080]) ).
tcf(c_34161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33080]) ).
tcf(c_34176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33094]) ).
tcf(c_34209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33564]) ).
tcf(c_34222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33571]) ).
tcf(c_34223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33571]) ).
tcf(c_34313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33600]) ).
tcf(c_34355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33587]) ).
tcf(c_34356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33587]) ).
tcf(c_34382,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_33878]) ).
tcf(c_34387,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_33878]) ).
tcf(c_34415,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33768]) ).
tcf(c_34497,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33760]) ).
tcf(c_34500,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_33760]) ).
tcf(c_34501,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(z)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33760]) ).
tcf(c_34584,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34037]) ).
tcf(c_34585,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34584]) ).
tcf(c_34612,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_34041]) ).
tcf(c_34622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_34041]) ).
tcf(c_34752,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34095]) ).
tcf(c_34805,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33943]) ).
tcf(c_34807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33943]) ).
tcf(c_34808,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_33943]) ).
tcf(c_34809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33943]) ).
tcf(c_34846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_34064]) ).
tcf(c_34848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_34064]) ).
tcf(c_34856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X3)))
| ~ r(X1,s(s(X3)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_34064]) ).
tcf(c_34859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_33740]) ).
tcf(c_34864,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34075]) ).
tcf(c_34930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_34038]) ).
tcf(c_34943,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(z)),X1)
| ~ r(s(s(z)),s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34057]) ).
tcf(c_34944,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34943]) ).
tcf(c_34945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34057]) ).
tcf(c_34954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34097]) ).
tcf(c_34955,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34097]) ).
tcf(c_34967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34114]) ).
tcf(c_34980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34127]) ).
tcf(c_35013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33718]) ).
tcf(c_35023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33725]) ).
tcf(c_35047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(X0),s(s(X3)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34061]) ).
tcf(c_35050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(s(s(X3)),z)
| ~ b(s(s(X3)),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33732]) ).
tcf(c_35071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X3)
| ~ b(X3,s(z))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),X1)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33715]) ).
tcf(c_35083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33723]) ).
tcf(c_35085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X0))
| ~ b(X2,s(X3))
| ~ b(s(X0),s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33737]) ).
tcf(c_35102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34059]) ).
tcf(c_35112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(z)),s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34074]) ).
tcf(c_35124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34076]) ).
tcf(c_35156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34176]) ).
tcf(c_35174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34209]) ).
tcf(c_35213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34355]) ).
tcf(c_35220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(X3),s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_35222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X4,s(X0))
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_35269,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_33407]) ).
tcf(c_35286,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_33407]) ).
tcf(c_35290,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34500]) ).
tcf(c_35303,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34415]) ).
tcf(c_35307,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34497]) ).
tcf(c_35308,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35307]) ).
tcf(c_35323,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_32305]) ).
tcf(c_35354,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),s(s(s(s(X1)))))
| r(s(s(s(X0))),s(s(s(s(X1)))))
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_33407]) ).
tcf(c_35391,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(z)))
| ~ r(s(X0),s(s(z)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34501]) ).
tcf(c_35432,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34805]) ).
tcf(c_35460,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34955]) ).
tcf(c_35534,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34752]) ).
tcf(c_35566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34809]) ).
tcf(c_35590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34846]) ).
tcf(c_35708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34930]) ).
tcf(c_35742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34954]) ).
tcf(c_35756,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34980]) ).
tcf(c_35757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34980]) ).
tcf(c_35784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),X3)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34859]) ).
tcf(c_35797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(z))
| ~ b(X2,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35023]) ).
tcf(c_35798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35023]) ).
tcf(c_35801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X3)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35050]) ).
tcf(c_35809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34848]) ).
tcf(c_35811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34848]) ).
tcf(c_35814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34848]) ).
tcf(c_35839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35047]) ).
tcf(c_35845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_35071]) ).
tcf(c_35878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(s(s(X2)),X3)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35124]) ).
tcf(c_35886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_35085]) ).
tcf(c_35936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35220]) ).
tcf(c_35955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35222]) ).
tcf(c_35956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),s(X0))
| ~ b(s(s(X2)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35222]) ).
tcf(c_36037,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33717]) ).
tcf(c_36038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32998]) ).
tcf(c_36060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33812]) ).
tcf(c_36063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32978]) ).
tcf(c_36064,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32964]) ).
tcf(c_36065,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(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_36064]) ).
tcf(c_36144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(z))),X2)
| ~ 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_34159]) ).
tcf(c_36145,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34160]) ).
tcf(c_36192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34313]) ).
tcf(c_36193,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34122]) ).
tcf(c_36331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33717]) ).
tcf(c_36352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34356]) ).
tcf(c_36353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33813]) ).
tcf(c_36354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33812]) ).
tcf(c_36355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33644]) ).
tcf(c_36356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33578]) ).
tcf(c_36357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(s(s(s(X1))),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_32978]) ).
tcf(c_36363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33630]) ).
tcf(c_36364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35213]) ).
tcf(c_36365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35013]) ).
tcf(c_36437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34161]) ).
tcf(c_36438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X0))),X3)
| ~ 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_34159]) ).
tcf(c_36442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X0))),z)
| ~ 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_33057]) ).
tcf(c_36482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34967]) ).
tcf(c_36486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),s(X3))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34313]) ).
tcf(c_36489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33902]) ).
tcf(c_36491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33390]) ).
tcf(c_36492,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ 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_33225]) ).
tcf(c_36509,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35391]) ).
tcf(c_36542,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35432]) ).
tcf(c_36543,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36542]) ).
tcf(c_36544,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35432]) ).
tcf(c_36680,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ 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_35534]) ).
tcf(c_36683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35797]) ).
tcf(c_36700,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_35566]) ).
tcf(c_36751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_35814]) ).
tcf(c_36752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35814]) ).
tcf(c_36815,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ 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_35742]) ).
tcf(c_36829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35784]) ).
tcf(c_36854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35801]) ).
tcf(c_36855,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(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(s(z)))) ),
inference(instantiation,[status(thm)],[c_36854]) ).
tcf(c_36856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X3)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35801]) ).
tcf(c_36860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_35955]) ).
tcf(c_36872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35809]) ).
tcf(c_36884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X2)),s(s(z)))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_35811]) ).
tcf(c_36885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35811]) ).
tcf(c_36898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X2))))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35839]) ).
tcf(c_36921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35878]) ).
tcf(c_36931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35886]) ).
tcf(c_36949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35936]) ).
tcf(c_36950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_35936]) ).
tcf(c_36951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35936]) ).
tcf(c_36969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35956]) ).
tcf(c_36970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(X3))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_35956]) ).
tcf(c_37008,plain,
! [X0: $i] :
( b(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_32194]) ).
tcf(c_37011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(z)),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_32723]) ).
tcf(c_37021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33586]) ).
tcf(c_37024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_32234]) ).
tcf(c_37095,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_36700]) ).
tcf(c_37104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(s(X3)),X4)
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35222]) ).
tcf(c_37105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_37106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X0),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35071]) ).
tcf(c_37107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X4)
| ~ b(X4,s(X0))
| ~ b(s(X3),X4)
| ~ b(s(X3),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_37108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_37113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_32262]) ).
tcf(c_37115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,X3)
| ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33715]) ).
tcf(c_37253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32326]) ).
tcf(c_37288,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34007]) ).
tcf(c_37341,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35756]) ).
tcf(c_37351,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36145]) ).
tcf(c_37359,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_32984]) ).
tcf(c_37386,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_35354]) ).
tcf(c_37545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),X2)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(X0)))
| ~ r(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32802]) ).
tcf(c_37584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34807]) ).
tcf(c_37605,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_33156]) ).
tcf(c_37704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36489]) ).
tcf(c_37709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36491]) ).
tcf(c_37710,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37709]) ).
tcf(c_37805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33493]) ).
tcf(c_37872,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34029]) ).
tcf(c_37943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35757]) ).
tcf(c_38061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(s(z),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33718]) ).
tcf(c_38077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34064]) ).
tcf(c_38176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33723]) ).
tcf(c_38177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33723]) ).
tcf(c_38203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),X2)
| ~ b(s(X3),X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36060]) ).
tcf(c_38205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36060]) ).
tcf(c_38237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36364]) ).
tcf(c_38310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36752]) ).
tcf(c_38311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36752]) ).
tcf(c_38322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(s(X4),X3)
| ~ b(s(X4),X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36354]) ).
tcf(c_38324,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(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36354]) ).
tcf(c_38408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36885]) ).
tcf(c_38409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36885]) ).
tcf(c_38426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36898]) ).
tcf(c_38427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_36898]) ).
tcf(c_38447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36921]) ).
tcf(c_38453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36931]) ).
tcf(c_38454,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(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_38453]) ).
tcf(c_38475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36950]) ).
tcf(c_38476,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38475]) ).
tcf(c_38484,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(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36951]) ).
tcf(c_38535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36352]) ).
tcf(c_38546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36353]) ).
tcf(c_38553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ 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(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36355]) ).
tcf(c_38554,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38553]) ).
tcf(c_38555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ 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(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36355]) ).
tcf(c_38830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_37108]) ).
tcf(c_38831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(z,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37108]) ).
tcf(c_38832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X4,s(X0))
| ~ b(X3,s(X0))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37108]) ).
tcf(c_38855,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_32191]) ).
tcf(c_38856,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_38855]) ).
tcf(c_38955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34159]) ).
tcf(c_39029,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_39030,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_39029]) ).
tcf(c_39086,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34222]) ).
tcf(c_39087,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39086]) ).
tcf(c_39095,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33499]) ).
tcf(c_39096,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39095]) ).
tcf(c_39107,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35290]) ).
tcf(c_39109,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34584]) ).
tcf(c_39110,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ 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_34864]) ).
tcf(c_39112,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),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_32953]) ).
tcf(c_39113,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39109]) ).
tcf(c_39114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X2))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33396]) ).
tcf(c_39115,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39114]) ).
tcf(c_39123,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35460]) ).
tcf(c_39126,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33059]) ).
tcf(c_39138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34176]) ).
tcf(c_39146,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39138]) ).
tcf(c_39397,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37288]) ).
tcf(c_39461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37024]) ).
tcf(c_39464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37024]) ).
tcf(c_39475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37113]) ).
tcf(c_39476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(X2,s(X4))
| ~ b(s(X1),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37113]) ).
tcf(c_39477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37113]) ).
tcf(c_39478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_37113]) ).
tcf(c_39540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_33725]) ).
tcf(c_39555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X0))),X4)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36970]) ).
tcf(c_39566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36355]) ).
tcf(c_39573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32696]) ).
tcf(c_39574,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(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39573]) ).
tcf(c_39615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != X1 )
| ( s(s(s(s(X0)))) != X1 ) ),
inference(instantiation,[status(thm)],[c_32202]) ).
tcf(c_39774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35566]) ).
tcf(c_39776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(s(X0),s(s(X3)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35047]) ).
tcf(c_39778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X0))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33571]) ).
tcf(c_39780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36489]) ).
tcf(c_39781,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32786]) ).
tcf(c_39786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32888]) ).
tcf(c_39791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34223]) ).
tcf(c_39795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34945]) ).
tcf(c_39799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35124]) ).
tcf(c_39807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32890]) ).
tcf(c_39837,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34028]) ).
tcf(c_39921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37704]) ).
tcf(c_39987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37253]) ).
tcf(c_40009,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_33520]) ).
tcf(c_40142,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),X1)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_37805]) ).
tcf(c_40144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37805]) ).
tcf(c_40293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38310]) ).
tcf(c_40303,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_38408]) ).
tcf(c_40304,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40303]) ).
tcf(c_40305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38408]) ).
tcf(c_40360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37021]) ).
tcf(c_40387,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_32413]) ).
tcf(c_40425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),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_37106]) ).
tcf(c_40427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),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_37106]) ).
tcf(c_40434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_37106]) ).
tcf(c_40437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37115]) ).
tcf(c_40489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38077]) ).
tcf(c_40518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38177]) ).
tcf(c_40527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38177]) ).
tcf(c_40610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38311]) ).
tcf(c_40654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X2))))
| ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38427]) ).
tcf(c_40718,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(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38553]) ).
tcf(c_40739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X3),s(s(s(X4))))
| ~ b(s(X1),s(s(s(X4))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_37104]) ).
tcf(c_40747,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(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37105]) ).
tcf(c_40759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X4))
| ~ b(s(X3),X2)
| ~ b(s(X4),s(X0))
| ~ b(s(X3),s(X4))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37107]) ).
tcf(c_41153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X4))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38546]) ).
tcf(c_41301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35845]) ).
tcf(c_41386,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(z) != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_32304]) ).
tcf(c_41387,plain,
! [X0: $i] :
( ( z = s(s(s(X0))) )
| ( s(z) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_32219]) ).
tcf(c_41389,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_41386]) ).
tcf(c_41507,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_32200]) ).
tcf(c_41508,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_41507]) ).
tcf(c_41655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(X0),X2)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32832]) ).
tcf(c_41993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(z,s(X3))
| ~ b(s(X3),X1)
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_38830]) ).
tcf(c_41994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_38830]) ).
tcf(c_41996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X2)
| ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(X0))))
| ~ 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_38830]) ).
tcf(c_42006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_38831]) ).
tcf(c_42131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X3)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_38832]) ).
tcf(c_42135,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39461]) ).
tcf(c_42195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(X4))
| ~ b(s(X4),X1)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_38830]) ).
tcf(c_42273,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36063]) ).
tcf(c_42503,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_39615]) ).
tcf(c_42873,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_32598]) ).
tcf(c_43008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39464]) ).
tcf(c_43055,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39774]) ).
tcf(c_43161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39921]) ).
tcf(c_43223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_39475]) ).
tcf(c_43230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39476]) ).
tcf(c_43411,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ 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_37011]) ).
tcf(c_43492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39477]) ).
tcf(c_43506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ 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_39478]) ).
tcf(c_43508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39478]) ).
tcf(c_43509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(s(X0),s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39478]) ).
tcf(c_43514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X1),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_39478]) ).
tcf(c_43538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39795]) ).
tcf(c_43672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40518]) ).
tcf(c_43711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),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_36357]) ).
tcf(c_43805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X3)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40360]) ).
tcf(c_43904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36356]) ).
tcf(c_43924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36437]) ).
tcf(c_43931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39987]) ).
tcf(c_44079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39776]) ).
tcf(c_44096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39778]) ).
tcf(c_44155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39791]) ).
tcf(c_44172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39799]) ).
tcf(c_44224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40427]) ).
tcf(c_44225,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44224]) ).
tcf(c_44246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(X1),s(X2))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40434]) ).
tcf(c_44256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40437]) ).
tcf(c_44341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40527]) ).
tcf(c_44397,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(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40718]) ).
tcf(c_44650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40747]) ).
tcf(c_44695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40739]) ).
tcf(c_44717,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(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_44719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_44725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(s(X3))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_40759]) ).
tcf(c_44750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41153]) ).
tcf(c_44842,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_37386]) ).
tcf(c_44843,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_44842]) ).
tcf(c_44867,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_37386]) ).
tcf(c_44868,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_44867]) ).
tcf(c_44926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X0,s(z))
| ~ b(s(z),X2)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1))
| ~ b(s(s(z)),X0)
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_39476]) ).
tcf(c_44962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X3)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_39476]) ).
tcf(c_44964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_32353]) ).
tcf(c_44994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),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_35798]) ).
tcf(c_45079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32690]) ).
tcf(c_45080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ 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_39478]) ).
tcf(c_45275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36951]) ).
tcf(c_45276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(z))))
| ~ b(s(X2),s(s(X1)))
| ~ 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_36931]) ).
tcf(c_45280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35801]) ).
tcf(c_45282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35083]) ).
tcf(c_45283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(s(z))))
| ~ b(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_34356]) ).
tcf(c_45284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33813]) ).
tcf(c_45289,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32964]) ).
tcf(c_45290,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45289]) ).
tcf(c_45291,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45280]) ).
tcf(c_45292,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45276]) ).
tcf(c_45299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35013]) ).
tcf(c_45300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34155]) ).
tcf(c_45301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X3)
| ~ 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_33588]) ).
tcf(c_45302,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ 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_45301]) ).
tcf(c_45303,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),s(z))
| ~ 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_45300]) ).
tcf(c_45331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38322]) ).
tcf(c_45333,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45331]) ).
tcf(c_45335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_39573]) ).
tcf(c_45344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38203]) ).
tcf(c_45349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36856]) ).
tcf(c_45352,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45349]) ).
tcf(c_45359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38535]) ).
tcf(c_45512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32985]) ).
tcf(c_45513,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_45512]) ).
tcf(c_45533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40425]) ).
tcf(c_45534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36949]) ).
tcf(c_45539,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45534]) ).
tcf(c_45540,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45533]) ).
tcf(c_45550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40718]) ).
tcf(c_45552,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45550]) ).
tcf(c_45556,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36038]) ).
tcf(c_45557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(X2,s(s(z)))
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38322]) ).
tcf(c_45558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38061]) ).
tcf(c_45559,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45558]) ).
tcf(c_45560,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45557]) ).
tcf(c_45561,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ 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_45556]) ).
tcf(c_45563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39573]) ).
tcf(c_45567,plain,
( ~ b(s(s(z)),s(z))
| ~ 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(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_45563]) ).
tcf(c_45580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38535]) ).
tcf(c_45761,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34808]) ).
tcf(c_45762,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45761]) ).
tcf(c_45769,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35112]) ).
tcf(c_45776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X2)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40144]) ).
tcf(c_45779,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_37095]) ).
tcf(c_45785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37943]) ).
tcf(c_45787,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37341]) ).
tcf(c_45796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X2))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35102]) ).
tcf(c_45798,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45796]) ).
tcf(c_46034,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43055]) ).
tcf(c_46265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38409]) ).
tcf(c_46267,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38408]) ).
tcf(c_46270,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37288]) ).
tcf(c_46276,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34967]) ).
tcf(c_46282,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33910]) ).
tcf(c_46286,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33225]) ).
tcf(c_46287,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46267]) ).
tcf(c_46289,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(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36192]) ).
tcf(c_46309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38955]) ).
tcf(c_46350,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_37584]) ).
tcf(c_46361,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32946]) ).
tcf(c_46362,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32677]) ).
tcf(c_46363,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46362]) ).
tcf(c_46364,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46361]) ).
tcf(c_46365,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46350]) ).
tcf(c_46367,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32447]) ).
tcf(c_46388,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34075]) ).
tcf(c_46399,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46388]) ).
tcf(c_46400,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46367]) ).
tcf(c_46415,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32680]) ).
tcf(c_46416,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46415]) ).
tcf(c_46423,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35307]) ).
tcf(c_46424,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35303]) ).
tcf(c_46425,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33056]) ).
tcf(c_46426,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46425]) ).
tcf(c_46427,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46424]) ).
tcf(c_46428,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46423]) ).
tcf(c_46438,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34160]) ).
tcf(c_46442,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46438]) ).
tcf(c_46453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),X2)
| ~ 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_37545]) ).
tcf(c_46475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33926]) ).
tcf(c_46476,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34034]) ).
tcf(c_46477,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33859]) ).
tcf(c_46493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38426]) ).
tcf(c_46494,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39112]) ).
tcf(c_46496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36751]) ).
tcf(c_46497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35708]) ).
tcf(c_46501,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46496]) ).
tcf(c_46503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36884]) ).
tcf(c_46504,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46503]) ).
tcf(c_46510,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36144]) ).
tcf(c_46513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39786]) ).
tcf(c_46637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33822]) ).
tcf(c_46641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36829]) ).
tcf(c_46642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_36860]) ).
tcf(c_46643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(s(X3)),z)
| ~ b(X1,s(s(X3)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_33816]) ).
tcf(c_46657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(s(X2)))),z)
| ~ b(X1,s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33823]) ).
tcf(c_46663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36353]) ).
tcf(c_46685,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39109]) ).
tcf(c_46689,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39123]) ).
tcf(c_46725,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),X1)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40142]) ).
tcf(c_46931,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35534]) ).
tcf(c_46932,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35432]) ).
tcf(c_46939,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46932]) ).
tcf(c_47018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34122]) ).
tcf(c_47073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X3)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32998]) ).
tcf(c_47098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36951]) ).
tcf(c_47099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36931]) ).
tcf(c_47111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ 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_32978]) ).
tcf(c_47153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36856]) ).
tcf(c_47353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42135]) ).
tcf(c_47699,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36038]) ).
tcf(c_47702,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47699]) ).
tcf(c_47704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39573]) ).
tcf(c_47707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(X2),s(z))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38324]) ).
tcf(c_47709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(X1),s(z))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38205]) ).
tcf(c_48267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41993]) ).
tcf(c_48311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33725]) ).
tcf(c_48332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33585]) ).
tcf(c_48424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39573]) ).
tcf(c_48500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35174]) ).
tcf(c_48502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X3)))
| ~ r(X1,s(s(X3)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_34856]) ).
tcf(c_48503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_34622]) ).
tcf(c_48505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38447]) ).
tcf(c_48506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_33559]) ).
tcf(c_48508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(s(s(s(X2))),X3)
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36898]) ).
tcf(c_48675,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36193]) ).
tcf(c_49193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42195]) ).
tcf(c_49199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_42195]) ).
tcf(c_49300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32993]) ).
tcf(c_49301,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49300]) ).
tcf(c_49469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_42006]) ).
tcf(c_49475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43223]) ).
tcf(c_49968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(X2,s(s(z)))
| ~ 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_43008]) ).
tcf(c_49973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X3))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43008]) ).
tcf(c_50155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),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_38176]) ).
tcf(c_50225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(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_41994]) ).
tcf(c_50277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39781]) ).
tcf(c_50315,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39807]) ).
tcf(c_50413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43538]) ).
tcf(c_50424,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43672]) ).
tcf(c_50635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36969]) ).
tcf(c_50682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_39540]) ).
tcf(c_50849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X3)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43805]) ).
tcf(c_50850,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50849]) ).
tcf(c_50949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32997]) ).
tcf(c_50951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32997]) ).
tcf(c_50952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32997]) ).
tcf(c_50953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32997]) ).
tcf(c_51206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ 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_43492]) ).
tcf(c_51207,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51206]) ).
tcf(c_51209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(z,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_43492]) ).
tcf(c_51354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(z))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37106]) ).
tcf(c_51471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X3)))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39776]) ).
tcf(c_51523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43508]) ).
tcf(c_51550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41996]) ).
tcf(c_51640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(X1)),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_40434]) ).
tcf(c_51641,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51640]) ).
tcf(c_51703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(X0),X2)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41655]) ).
tcf(c_51793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43931]) ).
tcf(c_51976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_44246]) ).
tcf(c_51989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(X1),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44256]) ).
tcf(c_52042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44341]) ).
tcf(c_52143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(s(X3)),X4)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35956]) ).
tcf(c_52225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43509]) ).
tcf(c_52232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(X0),s(s(s(X2))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43509]) ).
tcf(c_52258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X0),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43230]) ).
tcf(c_52299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X0)),s(X4))
| ~ b(s(X4),s(s(s(X3))))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37104]) ).
tcf(c_52365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X0))),X4)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39555]) ).
tcf(c_52366,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52365]) ).
tcf(c_52641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X3)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42131]) ).
tcf(c_52676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43514]) ).
tcf(c_52848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44719]) ).
tcf(c_52872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_44725]) ).
tcf(c_53213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44096]) ).
tcf(c_53214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ 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_44079]) ).
tcf(c_53216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ 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_40610]) ).
tcf(c_53221,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40305]) ).
tcf(c_53222,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40293]) ).
tcf(c_53225,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37709]) ).
tcf(c_53231,plain,
! [X0: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36680]) ).
tcf(c_53232,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39397]) ).
tcf(c_53233,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36544]) ).
tcf(c_53234,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53233]) ).
tcf(c_53235,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53232]) ).
tcf(c_53236,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53231]) ).
tcf(c_53239,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53225]) ).
tcf(c_53240,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53222]) ).
tcf(c_53241,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53221]) ).
tcf(c_53261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40654]) ).
tcf(c_53264,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53261]) ).
tcf(c_53269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43924]) ).
tcf(c_53272,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53269]) ).
tcf(c_53489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44172]) ).
tcf(c_53490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44155]) ).
tcf(c_53491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44096]) ).
tcf(c_53492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44079]) ).
tcf(c_53496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36486]) ).
tcf(c_53497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36438]) ).
tcf(c_53498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36437]) ).
tcf(c_53499,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(z)),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_40305]) ).
tcf(c_53500,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_40293]) ).
tcf(c_53502,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36442]) ).
tcf(c_53503,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37709]) ).
tcf(c_53508,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36492]) ).
tcf(c_53509,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36680]) ).
tcf(c_53510,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(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_39397]) ).
tcf(c_53511,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),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_36544]) ).
tcf(c_53512,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53511]) ).
tcf(c_53513,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53510]) ).
tcf(c_53514,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53509]) ).
tcf(c_53515,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53508]) ).
tcf(c_53518,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53500]) ).
tcf(c_53519,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53499]) ).
tcf(c_53520,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53498]) ).
tcf(c_53521,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53492]) ).
tcf(c_53522,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53490]) ).
tcf(c_53523,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53489]) ).
tcf(c_53539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(s(z)))))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_40654]) ).
tcf(c_53540,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43161]) ).
tcf(c_53541,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53540]) ).
tcf(c_53542,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53539]) ).
tcf(c_53547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43924]) ).
tcf(c_53550,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53547]) ).
tcf(c_53553,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(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_39780]) ).
tcf(c_53556,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53553]) ).
tcf(c_53631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_43931]) ).
tcf(c_53961,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45761]) ).
tcf(c_53962,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53961]) ).
tcf(c_53986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X1,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44964]) ).
tcf(c_54228,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45289]) ).
tcf(c_54235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_44962]) ).
tcf(c_54236,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_54235]) ).
tcf(c_54560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_45080]) ).
tcf(c_54683,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47353]) ).
tcf(c_55571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44172]) ).
tcf(c_55749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46641]) ).
tcf(c_55750,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_55749]) ).
tcf(c_55932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_44926]) ).
tcf(c_56003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(X1)),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_49193]) ).
tcf(c_56008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_49193]) ).
tcf(c_56036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45276]) ).
tcf(c_56091,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45282]) ).
tcf(c_56092,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56091]) ).
tcf(c_56103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45282]) ).
tcf(c_56265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_49475]) ).
tcf(c_56868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_50225]) ).
tcf(c_56869,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(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_56868]) ).
tcf(c_56892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(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_47709]) ).
tcf(c_56893,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_56892]) ).
tcf(c_57057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X1),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_49300]) ).
tcf(c_57058,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_57057]) ).
tcf(c_57169,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(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_50949]) ).
tcf(c_57170,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_57169]) ).
tcf(c_57229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_51989]) ).
tcf(c_57230,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57229]) ).
tcf(c_57286,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(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_45275]) ).
tcf(c_57287,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57286]) ).
tcf(c_57357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(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_45335]) ).
tcf(c_57358,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_57357]) ).
tcf(c_57404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X2)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45776]) ).
tcf(c_57430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ 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_45785]) ).
tcf(c_57446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46265]) ).
tcf(c_57473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_45079]) ).
tcf(c_57554,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46309]) ).
tcf(c_57556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46309]) ).
tcf(c_57763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X0)))
| ~ b(s(s(z)),s(X2))
| ~ 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_50952]) ).
tcf(c_57881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ 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_47018]) ).
tcf(c_58016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47704]) ).
tcf(c_58042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48500]) ).
tcf(c_58082,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_48503]) ).
tcf(c_58083,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58082]) ).
tcf(c_58085,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48503]) ).
tcf(c_58086,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_58085]) ).
tcf(c_58140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50953]) ).
tcf(c_58149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_51209]) ).
tcf(c_58203,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_50155]) ).
tcf(c_58268,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50315]) ).
tcf(c_58269,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58268]) ).
tcf(c_58270,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50315]) ).
tcf(c_58271,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58270]) ).
tcf(c_58293,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),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_50413]) ).
tcf(c_58294,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58293]) ).
tcf(c_58295,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50413]) ).
tcf(c_58296,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_58295]) ).
tcf(c_58475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_51523]) ).
tcf(c_58657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46642]) ).
tcf(c_58775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(X2)))
| ~ 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_47111]) ).
tcf(c_58820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_47707]) ).
tcf(c_58827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(X2,s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48311]) ).
tcf(c_58828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_48311]) ).
tcf(c_58829,plain,
( ~ b(z,s(z))
| ~ b(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)) ),
inference(instantiation,[status(thm)],[c_58828]) ).
tcf(c_58904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50682]) ).
tcf(c_58905,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_58904]) ).
tcf(c_59142,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45284]) ).
tcf(c_59143,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59142]) ).
tcf(c_59348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X0)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46637]) ).
tcf(c_59366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_46643]) ).
tcf(c_59367,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_59366]) ).
tcf(c_59368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46643]) ).
tcf(c_60076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47073]) ).
tcf(c_60107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47099]) ).
tcf(c_60407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48424]) ).
tcf(c_60408,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60407]) ).
tcf(c_60459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X1))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_48502]) ).
tcf(c_60460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X3)))
| ~ r(s(X1),s(s(X3)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48502]) ).
tcf(c_60481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_48505]) ).
tcf(c_60482,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60481]) ).
tcf(c_60484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_48505]) ).
tcf(c_60505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,s(X1))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_48506]) ).
tcf(c_60523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48508]) ).
tcf(c_60734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X3))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49973]) ).
tcf(c_60786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_51354]) ).
tcf(c_60838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_51471]) ).
tcf(c_60839,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60838]) ).
tcf(c_60841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ r(X3,s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),X3)
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51471]) ).
tcf(c_61078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(X3))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_51793]) ).
tcf(c_61133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(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_49199]) ).
tcf(c_61193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_51976]) ).
tcf(c_61894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48332]) ).
tcf(c_62032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51550]) ).
tcf(c_62071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_52225]) ).
tcf(c_62154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_52143]) ).
tcf(c_62220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X0))
| ~ b(X2,s(s(s(X3))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52232]) ).
tcf(c_62249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),s(X4))
| ~ b(s(X0),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52258]) ).
tcf(c_62280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_52299]) ).
tcf(c_62297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),X3)
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52365]) ).
tcf(c_62298,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_62297]) ).
tcf(c_62299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X2))),X4)
| ~ b(X4,s(s(s(s(X3)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_52365]) ).
tcf(c_62346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_52641]) ).
tcf(c_62347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,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_52641]) ).
tcf(c_62368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_52676]) ).
tcf(c_62369,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_62368]) ).
tcf(c_62494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52872]) ).
tcf(c_62495,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_62494]) ).
tcf(c_62496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_52872]) ).
tcf(c_62530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_53986]) ).
tcf(c_62581,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(z)),s(s(s(s(s(X0))))))
| ( s(s(z)) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_42873]) ).
tcf(c_62582,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_62581]) ).
tcf(c_62666,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_37008]) ).
tcf(c_62667,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_62666]) ).
tcf(c_62823,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53499]) ).
tcf(c_62842,plain,
! [X0: $i] :
( b(z,s(s(s(s(s(X0))))))
| r(z,s(s(s(s(s(X0))))))
| ( z = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_40009]) ).
tcf(c_62843,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_62842]) ).
tcf(c_62893,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_54228]) ).
tcf(c_62894,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(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_62893]) ).
tcf(c_63195,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_57554]) ).
tcf(c_63202,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57554]) ).
tcf(c_63340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54683]) ).
tcf(c_63514,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_35269]) ).
tcf(c_63515,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_63514]) ).
tcf(c_63541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_58827]) ).
tcf(c_63542,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_63541]) ).
tcf(c_63879,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53492]) ).
tcf(c_63881,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_63879]) ).
tcf(c_63956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53497]) ).
tcf(c_64145,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_55932]) ).
tcf(c_64146,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_64145]) ).
tcf(c_65003,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53214]) ).
tcf(c_65004,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65003]) ).
tcf(c_65047,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53216]) ).
tcf(c_65048,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65047]) ).
tcf(c_65267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_53631]) ).
tcf(c_65434,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),X1)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57404]) ).
tcf(c_65435,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_65434]) ).
tcf(c_65452,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57430]) ).
tcf(c_65453,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(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_65452]) ).
tcf(c_65466,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57446]) ).
tcf(c_65467,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65466]) ).
tcf(c_65468,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57446]) ).
tcf(c_65469,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(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_65468]) ).
tcf(c_65728,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ 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_57881]) ).
tcf(c_65729,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ 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_65728]) ).
tcf(c_66396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_56008]) ).
tcf(c_66653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58775]) ).
tcf(c_66903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_54560]) ).
tcf(c_66924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),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_57763]) ).
tcf(c_67005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_62071]) ).
tcf(c_67012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_62071]) ).
tcf(c_67013,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67012]) ).
tcf(c_67099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62346]) ).
tcf(c_67426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58820]) ).
tcf(c_67431,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_58016]) ).
tcf(c_67455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ 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_45359]) ).
tcf(c_67465,plain,
! [X0: $i] :
( ~ b(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(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50424]) ).
tcf(c_67478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ 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_38555]) ).
tcf(c_67487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44750]) ).
tcf(c_67499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X1))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36856]) ).
tcf(c_67504,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36363]) ).
tcf(c_67509,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67504]) ).
tcf(c_67512,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67499]) ).
tcf(c_67519,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(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_67487]) ).
tcf(c_67529,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67465]) ).
tcf(c_67535,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67431]) ).
tcf(c_67538,plain,
( ~ b(z,s(z))
| ~ b(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(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67426]) ).
tcf(c_67671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(s(s(z)))),z)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46663]) ).
tcf(c_67672,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52042]) ).
tcf(c_67681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),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_39566]) ).
tcf(c_67686,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_38237]) ).
tcf(c_67687,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67686]) ).
tcf(c_67688,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67681]) ).
tcf(c_67691,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(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67672]) ).
tcf(c_68009,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(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38484]) ).
tcf(c_68155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43904]) ).
tcf(c_68396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_55571]) ).
tcf(c_68397,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_68396]) ).
tcf(c_68608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_58149]) ).
tcf(c_68625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_58475]) ).
tcf(c_68626,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_68625]) ).
tcf(c_68982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59348]) ).
tcf(c_69006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59368]) ).
tcf(c_69719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ 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_60407]) ).
tcf(c_69741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60459]) ).
tcf(c_69756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(s(X3)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_60460]) ).
tcf(c_69801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(X0)))))
| ~ r(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60484]) ).
tcf(c_69802,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69801]) ).
tcf(c_69846,plain,
! [X0: $i,X1: $i] :
( ~ r(z,X1)
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60505]) ).
tcf(c_69880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60523]) ).
tcf(c_69881,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_69880]) ).
tcf(c_69981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60734]) ).
tcf(c_70047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60786]) ).
tcf(c_70119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(X0)),s(s(s(X3))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60841]) ).
tcf(c_70120,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_70119]) ).
tcf(c_70485,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X0)))) ),
inference(resolution,[status(thm)],[c_18635,c_59]) ).
tcf(c_70486,plain,
( b(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_70485]) ).
tcf(c_70581,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_62280]) ).
tcf(c_70582,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_70581]) ).
tcf(c_70660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_61133]) ).
tcf(c_70661,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_70660]) ).
tcf(c_70743,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(z,s(X1))
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_30807,c_107]) ).
tcf(c_71188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(X3))),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61894]) ).
tcf(c_71484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_62220]) ).
tcf(c_71513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62249]) ).
tcf(c_71514,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71513]) ).
tcf(c_71627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_62347]) ).
tcf(c_71628,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71627]) ).
tcf(c_71659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62368]) ).
tcf(c_71660,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_71659]) ).
tcf(c_72882,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_38855]) ).
tcf(c_72885,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_72882]) ).
tcf(c_73255,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_42503]) ).
tcf(c_73256,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_73255]) ).
tcf(c_73334,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_43411]) ).
tcf(c_73340,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73334]) ).
tcf(c_73488,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44994]) ).
tcf(c_73495,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36683]) ).
tcf(c_73512,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73495]) ).
tcf(c_73516,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73488]) ).
tcf(c_73548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60076]) ).
tcf(c_73552,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_60107]) ).
tcf(c_73553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_52848]) ).
tcf(c_73560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(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_44341]) ).
tcf(c_73566,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73560]) ).
tcf(c_73569,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73553]) ).
tcf(c_73570,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73552]) ).
tcf(c_73573,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_73548]) ).
tcf(c_73603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ 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(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_50635]) ).
tcf(c_73608,plain,
( ~ b(s(s(z)),s(z))
| ~ b(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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73603]) ).
tcf(c_73643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45344]) ).
tcf(c_73645,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_47699]) ).
tcf(c_73655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44695]) ).
tcf(c_73679,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36037]) ).
tcf(c_73680,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ 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(s(z)))) ),
inference(instantiation,[status(thm)],[c_42273]) ).
tcf(c_73682,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73680]) ).
tcf(c_73683,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73679]) ).
tcf(c_73689,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73655]) ).
tcf(c_73694,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(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(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73645]) ).
tcf(c_73695,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73643]) ).
tcf(c_73710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_58657]) ).
tcf(c_73715,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_56036]) ).
tcf(c_73793,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),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_73710]) ).
tcf(c_73797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_52872]) ).
tcf(c_73808,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73797]) ).
tcf(c_73870,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(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_44397]) ).
tcf(c_73876,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73870]) ).
tcf(c_74589,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_35590]) ).
tcf(c_74711,plain,
! [X0: $i] :
( b(s(z),s(s(s(s(s(X0))))))
| r(s(z),s(s(s(s(s(X0))))))
| ( s(z) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_37605]) ).
tcf(c_74712,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_74711]) ).
tcf(c_74962,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_40387]) ).
tcf(c_74963,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_74962]) ).
tcf(c_74970,plain,
! [X0: $i] :
( b(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_35286]) ).
tcf(c_74971,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_74970]) ).
tcf(c_75123,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(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_58295]) ).
tcf(c_75124,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ 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_75123]) ).
tcf(c_75260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62530]) ).
tcf(c_75788,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_37359]) ).
tcf(c_75789,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_75788]) ).
tcf(c_76118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X0)
| ~ b(s(s(s(X2))),X0)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X0,s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46657]) ).
tcf(c_76119,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z) ),
inference(instantiation,[status(thm)],[c_76118]) ).
tcf(c_76127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62368]) ).
tcf(c_76132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),s(X4))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_51550]) ).
tcf(c_76141,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_76132]) ).
tcf(c_76144,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_76127]) ).
tcf(c_76147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(X2))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(X3)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62154]) ).
tcf(c_76155,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76147]) ).
tcf(c_76167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_58140]) ).
tcf(c_76177,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_76167]) ).
tcf(c_76637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_63541]) ).
tcf(c_76638,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),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_76637]) ).
tcf(c_77660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ 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_40489]) ).
tcf(c_77664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X2)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_37584]) ).
tcf(c_77665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(X3))
| ~ 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_36872]) ).
tcf(c_77671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),X3)
| ~ 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_35156]) ).
tcf(c_77673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(X3))
| ~ 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_33610]) ).
tcf(c_77674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ 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_33513]) ).
tcf(c_77675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ 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_32946]) ).
tcf(c_77676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X2)),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32677]) ).
tcf(c_77677,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_77676]) ).
tcf(c_77678,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77675]) ).
tcf(c_77679,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77674]) ).
tcf(c_77680,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77673]) ).
tcf(c_77681,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),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_77671]) ).
tcf(c_77683,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77665]) ).
tcf(c_77684,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_77664]) ).
tcf(c_77685,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_77660]) ).
tcf(c_77803,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53503]) ).
tcf(c_77804,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77803]) ).
tcf(c_77909,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58270]) ).
tcf(c_77910,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_77909]) ).
tcf(c_78245,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53489]) ).
tcf(c_79673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67487]) ).
tcf(c_79674,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_79673]) ).
tcf(c_80277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69719]) ).
tcf(c_80278,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80277]) ).
tcf(c_80327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69880]) ).
tcf(c_80328,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80327]) ).
tcf(c_80550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(z)))
| ~ 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_66903]) ).
tcf(c_80551,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_80550]) ).
tcf(c_80655,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53496]) ).
tcf(c_80656,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(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_80655]) ).
tcf(c_82964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(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(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_66924]) ).
tcf(c_82965,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_82964]) ).
tcf(c_83248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),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_67478]) ).
tcf(c_83249,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_83248]) ).
tcf(c_84698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_68155]) ).
tcf(c_84699,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_84698]) ).
tcf(c_85670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69741]) ).
tcf(c_85671,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85670]) ).
tcf(c_85714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(X2)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69756]) ).
tcf(c_85715,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85714]) ).
tcf(c_86745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_71484]) ).
tcf(c_86746,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_86745]) ).
tcf(c_86923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_71659]) ).
tcf(c_86924,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_86923]) ).
tcf(c_88019,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),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_75260]) ).
tcf(c_88020,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88019]) ).
tcf(c_88623,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67671]) ).
tcf(c_90334,plain,
! [X0: $i] :
( r(s(s(X0)),s(s(X0)))
| b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( s(X0) = X0 ) ),
inference(resolution,[status(thm)],[c_31931,c_59]) ).
tcf(c_90335,plain,
( r(s(s(z)),s(s(z)))
| b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z)))
| ( s(z) = z ) ),
inference(instantiation,[status(thm)],[c_90334]) ).
tcf(c_90360,plain,
! [X0: $i] :
( b(s(X0),X0)
| r(s(X0),X0)
| b(s(s(z)),X0)
| r(s(s(z)),X0) ),
inference(resolution,[status(thm)],[c_31931,c_56]) ).
tcf(c_90494,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_50277]) ).
tcf(c_90497,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_46513]) ).
tcf(c_90500,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_46493]) ).
tcf(c_90507,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_37872]) ).
tcf(c_90513,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_36509]) ).
tcf(c_90546,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62823]) ).
tcf(c_90551,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(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_39112]) ).
tcf(c_90558,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90551]) ).
tcf(c_90559,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_90546]) ).
tcf(c_90607,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),X0)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),X0)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48267]) ).
tcf(c_90609,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_90607]) ).
tcf(c_90632,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(X0),s(X1))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X0))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56265]) ).
tcf(c_90638,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X0),s(X1))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(z)),s(X0))
| ~ b(s(X0),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_50951]) ).
tcf(c_90639,plain,
! [X0: $i,X1: $i] :
( ~ b(X0,s(X1))
| ~ b(s(s(z)),X0)
| ~ b(s(s(z)),s(X1))
| ~ b(X0,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_50953]) ).
tcf(c_90676,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_70581]) ).
tcf(c_90678,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66653]) ).
tcf(c_90680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45580]) ).
tcf(c_90682,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90680]) ).
tcf(c_90726,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_70047]) ).
tcf(c_90742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44717]) ).
tcf(c_90750,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90742]) ).
tcf(c_90775,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_68982]) ).
tcf(c_90798,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_67099]) ).
tcf(c_90799,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60407]) ).
tcf(c_90812,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90799]) ).
tcf(c_90822,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(X1))),s(X0))
| ~ b(s(s(s(s(z)))),s(X0))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57473]) ).
tcf(c_90824,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90822]) ).
tcf(c_90828,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61193]) ).
tcf(c_90832,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_52365]) ).
tcf(c_90836,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90832]) ).
tcf(c_90851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(X0))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_56003]) ).
tcf(c_90856,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90851]) ).
tcf(c_90971,plain,
( r(s(s(z)),s(s(z)))
| b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(resolution,[status(thm)],[c_90360,c_59]) ).
tcf(c_91107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_91108,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_91107]) ).
tcf(c_91138,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_69981]) ).
tcf(c_91150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ 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_62032]) ).
tcf(c_91152,plain,
( ~ b(s(z),s(s(z)))
| ~ 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(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91150]) ).
tcf(c_91168,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47098]) ).
tcf(c_91171,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91168]) ).
tcf(c_91198,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_67005]) ).
tcf(c_91203,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(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_49968]) ).
tcf(c_91209,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91198]) ).
tcf(c_91225,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45283]) ).
tcf(c_91295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40527]) ).
tcf(c_91297,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_91295]) ).
tcf(c_91319,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_66396]) ).
tcf(c_91386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(X1),s(z))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_49469]) ).
tcf(c_91418,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_56103]) ).
tcf(c_91526,plain,
( r(s(s(s(z))),s(s(z)))
| b(s(s(s(z))),s(s(z))) ),
inference(global_subsumption_just,[status(thm)],[c_90971,c_65,c_255,c_90335]) ).
tcf(c_91527,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(renaming,[status(thm)],[c_91526]) ).
tcf(c_91544,plain,
! [X0: $i] :
( r(z,s(X0))
| r(s(X0),z)
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(resolution,[status(thm)],[c_91527,c_5846]) ).
tcf(c_91550,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_91544]) ).
tcf(c_92721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62496]) ).
tcf(c_92723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62299]) ).
tcf(c_92757,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_47153]) ).
tcf(c_92769,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45299]) ).
tcf(c_92775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_44650]) ).
tcf(c_92807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36365]) ).
tcf(c_92810,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36331]) ).
tcf(c_92811,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43711]) ).
tcf(c_92812,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92811]) ).
tcf(c_92813,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92810]) ).
tcf(c_92815,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92807]) ).
tcf(c_92829,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92775]) ).
tcf(c_92836,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92757]) ).
tcf(c_92843,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(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92723]) ).
tcf(c_92844,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92721]) ).
tcf(c_93036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_69006]) ).
tcf(c_93106,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_93036]) ).
tcf(c_93146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_67455]) ).
tcf(c_93147,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_93146]) ).
tcf(c_93952,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_69846]) ).
tcf(c_93964,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_93952]) ).
tcf(c_93973,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(z)),s(X0))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34062]) ).
tcf(c_93994,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32207]) ).
tcf(c_94305,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_63956]) ).
tcf(c_94306,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),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_57556]) ).
tcf(c_94310,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_94305]) ).
tcf(c_94399,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_32229]) ).
tcf(c_94667,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_32499]) ).
tcf(c_94668,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_94667]) ).
tcf(c_95400,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X0))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65267]) ).
tcf(c_95870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51703]) ).
tcf(c_95877,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_95870]) ).
tcf(c_95909,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53961]) ).
tcf(c_95921,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_95909]) ).
tcf(c_95962,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53213]) ).
tcf(c_95964,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95962]) ).
tcf(c_95968,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53491]) ).
tcf(c_95970,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_95968]) ).
tcf(c_96347,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_58042]) ).
tcf(c_96352,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96347]) ).
tcf(c_96372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_46497]) ).
tcf(c_96374,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96372]) ).
tcf(c_96375,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_63195]) ).
tcf(c_96392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46503]) ).
tcf(c_96393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46496]) ).
tcf(c_96398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ 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_46475]) ).
tcf(c_96402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),X2)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46453]) ).
tcf(c_96406,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46477]) ).
tcf(c_96407,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46476]) ).
tcf(c_96412,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46438]) ).
tcf(c_96416,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),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_96412]) ).
tcf(c_96418,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96407]) ).
tcf(c_96419,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96406]) ).
tcf(c_96420,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96402]) ).
tcf(c_96423,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),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_96398]) ).
tcf(c_96424,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96393]) ).
tcf(c_96425,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_96392]) ).
tcf(c_96428,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_96375]) ).
tcf(c_96673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(s(X1))))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_61078]) ).
tcf(c_96678,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(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_96673]) ).
tcf(c_96683,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90513]) ).
tcf(c_96684,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96683]) ).
tcf(c_97004,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ 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_46931]) ).
tcf(c_97010,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ 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_46932]) ).
tcf(c_97019,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46276]) ).
tcf(c_97020,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46034]) ).
tcf(c_97022,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_46423]) ).
tcf(c_97023,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46286]) ).
tcf(c_97026,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39107]) ).
tcf(c_97027,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39837]) ).
tcf(c_97029,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97027]) ).
tcf(c_97030,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97026]) ).
tcf(c_97031,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),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_97023]) ).
tcf(c_97032,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97020]) ).
tcf(c_97033,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97019]) ).
tcf(c_97035,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_97010]) ).
tcf(c_97036,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),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_97004]) ).
tcf(c_97050,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_36482]) ).
tcf(c_97056,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39126]) ).
tcf(c_97057,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97056]) ).
tcf(c_97059,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97050]) ).
tcf(c_97066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_60841]) ).
tcf(c_97067,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97066]) ).
tcf(c_97559,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90507]) ).
tcf(c_97560,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97559]) ).
tcf(c_98051,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46510]) ).
tcf(c_98271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_68608]) ).
tcf(c_98298,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98271]) ).
tcf(c_98327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_63340]) ).
tcf(c_98342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_41301]) ).
tcf(c_98343,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(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(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98342]) ).
tcf(c_98344,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98327]) ).
tcf(c_98906,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ 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(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_74589]) ).
tcf(c_98907,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_98906]) ).
tcf(c_99174,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90500]) ).
tcf(c_99624,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90678]) ).
tcf(c_99650,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90775]) ).
tcf(c_99945,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90822]) ).
tcf(c_99946,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_99945]) ).
tcf(c_100827,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36815]) ).
tcf(c_102291,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90497]) ).
tcf(c_102292,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_102291]) ).
tcf(c_102701,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90638]) ).
tcf(c_102702,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_102701]) ).
tcf(c_102715,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90639]) ).
tcf(c_102716,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_102715]) ).
tcf(c_102780,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90726]) ).
tcf(c_102806,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_90798]) ).
tcf(c_102807,plain,
( ~ b(s(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)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102806]) ).
tcf(c_102815,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90828]) ).
tcf(c_102816,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102815]) ).
tcf(c_102843,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_91138]) ).
tcf(c_102879,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_91203]) ).
tcf(c_102960,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_91386]) ).
tcf(c_102961,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102960]) ).
tcf(c_105800,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_94399]) ).
tcf(c_105801,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_105800]) ).
tcf(c_105888,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_99624]) ).
tcf(c_105889,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)))))) ),
inference(instantiation,[status(thm)],[c_105888]) ).
tcf(c_106340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_68009]) ).
tcf(c_106342,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_106340]) ).
tcf(c_106508,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_93994]) ).
tcf(c_106509,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_106508]) ).
tcf(c_106710,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_63541]) ).
tcf(c_106720,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45289]) ).
tcf(c_106733,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_106720]) ).
tcf(c_106737,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_106710]) ).
tcf(c_106775,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_91418]) ).
tcf(c_106778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_71188]) ).
tcf(c_106782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_58828]) ).
tcf(c_106789,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_106782]) ).
tcf(c_106791,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_106778]) ).
tcf(c_106793,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_106775]) ).
tcf(c_106796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_70660]) ).
tcf(c_106804,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_106796]) ).
tcf(c_107047,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_94306]) ).
tcf(c_107048,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_107047]) ).
tcf(c_107146,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_100827]) ).
tcf(c_107147,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_107146]) ).
tcf(c_107596,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63202]) ).
tcf(c_107602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69741]) ).
tcf(c_107625,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107602]) ).
tcf(c_107628,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107596]) ).
tcf(c_107713,plain,
! [X0: $i] :
( b(s(s(z)),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70485,c_58]) ).
tcf(c_107730,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_22928,c_58]) ).
tcf(c_107731,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_22082,c_58]) ).
tcf(c_108143,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_35323]) ).
tcf(c_108144,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_108143]) ).
tcf(c_108535,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95962]) ).
tcf(c_108536,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108535]) ).
tcf(c_108719,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_34382]) ).
tcf(c_108720,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_108719]) ).
tcf(c_108744,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_98051]) ).
tcf(c_108745,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_108744]) ).
tcf(c_108917,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_99174]) ).
tcf(c_108918,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_108917]) ).
tcf(c_109080,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_99650]) ).
tcf(c_109081,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_109080]) ).
tcf(c_109481,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_65003]) ).
tcf(c_109482,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109481]) ).
tcf(c_109689,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_93952]) ).
tcf(c_109690,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_109689]) ).
tcf(c_109743,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_93973]) ).
tcf(c_109744,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109743]) ).
tcf(c_110304,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(X1),z)
| r(s(s(s(X0))),z)
| r(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),z) ),
inference(resolution,[status(thm)],[c_107713,c_5846]) ).
tcf(c_110311,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(z))),z)
| r(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_110304]) ).
tcf(c_110316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),z)
| r(s(s(s(X1))),s(X2))
| r(s(s(z)),s(s(s(X1))))
| ( X2 = s(s(X1)) )
| ~ b(s(s(z)),z)
| ~ b(X0,s(s(z)))
| ~ b(X0,s(s(s(X1)))) ),
inference(resolution,[status(thm)],[c_107713,c_485]) ).
tcf(c_110319,plain,
( r(s(z),z)
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( z = s(s(z)) )
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_110316]) ).
tcf(c_111216,plain,
! [X0: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_102879]) ).
tcf(c_111217,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111216]) ).
tcf(c_111910,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48675]) ).
tcf(c_111911,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_111910]) ).
tcf(c_113322,plain,
! [X0: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_92769]) ).
tcf(c_113323,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_91225]) ).
tcf(c_113329,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_113323]) ).
tcf(c_113330,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_113322]) ).
tcf(c_113694,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_91319]) ).
tcf(c_113695,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_113694]) ).
tcf(c_115322,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_63202]) ).
tcf(c_115324,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(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_46689]) ).
tcf(c_115350,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_115324]) ).
tcf(c_115351,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_115322]) ).
tcf(c_116366,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_102843]) ).
tcf(c_116367,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_102780]) ).
tcf(c_116375,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_58203]) ).
tcf(c_116378,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_116375]) ).
tcf(c_116382,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_116367]) ).
tcf(c_116383,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_116366]) ).
tcf(c_116385,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90799]) ).
tcf(c_116386,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_116385]) ).
tcf(c_117234,plain,
! [X0: $i] :
( b(s(X0),s(s(X0)))
| r(s(X0),s(s(X0)))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_107730]) ).
tcf(c_117532,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_39029]) ).
tcf(c_117533,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_117532]) ).
tcf(c_118164,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_37351]) ).
tcf(c_118165,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_118164]) ).
tcf(c_118368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46289]) ).
tcf(c_118369,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_118368]) ).
tcf(c_119444,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90494]) ).
tcf(c_119445,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_119444]) ).
tcf(c_120055,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_32195]) ).
tcf(c_120056,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_120055]) ).
tcf(c_122052,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(X0),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X0))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90632]) ).
tcf(c_122067,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X0)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),X0)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_90607]) ).
tcf(c_122068,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_88623]) ).
tcf(c_122069,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_73715]) ).
tcf(c_122070,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122069]) ).
tcf(c_122071,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(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_122068]) ).
tcf(c_122072,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_122067]) ).
tcf(c_122077,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_122052]) ).
tcf(c_122090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X0))
| ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(z)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43008]) ).
tcf(c_122091,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_122090]) ).
tcf(c_122503,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53502]) ).
tcf(c_122509,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_122503]) ).
tcf(c_124183,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_78245]) ).
tcf(c_124194,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_124183]) ).
tcf(c_124803,plain,
! [X0: $i] :
( ( z = s(s(s(s(X0)))) )
| ( s(z) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_41387]) ).
tcf(c_124804,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_124803]) ).
tcf(c_124842,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(z))) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_34387]) ).
tcf(c_124843,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_124842]) ).
tcf(c_125396,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_95400]) ).
tcf(c_125399,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)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_125396]) ).
tcf(c_125644,plain,
! [X0: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46270]) ).
tcf(c_125645,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_125644]) ).
tcf(c_125660,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_39110]) ).
tcf(c_125661,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ 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_125660]) ).
tcf(c_125686,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45779]) ).
tcf(c_125687,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_125686]) ).
tcf(c_125711,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_46282]) ).
tcf(c_125712,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_125711]) ).
tcf(c_125884,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46494]) ).
tcf(c_125885,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_125884]) ).
tcf(c_126164,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ 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(s(z)))) ),
inference(instantiation,[status(thm)],[c_73680]) ).
tcf(c_126616,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_102960]) ).
tcf(c_126617,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_126616]) ).
tcf(c_126654,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_34612]) ).
tcf(c_126655,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_126654]) ).
tcf(c_126834,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45769]) ).
tcf(c_126835,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_126834]) ).
tcf(c_126852,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ 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_45787]) ).
tcf(c_126853,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_126852]) ).
tcf(c_127090,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46685]) ).
tcf(c_127091,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_127090]) ).
tcf(c_127106,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),X1)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46725]) ).
tcf(c_127107,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_127106]) ).
tcf(c_127677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43506]) ).
tcf(c_127678,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_127677]) ).
tcf(c_127985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41994]) ).
tcf(c_127986,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_127985]) ).
tcf(c_128576,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_90676]) ).
tcf(c_128577,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_128576]) ).
tcf(c_130605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_45349]) ).
tcf(c_130606,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_130605]) ).
tcf(c_130639,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_130640,plain,
! [X0: $i,X1: $i] :
( r(z,X1)
| r(z,s(X0))
| r(X1,s(X0))
| r(s(X0),X1)
| ( X1 = z )
| ( X1 = s(X0) )
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_130644,plain,
! [X0: $i,X1: $i] :
( r(s(z),X1)
| r(X1,s(s(X0)))
| r(s(s(X0)),X1)
| r(s(z),s(s(X0)))
| ( X1 = s(z) )
| ( X1 = s(s(X0)) )
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_130645,plain,
( r(s(z),z)
| r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ( z = s(z) )
| ( z = s(s(z)) )
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_130644]) ).
tcf(c_130646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_130649,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_130639]) ).
tcf(c_130652,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,X2)
| r(X2,s(X0))
| r(X1,s(X0))
| r(s(X0),X2)
| ( X2 = X1 )
| ( X2 = s(X0) )
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_130653,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(z,s(X0))
| r(s(X1),s(X0))
| r(s(X0),s(X1))
| ( s(X1) = z )
| ( s(X1) = s(X0) )
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_130640]) ).
tcf(c_130660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_130676,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_130678,plain,
! [X0: $i,X1: $i] :
( r(z,X0)
| r(X0,z)
| r(s(X1),z)
| r(s(X1),X0)
| ( z = s(X1) )
| ( X0 = z )
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_130680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_130689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(z))
| ~ r(X1,s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_130690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_130646]) ).
tcf(c_130692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X0,z)
| ~ r(X0,X2)
| ~ r(z,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_130694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X0,X3)
| ~ r(X0,X2)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_130712,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,X0)
| r(X0,X2)
| r(s(X1),X2)
| r(s(X1),X0)
| ( X2 = s(X1) )
| ( X0 = X2 )
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_130713,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130689]) ).
tcf(c_130714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(X2),s(z))
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130689]) ).
tcf(c_130717,plain,
! [X0: $i,X1: $i] :
( r(z,s(X0))
| r(s(X1),z)
| r(s(X0),z)
| r(s(X1),s(X0))
| ( z = s(X1) )
| ( s(X0) = z )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130678]) ).
tcf(c_130720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X2),s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_130660]) ).
tcf(c_130723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130690]) ).
tcf(c_130726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(X0))
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130694]) ).
tcf(c_130727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_130694]) ).
tcf(c_130732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X1,X2)
| ~ b(s(z),X3)
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_130680]) ).
tcf(c_130747,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(X0))
| r(s(z),s(X0))
| r(s(X0),s(z))
| ( s(z) = X1 )
| ( s(X0) = X1 )
| ( s(X0) = s(z) ) ),
inference(instantiation,[status(thm)],[c_130652]) ).
tcf(c_130780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_130720]) ).
tcf(c_130785,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,s(X2))
| r(X1,s(X0))
| r(s(X2),s(X0))
| r(s(X0),s(X2))
| ( s(X2) = X1 )
| ( s(X2) = s(X0) )
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_130652]) ).
tcf(c_130788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130732]) ).
tcf(c_130791,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(X0))
| r(s(X1),X2)
| r(s(X0),X2)
| r(s(X1),s(X0))
| ( X2 = s(X1) )
| ( s(X0) = X2 )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130712]) ).
tcf(c_130794,plain,
! [X0: $i,X1: $i] :
( r(z,s(X0))
| r(s(X1),z)
| r(s(X0),z)
| r(s(X1),s(X0))
| ( z = s(X1) )
| ( z = s(X0) )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130712]) ).
tcf(c_130798,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(X0))
| r(s(X1),X2)
| r(s(X0),X2)
| r(s(X1),s(X0))
| ( X2 = s(X1) )
| ( X2 = s(X0) )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130712]) ).
tcf(c_131046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130723]) ).
tcf(c_131048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X3)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130680]) ).
tcf(c_131070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130727]) ).
tcf(c_131082,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(X0))
| r(s(X1),s(z))
| r(s(X0),s(z))
| r(s(X1),s(X0))
| ( s(z) = s(X1) )
| ( s(X0) = s(z) )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130747]) ).
tcf(c_131090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130780]) ).
tcf(c_131091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130780]) ).
tcf(c_131101,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(X0))
| r(s(X1),s(X2))
| r(s(X1),s(X0))
| r(s(X0),s(X2))
| ( s(X2) = s(X1) )
| ( s(X2) = s(X0) )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130785]) ).
tcf(c_131108,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(X0))
| r(s(X1),s(X2))
| r(s(X1),s(X0))
| r(s(X0),s(X2))
| ( s(X2) = s(X1) )
| ( s(X0) = s(X2) )
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130791]) ).
tcf(c_131296,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(X0))
| r(s(X0),s(z))
| r(s(s(X1)),s(z))
| r(s(s(X1)),s(X0))
| ( s(z) = s(s(X1)) )
| ( s(X0) = s(z) )
| ( s(X0) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131082]) ).
tcf(c_131306,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(X1))
| r(X2,s(s(X0)))
| r(s(X1),s(s(X0)))
| r(s(s(X0)),s(X1))
| ( s(X1) = X2 )
| ( s(s(X0)) = X2 )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130785]) ).
tcf(c_131307,plain,
( r(z,s(z))
| r(z,s(s(z)))
| r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( s(z) = z )
| ( s(s(z)) = z )
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131306]) ).
tcf(c_131309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(z,s(X0))
| ~ r(X2,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131070]) ).
tcf(c_131310,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(z,s(s(X0)))
| r(s(s(X0)),z)
| r(s(X1),s(s(X0)))
| ( z = s(X1) )
| ( z = s(s(X0)) )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130794]) ).
tcf(c_131311,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(z,s(s(X0)))
| r(s(s(X0)),z)
| r(s(X1),s(s(X0)))
| ( z = s(X1) )
| ( s(s(X0)) = z )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130717]) ).
tcf(c_131313,plain,
( r(s(z),z)
| r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ( z = s(z) )
| ( s(s(z)) = z )
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131311]) ).
tcf(c_131314,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),X2)
| r(X2,s(s(X0)))
| r(s(s(X0)),X2)
| r(s(X1),s(s(X0)))
| ( X2 = s(X1) )
| ( X2 = s(s(X0)) )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130798]) ).
tcf(c_131315,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),X2)
| r(X2,s(s(X0)))
| r(s(s(X0)),X2)
| r(s(X1),s(s(X0)))
| ( X2 = s(X1) )
| ( s(s(X0)) = X2 )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130791]) ).
tcf(c_131316,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,X2)
| r(X2,s(s(X0)))
| r(X1,s(s(X0)))
| r(s(s(X0)),X2)
| ( X2 = X1 )
| ( X2 = s(s(X0)) )
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_130652]) ).
tcf(c_131317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(X0))
| ~ r(s(z),s(X0))
| ~ r(s(z),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131070]) ).
tcf(c_131319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131070]) ).
tcf(c_131323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131048]) ).
tcf(c_131324,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(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131048]) ).
tcf(c_131355,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(X0))
| r(s(X0),s(X2))
| r(s(s(X1)),s(X2))
| r(s(s(X1)),s(X0))
| ( s(X2) = s(X0) )
| ( s(X2) = s(s(X1)) )
| ( s(X0) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131101]) ).
tcf(c_131364,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(X1))
| r(s(z),s(s(X0)))
| r(s(X1),s(s(X0)))
| r(s(s(X0)),s(X1))
| ( s(X1) = s(z) )
| ( s(X1) = s(s(X0)) )
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131108]) ).
tcf(c_131365,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),s(X2))
| r(s(X2),s(s(X0)))
| r(s(X1),s(s(X0)))
| r(s(s(X0)),s(X2))
| ( s(X2) = s(X1) )
| ( s(X2) = s(s(X0)) )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_131108]) ).
tcf(c_131387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_131046]) ).
tcf(c_131390,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130689]) ).
tcf(c_131391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(X0)),z)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130726]) ).
tcf(c_131392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(X0,s(X2))
| ~ r(s(s(X1)),z)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130692]) ).
tcf(c_131395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131048]) ).
tcf(c_131396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(z,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_131399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130780]) ).
tcf(c_131401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_130680]) ).
tcf(c_131486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131048]) ).
tcf(c_131487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X0,X4)
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_131489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130780]) ).
tcf(c_131491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),z)
| ~ b(X1,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_130690]) ).
tcf(c_131492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_130680]) ).
tcf(c_131575,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(z,s(s(X0)))
| r(s(X1),s(s(X0)))
| r(s(s(X0)),s(X1))
| ( s(X1) = z )
| ( s(s(X0)) = z )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_130653]) ).
tcf(c_131584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131317]) ).
tcf(c_131591,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(X0)))
| r(s(s(X1)),s(z))
| r(s(s(X0)),s(z))
| r(s(s(X1)),s(s(X0)))
| ( s(z) = s(s(X1)) )
| ( s(s(X0)) = s(z) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131296]) ).
tcf(c_131633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131319]) ).
tcf(c_131657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_131324]) ).
tcf(c_131688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X1)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_131689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(X0)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130689]) ).
tcf(c_131690,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,s(X2))
| r(X1,s(s(X0)))
| r(s(X2),s(s(X0)))
| r(s(s(X0)),s(X2))
| ( s(X2) = X1 )
| ( s(X2) = s(s(X0)) )
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_131316]) ).
tcf(c_131691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130727]) ).
tcf(c_131692,plain,
( r(z,s(z))
| r(z,s(s(z)))
| r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| ( s(z) = z )
| ( s(z) = s(s(z)) )
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_131690]) ).
tcf(c_131697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(X3))
| ~ r(X1,s(X3))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_130694]) ).
tcf(c_131717,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(X0)))
| r(s(s(X1)),s(X2))
| r(s(s(X0)),s(X2))
| r(s(s(X1)),s(s(X0)))
| ( s(X2) = s(s(X1)) )
| ( s(s(X0)) = s(X2) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131355]) ).
tcf(c_131724,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(X0)))
| r(s(s(X1)),s(X2))
| r(s(s(X0)),s(X2))
| r(s(s(X1)),s(s(X0)))
| ( s(X2) = s(s(X1)) )
| ( s(X2) = s(s(X0)) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131355]) ).
tcf(c_131935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131392]) ).
tcf(c_131949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131584]) ).
tcf(c_131950,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),s(s(X2)))
| r(s(X1),s(s(X0)))
| r(s(s(X2)),s(s(X0)))
| r(s(s(X0)),s(s(X2)))
| ( s(s(X2)) = s(X1) )
| ( s(s(X2)) = s(s(X0)) )
| ( s(s(X0)) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_131365]) ).
tcf(c_131962,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(X0)))
| r(s(s(X1)),X2)
| r(s(s(X0)),X2)
| r(s(s(X1)),s(s(X0)))
| ( X2 = s(s(X1)) )
| ( s(s(X0)) = X2 )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131315]) ).
tcf(c_131963,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(X0)))
| r(s(s(X1)),X2)
| r(s(s(X0)),X2)
| r(s(s(X1)),s(s(X0)))
| ( X2 = s(s(X1)) )
| ( X2 = s(s(X0)) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131314]) ).
tcf(c_131964,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(X1)))
| r(X2,s(s(X0)))
| r(s(s(X1)),s(s(X0)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X1)) = X2 )
| ( s(s(X0)) = X2 )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131306]) ).
tcf(c_132000,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(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131395]) ).
tcf(c_132002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_131401]) ).
tcf(c_132027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(z,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131396]) ).
tcf(c_132043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(X0))
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131688]) ).
tcf(c_132060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X3))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131697]) ).
tcf(c_132075,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(X1)))
| r(z,s(s(X0)))
| r(s(s(X1)),s(s(X0)))
| r(s(s(X0)),s(s(X1)))
| ( s(s(X1)) = z )
| ( s(s(X0)) = z )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131575]) ).
tcf(c_132076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(X2))
| ~ r(X1,s(X2))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_131697]) ).
tcf(c_132116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X0)
| ~ b(X4,s(X3))
| ~ b(X0,s(X3))
| ~ b(s(X3),X2)
| ~ b(X2,s(s(X1)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131487]) ).
tcf(c_132119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131487]) ).
tcf(c_132120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131487]) ).
tcf(c_132126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_131492]) ).
tcf(c_132134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131691]) ).
tcf(c_132156,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X2)),s(s(X0)))
| r(s(s(X1)),s(s(X2)))
| r(s(s(X1)),s(s(X0)))
| r(s(s(X0)),s(s(X2)))
| ( s(s(X2)) = s(s(X1)) )
| ( s(s(X0)) = s(s(X2)) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131717]) ).
tcf(c_132157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131391]) ).
tcf(c_132178,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X2)),s(s(X0)))
| r(s(s(X1)),s(s(X2)))
| r(s(s(X1)),s(s(X0)))
| r(s(s(X0)),s(s(X2)))
| ( s(s(X2)) = s(s(X1)) )
| ( s(s(X2)) = s(s(X0)) )
| ( s(s(X0)) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131724]) ).
tcf(c_132257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_131091]) ).
tcf(c_132258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130788]) ).
tcf(c_132274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131689]) ).
tcf(c_132275,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131390]) ).
tcf(c_132276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_131691]) ).
tcf(c_132282,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_130713]) ).
tcf(c_132283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X2)))
| ~ r(s(z),s(s(X2)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_130714]) ).
tcf(c_132318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131091]) ).
tcf(c_132324,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(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131657]) ).
tcf(c_132326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131046]) ).
tcf(c_132331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131489]) ).
tcf(c_132332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131399]) ).
tcf(c_132368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131633]) ).
tcf(c_132462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_131691]) ).
tcf(c_132466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131319]) ).
tcf(c_132467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_131391]) ).
tcf(c_132515,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_131935]) ).
tcf(c_132516,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_132515]) ).
tcf(c_132517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131935]) ).
tcf(c_132645,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_132157]) ).
tcf(c_132646,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ 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_132645]) ).
tcf(c_132647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ 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_132157]) ).
tcf(c_132665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X2)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132000]) ).
tcf(c_132666,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(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132000]) ).
tcf(c_132669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),X1)
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(X3))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_132002]) ).
tcf(c_132671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(s(X3),z)
| ~ b(s(X3),X2)
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132119]) ).
tcf(c_132675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(z,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_132027]) ).
tcf(c_132677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(z,s(s(X3)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132027]) ).
tcf(c_132692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),s(X0))
| ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132043]) ).
tcf(c_132700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132043]) ).
tcf(c_132713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_132060]) ).
tcf(c_132720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X2)))
| ~ r(s(s(X1)),X3)
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132060]) ).
tcf(c_132725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132060]) ).
tcf(c_132726,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132725]) ).
tcf(c_132727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132060]) ).
tcf(c_132741,plain,
! [X0: $i] :
( r(z,s(s(z)))
| r(z,s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(s(X0))) = z )
| ( s(s(s(X0))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132075]) ).
tcf(c_132742,plain,
( r(z,s(s(z)))
| r(z,s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(s(z))) = z )
| ( s(s(s(z))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132741]) ).
tcf(c_132743,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(X1)))
| r(z,s(s(s(X0))))
| r(s(s(X1)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(X1)) = z )
| ( s(s(s(X0))) = z )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_132075]) ).
tcf(c_132747,plain,
! [X0: $i] :
( r(z,s(s(z)))
| r(z,s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(X0))) = z ) ),
inference(instantiation,[status(thm)],[c_132075]) ).
tcf(c_132766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132126]) ).
tcf(c_132788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(z)))
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_132134]) ).
tcf(c_132789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132134]) ).
tcf(c_132800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X4)
| ~ b(X4,s(s(X3)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132116]) ).
tcf(c_132801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(X0)))
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_132116]) ).
tcf(c_132802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(s(X0)))
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X3)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_132116]) ).
tcf(c_132809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132120]) ).
tcf(c_132810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132120]) ).
tcf(c_132823,plain,
! [X0: $i,X1: $i] :
( r(s(X1),s(s(z)))
| r(s(X1),s(s(s(X0))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(z)))
| ( s(s(z)) = s(X1) )
| ( s(s(s(X0))) = s(X1) )
| ( s(s(s(X0))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_131950]) ).
tcf(c_132824,plain,
( r(s(z),s(s(z)))
| r(s(z),s(s(s(z))))
| r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| ( s(s(z)) = s(z) )
| ( s(s(s(z))) = s(z) )
| ( s(s(s(z))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132823]) ).
tcf(c_132832,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),s(s(X2)))
| r(s(X1),s(s(s(X0))))
| r(s(s(X2)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(X2)))
| ( s(s(X2)) = s(X1) )
| ( s(s(X2)) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_131950]) ).
tcf(c_132847,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),X1)
| r(X1,s(s(s(X0))))
| r(s(s(s(X0))),X1)
| r(s(s(z)),s(s(s(X0))))
| ( X1 = s(s(z)) )
| ( s(s(s(X0))) = X1 )
| ( s(s(s(X0))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_131962]) ).
tcf(c_132848,plain,
( r(s(s(z)),z)
| r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(s(z)),s(s(s(z))))
| ( z = s(s(z)) )
| ( s(s(s(z))) = z )
| ( s(s(s(z))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132847]) ).
tcf(c_132849,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X1)),X2)
| r(X2,s(s(s(X0))))
| r(s(s(s(X0))),X2)
| r(s(s(X1)),s(s(s(X0))))
| ( X2 = s(s(X1)) )
| ( s(s(s(X0))) = X2 )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131962]) ).
tcf(c_132853,plain,
! [X0: $i,X1: $i] :
( r(X1,s(s(z)))
| r(s(s(z)),X1)
| r(s(s(s(X0))),X1)
| r(s(s(s(X0))),s(s(z)))
| ( X1 = s(s(s(X0))) )
| ( s(s(z)) = X1 )
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_131962]) ).
tcf(c_132854,plain,
( r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(z))),z)
| r(s(s(s(z))),s(s(z)))
| ( z = s(s(s(z))) )
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_132853]) ).
tcf(c_132856,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(X0)))
| r(s(s(X0)),X2)
| r(s(s(s(X1))),X2)
| r(s(s(s(X1))),s(s(X0)))
| ( X2 = s(s(s(X1))) )
| ( s(s(X0)) = X2 )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_131962]) ).
tcf(c_132873,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X1)),X2)
| r(X2,s(s(s(X0))))
| r(s(s(s(X0))),X2)
| r(s(s(X1)),s(s(s(X0))))
| ( X2 = s(s(X1)) )
| ( X2 = s(s(s(X0))) )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131963]) ).
tcf(c_132877,plain,
! [X0: $i,X1: $i] :
( r(X1,s(s(z)))
| r(s(s(z)),X1)
| r(s(s(s(X0))),X1)
| r(s(s(s(X0))),s(s(z)))
| ( X1 = s(s(z)) )
| ( X1 = s(s(s(X0))) )
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_131963]) ).
tcf(c_132878,plain,
( r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(z))),z)
| r(s(s(s(z))),s(s(z)))
| ( z = s(s(z)) )
| ( z = s(s(s(z))) )
| ( s(s(z)) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_132877]) ).
tcf(c_132880,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(X0)))
| r(s(s(X0)),X2)
| r(s(s(s(X1))),X2)
| r(s(s(s(X1))),s(s(X0)))
| ( X2 = s(s(X0)) )
| ( X2 = s(s(s(X1))) )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_131963]) ).
tcf(c_132902,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,s(s(X2)))
| r(X1,s(s(s(X0))))
| r(s(s(X2)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(X2)))
| ( s(s(X2)) = X1 )
| ( s(s(X2)) = s(s(s(X0))) )
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_131964]) ).
tcf(c_132944,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(X0)))
| r(s(s(X0)),s(s(z)))
| r(s(s(s(X1))),s(s(z)))
| r(s(s(s(X1))),s(s(X0)))
| ( s(s(z)) = s(s(s(X1))) )
| ( s(s(X0)) = s(s(z)) )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132156]) ).
tcf(c_132946,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X2)),s(s(X0)))
| r(s(s(X0)),s(s(X2)))
| r(s(s(s(X1))),s(s(X2)))
| r(s(s(s(X1))),s(s(X0)))
| ( s(s(X2)) = s(s(s(X1))) )
| ( s(s(X0)) = s(s(X2)) )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132156]) ).
tcf(c_132961,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(X1)))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(X1)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(X1)) = s(s(z)) )
| ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_132178]) ).
tcf(c_132966,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(X0)))
| r(s(s(X0)),s(s(z)))
| r(s(s(s(X1))),s(s(z)))
| r(s(s(s(X1))),s(s(X0)))
| ( s(s(z)) = s(s(X0)) )
| ( s(s(z)) = s(s(s(X1))) )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132178]) ).
tcf(c_133024,plain,
! [X0: $i,X1: $i] :
( r(s(s(X1)),s(z))
| r(s(z),s(s(s(X0))))
| r(s(s(s(X0))),s(z))
| r(s(s(X1)),s(s(s(X0))))
| ( s(z) = s(s(X1)) )
| ( s(s(s(X0))) = s(z) )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131591]) ).
tcf(c_133025,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(X1))
| r(s(z),s(s(s(X0))))
| r(s(X1),s(s(s(X0))))
| r(s(s(s(X0))),s(X1))
| ( s(X1) = s(z) )
| ( s(X1) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131364]) ).
tcf(c_133028,plain,
! [X0: $i,X1: $i] :
( r(s(z),X1)
| r(X1,s(s(s(X0))))
| r(s(s(s(X0))),X1)
| r(s(z),s(s(s(X0))))
| ( X1 = s(z) )
| ( X1 = s(s(s(X0))) )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_130644]) ).
tcf(c_133029,plain,
( r(s(z),z)
| r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(z),s(s(s(z))))
| ( z = s(z) )
| ( z = s(s(s(z))) )
| ( s(s(s(z))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_133028]) ).
tcf(c_133030,plain,
( r(s(s(z)),s(z))
| r(s(z),s(s(s(z))))
| r(s(s(s(z))),s(z))
| r(s(s(z)),s(s(s(z))))
| ( s(z) = s(s(z)) )
| ( s(s(s(z))) = s(z) )
| ( s(s(s(z))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_133024]) ).
tcf(c_133035,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| r(s(s(s(X0))),s(z))
| ( s(z) = X1 )
| ( s(z) = s(s(s(X0))) )
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_131690]) ).
tcf(c_133038,plain,
( r(z,s(z))
| r(z,s(s(s(z))))
| r(s(z),s(s(s(z))))
| r(s(s(s(z))),s(z))
| ( s(z) = z )
| ( s(z) = s(s(s(z))) )
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_133035]) ).
tcf(c_133039,plain,
! [X0: $i,X1: $i] :
( r(s(z),X1)
| r(X1,s(s(s(X0))))
| r(s(s(s(X0))),X1)
| r(s(z),s(s(s(X0))))
| ( X1 = s(z) )
| ( s(s(s(X0))) = X1 )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131315]) ).
tcf(c_133041,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(s(s(X0))))
| r(s(z),s(s(s(X0))))
| r(s(s(s(X0))),s(z))
| ( s(z) = X1 )
| ( s(s(s(X0))) = X1 )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_131306]) ).
tcf(c_133043,plain,
( r(s(z),z)
| r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(z),s(s(s(z))))
| ( z = s(z) )
| ( s(s(s(z))) = z )
| ( s(s(s(z))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_133039]) ).
tcf(c_133447,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X1)),s(X2))
| r(s(X2),s(s(s(X0))))
| r(s(s(s(X0))),s(X2))
| r(s(s(X1)),s(s(s(X0))))
| ( s(X2) = s(s(X1)) )
| ( s(X2) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131724]) ).
tcf(c_133448,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X1)),s(X2))
| r(s(X2),s(s(s(X0))))
| r(s(s(s(X0))),s(X2))
| r(s(s(X1)),s(s(s(X0))))
| ( s(X2) = s(s(X1)) )
| ( s(s(s(X0))) = s(X2) )
| ( s(s(s(X0))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_131717]) ).
tcf(c_133452,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),X2)
| r(X2,s(s(s(X0))))
| r(s(s(s(X0))),X2)
| r(s(X1),s(s(s(X0))))
| ( X2 = s(X1) )
| ( s(s(s(X0))) = X2 )
| ( s(s(s(X0))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_131315]) ).
tcf(c_133496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132283]) ).
tcf(c_133570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132517]) ).
tcf(c_133571,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132517]) ).
tcf(c_133621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132675]) ).
tcf(c_133633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132692]) ).
tcf(c_133655,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_132788]) ).
tcf(c_133669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(X1,s(s(z)))
| ~ r(s(X2),s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_132788]) ).
tcf(c_133716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132276]) ).
tcf(c_133765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132462]) ).
tcf(c_133801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132467]) ).
tcf(c_133868,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132647]) ).
tcf(c_133869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(X0))),z)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132647]) ).
tcf(c_133904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_132669]) ).
tcf(c_133906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132669]) ).
tcf(c_133912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(z,s(s(X0)))
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132671]) ).
tcf(c_133997,plain,
! [X0: $i] :
( r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| r(s(s(s(X0))),s(z))
| r(s(s(s(X0))),s(s(z)))
| ( s(z) = s(s(s(X0))) )
| ( s(s(z)) = s(z) )
| ( s(s(z)) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_132853]) ).
tcf(c_134000,plain,
( r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| r(s(s(s(z))),s(z))
| r(s(s(s(z))),s(s(z)))
| ( s(z) = s(s(s(z))) )
| ( s(s(z)) = s(z) )
| ( s(s(z)) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_133997]) ).
tcf(c_134151,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X1))),s(s(z)))
| r(s(s(s(X0))),s(s(z)))
| r(s(s(s(X1))),s(s(s(X0))))
| ( s(s(z)) = s(s(s(X1))) )
| ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132944]) ).
tcf(c_134174,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X1))),s(s(z)))
| r(s(s(s(X0))),s(s(z)))
| r(s(s(s(X1))),s(s(s(X0))))
| ( s(s(z)) = s(s(s(X1))) )
| ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132966]) ).
tcf(c_134192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132318]) ).
tcf(c_134233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132368]) ).
tcf(c_134244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132700]) ).
tcf(c_134256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132700]) ).
tcf(c_134423,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132720]) ).
tcf(c_134431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132720]) ).
tcf(c_134463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(s(z),s(X1))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132677]) ).
tcf(c_134465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X3)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132677]) ).
tcf(c_134521,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(s(X1))))
| r(z,s(s(s(X0))))
| r(s(s(s(X1))),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X1))) = z )
| ( s(s(s(X0))) = z )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132743]) ).
tcf(c_134522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132727]) ).
tcf(c_134524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132725]) ).
tcf(c_134525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132274]) ).
tcf(c_134591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132789]) ).
tcf(c_134599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132789]) ).
tcf(c_134609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132801]) ).
tcf(c_134611,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X1)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(z,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132809]) ).
tcf(c_134612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),X2)
| ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132809]) ).
tcf(c_134617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132809]) ).
tcf(c_134725,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(X1))))
| r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X1))),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X1))) = s(s(z)) )
| ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132961]) ).
tcf(c_134754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132766]) ).
tcf(c_134756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132766]) ).
tcf(c_134771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(z),s(X1))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132800]) ).
tcf(c_134773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X1),X4)
| ~ b(X4,s(s(X3)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132800]) ).
tcf(c_134788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(s(X3),z)
| ~ b(s(X3),X2)
| ~ b(z,s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132810]) ).
tcf(c_134789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X2)
| ~ b(s(X4),X3)
| ~ b(s(X4),X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132810]) ).
tcf(c_135219,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(X2)),s(s(s(X0))))
| r(s(s(s(X1))),s(s(X2)))
| r(s(s(s(X0))),s(s(X2)))
| r(s(s(s(X1))),s(s(s(X0))))
| ( s(s(X2)) = s(s(s(X1))) )
| ( s(s(s(X0))) = s(s(X2)) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132946]) ).
tcf(c_135355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_132000]) ).
tcf(c_135362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_131486]) ).
tcf(c_135654,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,s(s(s(X2))))
| r(X1,s(s(s(X0))))
| r(s(s(s(X2))),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X2))))
| ( s(s(s(X2))) = X1 )
| ( s(s(s(X2))) = s(s(s(X0))) )
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_132902]) ).
tcf(c_135655,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),s(s(s(X2))))
| r(s(X1),s(s(s(X0))))
| r(s(s(s(X2))),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X2))))
| ( s(s(s(X2))) = s(X1) )
| ( s(s(s(X2))) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_132832]) ).
tcf(c_135661,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(s(X0))))
| r(s(s(s(X1))),X2)
| r(s(s(s(X0))),X2)
| r(s(s(s(X1))),s(s(s(X0))))
| ( X2 = s(s(s(X1))) )
| ( X2 = s(s(s(X0))) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132873]) ).
tcf(c_135662,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(s(X0))))
| r(s(s(s(X1))),X2)
| r(s(s(s(X0))),X2)
| r(s(s(s(X1))),s(s(s(X0))))
| ( X2 = s(s(s(X1))) )
| ( s(s(s(X0))) = X2 )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132849]) ).
tcf(c_135741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131091]) ).
tcf(c_135742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130788]) ).
tcf(c_135752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132669]) ).
tcf(c_135758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X3)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_132000]) ).
tcf(c_135760,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(X2),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_132324]) ).
tcf(c_135765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131486]) ).
tcf(c_135766,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(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_131324]) ).
tcf(c_135767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_131323]) ).
tcf(c_136166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133496]) ).
tcf(c_136237,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133621]) ).
tcf(c_136238,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136237]) ).
tcf(c_136249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_133633]) ).
tcf(c_136302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(z)))
| ~ 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_133669]) ).
tcf(c_136351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134233]) ).
tcf(c_136429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134463]) ).
tcf(c_136450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134611]) ).
tcf(c_136451,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136450]) ).
tcf(c_136859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_133912]) ).
tcf(c_136860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_133912]) ).
tcf(c_136894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134431]) ).
tcf(c_136895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134431]) ).
tcf(c_136898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_134431]) ).
tcf(c_136900,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(X0)))
| r(s(s(X0)),s(X2))
| r(s(s(s(X1))),s(X2))
| r(s(s(s(X1))),s(s(X0)))
| ( s(X2) = s(s(s(X1))) )
| ( s(s(X0)) = s(X2) )
| ( s(s(X0)) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_132856]) ).
tcf(c_136946,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134599]) ).
tcf(c_137244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_134754]) ).
tcf(c_137250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134771]) ).
tcf(c_137251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134788]) ).
tcf(c_137257,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(X1)))
| r(s(z),s(s(s(X0))))
| r(s(s(X1)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(X1)))
| ( s(s(X1)) = s(z) )
| ( s(s(X1)) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_133025]) ).
tcf(c_137398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133765]) ).
tcf(c_137399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133765]) ).
tcf(c_137496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ 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_134465]) ).
tcf(c_137497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134465]) ).
tcf(c_137500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),s(X3))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134465]) ).
tcf(c_137601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(s(X2),X1)
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134612]) ).
tcf(c_137615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134617]) ).
tcf(c_137713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_134756]) ).
tcf(c_137723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X0),s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134773]) ).
tcf(c_137726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X4),s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134789]) ).
tcf(c_137731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_134789]) ).
tcf(c_137780,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(X0))))
| r(s(s(s(X1))),s(X2))
| r(s(s(s(X0))),s(X2))
| r(s(s(s(X1))),s(s(s(X0))))
| ( s(X2) = s(s(s(X1))) )
| ( s(X2) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_133447]) ).
tcf(c_137781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134256]) ).
tcf(c_137873,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(X0))))
| r(s(s(s(X1))),s(X2))
| r(s(s(s(X0))),s(X2))
| r(s(s(s(X1))),s(s(s(X0))))
| ( s(X2) = s(s(s(X1))) )
| ( s(s(s(X0))) = s(X2) )
| ( s(s(s(X0))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_133448]) ).
tcf(c_138264,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(s(X0)))),s(s(X1)))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(X1)) = s(s(s(z))) )
| ( s(s(s(s(X0)))) = s(s(X1)) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_135219]) ).
tcf(c_138266,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_134725]) ).
tcf(c_138267,plain,
! [X0: $i] :
( r(z,s(s(s(z))))
| r(z,s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(z))) = z )
| ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_134521]) ).
tcf(c_138268,plain,
! [X0: $i] :
( r(s(s(s(z))),s(s(z)))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_134174]) ).
tcf(c_138269,plain,
! [X0: $i] :
( r(s(s(s(z))),s(s(z)))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_134151]) ).
tcf(c_138272,plain,
( r(s(s(s(z))),s(s(z)))
| r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(z))),s(s(s(s(z)))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138269]) ).
tcf(c_138274,plain,
( r(z,s(s(s(z))))
| r(z,s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138267]) ).
tcf(c_138275,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138266]) ).
tcf(c_138320,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_134174]) ).
tcf(c_138321,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_134151]) ).
tcf(c_138324,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(z))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_138321]) ).
tcf(c_138325,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_138320]) ).
tcf(c_138400,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(X1))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(X1))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(X1))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_134725]) ).
tcf(c_138456,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(X0))))
| r(s(s(s(X0))),s(s(z)))
| r(s(s(s(s(X1)))),s(s(z)))
| r(s(s(s(s(X1)))),s(s(s(X0))))
| ( s(s(z)) = s(s(s(s(X1)))) )
| ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_134151]) ).
tcf(c_138894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_135355]) ).
tcf(c_139084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136302]) ).
tcf(c_139185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ 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_136859]) ).
tcf(c_139207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136946]) ).
tcf(c_139232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137398]) ).
tcf(c_139516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X3)))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136898]) ).
tcf(c_139725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_135758]) ).
tcf(c_139909,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(z)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131949]) ).
tcf(c_139941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136860]) ).
tcf(c_139948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_137244]) ).
tcf(c_139956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137250]) ).
tcf(c_139995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_135362]) ).
tcf(c_139999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135362]) ).
tcf(c_140000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135362]) ).
tcf(c_140043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135765]) ).
tcf(c_140044,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(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135765]) ).
tcf(c_140048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135765]) ).
tcf(c_140061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_135766]) ).
tcf(c_140078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_135767]) ).
tcf(c_140190,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(s(X1))))
| r(s(z),s(s(s(X0))))
| r(s(s(s(X1))),s(s(s(X0))))
| r(s(s(s(X0))),s(s(s(X1))))
| ( s(s(s(X1))) = s(z) )
| ( s(s(s(X1))) = s(s(s(X0))) )
| ( s(s(s(X0))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_137257]) ).
tcf(c_140191,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_132276]) ).
tcf(c_140192,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_140191]) ).
tcf(c_140294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_132462]) ).
tcf(c_140401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137500]) ).
tcf(c_140409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137500]) ).
tcf(c_140426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),X3)
| ~ 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_137601]) ).
tcf(c_140576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X4),s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137726]) ).
tcf(c_140579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ 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_137723]) ).
tcf(c_140587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137723]) ).
tcf(c_140694,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(s(X1))))
| r(X2,s(s(s(s(X0)))))
| r(s(s(s(X1))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(X1))) = X2 )
| ( s(s(s(s(X0)))) = X2 )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_135654]) ).
tcf(c_140723,plain,
! [X0: $i,X1: $i] :
( r(s(X1),s(s(s(z))))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(z))) = s(X1) )
| ( s(s(s(s(X0)))) = s(X1) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_135655]) ).
tcf(c_140724,plain,
( r(s(z),s(s(s(z))))
| r(s(z),s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_140723]) ).
tcf(c_140727,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(X1))))
| r(s(X2),s(s(s(s(X0)))))
| r(s(s(s(X1))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(X1))) = s(X2) )
| ( s(s(s(s(X0)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_135655]) ).
tcf(c_140787,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(z))),X1)
| r(X1,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),X1)
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( X1 = s(s(s(z))) )
| ( X1 = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_135661]) ).
tcf(c_140788,plain,
( r(s(s(s(z))),z)
| r(z,s(s(s(s(z)))))
| r(s(s(s(s(z)))),z)
| r(s(s(s(z))),s(s(s(s(z)))))
| ( z = s(s(s(z))) )
| ( z = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_140787]) ).
tcf(c_140789,plain,
! [X0: $i,X1: $i] :
( r(X1,s(s(s(z))))
| r(s(s(s(z))),X1)
| r(s(s(s(s(X0)))),X1)
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( X1 = s(s(s(z))) )
| ( X1 = s(s(s(s(X0)))) )
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_135661]) ).
tcf(c_140790,plain,
( r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(s(s(s(z)))),z)
| r(s(s(s(s(z)))),s(s(s(z))))
| ( z = s(s(s(z))) )
| ( z = s(s(s(s(z)))) )
| ( s(s(s(z))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_140789]) ).
tcf(c_140793,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(s(X0))))
| r(s(s(s(X0))),X2)
| r(s(s(s(s(X1)))),X2)
| r(s(s(s(s(X1)))),s(s(s(X0))))
| ( X2 = s(s(s(X0))) )
| ( X2 = s(s(s(s(X1)))) )
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_135661]) ).
tcf(c_140820,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(z))),X1)
| r(X1,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),X1)
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( X1 = s(s(s(z))) )
| ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_135662]) ).
tcf(c_140824,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(s(X1))),X2)
| r(X2,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),X2)
| r(s(s(s(X1))),s(s(s(s(X0)))))
| ( X2 = s(s(s(X1))) )
| ( s(s(s(s(X0)))) = X2 )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_135662]) ).
tcf(c_141008,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(z))),s(X1))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(X1))
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( s(X1) = s(s(s(z))) )
| ( s(X1) = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_137780]) ).
tcf(c_141009,plain,
( r(s(s(s(z))),s(z))
| r(s(z),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(z))
| r(s(s(s(z))),s(s(s(s(z)))))
| ( s(z) = s(s(s(z))) )
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_141008]) ).
tcf(c_141010,plain,
! [X0: $i,X1: $i] :
( r(s(X1),s(s(s(z))))
| r(s(s(s(z))),s(X1))
| r(s(s(s(s(X0)))),s(X1))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(X1) = s(s(s(z))) )
| ( s(X1) = s(s(s(s(X0)))) )
| ( s(s(s(z))) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_137780]) ).
tcf(c_141011,plain,
( r(s(z),s(s(s(z))))
| r(s(s(s(z))),s(z))
| r(s(s(s(s(z)))),s(z))
| r(s(s(s(s(z)))),s(s(s(z))))
| ( s(z) = s(s(s(z))) )
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(s(z))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_141010]) ).
tcf(c_141045,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(s(s(X1))),s(X2))
| r(s(X2),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(X2))
| r(s(s(s(X1))),s(s(s(s(X0)))))
| ( s(X2) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_137873]) ).
tcf(c_141047,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(X0))))
| r(s(s(s(X0))),s(X2))
| r(s(s(s(s(X1)))),s(X2))
| r(s(s(s(s(X1)))),s(s(s(X0))))
| ( s(X2) = s(s(s(s(X1)))) )
| ( s(s(s(X0))) = s(X2) )
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_137873]) ).
tcf(c_141296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_136895]) ).
tcf(c_141297,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_136894]) ).
tcf(c_141321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_137781]) ).
tcf(c_141328,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_134522]) ).
tcf(c_141329,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_134524]) ).
tcf(c_141330,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_133869]) ).
tcf(c_141332,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_133571]) ).
tcf(c_141333,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141332]) ).
tcf(c_141334,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141330]) ).
tcf(c_141365,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_137496]) ).
tcf(c_141367,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_136450]) ).
tcf(c_141371,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_141367]) ).
tcf(c_141372,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_141365]) ).
tcf(c_141419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),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_137497]) ).
tcf(c_141626,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_136895]) ).
tcf(c_141632,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132466]) ).
tcf(c_141633,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132725]) ).
tcf(c_141634,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132274]) ).
tcf(c_141635,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132275]) ).
tcf(c_141636,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141635]) ).
tcf(c_141637,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141633]) ).
tcf(c_142055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(X2))
| ~ r(X1,s(X2))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_132076]) ).
tcf(c_142057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(z,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132043]) ).
tcf(c_142058,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132282]) ).
tcf(c_142059,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(z,s(X0))
| ~ r(X2,s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131309]) ).
tcf(c_142060,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_142058]) ).
tcf(c_142061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X2)),z)
| ~ r(s(X0),s(s(X2)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132720]) ).
tcf(c_142064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ 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_133801]) ).
tcf(c_142069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X2))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_133570]) ).
tcf(c_142070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_133765]) ).
tcf(c_142071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_134599]) ).
tcf(c_142072,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_134591]) ).
tcf(c_142645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134522]) ).
tcf(c_142649,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133571]) ).
tcf(c_142713,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_139909]) ).
tcf(c_142916,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(s(X0))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135760]) ).
tcf(c_142936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132331]) ).
tcf(c_143210,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_138894]) ).
tcf(c_143296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139084]) ).
tcf(c_143611,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,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_140401]) ).
tcf(c_143612,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_143611]) ).
tcf(c_143799,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139999]) ).
tcf(c_144476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139725]) ).
tcf(c_144568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(X3),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139516]) ).
tcf(c_144601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139516]) ).
tcf(c_144654,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139941]) ).
tcf(c_144656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_139941]) ).
tcf(c_144660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_139948]) ).
tcf(c_144661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_139948]) ).
tcf(c_144676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139956]) ).
tcf(c_144682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_140043]) ).
tcf(c_144686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_140043]) ).
tcf(c_144699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140579]) ).
tcf(c_145368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_137399]) ).
tcf(c_145370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_136249]) ).
tcf(c_145373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(s(s(X1))),s(X3))
| ~ r(s(s(s(s(X0)))),s(X3))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139516]) ).
tcf(c_145720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_139995]) ).
tcf(c_145723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139995]) ).
tcf(c_145744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_140044]) ).
tcf(c_145839,plain,
! [X0: $i] :
( r(s(z),s(s(s(z))))
| r(s(z),s(s(s(s(X0)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(z))))
| ( s(s(s(z))) = s(z) )
| ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_140190]) ).
tcf(c_145953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_140426]) ).
tcf(c_146106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132276]) ).
tcf(c_146107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X1))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_132462]) ).
tcf(c_146111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X1))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_140294]) ).
tcf(c_146126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132368]) ).
tcf(c_146155,plain,
! [X0: $i,X1: $i] :
( b(s(X1),s(s(X1)))
| r(s(X1),s(s(X1)))
| ( s(s(X1)) = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_117234,c_73]) ).
tcf(c_146213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(s(X0))),X2)
| ~ 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_134525]) ).
tcf(c_146215,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(X0))),z)
| ~ 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_133868]) ).
tcf(c_146218,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ 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_146215]) ).
tcf(c_146274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(X3),s(X1))
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140576]) ).
tcf(c_146275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X4),s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140576]) ).
tcf(c_147118,plain,
! [X0: $i] :
( b(s(s(X0)),s(X0))
| r(s(s(X0)),s(X0))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_107731]) ).
tcf(c_147897,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(s(z)))
| r(s(s(s(s(X0)))),s(s(z)))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| ( s(s(z)) = s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_138456]) ).
tcf(c_147900,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),X1)
| r(X1,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),X1)
| r(s(s(z)),s(s(s(s(X0)))))
| ( X1 = s(s(z)) )
| ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132847]) ).
tcf(c_147904,plain,
! [X0: $i,X1: $i] :
( r(s(X1),s(s(z)))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(s(z)) = s(X1) )
| ( s(s(s(s(X0)))) = s(X1) )
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132823]) ).
tcf(c_147905,plain,
! [X0: $i] :
( r(z,s(s(z)))
| r(z,s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = z ) ),
inference(instantiation,[status(thm)],[c_132747]) ).
tcf(c_147906,plain,
! [X0: $i] :
( r(z,s(s(z)))
| r(z,s(s(s(s(X0)))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_132741]) ).
tcf(c_147908,plain,
( r(z,s(s(z)))
| r(z,s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(z)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_147906]) ).
tcf(c_147909,plain,
( r(z,s(s(z)))
| r(z,s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = z ) ),
inference(instantiation,[status(thm)],[c_147905]) ).
tcf(c_147910,plain,
( r(s(z),s(s(z)))
| r(s(z),s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| ( s(s(z)) = s(z) )
| ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(z)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_147904]) ).
tcf(c_147912,plain,
( r(s(s(z)),z)
| r(z,s(s(s(s(z)))))
| r(s(s(s(s(z)))),z)
| r(s(s(z)),s(s(s(s(z)))))
| ( z = s(s(z)) )
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(z)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_147900]) ).
tcf(c_147920,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(s(s(s(X1)))))
| r(s(s(z)),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X1)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_138400]) ).
tcf(c_147921,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(X1))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(X1))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(X1) = s(s(z)) )
| ( s(s(s(s(X0)))) = s(X1) )
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_133448]) ).
tcf(c_147922,plain,
! [X0: $i,X1: $i] :
( r(s(s(z)),s(X1))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(X1))
| r(s(s(z)),s(s(s(s(X0)))))
| ( s(X1) = s(s(z)) )
| ( s(X1) = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_133447]) ).
tcf(c_147929,plain,
( r(s(s(z)),s(z))
| r(s(z),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(z))
| r(s(s(z)),s(s(s(s(z)))))
| ( s(z) = s(s(z)) )
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_147922]) ).
tcf(c_147940,plain,
! [X0: $i,X1: $i] :
( r(s(X1),z)
| r(z,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),z)
| r(s(X1),s(s(s(s(X0)))))
| ( z = s(X1) )
| ( z = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_131310]) ).
tcf(c_147942,plain,
( r(s(z),z)
| r(z,s(s(s(s(z)))))
| r(s(s(s(s(z)))),z)
| r(s(z),s(s(s(s(z)))))
| ( z = s(z) )
| ( z = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_147940]) ).
tcf(c_147946,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),z)
| r(s(s(s(s(X0)))),z)
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| ( z = s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_140824]) ).
tcf(c_147948,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(X0)))
| r(s(s(X0)),z)
| r(s(s(s(s(X1)))),z)
| r(s(s(s(s(X1)))),s(s(X0)))
| ( z = s(s(X0)) )
| ( z = s(s(s(s(X1)))) )
| ( s(s(X0)) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_132880]) ).
tcf(c_147949,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(X0)))
| r(s(s(X0)),z)
| r(s(s(s(s(X1)))),z)
| r(s(s(s(s(X1)))),s(s(X0)))
| ( z = s(s(s(s(X1)))) )
| ( s(s(X0)) = z )
| ( s(s(X0)) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_132856]) ).
tcf(c_147950,plain,
( r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(s(z)))),z)
| r(s(s(s(s(z)))),s(s(z)))
| ( z = s(s(s(s(z)))) )
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_147949]) ).
tcf(c_147951,plain,
( r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(s(z)))),z)
| r(s(s(s(s(z)))),s(s(z)))
| ( z = s(s(z)) )
| ( z = s(s(s(s(z)))) )
| ( s(s(z)) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_147948]) ).
tcf(c_148020,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(X1))),s(z))
| r(s(z),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(z))
| r(s(s(s(X1))),s(s(s(s(X0)))))
| ( s(z) = s(s(s(X1))) )
| ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_141045]) ).
tcf(c_148068,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_142058]) ).
tcf(c_148120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(X1),s(X2))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142055]) ).
tcf(c_148129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X0))
| ~ r(s(X2),s(X0))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142059]) ).
tcf(c_148264,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(s(X1)))))
| r(s(X2),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X1)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_140727]) ).
tcf(c_148265,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X2,s(s(s(s(X1)))))
| r(X2,s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X1)))) = X2 )
| ( s(s(s(s(X0)))) = X2 )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_140694]) ).
tcf(c_148339,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(s(s(s(X0)))))
| r(s(z),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(z))
| ( s(z) = X1 )
| ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_133041]) ).
tcf(c_148340,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(s(s(s(X0)))))
| r(s(z),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(z))
| ( s(z) = X1 )
| ( s(z) = s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) = X1 ) ),
inference(instantiation,[status(thm)],[c_133035]) ).
tcf(c_148343,plain,
! [X0: $i] :
( r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| r(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X0)))),s(s(z)))
| ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) = s(z) )
| ( s(s(z)) = s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_133997]) ).
tcf(c_148345,plain,
( r(s(z),s(s(z)))
| r(s(s(z)),s(z))
| r(s(s(s(s(z)))),s(z))
| r(s(s(s(s(z)))),s(s(z)))
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) = s(z) )
| ( s(s(z)) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_148343]) ).
tcf(c_148346,plain,
( r(z,s(z))
| r(z,s(s(s(s(z)))))
| r(s(z),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(z))
| ( s(z) = z )
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(s(s(z)))) = z ) ),
inference(instantiation,[status(thm)],[c_148340]) ).
tcf(c_148349,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(X0)))
| r(s(s(X0)),s(z))
| r(s(s(s(s(X1)))),s(z))
| r(s(s(s(s(X1)))),s(s(X0)))
| ( s(z) = s(s(s(s(X1)))) )
| ( s(s(X0)) = s(z) )
| ( s(s(X0)) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_136900]) ).
tcf(c_148556,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142072]) ).
tcf(c_148861,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142713]) ).
tcf(c_148863,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(z))),s(s(s(s(X1)))))
| r(s(s(s(z))),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(s(s(X1)))))
| ( s(s(s(s(X1)))) = s(s(s(z))) )
| ( s(s(s(s(X0)))) = s(s(s(z))) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_138264]) ).
tcf(c_148881,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_143210]) ).
tcf(c_149475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_142057]) ).
tcf(c_149616,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X1),s(X2))
| r(s(X2),s(s(s(s(X0)))))
| r(s(X1),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(X2))
| ( s(X2) = s(X1) )
| ( s(s(s(s(X0)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_133452]) ).
tcf(c_149813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142061]) ).
tcf(c_149889,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(s(X2),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(X2))
| r(s(s(s(s(X0)))),s(X2))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| ( s(X2) = s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) = s(X2) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_141047]) ).
tcf(c_149907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142070]) ).
tcf(c_149918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142071]) ).
tcf(c_150180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X2))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143296]) ).
tcf(c_150561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145370]) ).
tcf(c_150892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_146107]) ).
tcf(c_150893,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_150892]) ).
tcf(c_150895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_146107]) ).
tcf(c_151495,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141328]) ).
tcf(c_151496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_141328]) ).
tcf(c_151732,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141632]) ).
tcf(c_152131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_146111]) ).
tcf(c_152276,plain,
! [X0: $i,X1: $i] :
( r(s(z),X1)
| r(X1,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),X1)
| r(s(z),s(s(s(s(X0)))))
| ( X1 = s(z) )
| ( s(s(s(s(X0)))) = X1 )
| ( s(s(s(s(X0)))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_133039]) ).
tcf(c_152577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X2))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_144601]) ).
tcf(c_153264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ 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_142916]) ).
tcf(c_153311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ 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_144686]) ).
tcf(c_153675,plain,
! [X0: $i,X1: $i] :
( b(s(s(X1)),s(X1))
| r(s(s(X1)),s(X1))
| ( s(s(X1)) = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_147118,c_73]) ).
tcf(c_153782,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142645]) ).
tcf(c_153957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X3))
| ~ r(s(s(s(X2))),s(X3))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_144568]) ).
tcf(c_154060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145368]) ).
tcf(c_154251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_145373]) ).
tcf(c_154481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ 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_145720]) ).
tcf(c_155195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),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_146274]) ).
tcf(c_155293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145744]) ).
tcf(c_155322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_146275]) ).
tcf(c_155386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(X2),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_133912]) ).
tcf(c_155388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132120]) ).
tcf(c_155396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145953]) ).
tcf(c_155398,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155396]) ).
tcf(c_155399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(X2,s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140587]) ).
tcf(c_155403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140048]) ).
tcf(c_155404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140000]) ).
tcf(c_155405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_140579]) ).
tcf(c_155406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139956]) ).
tcf(c_155415,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_137496]) ).
tcf(c_155417,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(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_136450]) ).
tcf(c_155421,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),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_155417]) ).
tcf(c_155422,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155415]) ).
tcf(c_155458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_137731]) ).
tcf(c_155463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_137497]) ).
tcf(c_155464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_137251]) ).
tcf(c_155467,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132332]) ).
tcf(c_155483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139948]) ).
tcf(c_155485,plain,
( ~ b(s(s(z)),s(z))
| ~ 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(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155483]) ).
tcf(c_155487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_134609]) ).
tcf(c_155495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132257]) ).
tcf(c_155496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X1,s(s(z)))
| ~ b(s(s(z)),X2)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132258]) ).
tcf(c_155497,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155496]) ).
tcf(c_155500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_144656]) ).
tcf(c_155502,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155500]) ).
tcf(c_155507,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_144654]) ).
tcf(c_155531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X3)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_133906]) ).
tcf(c_155532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X2)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_133904]) ).
tcf(c_155533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),z)
| ~ b(X1,s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_131491]) ).
tcf(c_155536,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_155532]) ).
tcf(c_155537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X0)
| ~ b(z,s(s(X3)))
| ~ b(X0,s(s(X3)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132802]) ).
tcf(c_155544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132318]) ).
tcf(c_155546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_144682]) ).
tcf(c_155551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132326]) ).
tcf(c_155554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X2)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132665]) ).
tcf(c_155556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_131387]) ).
tcf(c_155558,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155554]) ).
tcf(c_155559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140078]) ).
tcf(c_155561,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131090]) ).
tcf(c_155563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140409]) ).
tcf(c_155565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135752]) ).
tcf(c_155566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_136429]) ).
tcf(c_155567,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155566]) ).
tcf(c_155830,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_135355]) ).
tcf(c_155836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132318]) ).
tcf(c_155845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142936]) ).
tcf(c_155846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_144699]) ).
tcf(c_155848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_144661]) ).
tcf(c_155852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_144660]) ).
tcf(c_155872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(z),s(s(s(X3))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_145723]) ).
tcf(c_155874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135742]) ).
tcf(c_155875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_135741]) ).
tcf(c_156366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_131492]) ).
tcf(c_156400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140061]) ).
tcf(c_157181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132120]) ).
tcf(c_157192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140048]) ).
tcf(c_157194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_140579]) ).
tcf(c_157278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131489]) ).
tcf(c_157279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131399]) ).
tcf(c_157281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_134192]) ).
tcf(c_157506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_137713]) ).
tcf(c_157509,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(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_135766]) ).
tcf(c_157806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X2))),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_148129]) ).
tcf(c_157986,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_149475]) ).
tcf(c_158513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_150180]) ).
tcf(c_158790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_150561]) ).
tcf(c_158967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_150895]) ).
tcf(c_160101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_152131]) ).
tcf(c_160506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(X2))),s(s(s(s(X1)))))
| ~ 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_152577]) ).
tcf(c_162481,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(s(X0))))
| r(s(s(s(X0))),s(z))
| r(s(s(s(s(X1)))),s(z))
| r(s(s(s(s(X1)))),s(s(s(X0))))
| ( s(z) = s(s(s(s(X1)))) )
| ( s(s(s(X0))) = s(z) )
| ( s(s(s(X0))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_148349]) ).
tcf(c_164286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_154060]) ).
tcf(c_164444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X2))),s(s(X3)))
| ~ r(s(s(s(s(X0)))),s(s(X3)))
| ~ r(s(s(s(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_154251]) ).
tcf(c_164861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155195]) ).
tcf(c_164973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155293]) ).
tcf(c_164997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155322]) ).
tcf(c_165727,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X2))))
| ~ r(s(s(s(X2))),s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132283]) ).
tcf(c_165756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131070]) ).
tcf(c_165790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_133765]) ).
tcf(c_165791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(s(X0)))
| ~ r(s(X3),s(s(X0)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_134599]) ).
tcf(c_165795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_133716]) ).
tcf(c_166526,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(X1)))
| r(s(z),s(s(s(s(X0)))))
| r(s(s(X1)),s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),s(s(X1)))
| ( s(s(X1)) = s(z) )
| ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(X0)))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_149616]) ).
tcf(c_169163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_165756]) ).
tcf(c_169739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155405]) ).
tcf(c_169740,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_169739]) ).
tcf(c_169799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_155464]) ).
tcf(c_169800,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_169799]) ).
tcf(c_169814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_155532]) ).
tcf(c_169824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_155532]) ).
tcf(c_169825,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_169824]) ).
tcf(c_169853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_155836]) ).
tcf(c_170194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X3,s(s(s(z))))
| ~ b(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_156366]) ).
tcf(c_170332,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155386]) ).
tcf(c_170333,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170332]) ).
tcf(c_170334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155386]) ).
tcf(c_170348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155403]) ).
tcf(c_170349,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170348]) ).
tcf(c_170433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155487]) ).
tcf(c_170434,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170433]) ).
tcf(c_170470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(z),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155496]) ).
tcf(c_170508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155544]) ).
tcf(c_170646,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155561]) ).
tcf(c_170647,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_170646]) ).
tcf(c_170652,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155561]) ).
tcf(c_170893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_157806]) ).
tcf(c_171981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155388]) ).
tcf(c_172026,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_165727]) ).
tcf(c_172079,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155495]) ).
tcf(c_172080,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_172079]) ).
tcf(c_172248,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(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157181]) ).
tcf(c_173062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ 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_160101]) ).
tcf(c_173709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155533]) ).
tcf(c_173710,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_173709]) ).
tcf(c_173715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155533]) ).
tcf(c_173721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_155458]) ).
tcf(c_173812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_155531]) ).
tcf(c_173865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155565]) ).
tcf(c_173869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155565]) ).
tcf(c_174187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157194]) ).
tcf(c_174303,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(s(s(X0)))))
| r(s(s(s(s(X1)))),s(z))
| r(s(s(s(s(X0)))),s(z))
| r(s(s(s(s(X1)))),s(s(s(s(X0)))))
| ( s(z) = s(s(s(s(X1)))) )
| ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(X0)))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_162481]) ).
tcf(c_174375,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X1))
| ~ r(s(z),s(X1))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_148120]) ).
tcf(c_174489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164997]) ).
tcf(c_174554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155399]) ).
tcf(c_174604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155537]) ).
tcf(c_174610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(z)),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155537]) ).
tcf(c_174643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155559]) ).
tcf(c_174691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155563]) ).
tcf(c_174740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155872]) ).
tcf(c_174745,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155872]) ).
tcf(c_174746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),X2)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(z),s(s(s(X3))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155872]) ).
tcf(c_174756,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X2)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155874]) ).
tcf(c_174757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X3)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155874]) ).
tcf(c_174772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155875]) ).
tcf(c_174773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_155875]) ).
tcf(c_174848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157192]) ).
tcf(c_175065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157278]) ).
tcf(c_175082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157281]) ).
tcf(c_175220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),s(X3))
| ~ r(s(X3),s(s(s(s(X1)))))
| ~ 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_158967]) ).
tcf(c_175454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_157509]) ).
tcf(c_177343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_156400]) ).
tcf(c_177347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_156400]) ).
tcf(c_177535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_157506]) ).
tcf(c_177536,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177535]) ).
tcf(c_177537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_157506]) ).
tcf(c_177913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_164973]) ).
tcf(c_178129,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(s(z)))),s(X1))
| r(s(X1),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(X1))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ( s(X1) = s(s(s(s(z)))) )
| ( s(s(s(s(s(X0))))) = s(X1) )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_149889]) ).
tcf(c_178132,plain,
! [X0: $i,X1: $i] :
( r(X1,s(s(s(s(z)))))
| r(X1,s(s(s(s(s(X0))))))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = X1 )
| ( s(s(s(s(s(X0))))) = X1 )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_148265]) ).
tcf(c_178133,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))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(X1) )
| ( s(s(s(s(s(X0))))) = s(X1) )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_148264]) ).
tcf(c_178134,plain,
! [X0: $i] :
( r(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(s(s(z))) )
| ( s(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_148863]) ).
tcf(c_178135,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_147920]) ).
tcf(c_178137,plain,
! [X0: $i] :
( r(s(s(s(s(z)))),z)
| r(z,s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),z)
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ( z = s(s(s(s(z)))) )
| ( s(s(s(s(s(X0))))) = z )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_147946]) ).
tcf(c_178139,plain,
! [X0: $i] :
( r(s(s(s(s(z)))),s(s(z)))
| r(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(s(s(X0))))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_147897]) ).
tcf(c_178141,plain,
( r(s(s(s(s(z)))),s(s(z)))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(s(s(z))))) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178139]) ).
tcf(c_178143,plain,
( r(s(s(s(s(z)))),z)
| r(z,s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ( z = s(s(s(s(z)))) )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178137]) ).
tcf(c_178145,plain,
( r(s(s(z)),s(s(s(s(z)))))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178135]) ).
tcf(c_178146,plain,
( r(s(s(s(z))),s(s(s(s(z)))))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(s(s(z))) )
| ( s(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_178134]) ).
tcf(c_178147,plain,
( r(s(z),s(s(s(s(z)))))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178133]) ).
tcf(c_178148,plain,
( r(z,s(s(s(s(z)))))
| r(z,s(s(s(s(s(z))))))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178132]) ).
tcf(c_178149,plain,
( r(s(s(s(s(z)))),s(z))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(z))
| r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ( s(z) = s(s(s(s(z)))) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_178129]) ).
tcf(c_178232,plain,
! [X0: $i,X1: $i] :
( r(s(X1),s(s(s(s(z)))))
| 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)))))
| ( s(X1) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(z)))) = s(X1) )
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_149889]) ).
tcf(c_178240,plain,
! [X0: $i] :
( r(z,s(s(s(s(z)))))
| r(s(s(s(s(z)))),z)
| r(s(s(s(s(s(X0))))),z)
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( z = s(s(s(s(s(X0))))) )
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_147946]) ).
tcf(c_178242,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_147897]) ).
tcf(c_178244,plain,
( r(s(s(z)),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(z)))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_178242]) ).
tcf(c_178246,plain,
( r(z,s(s(s(s(z)))))
| r(s(s(s(s(z)))),z)
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( z = s(s(s(s(s(z))))) )
| ( s(s(s(s(z)))) = z )
| ( s(s(s(s(z)))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_178240]) ).
tcf(c_178252,plain,
( r(s(z),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(z))
| r(s(s(s(s(s(z))))),s(z))
| r(s(s(s(s(s(z))))),s(s(s(s(z)))))
| ( s(z) = s(s(s(s(s(z))))) )
| ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(z)))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_178232]) ).
tcf(c_179114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_169799]) ).
tcf(c_179115,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_179114]) ).
tcf(c_179121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_169814]) ).
tcf(c_179122,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_179121]) ).
tcf(c_179138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_169853]) ).
tcf(c_179139,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_179138]) ).
tcf(c_179615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_170334]) ).
tcf(c_179663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_170470]) ).
tcf(c_179664,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179663]) ).
tcf(c_179951,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_170893]) ).
tcf(c_179953,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_170893]) ).
tcf(c_180371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174756]) ).
tcf(c_180766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(X2,s(s(s(z))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_170194]) ).
tcf(c_181066,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_173709]) ).
tcf(c_181081,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(z),s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_173715]) ).
tcf(c_181132,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174604]) ).
tcf(c_181147,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174610]) ).
tcf(c_181172,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174740]) ).
tcf(c_181191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174745]) ).
tcf(c_181205,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174772]) ).
tcf(c_182002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_173812]) ).
tcf(c_182018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_173865]) ).
tcf(c_182158,plain,
! [X0: $i] :
( r(s(z),s(s(s(s(z)))))
| r(s(s(s(s(z)))),s(z))
| r(s(s(s(s(s(X0))))),s(z))
| r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ( s(z) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(z)))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_174303]) ).
tcf(c_182318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(X1),s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_175454]) ).
tcf(c_182341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_177343]) ).
tcf(c_182578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174554]) ).
tcf(c_182666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174643]) ).
tcf(c_182674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174643]) ).
tcf(c_182692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174691]) ).
tcf(c_182693,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182692]) ).
tcf(c_182763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174746]) ).
tcf(c_182789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174757]) ).
tcf(c_182790,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182789]) ).
tcf(c_182865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X3)))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174848]) ).
tcf(c_183786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_172248]) ).
tcf(c_184051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_177347]) ).
tcf(c_184154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_177537]) ).
tcf(c_184384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_177913]) ).
tcf(c_184639,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),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_173062]) ).
tcf(c_184643,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146213]) ).
tcf(c_184645,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184643]) ).
tcf(c_184646,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184639]) ).
tcf(c_184688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X2))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_165790]) ).
tcf(c_184699,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),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_141626]) ).
tcf(c_184703,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184688]) ).
tcf(c_184712,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_158790]) ).
tcf(c_184713,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184712]) ).
tcf(c_184754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_164444]) ).
tcf(c_184764,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_160506]) ).
tcf(c_184767,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_158513]) ).
tcf(c_184772,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_149918]) ).
tcf(c_184773,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_149907]) ).
tcf(c_184775,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_148556]) ).
tcf(c_184776,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184775]) ).
tcf(c_184777,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184767]) ).
tcf(c_184778,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(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_184764]) ).
tcf(c_184779,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(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_184754]) ).
tcf(c_185118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(X2))),X1)
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_173721]) ).
tcf(c_185141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_155551]) ).
tcf(c_185146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_155848]) ).
tcf(c_185155,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_155463]) ).
tcf(c_185179,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_185118]) ).
tcf(c_185194,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_170508]) ).
tcf(c_185201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164861]) ).
tcf(c_185204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_155845]) ).
tcf(c_185220,plain,
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_185204]) ).
tcf(c_186258,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_136894]) ).
tcf(c_186267,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186258]) ).
tcf(c_186303,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_139232]) ).
tcf(c_186304,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_139207]) ).
tcf(c_186308,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_136351]) ).
tcf(c_186309,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ 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_136166]) ).
tcf(c_186314,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_133869]) ).
tcf(c_186316,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_133571]) ).
tcf(c_186317,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186316]) ).
tcf(c_186318,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186314]) ).
tcf(c_186319,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186309]) ).
tcf(c_186320,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186308]) ).
tcf(c_186321,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186304]) ).
tcf(c_186322,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186303]) ).
tcf(c_186339,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(X1))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_142064]) ).
tcf(c_186342,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(z,s(s(s(s(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_186339]) ).
tcf(c_186355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_165790]) ).
tcf(c_186357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(X1,s(s(s(z))))
| ~ r(s(X2),s(s(s(z))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_165791]) ).
tcf(c_186358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(X2))),s(X1))
| ~ r(s(s(s(z))),s(s(s(X2))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_153957]) ).
tcf(c_186365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(X2,s(s(s(z))))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_146126]) ).
tcf(c_186368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_142069]) ).
tcf(c_186369,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_142713]) ).
tcf(c_186370,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186369]) ).
tcf(c_186371,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186365]) ).
tcf(c_186374,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(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_186357]) ).
tcf(c_186375,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186355]) ).
tcf(c_186379,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141296]) ).
tcf(c_186382,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_186379]) ).
tcf(c_186393,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_158790]) ).
tcf(c_186394,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_186393]) ).
tcf(c_187892,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181081]) ).
tcf(c_187893,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_187892]) ).
tcf(c_187900,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181132]) ).
tcf(c_187906,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181147]) ).
tcf(c_187912,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181172]) ).
tcf(c_187920,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181205]) ).
tcf(c_187996,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_153782]) ).
tcf(c_188001,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ 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(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_151496]) ).
tcf(c_188005,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188001]) ).
tcf(c_188008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_165795]) ).
tcf(c_188012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X0))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_146106]) ).
tcf(c_188014,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_188012]) ).
tcf(c_188016,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_188008]) ).
tcf(c_188021,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(X1))
| ~ r(s(z),s(X1))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_174375]) ).
tcf(c_188025,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_148068]) ).
tcf(c_188035,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141633]) ).
tcf(c_188036,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141329]) ).
tcf(c_188040,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141634]) ).
tcf(c_188043,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_188040]) ).
tcf(c_188044,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188036]) ).
tcf(c_188045,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_188035]) ).
tcf(c_188046,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_188025]) ).
tcf(c_188052,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_151495]) ).
tcf(c_189219,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_179121]) ).
tcf(c_189220,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_189219]) ).
tcf(c_189489,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_179615]) ).
tcf(c_189490,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_189489]) ).
tcf(c_189836,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_180766]) ).
tcf(c_189837,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_180766]) ).
tcf(c_190361,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_181191]) ).
tcf(c_190431,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_182674]) ).
tcf(c_195291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_182002]) ).
tcf(c_195304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_182018]) ).
tcf(c_195900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_182318]) ).
tcf(c_195901,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_195900]) ).
tcf(c_196570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_175220]) ).
tcf(c_196864,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_169163]) ).
tcf(c_197007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141321]) ).
tcf(c_198199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X1)))),X2)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_182578]) ).
tcf(c_198395,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_182763]) ).
tcf(c_198396,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_198395]) ).
tcf(c_199198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_183786]) ).
tcf(c_199199,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_199198]) ).
tcf(c_199726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_184384]) ).
tcf(c_199727,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(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_199726]) ).
tcf(c_200409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_149813]) ).
tcf(c_204767,plain,
! [X0: $i] :
( r(s(s(z)),s(z))
| r(s(z),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(z))
| r(s(s(z)),s(s(s(s(s(X0))))))
| ( s(z) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(z) )
| ( s(s(s(s(s(X0))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_147921]) ).
tcf(c_204770,plain,
( r(s(s(z)),s(z))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(z))
| r(s(s(z)),s(s(s(s(s(z))))))
| ( s(z) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_204767]) ).
tcf(c_204775,plain,
! [X0: $i,X1: $i] :
( r(s(z),s(s(X1)))
| r(s(z),s(s(s(s(s(X0))))))
| r(s(s(X1)),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(X1)))
| ( s(s(X1)) = s(z) )
| ( s(s(s(s(s(X0))))) = s(z) )
| ( s(s(s(s(s(X0))))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_166526]) ).
tcf(c_204777,plain,
! [X0: $i,X1: $i] :
( r(s(z),X1)
| r(X1,s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),X1)
| r(s(z),s(s(s(s(s(X0))))))
| ( X1 = s(z) )
| ( s(s(s(s(s(X0))))) = X1 )
| ( s(s(s(s(s(X0))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_152276]) ).
tcf(c_204781,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(X1,s(s(s(s(s(X0))))))
| r(s(z),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(z))
| ( s(z) = X1 )
| ( s(s(s(s(s(X0))))) = X1 )
| ( s(s(s(s(s(X0))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_148339]) ).
tcf(c_204783,plain,
! [X0: $i,X1: $i] :
( r(s(s(s(X1))),s(z))
| r(s(z),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(z))
| r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ( s(z) = s(s(s(X1))) )
| ( s(s(s(s(s(X0))))) = s(z) )
| ( s(s(s(s(s(X0))))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_148020]) ).
tcf(c_204788,plain,
! [X0: $i] :
( r(s(z),s(s(s(z))))
| r(s(z),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(s(z))) = s(z) )
| ( s(s(s(s(s(X0))))) = s(z) )
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_145839]) ).
tcf(c_204789,plain,
( r(s(z),s(s(s(z))))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(s(z))) = s(z) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_204788]) ).
tcf(c_204791,plain,
( r(s(s(s(z))),s(z))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(z))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| ( s(z) = s(s(s(z))) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_204783]) ).
tcf(c_204793,plain,
( r(z,s(z))
| r(z,s(s(s(s(s(z))))))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(z))
| ( s(z) = z )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_204781]) ).
tcf(c_204795,plain,
( r(s(z),z)
| r(z,s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),z)
| r(s(z),s(s(s(s(s(z))))))
| ( z = s(z) )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(z) ) ),
inference(instantiation,[status(thm)],[c_204777]) ).
tcf(c_204797,plain,
( r(s(z),s(s(z)))
| r(s(z),s(s(s(s(s(z))))))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(z)))
| ( s(s(z)) = s(z) )
| ( s(s(s(s(s(z))))) = s(z) )
| ( s(s(s(s(s(z))))) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_204775]) ).
tcf(c_205682,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184773]) ).
tcf(c_205688,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_205682]) ).
tcf(c_206302,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X1)))
| ~ r(s(z),s(s(X1)))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_188021]) ).
tcf(c_206303,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_206302]) ).
tcf(c_206593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132318]) ).
tcf(c_207169,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_133571]) ).
tcf(c_207170,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_207169]) ).
tcf(c_207195,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_186368]) ).
tcf(c_207201,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_207195]) ).
tcf(c_207407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_140579]) ).
tcf(c_207417,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(X1))
| ~ 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_137496]) ).
tcf(c_207424,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207417]) ).
tcf(c_207489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_144476]) ).
tcf(c_207495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X2),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_139941]) ).
tcf(c_207547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_174643]) ).
tcf(c_207563,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_132332]) ).
tcf(c_207616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_182002]) ).
tcf(c_208110,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_148068]) ).
tcf(c_208111,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_208110]) ).
tcf(c_209012,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_133655]) ).
tcf(c_209013,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(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_209012]) ).
tcf(c_209277,plain,
! [X0: $i] :
( r(z,s(s(s(z))))
| r(z,s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(s(z))) = z )
| ( s(s(s(s(s(X0))))) = z )
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138267]) ).
tcf(c_209278,plain,
( r(z,s(s(s(z))))
| r(z,s(s(s(s(s(z))))))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(s(z))) = z )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_209277]) ).
tcf(c_209631,plain,
! [X0: $i] :
( r(s(s(s(z))),z)
| r(z,s(s(s(s(X0)))))
| r(s(s(s(s(X0)))),z)
| r(s(s(s(z))),s(s(s(s(X0)))))
| ( z = s(s(s(z))) )
| ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(X0)))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_140820]) ).
tcf(c_210002,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_142649]) ).
tcf(c_210003,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_210002]) ).
tcf(c_210180,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_143799]) ).
tcf(c_210994,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_155830]) ).
tcf(c_210995,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_210994]) ).
tcf(c_211067,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_170652]) ).
tcf(c_213897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(z,s(s(X0)))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_132076]) ).
tcf(c_214527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(z),X1)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_133904]) ).
tcf(c_214528,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z) ),
inference(instantiation,[status(thm)],[c_214527]) ).
tcf(c_218806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_155544]) ).
tcf(c_219525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X2)))),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_179953]) ).
tcf(c_219526,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_219525]) ).
tcf(c_219960,plain,
! [X0: $i] :
( r(s(s(s(z))),s(s(z)))
| r(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138268]) ).
tcf(c_219962,plain,
( r(s(s(s(z))),s(s(z)))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_219960]) ).
tcf(c_220690,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185201]) ).
tcf(c_220692,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_220690]) ).
tcf(c_222951,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(s(X0))))
| r(s(s(s(X0))),z)
| r(s(s(s(s(s(X1))))),z)
| r(s(s(s(s(s(X1))))),s(s(s(X0))))
| ( z = s(s(s(X0))) )
| ( z = s(s(s(s(s(X1))))) )
| ( s(s(s(X0))) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_140793]) ).
tcf(c_222952,plain,
( r(z,s(s(s(z))))
| r(s(s(s(z))),z)
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( z = s(s(s(z))) )
| ( z = s(s(s(s(s(z))))) )
| ( s(s(s(z))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_222951]) ).
tcf(c_223484,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_142649]) ).
tcf(c_223569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),X1)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_195304]) ).
tcf(c_223570,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_223569]) ).
tcf(c_225390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_200409]) ).
tcf(c_225391,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_225390]) ).
tcf(c_226081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164444]) ).
tcf(c_226084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(X2)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_164286]) ).
tcf(c_226101,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_148861]) ).
tcf(c_226102,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(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_148556]) ).
tcf(c_226103,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_226102]) ).
tcf(c_226104,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_226101]) ).
tcf(c_226106,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_226084]) ).
tcf(c_226107,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))))
| ~ 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_226081]) ).
tcf(c_226114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(s(s(s(s(z)))),X2)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_196864]) ).
tcf(c_226117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(z)))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_196570]) ).
tcf(c_226119,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(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_226117]) ).
tcf(c_226120,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_226114]) ).
tcf(c_226202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_174773]) ).
tcf(c_226204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_171981]) ).
tcf(c_226209,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_226204]) ).
tcf(c_226213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_137615]) ).
tcf(c_226588,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_131489]) ).
tcf(c_226595,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_139948]) ).
tcf(c_226600,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_157279]) ).
tcf(c_226605,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ 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_174187]) ).
tcf(c_226616,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155404]) ).
tcf(c_226621,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_154481]) ).
tcf(c_226623,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_226616]) ).
tcf(c_227477,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(X0)),s(s(X1)))
| ~ r(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_136249]) ).
tcf(c_227960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184051]) ).
tcf(c_227977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182865]) ).
tcf(c_227988,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184154]) ).
tcf(c_227995,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182674]) ).
tcf(c_227996,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_182666]) ).
tcf(c_228005,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179615]) ).
tcf(c_228014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_175082]) ).
tcf(c_228018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_174489]) ).
tcf(c_228019,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_175065]) ).
tcf(c_228036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_155846]) ).
tcf(c_228047,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_228036]) ).
tcf(c_228050,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_228019]) ).
tcf(c_228051,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_228018]) ).
tcf(c_228052,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_228014]) ).
tcf(c_228057,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227996]) ).
tcf(c_228058,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227995]) ).
tcf(c_228060,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227988]) ).
tcf(c_228065,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227977]) ).
tcf(c_228068,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227960]) ).
tcf(c_228090,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_134423]) ).
tcf(c_228098,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130713]) ).
tcf(c_228323,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_130676]) ).
tcf(c_228324,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_228323]) ).
tcf(c_229552,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131390]) ).
tcf(c_231032,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_174772]) ).
tcf(c_231846,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_189219]) ).
tcf(c_231849,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_231846]) ).
tcf(c_231941,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_226600]) ).
tcf(c_231942,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_231941]) ).
tcf(c_232997,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155507]) ).
tcf(c_232998,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_232997]) ).
tcf(c_233923,plain,
! [X0: $i,X1: $i] :
( r(z,s(X0))
| r(s(X0),z)
| r(s(s(s(s(s(X1))))),z)
| r(s(s(s(s(s(X1))))),s(X0))
| ( z = s(s(s(s(s(X1))))) )
| ( s(X0) = z )
| ( s(X0) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_130717]) ).
tcf(c_233924,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),s(z))
| ( z = s(s(s(s(s(z))))) )
| ( s(z) = z )
| ( s(z) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_233923]) ).
tcf(c_234139,plain,
! [X0: $i] :
( r(z,s(X0))
| r(s(X0),z)
| r(s(s(z)),z)
| r(s(s(z)),s(X0))
| ( z = s(s(z)) )
| ( s(X0) = z )
| ( s(X0) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_130717]) ).
tcf(c_234140,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(s(z)),s(z))
| ( z = s(s(z)) )
| ( s(z) = z )
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_234139]) ).
tcf(c_234485,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_226595]) ).
tcf(c_234486,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_234485]) ).
tcf(c_234493,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_226605]) ).
tcf(c_234494,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_234493]) ).
tcf(c_234501,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_226616]) ).
tcf(c_234502,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_234501]) ).
tcf(c_234610,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(s(z),X1)
| r(s(s(X0)),X1)
| r(s(s(X0)),s(z))
| ( X1 = s(s(X0)) )
| ( s(z) = X1 )
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_130791]) ).
tcf(c_234868,plain,
! [X0: $i,X1: $i] :
( r(z,s(X0))
| r(s(X0),z)
| r(s(s(s(s(s(X1))))),z)
| r(s(s(s(s(s(X1))))),s(X0))
| ( z = s(X0) )
| ( z = s(s(s(s(s(X1))))) )
| ( s(X0) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_130794]) ).
tcf(c_234869,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),s(z))
| ( z = s(z) )
| ( z = s(s(s(s(s(z))))) )
| ( s(z) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_234868]) ).
tcf(c_234880,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(s(z),X1)
| r(s(s(X0)),X1)
| r(s(s(X0)),s(z))
| ( X1 = s(z) )
| ( X1 = s(s(X0)) )
| ( s(z) = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_130798]) ).
tcf(c_234881,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(s(z)),s(z))
| ( z = s(z) )
| ( z = s(s(z)) )
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_234880]) ).
tcf(c_235052,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(s(s(X0))))))
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(s(z)) )
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_138266]) ).
tcf(c_235053,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(z))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(s(z)) )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_235052]) ).
tcf(c_235455,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_142713]) ).
tcf(c_235456,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_235455]) ).
tcf(c_235965,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_155467]) ).
tcf(c_235966,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),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_235965]) ).
tcf(c_237103,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_181066]) ).
tcf(c_237104,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_237103]) ).
tcf(c_237399,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))))))
| r(s(s(s(s(s(X0))))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(s(s(X0))))) = z ) ),
inference(instantiation,[status(thm)],[c_147905]) ).
tcf(c_237401,plain,
( r(z,s(s(z)))
| r(z,s(s(s(s(s(z))))))
| r(s(s(z)),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(z)))
| ( s(s(z)) = z )
| ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(s(s(z))))) = z ) ),
inference(instantiation,[status(thm)],[c_237399]) ).
tcf(c_237501,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185155]) ).
tcf(c_237584,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_187900]) ).
tcf(c_237585,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_237584]) ).
tcf(c_237599,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_187906]) ).
tcf(c_237600,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_237599]) ).
tcf(c_237756,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_189837]) ).
tcf(c_237757,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_237756]) ).
tcf(c_237770,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_190361]) ).
tcf(c_237771,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_237770]) ).
tcf(c_237805,plain,
! [X0: $i,X1: $i] :
( r(z,s(s(X0)))
| r(s(s(X0)),z)
| r(s(s(s(s(s(X1))))),z)
| r(s(s(s(s(s(X1))))),s(s(X0)))
| ( z = s(s(X0)) )
| ( z = s(s(s(s(s(X1))))) )
| ( s(s(X0)) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_131310]) ).
tcf(c_237807,plain,
( r(z,s(s(z)))
| r(s(s(z)),z)
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(s(s(z))))),s(s(z)))
| ( z = s(s(z)) )
| ( z = s(s(s(s(s(z))))) )
| ( s(s(z)) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_237805]) ).
tcf(c_237815,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_190431]) ).
tcf(c_239274,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_207563]) ).
tcf(c_239275,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_239274]) ).
tcf(c_239660,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_210180]) ).
tcf(c_239661,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_239660]) ).
tcf(c_239689,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_211067]) ).
tcf(c_239690,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_239689]) ).
tcf(c_240734,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_227477]) ).
tcf(c_240735,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_240734]) ).
tcf(c_240736,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_227477]) ).
tcf(c_240737,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_240736]) ).
tcf(c_241799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_144660]) ).
tcf(c_241800,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_241799]) ).
tcf(c_242380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155546]) ).
tcf(c_242381,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(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_242380]) ).
tcf(c_242402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_155852]) ).
tcf(c_242403,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_242402]) ).
tcf(c_242523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_169739]) ).
tcf(c_242524,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_242523]) ).
tcf(c_244906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(z),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(s(X2))))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_226202]) ).
tcf(c_244907,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_244906]) ).
tcf(c_245828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X2)),z)
| ~ r(s(X0),s(s(X2)))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_142061]) ).
tcf(c_245829,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_245828]) ).
tcf(c_245956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_144654]) ).
tcf(c_245957,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_245956]) ).
tcf(c_245967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_144676]) ).
tcf(c_245968,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_245967]) ).
tcf(c_246386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_153311]) ).
tcf(c_246387,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_246386]) ).
tcf(c_246512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155406]) ).
tcf(c_246513,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_246512]) ).
tcf(c_246823,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_158790]) ).
tcf(c_246824,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_246823]) ).
tcf(c_247143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_173869]) ).
tcf(c_247144,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_247143]) ).
tcf(c_247149,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X2)))
| ~ r(s(s(X2)),s(X0))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_213897]) ).
tcf(c_247150,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_247149]) ).
tcf(c_249124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_189836]) ).
tcf(c_249125,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_249124]) ).
tcf(c_249193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_195291]) ).
tcf(c_249194,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_249193]) ).
tcf(c_249301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(X2)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_195900]) ).
tcf(c_249302,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_249301]) ).
tcf(c_249407,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_197007]) ).
tcf(c_249408,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_249407]) ).
tcf(c_250400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207489]) ).
tcf(c_250401,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_250400]) ).
tcf(c_250406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207495]) ).
tcf(c_250407,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_250406]) ).
tcf(c_250665,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207407]) ).
tcf(c_250669,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_182341]) ).
tcf(c_251056,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_228098]) ).
tcf(c_251057,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_251056]) ).
tcf(c_251217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185146]) ).
tcf(c_251224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_155406]) ).
tcf(c_251231,plain,
( ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_251224]) ).
tcf(c_251232,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_251217]) ).
tcf(c_251240,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_190361]) ).
tcf(c_251485,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(X0)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_134244]) ).
tcf(c_251947,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( z != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_130649]) ).
tcf(c_251948,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_251947]) ).
tcf(c_252935,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_226588]) ).
tcf(c_254259,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_228090]) ).
tcf(c_258078,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(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_223484]) ).
tcf(c_258079,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_258078]) ).
tcf(c_258782,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_229552]) ).
tcf(c_258783,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_258782]) ).
tcf(c_261844,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_231032]) ).
tcf(c_261845,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))))) ),
inference(instantiation,[status(thm)],[c_261844]) ).
tcf(c_262721,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_251485]) ).
tcf(c_263035,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X2),z)
| r(s(s(X1)),z)
| r(s(X1),s(s(X1)))
| ( s(s(X1)) = X0 )
| ~ b(s(X1),z)
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_146155,c_5846]) ).
tcf(c_263044,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),z)
| r(s(z),s(s(z)))
| ( s(s(z)) = z )
| ~ b(s(z),z)
| ( z != z ) ),
inference(instantiation,[status(thm)],[c_263035]) ).
tcf(c_264306,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_187996]) ).
tcf(c_264307,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_264306]) ).
tcf(c_264322,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_138321]) ).
tcf(c_264323,plain,
! [X0: $i] :
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(z)))
| r(s(s(s(s(s(X0))))),s(s(s(z))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(s(z))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_138320]) ).
tcf(c_264327,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(z)) = s(s(s(z))) )
| ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(z))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_264323]) ).
tcf(c_264328,plain,
( r(s(s(z)),s(s(s(z))))
| r(s(s(s(z))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(z)))
| r(s(s(s(s(s(z))))),s(s(s(z))))
| ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(z))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_264322]) ).
tcf(c_264650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155396]) ).
tcf(c_264652,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_187920]) ).
tcf(c_264675,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(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155417]) ).
tcf(c_264679,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_148881]) ).
tcf(c_264680,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_264679]) ).
tcf(c_264687,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),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_264652]) ).
tcf(c_264689,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_264650]) ).
tcf(c_265563,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_179951]) ).
tcf(c_265968,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(s(z),X1)
| r(s(s(s(X0))),X1)
| r(s(s(s(X0))),s(z))
| ( X1 = s(s(s(X0))) )
| ( s(z) = X1 )
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_234610]) ).
tcf(c_265969,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(z))),z)
| r(s(s(s(z))),s(z))
| ( z = s(s(s(z))) )
| ( s(z) = z )
| ( s(z) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_265968]) ).
tcf(c_266339,plain,
! [X0: $i,X1: $i] :
( r(X1,s(z))
| r(s(z),X1)
| r(s(s(s(X0))),X1)
| r(s(s(s(X0))),s(z))
| ( X1 = s(z) )
| ( X1 = s(s(s(X0))) )
| ( s(z) = s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_234880]) ).
tcf(c_266340,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(s(z))),z)
| r(s(s(s(z))),s(z))
| ( z = s(z) )
| ( z = s(s(s(z))) )
| ( s(z) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_266339]) ).
tcf(c_266568,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_157986]) ).
tcf(c_266569,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_266568]) ).
tcf(c_266968,plain,
! [X0: $i] :
( ~ 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)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184699]) ).
tcf(c_266969,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)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_266968]) ).
tcf(c_269070,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_254259]) ).
tcf(c_269076,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_269070]) ).
tcf(c_269122,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_172026]) ).
tcf(c_269135,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_141297]) ).
tcf(c_269147,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_269135]) ).
tcf(c_269148,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_269122]) ).
tcf(c_269326,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_237501]) ).
tcf(c_269327,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_269326]) ).
tcf(c_269428,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_237770]) ).
tcf(c_269429,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_269428]) ).
tcf(c_269449,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_237815]) ).
tcf(c_269450,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_269449]) ).
tcf(c_270489,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_250669]) ).
tcf(c_270490,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_270489]) ).
tcf(c_270558,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_251240]) ).
tcf(c_270559,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_270558]) ).
tcf(c_270652,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_252935]) ).
tcf(c_270653,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_270652]) ).
tcf(c_273092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_226202]) ).
tcf(c_273093,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_273092]) ).
tcf(c_273736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_141419]) ).
tcf(c_273737,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_273736]) ).
tcf(c_275177,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X2)),X1)
| ~ r(s(z),s(s(X2)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_132713]) ).
tcf(c_275178,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_275177]) ).
tcf(c_275430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136429]) ).
tcf(c_275431,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_275430]) ).
tcf(c_275497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_139185]) ).
tcf(c_275498,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))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_275497]) ).
tcf(c_275839,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(z,s(X1))
| r(s(X1),z)
| r(s(s(X1)),s(X1))
| ( s(s(X1)) = X0 )
| ~ b(s(s(X1)),z)
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_153675,c_70743]) ).
tcf(c_275844,plain,
( r(z,s(z))
| r(s(z),z)
| r(s(s(z)),s(z))
| ( s(s(z)) = z )
| ~ b(s(s(z)),z)
| ( z != z ) ),
inference(instantiation,[status(thm)],[c_275839]) ).
tcf(c_275924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_153264]) ).
tcf(c_275925,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(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_275924]) ).
tcf(c_275997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(s(X0)))),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_155556]) ).
tcf(c_275998,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(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_275997]) ).
tcf(c_276116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X2))),s(X0))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_157806]) ).
tcf(c_276117,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_276116]) ).
tcf(c_276663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ 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_180371]) ).
tcf(c_276664,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_276663]) ).
tcf(c_277081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185141]) ).
tcf(c_277082,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_277081]) ).
tcf(c_277526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(X2)))
| ~ r(X1,s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(z))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_186357]) ).
tcf(c_277527,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_277526]) ).
tcf(c_277613,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_186358]) ).
tcf(c_279626,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_172026]) ).
tcf(c_279638,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_279626]) ).
tcf(c_279700,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ 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_226621]) ).
tcf(c_279701,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_279700]) ).
tcf(c_280629,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132515]) ).
tcf(c_280632,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_280629]) ).
tcf(c_280877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_198199]) ).
tcf(c_280878,plain,
( ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_280877]) ).
tcf(c_286463,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_187912]) ).
tcf(c_286464,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_286463]) ).
tcf(c_286906,plain,
! [X0: $i] :
( r(s(s(s(z))),z)
| r(z,s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),z)
| r(s(s(s(z))),s(s(s(s(s(X0))))))
| ( z = s(s(s(z))) )
| ( s(s(s(s(s(X0))))) = z )
| ( s(s(s(s(s(X0))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_209631]) ).
tcf(c_286909,plain,
( r(s(s(s(z))),z)
| r(z,s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),z)
| r(s(s(s(z))),s(s(s(s(s(z))))))
| ( z = s(s(s(z))) )
| ( s(s(s(s(s(z))))) = z )
| ( s(s(s(s(s(z))))) = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_286906]) ).
tcf(c_288072,plain,
! [X0: $i] :
( ~ 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(s(X0)))),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_250665]) ).
tcf(c_293489,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_206593]) ).
tcf(c_293490,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_293489]) ).
tcf(c_293797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_207547]) ).
tcf(c_293798,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_293797]) ).
tcf(c_293835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207616]) ).
tcf(c_293836,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_293835]) ).
tcf(c_294563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),s(z))
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_218806]) ).
tcf(c_294564,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_294563]) ).
tcf(c_294710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X3)))))
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132666]) ).
tcf(c_294711,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_294710]) ).
tcf(c_295655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_226213]) ).
tcf(c_295656,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_295655]) ).
tcf(c_299965,plain,
! [X0: $i] :
( ~ 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(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_288072]) ).
tcf(c_299966,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(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_299965]) ).
tcf(c_300480,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(z))),X1)
| ~ 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_262721]) ).
tcf(c_300481,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_300480]) ).
tcf(c_300901,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_265563]) ).
tcf(c_300902,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_300901]) ).
tcf(c_302162,plain,
! [X0: $i] :
( ~ 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)))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_277613]) ).
tcf(c_302169,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_302162]) ).
tcf(c_307506,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_179951]) ).
tcf(c_307507,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_307506]) ).
tcf(c_309459,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_264675]) ).
tcf(c_309460,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_309459]) ).
tcf(c_311093,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_151732]) ).
tcf(c_311094,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),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_311093]) ).
tcf(c_311181,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(X1)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_170646]) ).
tcf(c_311182,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_311181]) ).
tcf(c_312763,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_184772]) ).
tcf(c_312764,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_312763]) ).
tcf(c_312785,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_185194]) ).
tcf(c_312786,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_312785]) ).
tcf(c_313479,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_228005]) ).
tcf(c_313480,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_313479]) ).
tcf(c_313530,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_313480,c_312786,c_312764,c_311182,c_311094,c_309460,c_307507,c_302169,c_300902,c_300481,c_299966,c_295656,c_294711,c_294564,c_293836,c_293798,c_293490,c_286909,c_286464,c_280878,c_280632,c_279701,c_279638,c_277527,c_277082,c_276664,c_276117,c_275998,c_275925,c_275844,c_275498,c_275431,c_275178,c_273737,c_273093,c_270653,c_270559,c_270490,c_269450,c_269429,c_269327,c_269148,c_269147,c_269076,c_266969,c_266569,c_266340,c_265969,c_264689,c_264687,c_264680,c_264328,c_264327,c_264307,c_263044,c_261845,c_258783,c_258079,c_251948,c_251232,c_251231,c_251057,c_250407,c_250401,c_249408,c_249302,c_249194,c_249125,c_247150,c_247144,c_246824,c_246513,c_246387,c_245968,c_245957,c_245829,c_244907,c_242524,c_242403,c_242381,c_241800,c_240737,c_240735,c_239690,c_239661,c_239275,c_237807,c_237771,c_237757,c_237600,c_237585,c_237401,c_237104,c_235966,c_235456,c_235053,c_234881,c_234869,c_234502,c_234494,c_234486,c_234140,c_233924,c_232998,c_231942,c_231849,c_228324,c_228068,c_228065,c_228060,c_228058,c_228057,c_228052,c_228051,c_228050,c_228047,c_226623,c_226209,c_226120,c_226119,c_226107,c_226106,c_226104,c_226103,c_225391,c_223570,c_222952,c_220692,c_219962,c_219526,c_214528,c_210995,c_210003,c_209278,c_209013,c_208111,c_207424,c_207201,c_207170,c_206303,c_205688,c_204797,c_204795,c_204793,c_204791,c_204789,c_204770,c_199727,c_199199,c_198396,c_195901,c_189490,c_189220,c_188052,c_188046,c_188045,c_188044,c_188043,c_188016,c_188014,c_188005,c_187893,c_186394,c_186382,c_186375,c_186374,c_186371,c_186370,c_186342,c_186322,c_186321,c_186320,c_186319,c_186318,c_186317,c_186267,c_185220,c_185179,c_184779,c_184778,c_184777,c_184776,c_184713,c_184703,c_184646,c_184645,c_182790,c_182693,c_182158,c_179664,c_179139,c_179122,c_179115,c_178252,c_178246,c_178240,c_178244,c_178149,c_178148,c_178147,c_178146,c_178145,c_178143,c_178141,c_177536,c_173710,c_172080,c_170647,c_170434,c_170349,c_170333,c_169825,c_169800,c_169740,c_155567,c_155558,c_155536,c_155502,c_155497,c_155485,c_155422,c_155421,c_155398,c_150893,c_148346,c_148345,c_147951,c_147950,c_147942,c_147929,c_147912,c_147910,c_147909,c_147908,c_146218,c_143612,c_142060,c_141637,c_141636,c_141372,c_141371,c_141334,c_141333,c_141011,c_141009,c_140790,c_140788,c_140724,c_140192,c_138325,c_138324,c_138275,c_138274,c_138272,c_136451,c_136238,c_134000,c_133043,c_133038,c_133030,c_133029,c_132878,c_132854,c_132848,c_132824,c_132742,c_132726,c_132646,c_132516,c_131692,c_131313,c_131307,c_130645,c_130606,c_128577,c_127986,c_127678,c_127107,c_127091,c_126853,c_126835,c_126655,c_126617,c_126164,c_125885,c_125712,c_125687,c_125661,c_125645,c_125399,c_124843,c_124804,c_124803,c_124194,c_122509,c_122091,c_122077,c_122072,c_122071,c_122070,c_120056,c_120055,c_119445,c_118369,c_118165,c_117533,c_117532,c_116386,c_116383,c_116382,c_116378,c_115351,c_115350,c_113695,c_113694,c_113330,c_113329,c_111911,c_111217,c_110319,c_110311,c_109744,c_109690,c_109482,c_109481,c_109081,c_108918,c_108745,c_108720,c_108719,c_108536,c_108144,c_108143,c_107628,c_107625,c_107147,c_107048,c_106804,c_106793,c_106791,c_106789,c_106737,c_106733,c_106509,c_106342,c_105889,c_105801,c_102961,c_102816,c_102807,c_102716,c_102702,c_102292,c_99946,c_98907,c_98344,c_98343,c_98298,c_97560,c_97067,c_97059,c_97057,c_97036,c_97035,c_97033,c_97032,c_97022,c_97031,c_97030,c_97029,c_96684,c_96678,c_96428,c_96425,c_96424,c_96423,c_96420,c_96419,c_96418,c_96416,c_96374,c_96352,c_95970,c_95964,c_95921,c_95877,c_94668,c_94310,c_93964,c_93147,c_93106,c_92844,c_92843,c_92836,c_92829,c_92815,c_92813,c_92812,c_91550,c_91527,c_91297,c_91209,c_91171,c_91152,c_91108,c_90856,c_90836,c_90824,c_90812,c_90750,c_90682,c_90609,c_90559,c_90558,c_88020,c_86924,c_86746,c_85715,c_85671,c_84699,c_83249,c_82965,c_80656,c_80551,c_80328,c_80278,c_79674,c_77910,c_77804,c_77685,c_77684,c_77683,c_77681,c_77680,c_77679,c_77678,c_77677,c_76638,c_76177,c_76155,c_76144,c_76141,c_76119,c_75789,c_75124,c_74971,c_74963,c_74962,c_74712,c_73876,c_73808,c_73793,c_73695,c_73694,c_73689,c_73683,c_73682,c_73608,c_73573,c_73570,c_73569,c_73566,c_73516,c_73512,c_73340,c_73256,c_73255,c_72885,c_72882,c_71660,c_71628,c_71514,c_70661,c_70582,c_70486,c_70120,c_69881,c_69802,c_68626,c_68397,c_67691,c_67688,c_67687,c_67538,c_67535,c_67529,c_67519,c_67512,c_67509,c_67013,c_65729,c_65469,c_65467,c_65453,c_65435,c_65048,c_65004,c_64146,c_63881,c_63542,c_63515,c_63514,c_62894,c_62843,c_62667,c_62666,c_62582,c_62495,c_62369,c_62298,c_60839,c_60482,c_60408,c_59367,c_59143,c_58905,c_58829,c_58296,c_58294,c_58271,c_58269,c_58086,c_58083,c_57358,c_57287,c_57230,c_57170,c_57058,c_56893,c_56869,c_56092,c_55750,c_54236,c_53962,c_53556,c_53550,c_53542,c_53541,c_53523,c_53522,c_53521,c_53520,c_53519,c_53518,c_53515,c_53514,c_53513,c_53512,c_53272,c_53264,c_53241,c_53240,c_53239,c_53236,c_53235,c_53234,c_52366,c_51641,c_51207,c_50850,c_49301,c_47702,c_46939,c_46504,c_46501,c_46442,c_46428,c_46427,c_46426,c_46416,c_46400,c_46399,c_46365,c_46364,c_46363,c_46287,c_45798,c_45762,c_45567,c_45561,c_45560,c_45559,c_45552,c_45540,c_45539,c_45513,c_45352,c_45333,c_45303,c_45302,c_45292,c_45291,c_45290,c_44868,c_44843,c_44225,c_41508,c_41507,c_41389,c_40304,c_39574,c_39146,c_39115,c_39113,c_39096,c_39087,c_39030,c_39029,c_38856,c_38855,c_38554,c_38476,c_38454,c_37710,c_36855,c_36543,c_36065,c_35308,c_34944,c_34585,c_33221,c_31954,c_31890,c_31809,c_31771,c_31752,c_31313,c_31189,c_31185,c_31175,c_30944,c_30672,c_30587,c_30577,c_30505,c_30501,c_30499,c_30216,c_30191,c_30187,c_30180,c_30172,c_30158,c_30142,c_30132,c_30100,c_30095,c_30075,c_30030,c_30014,c_30007,c_29981,c_29965,c_29935,c_29925,c_29897,c_29616,c_29605,c_28554,c_28550,c_28548,c_28537,c_28533,c_28531,c_28519,c_28511,c_28156,c_28028,c_28017,c_28014,c_28010,c_27961,c_27960,c_27937,c_27936,c_27771,c_27466,c_27344,c_27301,c_27297,c_27270,c_27166,c_27108,c_27093,c_27078,c_27035,c_27033,c_26949,c_26947,c_26614,c_26464,c_26460,c_26437,c_26406,c_26337,c_25722,c_25720,c_25257,c_24883,c_24646,c_24642,c_24632,c_24530,c_24318,c_24316,c_23486,c_23380,c_23379,c_23378,c_22377,c_22376,c_22374,c_21719,c_21718,c_21653,c_21647,c_21644,c_21617,c_21271,c_21261,c_21142,c_21141,c_21140,c_21137,c_21135,c_19663,c_19661,c_18450,c_18405,c_18404,c_18008,c_16596,c_16038,c_16025,c_12565,c_12509,c_12459,c_12266,c_12263,c_12220,c_12215,c_11566,c_10858,c_10857,c_10856,c_10855,c_10854,c_10853,c_10852,c_10851,c_10850,c_10849,c_10848,c_10847,c_10846,c_10845,c_10844,c_10656,c_10649,c_10648,c_10647,c_10646,c_10645,c_10644,c_10643,c_10642,c_10641,c_10640,c_10639,c_10638,c_10637,c_10636,c_10635,c_10021,c_9914,c_9664,c_9545,c_9543,c_9517,c_9515,c_9383,c_9330,c_9261,c_9234,c_9232,c_9146,c_9144,c_9077,c_8999,c_8960,c_8958,c_8911,c_8823,c_8434,c_8292,c_8138,c_8128,c_8075,c_8055,c_7495,c_7492,c_7479,c_7287,c_7273,c_6908,c_6885,c_6859,c_6856,c_6785,c_6677,c_6441,c_6326,c_6303,c_6226,c_6194,c_6180,c_6164,c_6021,c_6019,c_6020,c_6005,c_5893,c_5874,c_5707,c_5530,c_5498,c_4980,c_4781,c_4488,c_4485,c_4459,c_4155,c_4154,c_4144,c_4102,c_4099,c_4090,c_4079,c_3477,c_3456,c_3445,c_2941,c_2934,c_2929,c_2927,c_2671,c_2669,c_2668,c_2667,c_2666,c_2665,c_2664,c_2663,c_2662,c_2610,c_2609,c_2601,c_2600,c_2599,c_2598,c_2597,c_2596,c_2595,c_2571,c_2570,c_1631,c_1619,c_1241,c_1240,c_1234,c_1207,c_935,c_934,c_598,c_557,c_547,c_468,c_465,c_387,c_255,c_216,c_170,c_167,c_150,c_144,c_108,c_100,c_99,c_93,c_81,c_79,c_78,c_66,c_65,c_56,c_64,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA155-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 13:03:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 160.00/22.51 % SZS status Started for theBenchmark.p
% 160.00/22.51 % SZS status Unsatisfiable for theBenchmark.p
% 160.00/22.51
% 160.00/22.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 160.00/22.51
% 160.00/22.51 % ------ iProver source info
% 160.00/22.51
% 160.00/22.51 % git: date: 2026-07-19 20:42:38 +0200
% 160.00/22.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 160.00/22.51 % git: non_committed_changes: false
% 160.00/22.51
% 160.00/22.51 % ------ Parsing...% successful
% 160.00/22.51
% 160.00/22.51
% 160.00/22.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 160.00/22.51
% 160.00/22.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 160.00/22.51
% 160.00/22.51 % ------ Preprocessing...%
% 160.00/22.51
% 160.00/22.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 160.00/22.51 % ------ Proving...
% 160.00/22.51 % ------ Problem Properties
% 160.00/22.51
% 160.00/22.51 %
% 160.00/22.51 % clauses 7
% 160.00/22.51 % conjectures 0
% 160.00/22.51 % EPR 5
% 160.00/22.51 % Horn 6
% 160.00/22.51 % unary 3
% 160.00/22.51 % binary 1
% 160.00/22.51 % lits 19
% 160.00/22.51 % lits eq 4
% 160.00/22.51 % fd_pure 0
% 160.00/22.51 % fd_pseudo 0
% 160.00/22.51 % fd_cond 0
% 160.00/22.51 % fd_pseudo_cond 2
% 160.00/22.51 % AC symbols 0
% 160.00/22.51
% 160.00/22.51 % ------ Input Options Time Limit: Unbounded
% 160.00/22.51
% 160.00/22.51
% 160.00/22.51 % ------
% 160.00/22.51 % Current options:
% 160.00/22.51 % ------
% 160.00/22.51
% 160.00/22.51
% 160.00/22.51 %
% 160.00/22.51
% 160.00/22.51 % ------ Proving...
% 160.00/22.51 %
% 160.00/22.51
% 160.00/22.51 % SZS status Unsatisfiable for theBenchmark.p
% 160.00/22.51
% 160.00/22.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 160.00/22.57
% 160.00/22.57
%------------------------------------------------------------------------------