%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA131-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:23:54 PM UTC 2026
% Result : Unsatisfiable 64.82s 12.40s
% Output : CNFRefutation 64.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 1568 ( 33 unt; 0 def)
% Number of atoms : 7727 ( 328 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 13400 (7241 ~;6159 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 3884 ( 0 sgn3884 !; 0 ?;3868 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
fof(f3,axiom,
! [X0] : ~ r(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X1,X3)
| ~ r(X0,X3)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X0,X4)
| ~ b(X1,X3)
| ~ b(X0,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_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(X1,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X3)
| ~ b(X1,X4)
| ~ b(X1,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_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_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_90,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_91,plain,
( ( s(z) = z )
| ( s(s(z)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
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_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_163,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_164,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_166,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_225,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_226,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_228,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_229,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_284,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_286,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_369,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_370,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_372,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_373,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_381,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_383,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_381]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_421,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_422,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_421]) ).
tcf(c_463,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_225,c_57]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_529,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_530,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_529]) ).
tcf(c_548,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_549,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_419]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_692,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_472]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_472]) ).
tcf(c_724,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_725,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_612]) ).
tcf(c_764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(X0)) = X2 )
| ( X2 != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_819,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_821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_691]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_683]) ).
tcf(c_826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_685]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_685]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_685]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_615]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(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_697]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X1),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X0))
| ~ r(s(X3),s(s(X1)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_620]) ).
tcf(c_1200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_1230,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_765]) ).
tcf(c_1231,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1230]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(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_748]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_823]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_1342,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_851]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_851]) ).
tcf(c_1415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_827]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(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_1174]) ).
tcf(c_1429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_1431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1180]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1183]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1183]) ).
tcf(c_1472,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1342]) ).
tcf(c_1473,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1472]) ).
tcf(c_1474,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1342]) ).
tcf(c_1480,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1342]) ).
tcf(c_1481,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1480]) ).
tcf(c_1500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1200]) ).
tcf(c_1590,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_226,c_57]) ).
tcf(c_1803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1415]) ).
tcf(c_1830,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_819]) ).
tcf(c_1831,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_1830]) ).
tcf(c_1859,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_819]) ).
tcf(c_1860,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_1859]) ).
tcf(c_1877,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_819]) ).
tcf(c_1969,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_1972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1437]) ).
tcf(c_1995,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_1996,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(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1995]) ).
tcf(c_1997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1441]) ).
tcf(c_2179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_2180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_2216,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_463,c_56]) ).
tcf(c_2217,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_463,c_57]) ).
tcf(c_2219,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_463,c_129]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1500]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X3)))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_2288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_2291,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_2292,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1194]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ 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_1172]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_821]) ).
tcf(c_2304,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2299]) ).
tcf(c_2306,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2292]) ).
tcf(c_2307,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2288]) ).
tcf(c_2311,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2273]) ).
tcf(c_2314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1429]) ).
tcf(c_2315,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2314]) ).
tcf(c_2320,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(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1423]) ).
tcf(c_2332,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_2216,c_59]) ).
tcf(c_2333,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_2332]) ).
tcf(c_2364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(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_1426]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1371]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_2382,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1194]) ).
tcf(c_2389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_821]) ).
tcf(c_2394,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2389]) ).
tcf(c_2396,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2382]) ).
tcf(c_2401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1431]) ).
tcf(c_2402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1429]) ).
tcf(c_2794,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_2795,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_2794]) ).
tcf(c_2799,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_529]) ).
tcf(c_2800,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_2808,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_228]) ).
tcf(c_2809,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_2808]) ).
tcf(c_2816,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_548]) ).
tcf(c_2817,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2816]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2402]) ).
tcf(c_2885,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2884]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2402]) ).
tcf(c_3232,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_1877]) ).
tcf(c_3257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(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_2274]) ).
tcf(c_3300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2293]) ).
tcf(c_3345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2320]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(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_2364]) ).
tcf(c_3425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2401]) ).
tcf(c_3447,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_3448,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3447]) ).
tcf(c_3481,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_3482,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_3481]) ).
tcf(c_3492,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_3493,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3492]) ).
tcf(c_3507,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_99]) ).
tcf(c_3508,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3507]) ).
tcf(c_3538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_764]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3257]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1474]) ).
tcf(c_3754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3345]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3300]) ).
tcf(c_3887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(X3))))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3357]) ).
tcf(c_3920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X0)))
| ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3425]) ).
tcf(c_3981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_3984,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_3981]) ).
tcf(c_3990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1439]) ).
tcf(c_3991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ 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_1247]) ).
tcf(c_3994,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_3998,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1436]) ).
tcf(c_4016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2180]) ).
tcf(c_4017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X3),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2179]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(s(z),s(X2))
| ~ b(z,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1435]) ).
tcf(c_4325,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3711]) ).
tcf(c_4326,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4325]) ).
tcf(c_4331,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_3711]) ).
tcf(c_4336,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3711]) ).
tcf(c_4337,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4336]) ).
tcf(c_4360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(X1,s(z))
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_4363,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_4360]) ).
tcf(c_4370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(z))
| ~ b(s(z),X3)
| ~ 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_1247]) ).
tcf(c_4387,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(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3615]) ).
tcf(c_4402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1245]) ).
tcf(c_4403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_4404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_4433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1241]) ).
tcf(c_4435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_828]) ).
tcf(c_4441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1803]) ).
tcf(c_4451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1436]) ).
tcf(c_4556,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_381]) ).
tcf(c_4557,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_4556]) ).
tcf(c_4889,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3920]) ).
tcf(c_4949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3887]) ).
tcf(c_5051,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_3232]) ).
tcf(c_5052,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_5051]) ).
tcf(c_5070,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_3232]) ).
tcf(c_5071,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_5070]) ).
tcf(c_5215,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(s(X1))))
| r(s(s(s(s(X0)))),s(s(s(X1))))
| ( s(s(s(s(X0)))) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_3232]) ).
tcf(c_5311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_601]) ).
tcf(c_5317,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3994]) ).
tcf(c_5346,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3998]) ).
tcf(c_5690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),z)
| ~ b(X2,s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X3))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4404]) ).
tcf(c_5750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4036]) ).
tcf(c_5751,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_5750]) ).
tcf(c_5799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),X1)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_3990]) ).
tcf(c_5810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ 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_3991]) ).
tcf(c_5845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(s(z),X3)
| ~ b(s(z),X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4435]) ).
tcf(c_5867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4016]) ).
tcf(c_5945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4370]) ).
tcf(c_5946,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_5945]) ).
tcf(c_5965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_4403]) ).
tcf(c_5989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4402]) ).
tcf(c_6044,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_6045,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6044]) ).
tcf(c_6098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2886]) ).
tcf(c_6124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_615]) ).
tcf(c_6251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3425]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( ~ 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))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4889]) ).
tcf(c_6477,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6476]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_4387]) ).
tcf(c_6483,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(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3851]) ).
tcf(c_6491,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(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3754]) ).
tcf(c_6512,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6491]) ).
tcf(c_6513,plain,
( ~ r(s(s(z)),s(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_6483]) ).
tcf(c_6514,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6479]) ).
tcf(c_6643,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4949]) ).
tcf(c_6658,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3754]) ).
tcf(c_6679,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_6658]) ).
tcf(c_6778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5311]) ).
tcf(c_6779,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6778]) ).
tcf(c_7160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_4387]) ).
tcf(c_7268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1255]) ).
tcf(c_7274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_7401,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6098]) ).
tcf(c_7402,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7401]) ).
tcf(c_7422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_5799]) ).
tcf(c_7423,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_7422]) ).
tcf(c_7586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6124]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6251]) ).
tcf(c_7688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X0)),X3)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_5845]) ).
tcf(c_7689,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_7688]) ).
tcf(c_7712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_5690]) ).
tcf(c_7713,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_7712]) ).
tcf(c_7971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(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_5989]) ).
tcf(c_8125,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_1830]) ).
tcf(c_8126,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_8125]) ).
tcf(c_8131,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_1859]) ).
tcf(c_8132,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_8131]) ).
tcf(c_8192,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(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(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6643]) ).
tcf(c_8193,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8192]) ).
tcf(c_8274,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_2808]) ).
tcf(c_8275,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_8274]) ).
tcf(c_8369,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_5215]) ).
tcf(c_8539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7268]) ).
tcf(c_8680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_6778]) ).
tcf(c_8789,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ 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_7657]) ).
tcf(c_8790,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8789]) ).
tcf(c_9245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(z),s(s(s(X2))))
| ~ 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_5810]) ).
tcf(c_10031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7586]) ).
tcf(c_10954,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1472]) ).
tcf(c_10955,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_10954]) ).
tcf(c_11015,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_1480]) ).
tcf(c_11016,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_11015]) ).
tcf(c_11122,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_11331,plain,
! [X0: $i] :
( ( z = s(s(s(X0))) )
| ( s(z) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3492]) ).
tcf(c_11332,plain,
( ( z = s(s(s(z))) )
| ( s(z) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_11331]) ).
tcf(c_11740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_8539]) ).
tcf(c_11867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(s(X0)))) = X2 )
| ( X2 != s(s(X1)) )
| ( s(s(s(s(X0)))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_3538]) ).
tcf(c_11981,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_4331]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(s(z))),s(X3))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7971]) ).
tcf(c_12124,plain,
( ~ b(s(z),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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12115]) ).
tcf(c_12164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(X2))),z)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5867]) ).
tcf(c_12172,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_5317]) ).
tcf(c_12180,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12172]) ).
tcf(c_12182,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_12164]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),X2)
| ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),X2)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5965]) ).
tcf(c_12222,plain,
( ~ b(z,s(z))
| ~ 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_12221]) ).
tcf(c_12535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4441]) ).
tcf(c_12536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),z)
| ~ b(s(X0),X2)
| ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4433]) ).
tcf(c_12540,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12536]) ).
tcf(c_12541,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_12535]) ).
tcf(c_12568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_4451]) ).
tcf(c_12573,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_12568]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7971]) ).
tcf(c_12694,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12683]) ).
tcf(c_13079,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1969]) ).
tcf(c_13080,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_13079]) ).
tcf(c_13120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8680]) ).
tcf(c_13121,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_13120]) ).
tcf(c_14516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(X2)))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2364]) ).
tcf(c_14517,plain,
( ~ r(s(z),s(s(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_14516]) ).
tcf(c_15181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(z)))
| ~ b(X2,s(s(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_1972]) ).
tcf(c_15182,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(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15181]) ).
tcf(c_15404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1997]) ).
tcf(c_15405,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))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15404]) ).
tcf(c_15873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_9245]) ).
tcf(c_15874,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_15873]) ).
tcf(c_17401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10031]) ).
tcf(c_17410,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17401]) ).
tcf(c_17649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_7160]) ).
tcf(c_17651,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17649]) ).
tcf(c_17893,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_2799]) ).
tcf(c_17894,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_17893]) ).
tcf(c_18333,plain,
! [X0: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,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_5346]) ).
tcf(c_18338,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),X1)
| ~ b(z,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_4017]) ).
tcf(c_18340,plain,
( ~ b(z,s(z))
| ~ b(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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18338]) ).
tcf(c_18343,plain,
( ~ b(z,s(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(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_18333]) ).
tcf(c_18855,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_1590,c_56]) ).
tcf(c_19081,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_11981]) ).
tcf(c_19082,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_19081]) ).
tcf(c_19087,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_11981]) ).
tcf(c_19088,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_19087]) ).
tcf(c_19254,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_18855,c_59]) ).
tcf(c_19255,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_19254]) ).
tcf(c_19381,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_2816]) ).
tcf(c_19382,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_19381]) ).
tcf(c_21858,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_11867]) ).
tcf(c_21859,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_4556]) ).
tcf(c_21860,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_21858]) ).
tcf(c_21861,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_21859]) ).
tcf(c_22367,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_2794]) ).
tcf(c_22368,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_22367]) ).
tcf(c_28770,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_2217,c_56]) ).
tcf(c_29941,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_8369]) ).
tcf(c_29942,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_29941]) ).
tcf(c_29966,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_8369]) ).
tcf(c_29967,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_29966]) ).
tcf(c_30094,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_3481]) ).
tcf(c_30095,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_30094]) ).
tcf(c_30177,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_30178,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30177]) ).
tcf(c_30187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(X2)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_7274]) ).
tcf(c_30197,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30187]) ).
tcf(c_30246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_11740]) ).
tcf(c_30258,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30246]) ).
tcf(c_30291,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2291]) ).
tcf(c_30292,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30291]) ).
tcf(c_30300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2371]) ).
tcf(c_30302,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2381]) ).
tcf(c_30303,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30302]) ).
tcf(c_30304,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_30300]) ).
tcf(c_31271,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_31272,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_31273,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_31277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(X0),z)
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_31278,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_31279,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_31280,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_31273]) ).
tcf(c_31281,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_31282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0) = X2 )
| ( X2 != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_31287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_31298,plain,
! [X0: $i] :
( b(z,s(X0))
| r(z,s(X0))
| ( z = s(X0) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_31299,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_31302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(s(X0),X2)
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_31308,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( X1 != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_31282]) ).
tcf(c_31309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31277]) ).
tcf(c_31310,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_31278]) ).
tcf(c_31315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31321,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_31330,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_31310]) ).
tcf(c_31335,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(X1) != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_31308]) ).
tcf(c_31342,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_31309]) ).
tcf(c_31369,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_31281]) ).
tcf(c_31370,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_31342]) ).
tcf(c_31371,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_31272]) ).
tcf(c_31372,plain,
! [X0: $i,X1: $i] :
( b(s(s(X0)),X1)
| r(s(s(X0)),X1)
| ( s(s(X0)) = X1 ) ),
inference(instantiation,[status(thm)],[c_31278]) ).
tcf(c_31379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31309]) ).
tcf(c_31398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31302]) ).
tcf(c_31400,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31342]) ).
tcf(c_31401,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_31330]) ).
tcf(c_31402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31287]) ).
tcf(c_31408,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_31335]) ).
tcf(c_31435,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_31309]) ).
tcf(c_31438,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_31287]) ).
tcf(c_31439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(s(X1)),z)
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31315]) ).
tcf(c_31448,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),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_31400]) ).
tcf(c_31452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_31466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),X3)
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31302]) ).
tcf(c_31489,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_31279]) ).
tcf(c_31505,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_31408]) ).
tcf(c_31520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31396]) ).
tcf(c_31529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31398]) ).
tcf(c_31531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(z,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31379]) ).
tcf(c_31532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31379]) ).
tcf(c_31533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31379]) ).
tcf(c_31571,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_31489]) ).
tcf(c_31575,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_31489]) ).
tcf(c_31588,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31438]) ).
tcf(c_31684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31466]) ).
tcf(c_31696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_31520]) ).
tcf(c_31698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),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_31520]) ).
tcf(c_31702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_31529]) ).
tcf(c_31708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(X3,s(s(X2)))
| ~ b(X0,s(s(X2)))
| ~ b(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31439]) ).
tcf(c_31709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_31531]) ).
tcf(c_31711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ b(s(X1),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31440]) ).
tcf(c_31713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31440]) ).
tcf(c_31715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31452]) ).
tcf(c_31716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31452]) ).
tcf(c_31717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31452]) ).
tcf(c_31723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X2,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31533]) ).
tcf(c_31724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31533]) ).
tcf(c_31737,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_31505]) ).
tcf(c_31738,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_31401]) ).
tcf(c_31773,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_31401]) ).
tcf(c_31804,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31588]) ).
tcf(c_31845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31684]) ).
tcf(c_31873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(X2,s(s(X3)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31708]) ).
tcf(c_31889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X0))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31717]) ).
tcf(c_31890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31717]) ).
tcf(c_31891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31717]) ).
tcf(c_31936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_31947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31724]) ).
tcf(c_31948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31713]) ).
tcf(c_31967,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),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_31698]) ).
tcf(c_32007,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_31330]) ).
tcf(c_32022,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31804]) ).
tcf(c_32055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31698]) ).
tcf(c_32058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31402]) ).
tcf(c_32128,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_2219]) ).
tcf(c_32150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31702]) ).
tcf(c_32153,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31448]) ).
tcf(c_32278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31845]) ).
tcf(c_32280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31845]) ).
tcf(c_32288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X1))
| ~ b(z,s(s(X2)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31889]) ).
tcf(c_32369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_32378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),z)
| ~ 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_31711]) ).
tcf(c_32379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X4)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31723]) ).
tcf(c_32381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31724]) ).
tcf(c_32382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31713]) ).
tcf(c_32453,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_31773]) ).
tcf(c_32454,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),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_31967]) ).
tcf(c_32497,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_31298]) ).
tcf(c_32705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X0))),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_32150]) ).
tcf(c_32712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ 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_32278]) ).
tcf(c_32721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32280]) ).
tcf(c_32734,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(X1))))
| r(X0,s(s(s(X1))))
| ( X0 = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_31321]) ).
tcf(c_32761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_32771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(z))
| ~ b(s(z),X1)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_31936]) ).
tcf(c_32772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(s(s(X3)),X1)
| ~ b(s(z),s(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_31890]) ).
tcf(c_32774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_31302]) ).
tcf(c_32854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_32860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31709]) ).
tcf(c_32863,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(X4,s(s(s(X1))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31723]) ).
tcf(c_32868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31936]) ).
tcf(c_32870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(s(s(X3)),X2)
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X0),s(s(X3)))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31890]) ).
tcf(c_32887,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_31571]) ).
tcf(c_32916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_32919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_31302]) ).
tcf(c_32922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_31287]) ).
tcf(c_33044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32705]) ).
tcf(c_33045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(X1)))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32705]) ).
tcf(c_33054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32712]) ).
tcf(c_33072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32721]) ).
tcf(c_33110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_32369]) ).
tcf(c_33169,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_32887]) ).
tcf(c_33174,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_32887]) ).
tcf(c_33196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(z,s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32774]) ).
tcf(c_33233,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32776]) ).
tcf(c_33372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_32771]) ).
tcf(c_33374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X0,X3)
| ~ r(s(X2),X3)
| ~ r(s(X2),X0)
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32916]) ).
tcf(c_33384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(s(X2))))
| ~ r(X0,s(s(s(X2))))
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32916]) ).
tcf(c_33407,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33044]) ).
tcf(c_33448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_32919]) ).
tcf(c_33449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X2)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32919]) ).
tcf(c_33480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),s(s(X3)))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33045]) ).
tcf(c_33491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33054]) ).
tcf(c_33533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_32772]) ).
tcf(c_33536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32860]) ).
tcf(c_33544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(X2,s(X0))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32761]) ).
tcf(c_33553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32854]) ).
tcf(c_33574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X0))))
| ~ 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(X1)) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_33583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X0),s(s(s(X2))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32870]) ).
tcf(c_33587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33110]) ).
tcf(c_33590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X1))
| ~ b(X4,s(s(s(X2))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_33110]) ).
tcf(c_33608,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_32453]) ).
tcf(c_33625,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_32453]) ).
tcf(c_33639,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_31369]) ).
tcf(c_33686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33196]) ).
tcf(c_33856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X0),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33374]) ).
tcf(c_33866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X3))))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33374]) ).
tcf(c_33894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33372]) ).
tcf(c_33918,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33448]) ).
tcf(c_33932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33384]) ).
tcf(c_33949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33449]) ).
tcf(c_33950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33449]) ).
tcf(c_34013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(s(X0),s(z))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33533]) ).
tcf(c_34047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33544]) ).
tcf(c_34056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33553]) ).
tcf(c_34070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X3),s(X0))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X2))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33583]) ).
tcf(c_34079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X1))
| ~ b(X4,s(s(s(X2))))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X3),s(s(s(X2))))
| ~ 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_33574]) ).
tcf(c_34088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(X1))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_33590]) ).
tcf(c_34159,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(X1,s(z))
| ~ b(s(s(s(z))),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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31948]) ).
tcf(c_34160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(z))),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33587]) ).
tcf(c_34200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ 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_31891]) ).
tcf(c_34209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(X2))
| ~ 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_32382]) ).
tcf(c_34351,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33686]) ).
tcf(c_34352,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34351]) ).
tcf(c_34355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33686]) ).
tcf(c_34401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32381]) ).
tcf(c_34404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31948]) ).
tcf(c_34405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X2,s(X3))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33587]) ).
tcf(c_34470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(s(X4)),X2)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31891]) ).
tcf(c_34478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32381]) ).
tcf(c_34480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31947]) ).
tcf(c_34485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X4)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32379]) ).
tcf(c_34584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33894]) ).
tcf(c_34593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33918]) ).
tcf(c_34602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(s(z)),X2)
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33856]) ).
tcf(c_34605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33856]) ).
tcf(c_34614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(s(X2))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33866]) ).
tcf(c_34617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(X2,s(s(s(X3))))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33866]) ).
tcf(c_34663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),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_34013]) ).
tcf(c_34673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34047]) ).
tcf(c_34685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X1))))
| ~ 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_34056]) ).
tcf(c_34695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X3))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34070]) ).
tcf(c_34696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34070]) ).
tcf(c_34710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X4),s(s(s(X3))))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_34079]) ).
tcf(c_34719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34088]) ).
tcf(c_34720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34088]) ).
tcf(c_34746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34602]) ).
tcf(c_34775,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34614]) ).
tcf(c_34780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34614]) ).
tcf(c_34795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(z),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_34584]) ).
tcf(c_34800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34605]) ).
tcf(c_34810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34617]) ).
tcf(c_34855,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(X1))
| r(s(s(s(s(X0)))),s(X1))
| ( s(s(s(s(X0)))) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_32007]) ).
tcf(c_35109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34480]) ).
tcf(c_35211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(X2))),X1)
| ~ 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_34663]) ).
tcf(c_35234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34160]) ).
tcf(c_35258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34405]) ).
tcf(c_35266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34673]) ).
tcf(c_35349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X2))),s(X4))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34478]) ).
tcf(c_35358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X1))))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X2))),X4)
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_34485]) ).
tcf(c_35374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34685]) ).
tcf(c_35381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X3))),X2)
| ~ 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_34695]) ).
tcf(c_35391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34696]) ).
tcf(c_35396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34710]) ).
tcf(c_35397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34710]) ).
tcf(c_35409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(X1))
| ~ 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_34719]) ).
tcf(c_35411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(s(X4))))
| ~ b(s(s(s(X4))),s(X2))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34719]) ).
tcf(c_35418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X4))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34720]) ).
tcf(c_35471,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_31271]) ).
tcf(c_35472,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_35471]) ).
tcf(c_35502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34355]) ).
tcf(c_35503,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),z)
| ~ 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_32454]) ).
tcf(c_35504,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31435]) ).
tcf(c_35506,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35504]) ).
tcf(c_35520,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32058]) ).
tcf(c_35521,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_35520]) ).
tcf(c_35546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33072]) ).
tcf(c_35554,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32022]) ).
tcf(c_35559,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X1))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33686]) ).
tcf(c_35568,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),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_32153]) ).
tcf(c_35580,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34775]) ).
tcf(c_35671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),X3)
| ~ r(s(X1),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31398]) ).
tcf(c_35672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X1),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31396]) ).
tcf(c_35693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32058]) ).
tcf(c_35731,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_34855]) ).
tcf(c_35732,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_31737]) ).
tcf(c_35769,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(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_34746]) ).
tcf(c_35791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34810]) ).
tcf(c_35914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33686]) ).
tcf(c_36027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35234]) ).
tcf(c_36035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34800]) ).
tcf(c_36210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33932]) ).
tcf(c_36215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33491]) ).
tcf(c_36218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33480]) ).
tcf(c_36335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34780]) ).
tcf(c_36336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X2))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33932]) ).
tcf(c_36337,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36336]) ).
tcf(c_36339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34593]) ).
tcf(c_36342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33491]) ).
tcf(c_36354,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33407]) ).
tcf(c_36362,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36339]) ).
tcf(c_36499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33932]) ).
tcf(c_36513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),X2)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33233]) ).
tcf(c_37149,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_31738]) ).
tcf(c_37312,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_32497]) ).
tcf(c_37317,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),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(X0))))) ),
inference(instantiation,[status(thm)],[c_35580]) ).
tcf(c_37318,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37317]) ).
tcf(c_37464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31891]) ).
tcf(c_37465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31873]) ).
tcf(c_37466,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_37465]) ).
tcf(c_37480,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(X1,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31948]) ).
tcf(c_37481,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_37480]) ).
tcf(c_37487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32288]) ).
tcf(c_37488,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_37487]) ).
tcf(c_37490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(s(z)),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32870]) ).
tcf(c_37610,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),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_35568]) ).
tcf(c_37898,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(X1)))))
| r(X0,s(s(s(s(X1)))))
| ( X0 = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_32734]) ).
tcf(c_37966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ 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_36210]) ).
tcf(c_38061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35791]) ).
tcf(c_38582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(X0))))
| ~ r(X3,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36499]) ).
tcf(c_38633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X4)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31891]) ).
tcf(c_38634,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(X2,s(s(X1)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31873]) ).
tcf(c_38662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(X3,s(s(s(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_31890]) ).
tcf(c_39023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36215]) ).
tcf(c_39124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(X2))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36336]) ).
tcf(c_39127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X3))),s(s(s(X2))))
| ~ r(s(s(s(X3))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36336]) ).
tcf(c_39139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ 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_36342]) ).
tcf(c_39222,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),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_35672]) ).
tcf(c_39223,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39222]) ).
tcf(c_39224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35672]) ).
tcf(c_39238,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(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35693]) ).
tcf(c_39240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35693]) ).
tcf(c_39542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35671]) ).
tcf(c_39543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(s(X1))),X3)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35671]) ).
tcf(c_39839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36035]) ).
tcf(c_40528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31716]) ).
tcf(c_40533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31891]) ).
tcf(c_40548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33536]) ).
tcf(c_40549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32379]) ).
tcf(c_40554,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(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40548]) ).
tcf(c_40568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(X3)),X2)
| ~ b(s(s(X3)),X1)
| ~ b(s(s(z)),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31724]) ).
tcf(c_40569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),X1)
| ~ b(z,s(s(s(s(X0)))))
| ~ 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_31713]) ).
tcf(c_40575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32863]) ).
tcf(c_40581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35374]) ).
tcf(c_40587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(z)),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(X1)))) ),
inference(instantiation,[status(thm)],[c_35391]) ).
tcf(c_40588,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40587]) ).
tcf(c_40612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X3)
| ~ b(z,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33553]) ).
tcf(c_40874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37966]) ).
tcf(c_40896,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38582]) ).
tcf(c_40900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X2)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38582]) ).
tcf(c_41075,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),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(X0))))) ),
inference(instantiation,[status(thm)],[c_38061]) ).
tcf(c_41076,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_41075]) ).
tcf(c_41079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38061]) ).
tcf(c_41186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(X2))
| ~ 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_39139]) ).
tcf(c_41330,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_31371]) ).
tcf(c_41333,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32058]) ).
tcf(c_41359,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34047]) ).
tcf(c_41362,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(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34088]) ).
tcf(c_41387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34088]) ).
tcf(c_41521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ 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(z)) ),
inference(instantiation,[status(thm)],[c_32868]) ).
tcf(c_41526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X2)
| ~ b(X2,s(s(X0)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34047]) ).
tcf(c_41654,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_32128,c_57]) ).
tcf(c_41756,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(X0))),X1)
| r(s(s(s(X0))),X1)
| ( s(s(s(X0))) = X1 ) ),
inference(instantiation,[status(thm)],[c_31372]) ).
tcf(c_41868,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31435]) ).
tcf(c_41931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34710]) ).
tcf(c_41950,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31396]) ).
tcf(c_41951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31396]) ).
tcf(c_42206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31398]) ).
tcf(c_42352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X4)))
| ~ b(s(s(X4)),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31891]) ).
tcf(c_42426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33949]) ).
tcf(c_42427,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42426]) ).
tcf(c_42891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),s(X2))
| ~ 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(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39023]) ).
tcf(c_42933,plain,
! [X0: $i,X1: $i,X2: $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(X0)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39124]) ).
tcf(c_43143,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(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_33372]) ).
tcf(c_43164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34795]) ).
tcf(c_43165,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43164]) ).
tcf(c_43230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,z)
| ~ b(z,s(X1))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31715]) ).
tcf(c_43238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_31716]) ).
tcf(c_43260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36513]) ).
tcf(c_43262,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35559]) ).
tcf(c_43263,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_34351]) ).
tcf(c_43264,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43262]) ).
tcf(c_43269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35914]) ).
tcf(c_43475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(X2,s(s(s(s(X3)))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33866]) ).
tcf(c_43491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X2)))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33950]) ).
tcf(c_43532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_34605]) ).
tcf(c_43676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35211]) ).
tcf(c_43677,plain,
( ~ 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(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_43676]) ).
tcf(c_43796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X1)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38582]) ).
tcf(c_43857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(z))))
| ~ r(s(s(s(s(X1)))),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39127]) ).
tcf(c_44116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39839]) ).
tcf(c_44669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ 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(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_37464]) ).
tcf(c_44677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X3)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_37464]) ).
tcf(c_44710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(X3)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38634]) ).
tcf(c_44788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32854]) ).
tcf(c_44804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(z)),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32870]) ).
tcf(c_44807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X3)),X2)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32870]) ).
tcf(c_44858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_37490]) ).
tcf(c_44903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33553]) ).
tcf(c_44923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X1))),X2)
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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_33574]) ).
tcf(c_44927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(X2))))
| ~ b(s(s(s(X2))),X3)
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33574]) ).
tcf(c_44946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X3))),X2)
| ~ 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_33583]) ).
tcf(c_44963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(s(z),s(s(s(X2))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_33590]) ).
tcf(c_44965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(X3))),s(X2))
| ~ b(s(s(X0)),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33590]) ).
tcf(c_45031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_38633]) ).
tcf(c_45032,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_45031]) ).
tcf(c_45095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),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_38662]) ).
tcf(c_45096,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(s(z))) ),
inference(instantiation,[status(thm)],[c_45095]) ).
tcf(c_45099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(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_38662]) ).
tcf(c_45100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X2)))
| ~ b(s(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_38662]) ).
tcf(c_45225,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(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39542]) ).
tcf(c_46006,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(X0))),z)
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32378]) ).
tcf(c_46035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X0)
| ~ r(z,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32916]) ).
tcf(c_46037,plain,
! [X0: $i,X1: $i] :
( ~ r(z,X1)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31277]) ).
tcf(c_46043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X2))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33384]) ).
tcf(c_46066,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43263]) ).
tcf(c_46067,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46066]) ).
tcf(c_46109,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_41359]) ).
tcf(c_46279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ 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_40874]) ).
tcf(c_46376,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(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_41186]) ).
tcf(c_46377,plain,
( ~ r(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_46376]) ).
tcf(c_46560,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_43269]) ).
tcf(c_46561,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_46560]) ).
tcf(c_46564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43269]) ).
tcf(c_46631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32916]) ).
tcf(c_46632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_46634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31277]) ).
tcf(c_46636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_31302]) ).
tcf(c_47206,plain,
! [X0: $i,X1: $i,X2: $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(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40896]) ).
tcf(c_47891,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(X1))
| ~ 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_42891]) ).
tcf(c_47892,plain,
( ~ 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(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_47891]) ).
tcf(c_47906,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ 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_42933]) ).
tcf(c_47907,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_47906]) ).
tcf(c_48010,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ 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_43260]) ).
tcf(c_48011,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48010]) ).
tcf(c_48025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43532]) ).
tcf(c_48174,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(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_43857]) ).
tcf(c_48175,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_48174]) ).
tcf(c_48176,plain,
! [X0: $i,X1: $i] :
( ~ 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(X1))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_43857]) ).
tcf(c_48177,plain,
( ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_48176]) ).
tcf(c_48378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,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(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_43143]) ).
tcf(c_48379,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_48378]) ).
tcf(c_48457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X3))
| ~ b(X2,s(X3))
| ~ 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_43238]) ).
tcf(c_48680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(X1))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_41362]) ).
tcf(c_48742,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(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_41526]) ).
tcf(c_48981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X0))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(X0),s(s(s(X3))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43475]) ).
tcf(c_49202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(X1)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_43796]) ).
tcf(c_49203,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49202]) ).
tcf(c_49206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(s(s(X2)))))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_43796]) ).
tcf(c_49486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X2))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44116]) ).
tcf(c_49723,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(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_44669]) ).
tcf(c_49725,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_49723]) ).
tcf(c_49898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(X2)),X1)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),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_40533]) ).
tcf(c_49899,plain,
( ~ b(s(s(z)),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_49898]) ).
tcf(c_49927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(z),s(X1))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_40549]) ).
tcf(c_49945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ 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_40568]) ).
tcf(c_49946,plain,
( ~ b(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_49945]) ).
tcf(c_49951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_40575]) ).
tcf(c_49959,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(X1))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(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_40575]) ).
tcf(c_49969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40581]) ).
tcf(c_50021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X0))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40612]) ).
tcf(c_50656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44677]) ).
tcf(c_50694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(s(X3)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X3)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_44710]) ).
tcf(c_50743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44804]) ).
tcf(c_50772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44903]) ).
tcf(c_50773,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)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50772]) ).
tcf(c_50803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_44923]) ).
tcf(c_50828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_44963]) ).
tcf(c_50922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ 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_45095]) ).
tcf(c_50944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_40528]) ).
tcf(c_51361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X3))))
| ~ 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_41931]) ).
tcf(c_51362,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(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_51361]) ).
tcf(c_51389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X2)),s(s(X4)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_42352]) ).
tcf(c_51503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(X0)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44788]) ).
tcf(c_51537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44807]) ).
tcf(c_51651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X1)))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_44927]) ).
tcf(c_51705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X0),s(s(s(s(X2)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44946]) ).
tcf(c_51720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(X4,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44965]) ).
tcf(c_51841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),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_45100]) ).
tcf(c_51879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45099]) ).
tcf(c_52072,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_33608]) ).
tcf(c_52073,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_52072]) ).
tcf(c_52083,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_33625]) ).
tcf(c_52084,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_52083]) ).
tcf(c_52257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_45099]) ).
tcf(c_52959,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_37312]) ).
tcf(c_52960,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_52959]) ).
tcf(c_53089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35396]) ).
tcf(c_53105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(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_35397]) ).
tcf(c_53116,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36027]) ).
tcf(c_53141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ 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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35418]) ).
tcf(c_53146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ 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_35258]) ).
tcf(c_53339,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_31370]) ).
tcf(c_53340,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_53339]) ).
tcf(c_53349,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_41333]) ).
tcf(c_53374,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31696]) ).
tcf(c_53610,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),s(z))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(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_44858]) ).
tcf(c_53614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ 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_34405]) ).
tcf(c_53615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_34401]) ).
tcf(c_53625,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(X1,s(z))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(z)))),s(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_34404]) ).
tcf(c_53633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X1))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ 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_35266]) ).
tcf(c_53634,plain,
( ~ b(z,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(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53633]) ).
tcf(c_53637,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(s(z)))),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(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_53625]) ).
tcf(c_53641,plain,
( ~ b(z,s(z))
| ~ 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(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_53610]) ).
tcf(c_53644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),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_35396]) ).
tcf(c_53660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ 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_35397]) ).
tcf(c_53696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_35391]) ).
tcf(c_54210,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_46037]) ).
tcf(c_54321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_46632]) ).
tcf(c_54427,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_39238]) ).
tcf(c_54429,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_54427]) ).
tcf(c_54639,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_46634]) ).
tcf(c_55338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(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_35374]) ).
tcf(c_55522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46035]) ).
tcf(c_55534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ 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_46043]) ).
tcf(c_55535,plain,
( ~ r(z,s(s(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_55534]) ).
tcf(c_55542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_46636]) ).
tcf(c_56110,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_32922]) ).
tcf(c_56111,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_56110]) ).
tcf(c_56211,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39240]) ).
tcf(c_57017,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,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_46006]) ).
tcf(c_57073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46631]) ).
tcf(c_57223,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(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_48680]) ).
tcf(c_57224,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57223]) ).
tcf(c_57958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34209]) ).
tcf(c_57959,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57958]) ).
tcf(c_58336,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_49927]) ).
tcf(c_58337,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_58336]) ).
tcf(c_58366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(X2),s(s(z)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ 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(X1)))) ),
inference(instantiation,[status(thm)],[c_49951]) ).
tcf(c_58774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X3,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_32761]) ).
tcf(c_59033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35381]) ).
tcf(c_59691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ 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(X1)))) ),
inference(instantiation,[status(thm)],[c_49959]) ).
tcf(c_59740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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(s(X1))))) ),
inference(instantiation,[status(thm)],[c_49969]) ).
tcf(c_60118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(X2))
| ~ b(s(X2),s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_48457]) ).
tcf(c_60600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50656]) ).
tcf(c_60601,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60600]) ).
tcf(c_60602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50656]) ).
tcf(c_60603,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60602]) ).
tcf(c_60651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(X1,s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50694]) ).
tcf(c_60652,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60651]) ).
tcf(c_60653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(s(s(X2)))),z)
| ~ b(X1,s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_50694]) ).
tcf(c_60654,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60653]) ).
tcf(c_60668,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_50743]) ).
tcf(c_60669,plain,
( ~ b(s(z),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(s(z))))) ),
inference(instantiation,[status(thm)],[c_60668]) ).
tcf(c_60739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50772]) ).
tcf(c_60740,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_60739]) ).
tcf(c_60744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50772]) ).
tcf(c_60745,plain,
( ~ 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(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_60744]) ).
tcf(c_60774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50803]) ).
tcf(c_60775,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60774]) ).
tcf(c_60847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(z)))
| ~ b(X2,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(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50828]) ).
tcf(c_60848,plain,
( ~ b(z,s(z))
| ~ 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(s(z))) ),
inference(instantiation,[status(thm)],[c_60847]) ).
tcf(c_61027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_50922]) ).
tcf(c_61028,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_61027]) ).
tcf(c_61968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50944]) ).
tcf(c_61969,plain,
( ~ b(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(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_61968]) ).
tcf(c_61971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ 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(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_50944]) ).
tcf(c_61972,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_61971]) ).
tcf(c_62302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X4)),X3)
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34470]) ).
tcf(c_62315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34478]) ).
tcf(c_62458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ 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_35349]) ).
tcf(c_62480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),X3)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ 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_35358]) ).
tcf(c_62729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X3))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35411]) ).
tcf(c_63276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51389]) ).
tcf(c_63599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51503]) ).
tcf(c_63655,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_28770,c_59]) ).
tcf(c_63656,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_63655]) ).
tcf(c_63711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X3)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51537]) ).
tcf(c_63880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51651]) ).
tcf(c_63944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(s(X0))),X4)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X3)))),X4)
| ~ b(s(s(s(s(X1)))),X4)
| ~ b(s(X2),s(s(s(s(X3)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51705]) ).
tcf(c_63974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_51720]) ).
tcf(c_63975,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_63974]) ).
tcf(c_64239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ 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(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51841]) ).
tcf(c_64257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(s(X0))))),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_51879]) ).
tcf(c_64258,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(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_64257]) ).
tcf(c_64259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_51879]) ).
tcf(c_64260,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_64259]) ).
tcf(c_64733,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_33174]) ).
tcf(c_64734,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_64733]) ).
tcf(c_64753,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_31280]) ).
tcf(c_64754,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_64753]) ).
tcf(c_65505,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_56110]) ).
tcf(c_65506,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_65505]) ).
tcf(c_65511,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(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_56211]) ).
tcf(c_65530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(X2))))
| ~ r(s(X0),s(s(s(X2))))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33384]) ).
tcf(c_65531,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_65530]) ).
tcf(c_65744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(X2))
| ~ r(X0,s(X2))
| ~ r(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32916]) ).
tcf(c_65745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_66624,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37610]) ).
tcf(c_66845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41079]) ).
tcf(c_67029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32055]) ).
tcf(c_67161,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_54210]) ).
tcf(c_67266,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_57017]) ).
tcf(c_67421,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54639]) ).
tcf(c_67795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40900]) ).
tcf(c_67955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ 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_48025]) ).
tcf(c_68222,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_55522]) ).
tcf(c_69085,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(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45225]) ).
tcf(c_69634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X1)))
| ~ 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_41521]) ).
tcf(c_70233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32712]) ).
tcf(c_70824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X0))
| ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(X0),s(s(s(s(X2)))))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_48981]) ).
tcf(c_71022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ 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_49486]) ).
tcf(c_71175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_54321]) ).
tcf(c_71176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(X3,s(s(X2)))
| ~ r(s(X0),s(s(X2)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_54321]) ).
tcf(c_71177,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_71176]) ).
tcf(c_71178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_54321]) ).
tcf(c_71371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_55542]) ).
tcf(c_71966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_57073]) ).
tcf(c_72312,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_37149]) ).
tcf(c_72313,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_72312]) ).
tcf(c_72459,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_35731]) ).
tcf(c_72460,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_72459]) ).
tcf(c_72472,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_41330]) ).
tcf(c_72473,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_72472]) ).
tcf(c_72648,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),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(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_61968]) ).
tcf(c_72649,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_72648]) ).
tcf(c_72694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(z,s(s(s(s(X0)))))
| ~ b(X2,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_40569]) ).
tcf(c_72695,plain,
( ~ b(s(s(z)),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(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_72694]) ).
tcf(c_73180,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ 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_58366]) ).
tcf(c_73181,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_73180]) ).
tcf(c_73376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(s(X0)))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35109]) ).
tcf(c_74004,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),X1)
| r(s(s(s(s(s(X0))))),X1)
| ( s(s(s(s(s(X0))))) = X1 ) ),
inference(instantiation,[status(thm)],[c_41756]) ).
tcf(c_74128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53089]) ).
tcf(c_74129,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74128]) ).
tcf(c_74158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53105]) ).
tcf(c_74175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53141]) ).
tcf(c_74177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53141]) ).
tcf(c_74210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53146]) ).
tcf(c_74361,plain,
! [X0: $i,X1: $i] :
( b(X0,s(s(s(s(s(X1))))))
| r(X0,s(s(s(s(s(X1))))))
| ( X0 = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_37898]) ).
tcf(c_74446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(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_53614]) ).
tcf(c_74473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53615]) ).
tcf(c_74474,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74473]) ).
tcf(c_74608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(X3))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_53644]) ).
tcf(c_74609,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74608]) ).
tcf(c_74625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(s(z)))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(X3),s(s(s(s(s(X0))))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53660]) ).
tcf(c_74626,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74625]) ).
tcf(c_74659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X1))))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(X2),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_53696]) ).
tcf(c_74660,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_74659]) ).
tcf(c_75651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(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_59691]) ).
tcf(c_75665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(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_59740]) ).
tcf(c_75783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_60118]) ).
tcf(c_75788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ 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_58774]) ).
tcf(c_76955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(X3,s(s(s(s(s(X0))))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62480]) ).
tcf(c_76956,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_76955]) ).
tcf(c_77018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_62729]) ).
tcf(c_77019,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_77018]) ).
tcf(c_77769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),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_64239]) ).
tcf(c_77770,plain,
( ~ b(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_77769]) ).
tcf(c_78806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),X3)
| ~ b(X3,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62458]) ).
tcf(c_78807,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ 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_78806]) ).
tcf(c_80023,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(X0)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_55338]) ).
tcf(c_80024,plain,
( ~ b(s(z),z)
| ~ b(z,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(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80023]) ).
tcf(c_80615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62302]) ).
tcf(c_80616,plain,
( ~ b(s(s(z)),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(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80615]) ).
tcf(c_80617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_62302]) ).
tcf(c_80618,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_80617]) ).
tcf(c_80634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_62315]) ).
tcf(c_80635,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_80634]) ).
tcf(c_81837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63599]) ).
tcf(c_81838,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81837]) ).
tcf(c_81839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ 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_63599]) ).
tcf(c_81840,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_81839]) ).
tcf(c_81960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),X3)
| ~ b(s(s(s(s(X2)))),X3)
| ~ b(s(s(s(s(s(X0))))),X3)
| ~ b(s(s(X1)),s(s(s(s(z)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63711]) ).
tcf(c_81961,plain,
( ~ b(s(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(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_81960]) ).
tcf(c_82178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_63880]) ).
tcf(c_82179,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ 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_82178]) ).
tcf(c_82276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(z)))),X2)
| ~ b(s(s(s(s(X3)))),X2)
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(X3)))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_63944]) ).
tcf(c_82277,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_82276]) ).
tcf(c_83819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(X3))),X2)
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_59033]) ).
tcf(c_83831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(s(s(s(z))),X3)
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_52257]) ).
tcf(c_83833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(X1))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_35409]) ).
tcf(c_83838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(s(X3)))
| ~ b(s(s(X3)),X1)
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(X2,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_34200]) ).
tcf(c_83858,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83838]) ).
tcf(c_83861,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83833]) ).
tcf(c_83862,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83831]) ).
tcf(c_83868,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83819]) ).
tcf(c_83880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_63276]) ).
tcf(c_83907,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_83880]) ).
tcf(c_84164,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_31575]) ).
tcf(c_84165,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_84164]) ).
tcf(c_84216,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(s(s(X0))))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_35732]) ).
tcf(c_84217,plain,
( ( s(s(z)) = s(s(s(s(s(z))))) )
| ( s(s(z)) != s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_84216]) ).
tcf(c_84253,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41951]) ).
tcf(c_84263,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_84253]) ).
tcf(c_84271,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_53339]) ).
tcf(c_84273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(s(X2)))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46564]) ).
tcf(c_84282,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41950]) ).
tcf(c_84283,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41868]) ).
tcf(c_84295,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84283]) ).
tcf(c_84296,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84282]) ).
tcf(c_84299,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_84273]) ).
tcf(c_84300,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_84271]) ).
tcf(c_84313,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53374]) ).
tcf(c_84316,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_53349]) ).
tcf(c_84320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(s(X1))))),z)
| ~ r(s(s(s(s(s(X1))))),X2)
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_39224]) ).
tcf(c_84321,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84320]) ).
tcf(c_84323,plain,
( ~ 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(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84316]) ).
tcf(c_84325,plain,
( ~ r(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(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_84313]) ).
tcf(c_84352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35502]) ).
tcf(c_84358,plain,
( ~ r(z,s(s(s(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_84352]) ).
tcf(c_84365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_39543]) ).
tcf(c_84369,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84365]) ).
tcf(c_84826,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(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(X0)))) ),
inference(instantiation,[status(thm)],[c_48742]) ).
tcf(c_85197,plain,
! [X0: $i] :
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_67161]) ).
tcf(c_85203,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85197]) ).
tcf(c_85207,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(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_68222]) ).
tcf(c_85214,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_85207]) ).
tcf(c_85296,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_65505]) ).
tcf(c_85297,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_85296]) ).
tcf(c_85472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(X2))
| ~ r(X0,s(X2))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_65745]) ).
tcf(c_85695,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(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(X1)))) ),
inference(instantiation,[status(thm)],[c_67266]) ).
tcf(c_85696,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_85695]) ).
tcf(c_85934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_71175]) ).
tcf(c_85964,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ 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_71371]) ).
tcf(c_85989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_71966]) ).
tcf(c_85990,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_85989]) ).
tcf(c_87354,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(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_69085]) ).
tcf(c_87372,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_87354]) ).
tcf(c_87402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_43491]) ).
tcf(c_87413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36218]) ).
tcf(c_87415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ 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_35546]) ).
tcf(c_87417,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_87415]) ).
tcf(c_87418,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_87413]) ).
tcf(c_87422,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_87402]) ).
tcf(c_88174,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_65505]) ).
tcf(c_88664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_67029]) ).
tcf(c_88665,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_88664]) ).
tcf(c_88888,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ 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_69634]) ).
tcf(c_89380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74128]) ).
tcf(c_89381,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89380]) ).
tcf(c_89402,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ 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_74175]) ).
tcf(c_89435,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74210]) ).
tcf(c_89436,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89435]) ).
tcf(c_89446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(z)))))
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(X2,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_74210]) ).
tcf(c_89447,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89446]) ).
tcf(c_89574,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_41654,c_59]) ).
tcf(c_89575,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_89574]) ).
tcf(c_89595,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_41654,c_56]) ).
tcf(c_89711,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ 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(X0))))) ),
inference(instantiation,[status(thm)],[c_75788]) ).
tcf(c_89770,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(z)))),X1)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ 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_77769]) ).
tcf(c_89771,plain,
( ~ b(s(s(z)),z)
| ~ b(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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_89770]) ).
tcf(c_89837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_65744]) ).
tcf(c_89838,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_89837]) ).
tcf(c_90031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X3))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_70233]) ).
tcf(c_90032,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_90031]) ).
tcf(c_90343,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_89595,c_59]) ).
tcf(c_90790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_71176]) ).
tcf(c_90791,plain,
( ~ r(z,s(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_90790]) ).
tcf(c_90876,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_71178]) ).
tcf(c_91149,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_74004]) ).
tcf(c_91152,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_35471]) ).
tcf(c_91154,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_91149]) ).
tcf(c_91156,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_91152]) ).
tcf(c_91187,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_74361]) ).
tcf(c_91189,plain,
! [X0: $i] :
( ( z = s(s(s(s(X0)))) )
| ( s(z) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_31299]) ).
tcf(c_91190,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_91187]) ).
tcf(c_91191,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_91189]) ).
tcf(c_91248,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_91249,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_91248]) ).
tcf(c_91691,plain,
( r(s(s(s(z))),s(s(z)))
| b(s(s(s(z))),s(s(z))) ),
inference(global_subsumption_just,[status(thm)],[c_90343,c_65,c_286,c_89575]) ).
tcf(c_91692,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z))) ),
inference(renaming,[status(thm)],[c_91691]) ).
tcf(c_91888,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_33169]) ).
tcf(c_91889,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_91888]) ).
tcf(c_92529,plain,
! [X0: $i] :
( ~ r(s(z),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(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66624]) ).
tcf(c_92530,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_65511]) ).
tcf(c_92567,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92530]) ).
tcf(c_92568,plain,
( ~ r(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_92529]) ).
tcf(c_92579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_49206]) ).
tcf(c_92581,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_92579]) ).
tcf(c_93413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_67795]) ).
tcf(c_94391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75651]) ).
tcf(c_94392,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94391]) ).
tcf(c_94437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X1))))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75665]) ).
tcf(c_94438,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_94437]) ).
tcf(c_96239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(X2)))
| ~ 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_73376]) ).
tcf(c_96240,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),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(s(z))))) ),
inference(instantiation,[status(thm)],[c_96239]) ).
tcf(c_96741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74158]) ).
tcf(c_96742,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96741]) ).
tcf(c_96774,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(s(z)))),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(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_74177]) ).
tcf(c_96775,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96774]) ).
tcf(c_99605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(s(X3))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_75783]) ).
tcf(c_99641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(s(X3)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X0))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_50021]) ).
tcf(c_99646,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_99641]) ).
tcf(c_99654,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_99605]) ).
tcf(c_99859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(z))),s(X1))
| ~ b(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(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_41387]) ).
tcf(c_99878,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_99859]) ).
tcf(c_99978,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(X1,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34159]) ).
tcf(c_100006,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_99978]) ).
tcf(c_100015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(X2)))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_73376]) ).
tcf(c_100069,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_100015]) ).
tcf(c_102385,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ 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_85964]) ).
tcf(c_102389,plain,
( ~ r(s(s(z)),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_102385]) ).
tcf(c_102441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(X3),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_70824]) ).
tcf(c_102442,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_102441]) ).
tcf(c_103861,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_67795]) ).
tcf(c_103863,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_47206]) ).
tcf(c_103866,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103863]) ).
tcf(c_103867,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103861]) ).
tcf(c_103901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_85472]) ).
tcf(c_104684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_67955]) ).
tcf(c_104695,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_46066]) ).
tcf(c_104702,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(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_37317]) ).
tcf(c_104706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36335]) ).
tcf(c_104717,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(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_35769]) ).
tcf(c_104723,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),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_35554]) ).
tcf(c_104724,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_104723]) ).
tcf(c_104728,plain,
( ~ r(s(z),s(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_104717]) ).
tcf(c_104732,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_104706]) ).
tcf(c_104734,plain,
( ~ r(s(s(z)),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)))))) ),
inference(instantiation,[status(thm)],[c_104702]) ).
tcf(c_104736,plain,
( ~ r(s(s(z)),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)))))) ),
inference(instantiation,[status(thm)],[c_104695]) ).
tcf(c_104738,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_104684]) ).
tcf(c_106953,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ 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(X0)))) ),
inference(instantiation,[status(thm)],[c_84826]) ).
tcf(c_106954,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106953]) ).
tcf(c_107234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_85989]) ).
tcf(c_107235,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_107234]) ).
tcf(c_107507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90790]) ).
tcf(c_107508,plain,
( ~ r(z,s(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_107507]) ).
tcf(c_107997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_41951]) ).
tcf(c_107999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42206]) ).
tcf(c_108007,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_107999]) ).
tcf(c_108008,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_107997]) ).
tcf(c_108204,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_67421]) ).
tcf(c_108205,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_108204]) ).
tcf(c_109445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(z))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ 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_71022]) ).
tcf(c_109452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66845]) ).
tcf(c_109455,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_66624]) ).
tcf(c_109456,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_65511]) ).
tcf(c_109462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X2)))))
| ~ r(s(s(s(z))),s(s(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(X1))))) ),
inference(instantiation,[status(thm)],[c_46279]) ).
tcf(c_109493,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109462]) ).
tcf(c_109494,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109456]) ).
tcf(c_109495,plain,
( ~ r(s(z),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109455]) ).
tcf(c_109496,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109452]) ).
tcf(c_109499,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_109445]) ).
tcf(c_112998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(s(X2)))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_90876]) ).
tcf(c_112999,plain,
( ~ r(s(z),z)
| ~ r(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_112998]) ).
tcf(c_113377,plain,
! [X0: $i] : s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))),
inference(instantiation,[status(thm)],[c_33639]) ).
tcf(c_113378,plain,
s(s(s(s(s(z))))) = s(s(s(s(s(z))))),
inference(instantiation,[status(thm)],[c_113377]) ).
tcf(c_113994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X2))))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_93413]) ).
tcf(c_113995,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_113994]) ).
tcf(c_118867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_103901]) ).
tcf(c_118868,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_118867]) ).
tcf(c_121730,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36354]) ).
tcf(c_121731,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_121730]) ).
tcf(c_121732,plain,
! [X0: $i] :
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36354]) ).
tcf(c_121733,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_121732]) ).
tcf(c_121856,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),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_46109]) ).
tcf(c_121857,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_121856]) ).
tcf(c_121973,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),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_49723]) ).
tcf(c_121974,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_121973]) ).
tcf(c_122020,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(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(z)))) ),
inference(instantiation,[status(thm)],[c_54427]) ).
tcf(c_122021,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122020]) ).
tcf(c_122142,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(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_88888]) ).
tcf(c_122143,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_122142]) ).
tcf(c_122221,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(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)))))) ),
inference(instantiation,[status(thm)],[c_89711]) ).
tcf(c_122222,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(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_122221]) ).
tcf(c_123520,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_84253]) ).
tcf(c_123523,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_123520]) ).
tcf(c_123554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_85934]) ).
tcf(c_123583,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_123554]) ).
tcf(c_123641,plain,
! [X0: $i] :
( ~ 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(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_35503]) ).
tcf(c_123642,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_123641]) ).
tcf(c_124274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),X2)
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X1),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(z))))) ),
inference(instantiation,[status(thm)],[c_74446]) ).
tcf(c_124276,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ 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_124274]) ).
tcf(c_125448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_43230]) ).
tcf(c_125456,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_125448]) ).
tcf(c_127606,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_88174]) ).
tcf(c_127607,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_127606]) ).
tcf(c_127634,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(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_89402]) ).
tcf(c_127635,plain,
( ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_127634]) ).
tcf(c_128676,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ 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(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53116]) ).
tcf(c_128677,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(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_128676]) ).
tcf(c_128682,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_53116]) ).
tcf(c_128683,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_128682]) ).
tcf(c_129424,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_84283]) ).
tcf(c_129425,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129424]) ).
tcf(c_129437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,X1)
| ~ b(X1,X3)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_129437]) ).
tcf(c_129474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X0,X3)
| ~ b(X0,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X1)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129462]) ).
tcf(c_129487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129462]) ).
tcf(c_129489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129469]) ).
tcf(c_129491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X3,s(X0))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129447]) ).
tcf(c_129495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X2)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(s(X0))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_129502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X0,X4)
| ~ b(X0,X2)
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129462]) ).
tcf(c_129517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129487]) ).
tcf(c_129522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129489]) ).
tcf(c_129525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),s(z))
| ~ b(s(X0),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129491]) ).
tcf(c_129529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X0))
| ~ b(X1,s(X3))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129474]) ).
tcf(c_129532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),X4)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129486]) ).
tcf(c_129535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129486]) ).
tcf(c_129541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,X3)
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_129569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(z,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129525]) ).
tcf(c_129571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129517]) ).
tcf(c_129582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X4))
| ~ b(X3,s(X0))
| ~ b(X2,s(X4))
| ~ b(X1,s(X4))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129502]) ).
tcf(c_129585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(X1))
| ~ b(X2,s(X1))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129502]) ).
tcf(c_129590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129503]) ).
tcf(c_129597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129529]) ).
tcf(c_129598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129529]) ).
tcf(c_129599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129529]) ).
tcf(c_129601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(X0))
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129529]) ).
tcf(c_129604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),X1)
| ~ b(X2,s(X3))
| ~ b(s(X3),X1)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),X1)
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_129532]) ).
tcf(c_129606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X4),X2)
| ~ b(s(X0),X3)
| ~ b(s(X0),X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129532]) ).
tcf(c_129610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,s(X0))
| ~ b(s(X3),X2)
| ~ b(X4,s(s(X1)))
| ~ b(s(X0),s(X3))
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129535]) ).
tcf(c_129619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(s(s(X0)),z)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_129620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,X1)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_129495]) ).
tcf(c_129654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X1))
| ~ b(s(X4),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129532]) ).
tcf(c_129656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129503]) ).
tcf(c_129662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,s(X2))
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129535]) ).
tcf(c_129681,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129597]) ).
tcf(c_129682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(s(X0)),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129597]) ).
tcf(c_129684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129597]) ).
tcf(c_129685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X3,s(s(X2)))
| ~ r(X0,s(s(X2)))
| ~ r(X0,s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129541]) ).
tcf(c_129697,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129599]) ).
tcf(c_129700,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129599]) ).
tcf(c_129702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(z),s(X2))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(X2))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129571]) ).
tcf(c_129705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129571]) ).
tcf(c_129723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129585]) ).
tcf(c_129725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X2,X4)
| ~ b(X2,X3)
| ~ b(X4,s(X0))
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129585]) ).
tcf(c_129726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129582]) ).
tcf(c_129727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(s(X1),X4)
| ~ b(s(X1),X3)
| ~ b(s(X0),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_129582]) ).
tcf(c_129749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(X1),s(z))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129604]) ).
tcf(c_129762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(s(X1),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129598]) ).
tcf(c_129764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(z,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129598]) ).
tcf(c_129769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(z,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129601]) ).
tcf(c_129777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129590]) ).
tcf(c_129784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X0),s(X2))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129606]) ).
tcf(c_129792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X0))
| ~ b(s(X0),s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129610]) ).
tcf(c_129842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129620]) ).
tcf(c_129898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X1,X2)
| ~ r(X1,s(s(X3)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_129541]) ).
tcf(c_129899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_129915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129619]) ).
tcf(c_129918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129685]) ).
tcf(c_129919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129685]) ).
tcf(c_129963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129705]) ).
tcf(c_129981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(s(X2),z)
| ~ b(s(X2),X1)
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(X2))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_129726]) ).
tcf(c_129995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(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_129749]) ).
tcf(c_130005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129762]) ).
tcf(c_130018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129656]) ).
tcf(c_130039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X1),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X1))
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129654]) ).
tcf(c_130050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X1),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129662]) ).
tcf(c_130059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129725]) ).
tcf(c_130063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(s(X3),X2)
| ~ b(s(X3),X1)
| ~ b(s(z),s(X3))
| ~ b(X2,s(s(X0)))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_129727]) ).
tcf(c_130065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),X4)
| ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(X4,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129727]) ).
tcf(c_130080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X0))
| ~ b(s(X2),X4)
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129777]) ).
tcf(c_130085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X4))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129784]) ).
tcf(c_130092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X4))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_129792]) ).
tcf(c_130245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129898]) ).
tcf(c_130248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(X0)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129899]) ).
tcf(c_130341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130063]) ).
tcf(c_130345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130018]) ).
tcf(c_130350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(X1))
| ~ b(s(X3),s(X1))
| ~ b(s(X2),s(X3))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130018]) ).
tcf(c_130390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130005]) ).
tcf(c_130407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X2),s(X4))
| ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130039]) ).
tcf(c_130413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130050]) ).
tcf(c_130416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X1)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130050]) ).
tcf(c_130430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X0),X3)
| ~ b(s(X2),s(z))
| ~ b(X3,s(s(X1)))
| ~ b(s(X0),s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130065]) ).
tcf(c_130432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X0),X4)
| ~ b(X4,s(s(X1)))
| ~ b(s(X3),s(X2))
| ~ b(s(X0),s(X3))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130065]) ).
tcf(c_130454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130080]) ).
tcf(c_130457,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(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130080]) ).
tcf(c_130461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(X1))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130085]) ).
tcf(c_130464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X2),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130085]) ).
tcf(c_130471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130092]) ).
tcf(c_130678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(s(X3),X4)
| ~ b(s(X3),s(X2))
| ~ b(s(s(X0)),X4)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130345]) ).
tcf(c_130685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(X4,s(s(X1)))
| ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130350]) ).
tcf(c_130727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X3)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130430]) ).
tcf(c_130747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(X1),s(X3))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130407]) ).
tcf(c_130748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(z))
| ~ b(s(X3),s(X2))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130407]) ).
tcf(c_130808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130461]) ).
tcf(c_130809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X3))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130461]) ).
tcf(c_130811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130461]) ).
tcf(c_130817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X1),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130464]) ).
tcf(c_130856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X1),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130464]) ).
tcf(c_130970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X2),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(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_130471]) ).
tcf(c_130971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X2),s(X3))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(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_130464]) ).
tcf(c_130972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(s(X2),X4)
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130457]) ).
tcf(c_130973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X2))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130454]) ).
tcf(c_130975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130413]) ).
tcf(c_130977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130390]) ).
tcf(c_130983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129995]) ).
tcf(c_131079,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(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130457]) ).
tcf(c_131081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130416]) ).
tcf(c_131082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130413]) ).
tcf(c_131084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130390]) ).
tcf(c_131398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X1)),s(s(X3)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130809]) ).
tcf(c_131408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130817]) ).
tcf(c_131431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X1))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_130727]) ).
tcf(c_131445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130748]) ).
tcf(c_131468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(X4))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130678]) ).
tcf(c_131486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130685]) ).
tcf(c_131487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130685]) ).
tcf(c_131489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(X2))
| ~ b(s(X3),s(X2))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130685]) ).
tcf(c_131512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130747]) ).
tcf(c_131567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130808]) ).
tcf(c_131573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130811]) ).
tcf(c_131574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130811]) ).
tcf(c_131575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130811]) ).
tcf(c_131963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(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_131408]) ).
tcf(c_132109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130856]) ).
tcf(c_132112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130856]) ).
tcf(c_132363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131398]) ).
tcf(c_132544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_131573]) ).
tcf(c_132563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130977]) ).
tcf(c_132577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131431]) ).
tcf(c_132609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(X3)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131445]) ).
tcf(c_132631,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(X2))
| ~ b(X1,s(s(z)))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_131487]) ).
tcf(c_132658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130970]) ).
tcf(c_132670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130971]) ).
tcf(c_132679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ 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_131468]) ).
tcf(c_132756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131079]) ).
tcf(c_132779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131081]) ).
tcf(c_132788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(X0)),X3)
| ~ 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_131082]) ).
tcf(c_132801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(X2)))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131489]) ).
tcf(c_132853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131512]) ).
tcf(c_132966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131575]) ).
tcf(c_132996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X3)),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(X1))) ),
inference(instantiation,[status(thm)],[c_131574]) ).
tcf(c_133461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_131963]) ).
tcf(c_133491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132109]) ).
tcf(c_133951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132112]) ).
tcf(c_134337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132544]) ).
tcf(c_134578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(z),s(s(s(X1))))
| ~ 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_132577]) ).
tcf(c_134756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132658]) ).
tcf(c_134845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X0)))
| ~ b(s(s(X2)),X4)
| ~ b(s(s(X2)),s(s(X0)))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132756]) ).
tcf(c_134866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(s(X2)),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132779]) ).
tcf(c_134960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132853]) ).
tcf(c_135078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132966]) ).
tcf(c_135112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132996]) ).
tcf(c_135382,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133491]) ).
tcf(c_135891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133951]) ).
tcf(c_136214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134337]) ).
tcf(c_136632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134756]) ).
tcf(c_136713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(X3)))
| ~ b(X4,s(s(X2)))
| ~ b(s(s(s(X0))),X4)
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ 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_134845]) ).
tcf(c_136803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134960]) ).
tcf(c_137262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_135112]) ).
tcf(c_137296,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(z)),s(s(s(z))))
| ~ 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_133461]) ).
tcf(c_137301,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_137296]) ).
tcf(c_138637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(X2)),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_134866]) ).
tcf(c_138874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135382]) ).
tcf(c_139139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_135891]) ).
tcf(c_139296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(z)),s(s(s(X3))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_136214]) ).
tcf(c_139720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X4))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(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_136632]) ).
tcf(c_139784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_136713]) ).
tcf(c_139915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X3)),s(X4))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(s(X0))),s(X4))
| ~ 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_136803]) ).
tcf(c_140148,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_137296]) ).
tcf(c_140149,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_140148]) ).
tcf(c_140723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139139]) ).
tcf(c_140724,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_140723]) ).
tcf(c_142365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130248]) ).
tcf(c_142366,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X1)
| ~ r(X1,s(s(X2)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_129919]) ).
tcf(c_142367,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_129915]) ).
tcf(c_142370,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_129918]) ).
tcf(c_142392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X3)))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129919]) ).
tcf(c_142407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X3)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130248]) ).
tcf(c_142411,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_129842]) ).
tcf(c_142414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(X0)),X3)
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130245]) ).
tcf(c_142639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(z))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_139720]) ).
tcf(c_142640,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_142639]) ).
tcf(c_143831,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ 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_142365]) ).
tcf(c_143848,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),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_142367]) ).
tcf(c_143857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142370]) ).
tcf(c_144006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ 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_129522]) ).
tcf(c_144304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_129522]) ).
tcf(c_144383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(s(X3)),s(X4))
| ~ b(s(X4),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(X4))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ 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_139915]) ).
tcf(c_145036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142366]) ).
tcf(c_145056,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(X1))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_129682]) ).
tcf(c_145057,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(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_145056]) ).
tcf(c_145087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_129684]) ).
tcf(c_145154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132631]) ).
tcf(c_145509,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_129681]) ).
tcf(c_145611,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_129697]) ).
tcf(c_145658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_129569]) ).
tcf(c_145689,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129700]) ).
tcf(c_145725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(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_129981]) ).
tcf(c_145879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(s(X1),X3)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(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_129610]) ).
tcf(c_146151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_129723]) ).
tcf(c_146534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X1)
| ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_129662]) ).
tcf(c_146539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142392]) ).
tcf(c_146599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),X3)
| ~ 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_142407]) ).
tcf(c_146644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_142414]) ).
tcf(c_146657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_129702]) ).
tcf(c_146994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),z)
| ~ b(s(X1),X2)
| ~ b(z,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129764]) ).
tcf(c_147156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X0)),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_129963]) ).
tcf(c_147282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(X2,s(s(X3)))
| ~ b(X1,s(s(X3)))
| ~ b(s(z),s(s(X3)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130341]) ).
tcf(c_147310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(X2))
| ~ b(z,s(s(X1)))
| ~ b(X3,s(s(X1)))
| ~ 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_129769]) ).
tcf(c_147654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_130983]) ).
tcf(c_147719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,X3)
| ~ b(X3,s(X4))
| ~ b(X2,s(s(X1)))
| ~ b(s(X4),s(s(X1)))
| ~ 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_130059]) ).
tcf(c_147801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ 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(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_131486]) ).
tcf(c_148040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(X3))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132363]) ).
tcf(c_148085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(s(s(s(X2))),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(X0)))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132679]) ).
tcf(c_148341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(X2),s(X1))
| ~ b(s(X2),s(s(z)))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130432]) ).
tcf(c_149929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(s(X3),z)
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131084]) ).
tcf(c_149982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132563]) ).
tcf(c_150013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X3))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132609]) ).
tcf(c_150051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_132788]) ).
tcf(c_150065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X3),s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130972]) ).
tcf(c_150080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(X2))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130973]) ).
tcf(c_150118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X3))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134578]) ).
tcf(c_150360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_130975]) ).
tcf(c_150361,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_150360]) ).
tcf(c_150362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X1)),s(X4))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_130975]) ).
tcf(c_150562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),X3)
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X4))
| ~ 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_131081]) ).
tcf(c_150577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),X4)
| ~ b(s(X2),X4)
| ~ b(s(s(X0)),X4)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131082]) ).
tcf(c_150732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_131567]) ).
tcf(c_150982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(X2),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_132670]) ).
tcf(c_150988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132670]) ).
tcf(c_151085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_132801]) ).
tcf(c_151424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ 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_135078]) ).
tcf(c_151553,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_142411]) ).
tcf(c_151710,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143831]) ).
tcf(c_151848,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(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_143857]) ).
tcf(c_151892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_146539]) ).
tcf(c_152388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145154]) ).
tcf(c_153075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),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_146599]) ).
tcf(c_153556,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ 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_146994]) ).
tcf(c_154564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X3)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X3)
| ~ b(s(s(X1)),X3)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145879]) ).
tcf(c_154668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_146534]) ).
tcf(c_154747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_147156]) ).
tcf(c_155032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_147282]) ).
tcf(c_155175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_147654]) ).
tcf(c_155303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ 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))) ),
inference(instantiation,[status(thm)],[c_147801]) ).
tcf(c_155456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_148040]) ).
tcf(c_155462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),X3)
| ~ b(X3,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),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_148085]) ).
tcf(c_155595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(X3,s(s(z)))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_148341]) ).
tcf(c_155596,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(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155595]) ).
tcf(c_156562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(X2),s(s(z)))
| ~ 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(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_150065]) ).
tcf(c_156563,plain,
( ~ b(s(z),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(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_156562]) ).
tcf(c_157210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_150982]) ).
tcf(c_157211,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)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_157210]) ).
tcf(c_157580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(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_150013]) ).
tcf(c_157593,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(z)),s(s(s(X2))))
| ~ 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_150118]) ).
tcf(c_158505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,X2)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_146151]) ).
tcf(c_158546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_147310]) ).
tcf(c_160399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(X3))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ 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(X2)))),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_144383]) ).
tcf(c_160400,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_160399]) ).
tcf(c_161301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X1)))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(s(X2)),s(X4))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_147719]) ).
tcf(c_162441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X2))))
| ~ b(X4,s(s(s(X1))))
| ~ b(X4,s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_151085]) ).
tcf(c_163178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_146644]) ).
tcf(c_163975,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_151553]) ).
tcf(c_166269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_153075]) ).
tcf(c_168437,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(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155303]) ).
tcf(c_168708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_155456]) ).
tcf(c_177914,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),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(s(z))))) ),
inference(instantiation,[status(thm)],[c_151848]) ).
tcf(c_177916,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),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(s(z))))) ),
inference(instantiation,[status(thm)],[c_151710]) ).
tcf(c_177921,plain,
! [X0: $i,X1: $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(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_145036]) ).
tcf(c_177923,plain,
! [X0: $i] :
( ~ 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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_143848]) ).
tcf(c_177924,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177923]) ).
tcf(c_177925,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177921]) ).
tcf(c_177926,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177916]) ).
tcf(c_177927,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_177914]) ).
tcf(c_178033,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(s(z)))),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_151710]) ).
tcf(c_178038,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),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)))))) ),
inference(instantiation,[status(thm)],[c_145036]) ).
tcf(c_178041,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178038]) ).
tcf(c_178042,plain,
( ~ r(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_178033]) ).
tcf(c_178067,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_151892]) ).
tcf(c_178070,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178067]) ).
tcf(c_178193,plain,
! [X0: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),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_163975]) ).
tcf(c_178194,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178193]) ).
tcf(c_178797,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),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_163178]) ).
tcf(c_178798,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_178797]) ).
tcf(c_180519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_166269]) ).
tcf(c_180520,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_180519]) ).
tcf(c_180521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_166269]) ).
tcf(c_180522,plain,
( ~ r(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_180521]) ).
tcf(c_192210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145725]) ).
tcf(c_192214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(X2))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_145087]) ).
tcf(c_192216,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X1)) ),
inference(instantiation,[status(thm)],[c_145509]) ).
tcf(c_192217,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_192216]) ).
tcf(c_192218,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192214]) ).
tcf(c_192219,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192210]) ).
tcf(c_192242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(X2,s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_144304]) ).
tcf(c_192244,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192242]) ).
tcf(c_192251,plain,
! [X0: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_153556]) ).
tcf(c_192253,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192251]) ).
tcf(c_192301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_144006]) ).
tcf(c_192303,plain,
( ~ b(z,s(z))
| ~ b(s(z),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_192301]) ).
tcf(c_192326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(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(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_139784]) ).
tcf(c_192336,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_192326]) ).
tcf(c_192348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(s(s(X1))))))
| ~ b(s(s(s(X0))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_138637]) ).
tcf(c_192349,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192348]) ).
tcf(c_192408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X2))),X1)
| ~ b(s(z),s(s(s(X2))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_155032]) ).
tcf(c_192421,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192408]) ).
tcf(c_192432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(X2)),z)
| ~ b(s(X3),s(s(X2)))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(X3),s(s(s(s(s(X1))))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_154747]) ).
tcf(c_192443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_146657]) ).
tcf(c_192447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_145658]) ).
tcf(c_192449,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X0),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_145611]) ).
tcf(c_192450,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_192449]) ).
tcf(c_192451,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_192447]) ).
tcf(c_192452,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(s(z))))))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192443]) ).
tcf(c_192455,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192432]) ).
tcf(c_192481,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_168437]) ).
tcf(c_192488,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_158546]) ).
tcf(c_192495,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192488]) ).
tcf(c_192497,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192481]) ).
tcf(c_192511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_161301]) ).
tcf(c_192524,plain,
( ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192511]) ).
tcf(c_192539,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(X2)))),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(X0)))
| ~ b(s(s(z)),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_155462]) ).
tcf(c_192540,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192539]) ).
tcf(c_192552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(z))),s(X2))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_149982]) ).
tcf(c_192568,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_145689]) ).
tcf(c_192570,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(X1))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145056]) ).
tcf(c_192571,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192570]) ).
tcf(c_192572,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_192568]) ).
tcf(c_192574,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_192552]) ).
tcf(c_192640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_162441]) ).
tcf(c_192647,plain,
( ~ 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(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_192640]) ).
tcf(c_192999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X3)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(X2))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_168708]) ).
tcf(c_193021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(X1),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_157580]) ).
tcf(c_193042,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(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193021]) ).
tcf(c_193043,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(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_192999]) ).
tcf(c_193052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(X1)),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_154564]) ).
tcf(c_193054,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(X1)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_158546]) ).
tcf(c_193061,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193054]) ).
tcf(c_193063,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193052]) ).
tcf(c_193066,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(z)))
| ~ b(s(z),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_158505]) ).
tcf(c_193073,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193066]) ).
tcf(c_193084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(X1)))),X2)
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_154668]) ).
tcf(c_193089,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193084]) ).
tcf(c_193122,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_152388]) ).
tcf(c_193124,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193122]) ).
tcf(c_193245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_150988]) ).
tcf(c_193260,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193245]) ).
tcf(c_193276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(s(X3))),s(s(X1)))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_151424]) ).
tcf(c_193282,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193276]) ).
tcf(c_193305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(s(s(X1))))),X2)
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_150562]) ).
tcf(c_193313,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193305]) ).
tcf(c_193372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_150732]) ).
tcf(c_193388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X2))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_149929]) ).
tcf(c_193396,plain,
( ~ b(z,s(z))
| ~ b(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))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193388]) ).
tcf(c_193399,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193372]) ).
tcf(c_193804,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(z)),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_157593]) ).
tcf(c_193811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_155175]) ).
tcf(c_193816,plain,
( ~ b(s(z),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_193811]) ).
tcf(c_193818,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(s(s(z))))),s(z))
| ~ b(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_193804]) ).
tcf(c_193859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X2)
| ~ b(s(X3),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_150362]) ).
tcf(c_193860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X3))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),X2)
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_150080]) ).
tcf(c_193881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(z)),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(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_139296]) ).
tcf(c_193891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_137262]) ).
tcf(c_193894,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),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(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_138874]) ).
tcf(c_193895,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_193894]) ).
tcf(c_193897,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_193891]) ).
tcf(c_193903,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_193881]) ).
tcf(c_193905,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193860]) ).
tcf(c_193906,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_193859]) ).
tcf(c_193955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(s(s(z)),X2)
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_150051]) ).
tcf(c_193959,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),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_193955]) ).
tcf(c_194076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X3)
| ~ b(s(X2),X3)
| ~ b(s(s(X0)),X3)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(s(X1))))),s(z))
| ~ b(s(s(s(s(s(X1))))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_150577]) ).
tcf(c_194081,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),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_194076]) ).
tcf(c_194592,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_194081,c_193959,c_193906,c_193905,c_193903,c_193897,c_193895,c_193818,c_193816,c_193399,c_193396,c_193313,c_193282,c_193260,c_193124,c_193089,c_193073,c_193063,c_193061,c_193043,c_193042,c_192647,c_192574,c_192572,c_192571,c_192540,c_192524,c_192497,c_192495,c_192455,c_192452,c_192451,c_192450,c_192421,c_192349,c_192336,c_192303,c_192253,c_192244,c_192219,c_192218,c_192217,c_180522,c_180520,c_178798,c_178194,c_178070,c_178042,c_178041,c_177927,c_177926,c_177925,c_177924,c_160400,c_157211,c_156563,c_155596,c_150361,c_145057,c_142640,c_140724,c_140149,c_137301,c_129425,c_128683,c_128677,c_127635,c_127607,c_125456,c_124276,c_123642,c_123583,c_123523,c_122222,c_122143,c_122021,c_121974,c_121857,c_121733,c_121731,c_118868,c_113995,c_113378,c_112999,c_109499,c_109496,c_109495,c_109494,c_109493,c_108205,c_108008,c_108007,c_107508,c_107235,c_106954,c_104738,c_104736,c_104734,c_104732,c_104728,c_104724,c_103867,c_103866,c_102442,c_102389,c_100069,c_100006,c_99878,c_99654,c_99646,c_96775,c_96742,c_96240,c_94438,c_94392,c_92581,c_92568,c_92567,c_91889,c_91692,c_91249,c_91191,c_91190,c_91156,c_91154,c_90791,c_90032,c_89838,c_89771,c_89447,c_89436,c_89381,c_88665,c_87422,c_87418,c_87417,c_87372,c_85990,c_85696,c_85297,c_85214,c_85203,c_84369,c_84358,c_84325,c_84323,c_84321,c_84300,c_84299,c_84296,c_84295,c_84263,c_84217,c_84165,c_83907,c_83868,c_83862,c_83861,c_83858,c_82277,c_82179,c_81961,c_81840,c_81838,c_80635,c_80618,c_80616,c_80024,c_78807,c_77770,c_77019,c_76956,c_74660,c_74626,c_74609,c_74474,c_74129,c_73181,c_72695,c_72649,c_72473,c_72460,c_72313,c_71177,c_65531,c_65506,c_64754,c_64734,c_64260,c_64258,c_63975,c_63656,c_61972,c_61969,c_61028,c_60848,c_60775,c_60745,c_60740,c_60669,c_60654,c_60652,c_60603,c_60601,c_58337,c_57959,c_57224,c_56111,c_55535,c_54429,c_53641,c_53637,c_53634,c_53340,c_52960,c_52084,c_52073,c_51362,c_50773,c_49946,c_49899,c_49725,c_49203,c_48379,c_48177,c_48175,c_48011,c_47907,c_47892,c_46561,c_46377,c_46067,c_45096,c_45032,c_43677,c_43264,c_43165,c_42427,c_41076,c_40588,c_40554,c_39223,c_37488,c_37481,c_37466,c_37318,c_36362,c_36337,c_35521,c_35506,c_35472,c_34352,c_30304,c_30303,c_30292,c_30258,c_30197,c_30178,c_30095,c_29967,c_29942,c_22368,c_21861,c_21860,c_19382,c_19255,c_19088,c_19082,c_18343,c_18340,c_17894,c_17651,c_17410,c_15874,c_15405,c_15182,c_14517,c_13121,c_13080,c_12694,c_12573,c_12541,c_12540,c_12222,c_12182,c_12180,c_12124,c_11332,c_11122,c_11016,c_10955,c_8790,c_8275,c_8193,c_8132,c_8126,c_7713,c_7689,c_7423,c_7402,c_6779,c_6679,c_6514,c_6513,c_6512,c_6477,c_6045,c_5946,c_5751,c_5071,c_5052,c_4557,c_4363,c_4337,c_4326,c_3984,c_3508,c_3493,c_3482,c_3448,c_2885,c_2817,c_2809,c_2800,c_2795,c_2396,c_2394,c_2333,c_2315,c_2311,c_2307,c_2306,c_2304,c_1996,c_1860,c_1831,c_1481,c_1473,c_1231,c_725,c_692,c_549,c_530,c_422,c_383,c_373,c_370,c_286,c_229,c_166,c_150,c_144,c_108,c_100,c_91,c_81,c_79,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA131-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:56:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 64.82/12.40 % SZS status Started for theBenchmark.p
% 64.82/12.40 % SZS status Unsatisfiable for theBenchmark.p
% 64.82/12.40
% 64.82/12.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 64.82/12.40
% 64.82/12.40 % ------ iProver source info
% 64.82/12.40
% 64.82/12.40 % git: date: 2026-07-19 20:42:38 +0200
% 64.82/12.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 64.82/12.40 % git: non_committed_changes: false
% 64.82/12.40
% 64.82/12.40 % ------ Parsing...% successful
% 64.82/12.40
% 64.82/12.40
% 64.82/12.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 64.82/12.40
% 64.82/12.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 64.82/12.40
% 64.82/12.40 % ------ Preprocessing...%
% 64.82/12.40
% 64.82/12.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 64.82/12.40 % ------ Proving...
% 64.82/12.40 % ------ Problem Properties
% 64.82/12.40
% 64.82/12.40 %
% 64.82/12.40 % clauses 7
% 64.82/12.40 % conjectures 0
% 64.82/12.40 % EPR 5
% 64.82/12.40 % Horn 6
% 64.82/12.40 % unary 3
% 64.82/12.40 % binary 1
% 64.82/12.40 % lits 19
% 64.82/12.40 % lits eq 4
% 64.82/12.40 % fd_pure 0
% 64.82/12.40 % fd_pseudo 0
% 64.82/12.40 % fd_cond 0
% 64.82/12.40 % fd_pseudo_cond 2
% 64.82/12.40 % AC symbols 0
% 64.82/12.40
% 64.82/12.40 % ------ Input Options Time Limit: Unbounded
% 64.82/12.40
% 64.82/12.40
% 64.82/12.40 % ------
% 64.82/12.40 % Current options:
% 64.82/12.40 % ------
% 64.82/12.40
% 64.82/12.40
% 64.82/12.40 %
% 64.82/12.40
% 64.82/12.40 % ------ Proving...
% 64.82/12.40 %
% 64.82/12.40
% 64.82/12.40 % SZS status Unsatisfiable for theBenchmark.p
% 64.82/12.40
% 64.82/12.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 64.82/12.44
% 64.82/12.44
%------------------------------------------------------------------------------