%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA141-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:24:02 PM UTC 2026
% Result : Unsatisfiable 86.57s 14.45s
% Output : CNFRefutation 86.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 1663 ( 35 unt; 0 def)
% Number of atoms : 7302 ( 332 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 12386 (6747 ~;5639 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 3627 ( 0 sgn3627 !; 0 ?;3611 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : s(X0) != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
| s(X0) != s(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
fof(f3,axiom,
! [X0] : ~ r(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
fof(f4,axiom,
! [X0] : ~ b(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
fof(f5,axiom,
! [X0,X1] :
( b(X0,X1)
| r(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X0,X3)
| ~ b(X1,X2)
| ~ b(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
tcf(c_56,plain,
! [X0: $i] : s(X0) != z,
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0) != s(X1) ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i] : ~ r(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i] : ~ b(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( b(X0,X1)
| r(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X4)
| ~ b(X2,X4)
| ~ b(X1,X3)
| ~ b(X1,X2)
| ~ b(X0,X2)
| ~ b(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
s(z) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_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(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(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_147,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X1,X2)
| r(X1,X2)
| ( X2 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_135,c_73]) ).
tcf(c_149,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_150,plain,
( b(s(s(z)),s(z))
| r(s(s(z)),s(z))
| ( s(s(z)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_155,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_166,plain,
( ( z = s(z) )
| ( s(z) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_204,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_205,plain,
( b(s(z),s(s(z)))
| r(s(z),s(s(z)))
| ( s(z) = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_253,plain,
! [X0: $i] : ~ r(s(s(X0)),s(s(X0))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_255,plain,
~ r(s(s(z)),s(s(z))),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_266,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_267,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_278,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X0),z)
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r(z,s(X1))
| ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_62,c_143]) ).
tcf(c_372,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_374,plain,
s(s(z)) = s(s(z)),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(X1)))
| r(s(X0),s(s(X1)))
| ( s(X0) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_211]) ).
tcf(c_390,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_391,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_393,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_225]) ).
tcf(c_394,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_393]) ).
tcf(c_512,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_513,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_515,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),z)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_228]) ).
tcf(c_516,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_515]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_298]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),X2)
| ~ r(z,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_300]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(X0)),z)
| ~ r(X1,s(s(X0)))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1)
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_585,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_586,plain,
( b(s(s(z)),z)
| r(s(s(z)),z)
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_590,plain,
! [X0: $i] :
( b(z,s(s(X0)))
| r(z,s(s(X0)))
| ( z = s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_591,plain,
( b(z,s(s(z)))
| r(z,s(s(z)))
| ( z = s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_590]) ).
tcf(c_632,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_266,c_57]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(X1),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_571]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X0),X3)
| ~ r(X3,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_300]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(z,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X0)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_573]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(X1),z)
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X2,s(X0))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_732,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_731]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(s(X1),s(X2))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),X2)
| ~ r(s(z),s(X1))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_742,plain,
! [X0: $i] : s(s(X0)) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_743,plain,
s(s(z)) != z,
inference(instantiation,[status(thm)],[c_742]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_755,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_557]) ).
tcf(c_766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_659]) ).
tcf(c_784,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_785,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = z )
| ( z != X1 )
| ( s(s(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X0,s(X2))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_725]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),X1)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(z,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X2,s(X0))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_835,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_155]) ).
tcf(c_837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_731]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_739]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X0)))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(X0)))
| ~ r(s(X1),s(s(X2)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_730]) ).
tcf(c_852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(X3))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(X3)))
| ~ r(s(s(X0)),s(X2))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_703]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_722]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_567]) ).
tcf(c_901,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_1092,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( z != s(s(X0)) )
| ( s(s(X0)) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_1093,plain,
( ( s(s(z)) = z )
| ( z != s(s(z)) )
| ( s(s(z)) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1092]) ).
tcf(c_1097,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(X1),z)
| ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(s(X1),z)
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_813]) ).
tcf(c_1107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(X1))
| ~ b(s(X2),z)
| ~ b(X3,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_817]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_766]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(X3))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_1137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_753]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),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_665]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_665]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_843]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(X0),z)
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(X0))
| ~ b(s(X2),X3)
| ~ b(s(X1),X3)
| ~ b(s(X0),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(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_850]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_850]) ).
tcf(c_1292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_850]) ).
tcf(c_1293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_850]) ).
tcf(c_1307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ 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_859]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_869]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(X1),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(X1),X3)
| ~ b(s(X1),X2)
| ~ b(s(X0),X2)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X1))
| ~ b(X4,s(X0))
| ~ b(X3,s(X2))
| ~ b(s(X0),X3)
| ~ b(s(X1),s(X2))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_1355,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1210]) ).
tcf(c_1356,plain,
( ( s(s(z)) = s(z) )
| ( s(s(s(z))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_1355]) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_1210]) ).
tcf(c_1363,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_1210]) ).
tcf(c_1364,plain,
( ( s(z) = s(s(z)) )
| ( s(s(z)) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_1363]) ).
tcf(c_1379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_1488,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_267,c_57]) ).
tcf(c_1637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X1))
| ~ b(s(X3),z)
| ~ b(s(X2),z)
| ~ b(s(X3),s(X0))
| ~ b(s(X2),s(X3))
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_1692,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_835]) ).
tcf(c_1693,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_1692]) ).
tcf(c_1707,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_835]) ).
tcf(c_1708,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_1707]) ).
tcf(c_1727,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_835]) ).
tcf(c_1816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1104]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_1833,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_1837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X1))
| ~ b(s(X1),X3)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1327]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(X1))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1320]) ).
tcf(c_1852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_1854,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_1848]) ).
tcf(c_1863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X1)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1282]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1324]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1320]) ).
tcf(c_2049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(s(X0)))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_2058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(z,s(s(X0)))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1281]) ).
tcf(c_2059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),z)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1106]) ).
tcf(c_2120,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_632,c_56]) ).
tcf(c_2121,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_632,c_57]) ).
tcf(c_2123,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_632,c_129]) ).
tcf(c_2124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X2),X3)
| b(s(X1),X3)
| r(s(X2),X3)
| r(s(X1),X3)
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_632,c_147]) ).
tcf(c_2165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(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_1289]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),X3)
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1266]) ).
tcf(c_2171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1242]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1137]) ).
tcf(c_2178,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ 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_1233]) ).
tcf(c_2180,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1097]) ).
tcf(c_2184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_854]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(s(X1)),s(X3))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_852]) ).
tcf(c_2189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_855]) ).
tcf(c_2191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),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_841]) ).
tcf(c_2193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_755]) ).
tcf(c_2194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),X2)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_754]) ).
tcf(c_2195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_723]) ).
tcf(c_2196,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2200,plain,
( ~ r(s(s(z)),z)
| ~ 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_2191]) ).
tcf(c_2208,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(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1292]) ).
tcf(c_2210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1293]) ).
tcf(c_2211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1290]) ).
tcf(c_2212,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_2250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1237]) ).
tcf(c_2252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),z)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_900]) ).
tcf(c_2257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1109]) ).
tcf(c_2259,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_898]) ).
tcf(c_2268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_853]) ).
tcf(c_2270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_837]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_755]) ).
tcf(c_2272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_754]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X0)))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_723]) ).
tcf(c_2274,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2273]) ).
tcf(c_2275,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2272]) ).
tcf(c_2276,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2271]) ).
tcf(c_2277,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2270]) ).
tcf(c_2279,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2268]) ).
tcf(c_2281,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2257]) ).
tcf(c_2287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(X3))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1307]) ).
tcf(c_2288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1292]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X2)))
| ~ r(z,s(s(X0)))
| ~ r(s(s(X2)),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1293]) ).
tcf(c_2302,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_2120,c_59]) ).
tcf(c_2303,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_2302]) ).
tcf(c_2763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1))
| ~ r(s(s(z)),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_733]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(s(z)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),X1) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_2804,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_585]) ).
tcf(c_2805,plain,
( b(s(s(s(z))),z)
| r(s(s(s(z))),z)
| ( s(s(s(z))) = z ) ),
inference(instantiation,[status(thm)],[c_2804]) ).
tcf(c_2806,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_204]) ).
tcf(c_2807,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_2806]) ).
tcf(c_2809,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_2810,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_2809]) ).
tcf(c_2821,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_590]) ).
tcf(c_2822,plain,
( b(z,s(s(s(z))))
| r(z,s(s(s(z))))
| ( z = s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_2821]) ).
tcf(c_3072,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_2290]) ).
tcf(c_3073,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2290]) ).
tcf(c_3075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(X1)))
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2290]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(X1))))
| r(s(X0),s(s(s(X1))))
| ( s(X0) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_379]) ).
tcf(c_3097,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_1727]) ).
tcf(c_3111,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_155]) ).
tcf(c_3170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2167]) ).
tcf(c_3173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_2167]) ).
tcf(c_3189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2184]) ).
tcf(c_3198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2185]) ).
tcf(c_3226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X2)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2208]) ).
tcf(c_3314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2287]) ).
tcf(c_3322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(z)))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2288]) ).
tcf(c_3323,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(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2288]) ).
tcf(c_3495,plain,
! [X0: $i] : s(s(s(X0))) != z,
inference(instantiation,[status(thm)],[c_742]) ).
tcf(c_3496,plain,
s(s(s(z))) != z,
inference(instantiation,[status(thm)],[c_3495]) ).
tcf(c_3537,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_3538,plain,
( ( s(s(s(z))) = z )
| ( z != s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3537]) ).
tcf(c_3563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(s(s(X0))) = X2 )
| ( X2 != X1 )
| ( s(s(s(X0))) != X1 ) ),
inference(instantiation,[status(thm)],[c_784]) ).
tcf(c_3588,plain,
! [X0: $i] :
( ( z = s(s(X0)) )
| ( s(z) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_3589,plain,
( ( z = s(s(z)) )
| ( s(z) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3588]) ).
tcf(c_3609,plain,
! [X0: $i] :
( ( s(s(X0)) = z )
| ( s(s(s(X0))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_3610,plain,
( ( s(s(z)) = z )
| ( s(s(s(z))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3609]) ).
tcf(c_3785,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = X1 )
| ( s(s(s(X0))) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_3871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_2763]) ).
tcf(c_3905,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_1357]) ).
tcf(c_3962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3170]) ).
tcf(c_3974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3189]) ).
tcf(c_3980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),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_3198]) ).
tcf(c_3993,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(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3226]) ).
tcf(c_4052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X0)),X2)
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2767]) ).
tcf(c_4096,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),X2)
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3173]) ).
tcf(c_4192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3314]) ).
tcf(c_4207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_3323]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(X2),z)
| ~ b(X1,s(X2))
| ~ b(s(s(X0)),z)
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1104]) ).
tcf(c_4269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X2,X1)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_4282,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(X1),z)
| ~ b(z,s(s(X0)))
| ~ b(s(z),s(X1))
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),X2)
| ~ b(s(X1),X2)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1279]) ).
tcf(c_4340,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(X1))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_1102]) ).
tcf(c_4342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_4343,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_4340]) ).
tcf(c_4353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(s(z),X2)
| ~ b(s(X1),X2)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1281]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(X1),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_4356,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_4355]) ).
tcf(c_4357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(z),s(X2))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1637]) ).
tcf(c_4358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X2,s(X0))
| ~ b(s(X0),X3)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1327]) ).
tcf(c_4409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X2),z)
| ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1102]) ).
tcf(c_4433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),X2)
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(X1),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1863]) ).
tcf(c_4434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(s(X2),X1)
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1852]) ).
tcf(c_4458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2058]) ).
tcf(c_4499,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_1488,c_56]) ).
tcf(c_4639,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(X1),z)
| ~ b(z,s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_1105]) ).
tcf(c_4640,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_4639]) ).
tcf(c_4955,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_3905]) ).
tcf(c_4956,plain,
( ( s(s(s(z))) = s(s(z)) )
| ( s(s(s(s(z)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_4955]) ).
tcf(c_4961,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_3905]) ).
tcf(c_4966,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_3905]) ).
tcf(c_4967,plain,
( ( s(s(z)) = s(s(s(z))) )
| ( s(s(s(z))) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_4966]) ).
tcf(c_5144,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0))) = X1 )
| ( X1 != s(s(s(X0))) )
| ( s(s(s(X0))) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_3563]) ).
tcf(c_5145,plain,
! [X0: $i] : s(s(s(X0))) = s(s(s(X0))),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_5146,plain,
s(s(s(z))) = s(s(s(z))),
inference(instantiation,[status(thm)],[c_5145]) ).
tcf(c_5505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4192]) ).
tcf(c_5508,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(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4207]) ).
tcf(c_5747,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_4499,c_59]) ).
tcf(c_5748,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_5747]) ).
tcf(c_5865,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_3097]) ).
tcf(c_5866,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_5865]) ).
tcf(c_5903,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_3097]) ).
tcf(c_5904,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_5903]) ).
tcf(c_5998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_753]) ).
tcf(c_6055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_6193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_648]) ).
tcf(c_6253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4337]) ).
tcf(c_6254,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_6253]) ).
tcf(c_6601,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_393]) ).
tcf(c_6602,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6601]) ).
tcf(c_6605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(z,s(s(X2)))
| ~ r(s(s(s(X1))),z)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_1379]) ).
tcf(c_6607,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6605]) ).
tcf(c_6626,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_1833]) ).
tcf(c_6627,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6626]) ).
tcf(c_6650,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(X0)))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4282]) ).
tcf(c_6651,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_6650]) ).
tcf(c_6687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4052]) ).
tcf(c_6739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(s(s(X2)),z)
| ~ b(s(s(X0)),z)
| ~ b(X1,s(s(X2)))
| ~ b(X1,s(s(X0)))
| ~ b(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_6763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),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_567]) ).
tcf(c_7017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_659]) ).
tcf(c_7041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(z),s(s(X2)))
| ~ 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_4353]) ).
tcf(c_7042,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_7041]) ).
tcf(c_7053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(z),s(X2))
| ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_4357]) ).
tcf(c_7056,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X2)))
| ~ b(z,s(s(X1)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_4409]) ).
tcf(c_7126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X0)),X2)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_4269]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4342]) ).
tcf(c_7449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_4358]) ).
tcf(c_7864,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3993]) ).
tcf(c_7866,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3980]) ).
tcf(c_7867,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3974]) ).
tcf(c_7869,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3962]) ).
tcf(c_7876,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_3322]) ).
tcf(c_7879,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7876]) ).
tcf(c_7882,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7869]) ).
tcf(c_7884,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7867]) ).
tcf(c_7885,plain,
( ~ r(s(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_7866]) ).
tcf(c_7887,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7864]) ).
tcf(c_7890,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5508]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_5505]) ).
tcf(c_7892,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7891]) ).
tcf(c_7893,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7890]) ).
tcf(c_8193,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3980]) ).
tcf(c_8194,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3974]) ).
tcf(c_8199,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4096]) ).
tcf(c_8203,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3322]) ).
tcf(c_8206,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8203]) ).
tcf(c_8208,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8199]) ).
tcf(c_8211,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8194]) ).
tcf(c_8212,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8193]) ).
tcf(c_8316,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_6763]) ).
tcf(c_8317,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8316]) ).
tcf(c_8325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_6055]) ).
tcf(c_8788,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(X1)))
| ~ r(s(s(X0)),z)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_6193]) ).
tcf(c_8789,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z)) ),
inference(instantiation,[status(thm)],[c_8788]) ).
tcf(c_8822,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),X1)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_7017]) ).
tcf(c_8823,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8822]) ).
tcf(c_8945,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_8946,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8945]) ).
tcf(c_8947,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2175]) ).
tcf(c_8948,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8947]) ).
tcf(c_8953,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
tcf(c_8954,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8953]) ).
tcf(c_8961,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2193]) ).
tcf(c_8962,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8961]) ).
tcf(c_8963,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2193]) ).
tcf(c_8964,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8963]) ).
tcf(c_8969,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),X1)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2194]) ).
tcf(c_8970,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8969]) ).
tcf(c_8971,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_2194]) ).
tcf(c_8972,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_8971]) ).
tcf(c_8977,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(X1)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_2210]) ).
tcf(c_8978,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_8977]) ).
tcf(c_8985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_6739]) ).
tcf(c_9016,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X0))))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3075]) ).
tcf(c_9017,plain,
( ~ r(z,s(s(s(z))))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9016]) ).
tcf(c_9780,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(X1,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(X1,s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1816]) ).
tcf(c_9829,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ 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_2171]) ).
tcf(c_9876,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_6687]) ).
tcf(c_9877,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9876]) ).
tcf(c_9878,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6687]) ).
tcf(c_9879,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_9878]) ).
tcf(c_9960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_7449]) ).
tcf(c_9961,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_9960]) ).
tcf(c_10034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_7126]) ).
tcf(c_10035,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_10034]) ).
tcf(c_10107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_7434]) ).
tcf(c_10108,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_10107]) ).
tcf(c_10153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1863]) ).
tcf(c_10154,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10153]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4433]) ).
tcf(c_10193,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10192]) ).
tcf(c_10354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1819]) ).
tcf(c_10367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_1837]) ).
tcf(c_10445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(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_2059]) ).
tcf(c_10459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(X1))
| ~ b(X2,s(s(z)))
| ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_4434]) ).
tcf(c_10460,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(z)))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10459]) ).
tcf(c_10758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2040]) ).
tcf(c_10789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(z)))
| ~ b(X2,s(s(z)))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2049]) ).
tcf(c_10988,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(X1))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_8325]) ).
tcf(c_10989,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_10988]) ).
tcf(c_11059,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_2804]) ).
tcf(c_11060,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_11059]) ).
tcf(c_11063,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_2821]) ).
tcf(c_11064,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_11063]) ).
tcf(c_11184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_8985]) ).
tcf(c_11481,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_2809]) ).
tcf(c_11483,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9829]) ).
tcf(c_11484,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_11481]) ).
tcf(c_11485,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11483]) ).
tcf(c_11749,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))) ),
inference(instantiation,[status(thm)],[c_10459]) ).
tcf(c_11750,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_11749]) ).
tcf(c_11850,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_3111]) ).
tcf(c_11853,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9878]) ).
tcf(c_11854,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_9876]) ).
tcf(c_11857,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11854]) ).
tcf(c_11858,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_11853]) ).
tcf(c_12518,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_9780]) ).
tcf(c_12519,plain,
( ~ b(s(s(z)),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_12518]) ).
tcf(c_12885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),s(X2))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_3314]) ).
tcf(c_12886,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13477,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_13478,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_13477]) ).
tcf(c_13862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_4458]) ).
tcf(c_13865,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_13862]) ).
tcf(c_14297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_14300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),X2)
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_843]) ).
tcf(c_14302,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_14300]) ).
tcf(c_14303,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14297]) ).
tcf(c_14306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_2165]) ).
tcf(c_14307,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_14306]) ).
tcf(c_14309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_5998]) ).
tcf(c_14358,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(s(X1)))))
| r(s(X0),s(s(s(s(X1)))))
| ( s(X0) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_3094]) ).
tcf(c_14359,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_14358]) ).
tcf(c_14590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_6055]) ).
tcf(c_14736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_731]) ).
tcf(c_14743,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_14736]) ).
tcf(c_14758,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_849]) ).
tcf(c_14762,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2178]) ).
tcf(c_14766,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(z)))
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_14758]) ).
tcf(c_15306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(z)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(s(X2))),X3)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10789]) ).
tcf(c_15307,plain,
( ~ b(z,s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_15306]) ).
tcf(c_15475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X3))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10367]) ).
tcf(c_15770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_10758]) ).
tcf(c_16583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2043]) ).
tcf(c_16588,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_16583]) ).
tcf(c_16623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_7053]) ).
tcf(c_16628,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_2045]) ).
tcf(c_16657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(X1)))
| ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_7056]) ).
tcf(c_16690,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_14597]) ).
tcf(c_16691,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16690]) ).
tcf(c_16714,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_515]) ).
tcf(c_16715,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_16725,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_16715]) ).
tcf(c_16726,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16714]) ).
tcf(c_16733,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2180]) ).
tcf(c_16746,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16733]) ).
tcf(c_16754,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_6601]) ).
tcf(c_16755,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16754]) ).
tcf(c_16760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2250]) ).
tcf(c_16767,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_16760]) ).
tcf(c_16784,plain,
! [X0: $i] :
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_13477]) ).
tcf(c_16785,plain,
( ~ r(z,s(z))
| ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_16784]) ).
tcf(c_17365,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_1707]) ).
tcf(c_17366,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_17365]) ).
tcf(c_17385,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_3072]) ).
tcf(c_17386,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_17385]) ).
tcf(c_17460,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_3073]) ).
tcf(c_17461,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_17460]) ).
tcf(c_17519,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X0)))
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2259]) ).
tcf(c_17520,plain,
( ~ r(z,s(s(z)))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17519]) ).
tcf(c_17960,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_14762]) ).
tcf(c_17961,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_17960]) ).
tcf(c_18385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X1)
| ~ r(X1,s(X3))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),X1) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_18481,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(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_3871]) ).
tcf(c_18568,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_4961]) ).
tcf(c_18629,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(X0)))),s(s(X1)))
| r(s(s(s(s(X0)))),s(s(X1)))
| ( s(s(s(s(X0)))) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_11850]) ).
tcf(c_18666,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_18629]) ).
tcf(c_18982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_14309]) ).
tcf(c_18983,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_18982]) ).
tcf(c_19125,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_14736]) ).
tcf(c_19126,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_19125]) ).
tcf(c_19129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_14736]) ).
tcf(c_19334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_2252]) ).
tcf(c_19335,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_19334]) ).
tcf(c_20410,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_11184]) ).
tcf(c_20994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_14590]) ).
tcf(c_21078,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15770]) ).
tcf(c_21079,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21078]) ).
tcf(c_21384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_10354]) ).
tcf(c_21385,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_21384]) ).
tcf(c_21491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(s(z))),z)
| ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_10445]) ).
tcf(c_21713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_15475]) ).
tcf(c_21714,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21713]) ).
tcf(c_22596,plain,
! [X0: $i] : s(s(s(s(X0)))) != z,
inference(instantiation,[status(thm)],[c_3495]) ).
tcf(c_22597,plain,
s(s(s(s(z)))) != z,
inference(instantiation,[status(thm)],[c_22596]) ).
tcf(c_22609,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( z != s(s(s(s(X0)))) )
| ( s(s(s(s(X0)))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_5144]) ).
tcf(c_22610,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_22609]) ).
tcf(c_23696,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_18568]) ).
tcf(c_23697,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_23696]) ).
tcf(c_23704,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_18568]) ).
tcf(c_23705,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_23704]) ).
tcf(c_24079,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_16628]) ).
tcf(c_24080,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_24079]) ).
tcf(c_24081,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_16628]) ).
tcf(c_24082,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_24081]) ).
tcf(c_25411,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_18481]) ).
tcf(c_25412,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25411]) ).
tcf(c_25840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(X2))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_19129]) ).
tcf(c_25841,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_25840]) ).
tcf(c_26263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16657]) ).
tcf(c_26264,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_26263]) ).
tcf(c_26766,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(X1,s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_21491]) ).
tcf(c_26767,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_26766]) ).
tcf(c_27476,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_2121,c_56]) ).
tcf(c_27662,plain,
! [X0: $i] :
( ( s(s(s(X0))) = z )
| ( s(s(s(s(X0)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_3785]) ).
tcf(c_27666,plain,
( ( s(s(s(z))) = z )
| ( s(s(s(s(z)))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_27662]) ).
tcf(c_27877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_16623]) ).
tcf(c_27880,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_27877]) ).
tcf(c_27945,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| ~ b(X1,z)
| ~ b(X0,z)
| ~ b(X0,X1) ),
inference(resolution,[status(thm)],[c_325,c_143]) ).
tcf(c_28260,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(z,s(X2))
| r(s(X1),z)
| ~ b(X0,z)
| ~ b(X0,s(X1)) ),
inference(resolution,[status(thm)],[c_27945,c_107]) ).
tcf(c_28291,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_20410]) ).
tcf(c_28292,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_28291]) ).
tcf(c_28320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_18385]) ).
tcf(c_28321,plain,
( ~ r(z,s(z))
| ~ 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_28320]) ).
tcf(c_28774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_20994]) ).
tcf(c_28775,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_28774]) ).
tcf(c_28991,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( s(s(X0)) != s(z) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_28992,plain,
! [X0: $i] :
( b(s(X0),z)
| r(s(X0),z)
| ( s(X0) = z ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_28993,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = z )
| ( z != X1 )
| ( s(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_29055,plain,
! [X0: $i] :
( b(s(s(X0)),s(z))
| r(s(s(X0)),s(z))
| ( s(s(X0)) = s(z) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_29056,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_29058,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_29059,plain,
! [X0: $i,X1: $i] :
( b(s(X0),X1)
| r(s(X0),X1)
| ( s(X0) = X1 ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_29060,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = X1 )
| ( s(s(X0)) != s(X1) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_29061,plain,
! [X0: $i] :
( ( s(X0) = z )
| ( z != s(X0) )
| ( s(X0) != s(X0) ) ),
inference(instantiation,[status(thm)],[c_28993]) ).
tcf(c_29062,plain,
! [X0: $i] : s(X0) = s(X0),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_29068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29080,plain,
! [X0: $i] :
( ( z = s(X0) )
| ( s(z) != s(s(X0)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_29083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_29091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29058]) ).
tcf(c_29095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_29102,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(X1))
| r(s(X0),s(X1))
| ( s(X0) = s(X1) ) ),
inference(instantiation,[status(thm)],[c_29059]) ).
tcf(c_29103,plain,
! [X0: $i,X1: $i] :
( b(X0,s(X1))
| r(X0,s(X1))
| ( X0 = s(X1) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_29109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29083]) ).
tcf(c_29117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_29095]) ).
tcf(c_29124,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_29102]) ).
tcf(c_29126,plain,
! [X0: $i] :
( b(s(z),s(X0))
| r(s(z),s(X0))
| ( s(z) = s(X0) ) ),
inference(instantiation,[status(thm)],[c_29102]) ).
tcf(c_29130,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(X1)))
| r(s(X0),s(s(X1)))
| ( s(X0) = s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_29102]) ).
tcf(c_29132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29083]) ).
tcf(c_29133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_29134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29058]) ).
tcf(c_29153,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_29126]) ).
tcf(c_29169,plain,
! [X0: $i] : s(s(X0)) = s(s(X0)),
inference(instantiation,[status(thm)],[c_29062]) ).
tcf(c_29170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29117]) ).
tcf(c_29180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29181,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_29124]) ).
tcf(c_29182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29068]) ).
tcf(c_29197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ 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_29068]) ).
tcf(c_29211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29133]) ).
tcf(c_29212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_29133]) ).
tcf(c_29227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29212]) ).
tcf(c_29228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_29212]) ).
tcf(c_29262,plain,
! [X0: $i,X1: $i] :
( ( s(X0) = s(X1) )
| ( s(s(X0)) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_29060]) ).
tcf(c_29263,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_29181]) ).
tcf(c_29306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29182]) ).
tcf(c_29309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29198]) ).
tcf(c_29314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_29180]) ).
tcf(c_29317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29197]) ).
tcf(c_29318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29197]) ).
tcf(c_29322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(s(X0))))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29211]) ).
tcf(c_29323,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_29324,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(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29132]) ).
tcf(c_29325,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29134]) ).
tcf(c_29326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29109]) ).
tcf(c_29330,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(X1,s(s(z)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29091]) ).
tcf(c_29332,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29323]) ).
tcf(c_29359,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(X1) )
| ( s(s(s(X0))) != s(s(X1)) ) ),
inference(instantiation,[status(thm)],[c_29262]) ).
tcf(c_29363,plain,
! [X0: $i] :
( ( s(z) = s(s(X0)) )
| ( s(s(z)) != s(s(s(X0))) ) ),
inference(instantiation,[status(thm)],[c_29262]) ).
tcf(c_29428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_29432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(z)),X1)
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29228]) ).
tcf(c_29435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29317]) ).
tcf(c_29438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_29314]) ).
tcf(c_29442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_29318]) ).
tcf(c_29444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X2))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_29318]) ).
tcf(c_29449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X0))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29309]) ).
tcf(c_29468,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_29103]) ).
tcf(c_29497,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_29181]) ).
tcf(c_29573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29449]) ).
tcf(c_29577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29435]) ).
tcf(c_29584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29438]) ).
tcf(c_29599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29442]) ).
tcf(c_29600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X2),s(s(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_29442]) ).
tcf(c_29606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X1)))
| ~ b(s(X4),s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29444]) ).
tcf(c_29626,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_29627,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29132]) ).
tcf(c_29635,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(z))),z)
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29626]) ).
tcf(c_29643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),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_29432]) ).
tcf(c_29644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,z)
| ~ b(X3,X2)
| ~ b(X2,s(X0))
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29197]) ).
tcf(c_29649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X2,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29180]) ).
tcf(c_29650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X1)
| ~ b(X2,z)
| ~ b(X2,X1)
| ~ b(X1,s(z))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_29068]) ).
tcf(c_29651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(s(s(X1))),z)
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X1),z)
| ~ b(s(s(s(X0))),z)
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29314]) ).
tcf(c_29658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_29314]) ).
tcf(c_29701,plain,
! [X0: $i] : ~ r(s(s(s(X0))),s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_29702,plain,
~ r(s(s(s(z))),s(s(s(z)))),
inference(instantiation,[status(thm)],[c_29701]) ).
tcf(c_29706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29228]) ).
tcf(c_29708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_29709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29132]) ).
tcf(c_29710,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29134]) ).
tcf(c_29711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29109]) ).
tcf(c_29715,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29091]) ).
tcf(c_29718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_29720,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_29497]) ).
tcf(c_29721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29428]) ).
tcf(c_29798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29228]) ).
tcf(c_29799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29211]) ).
tcf(c_29800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X0)),z)
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_29801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X0)))
| ~ r(X3,s(s(s(X1))))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29132]) ).
tcf(c_29810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_29812,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29428]) ).
tcf(c_29861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X0)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X2,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29318]) ).
tcf(c_29865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29314]) ).
tcf(c_29873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X1))))
| ~ 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_29309]) ).
tcf(c_30094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29799]) ).
tcf(c_30096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29799]) ).
tcf(c_30129,plain,
! [X0: $i] :
( b(s(s(X0)),z)
| r(s(s(X0)),z)
| ( s(s(X0)) = z ) ),
inference(instantiation,[status(thm)],[c_28992]) ).
tcf(c_30148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(z)))
| ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29627]) ).
tcf(c_30199,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0)) = s(s(X1)) )
| ( s(s(s(X0))) != s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_29359]) ).
tcf(c_30253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(s(s(X1))))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_29650]) ).
tcf(c_30290,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ 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_29812]) ).
tcf(c_30306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X1)),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_29709]) ).
tcf(c_30322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),s(X3))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29718]) ).
tcf(c_30350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29810]) ).
tcf(c_30351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29810]) ).
tcf(c_30352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(X2,s(X0))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X2)
| ~ b(z,s(s(s(X1))))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29647]) ).
tcf(c_30355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29649]) ).
tcf(c_30360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29653]) ).
tcf(c_30375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X0)
| ~ b(s(s(z)),z)
| ~ b(X2,s(s(z)))
| ~ b(s(s(z)),X0)
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29644]) ).
tcf(c_30376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(X3,s(s(s(X0))))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_29644]) ).
tcf(c_30383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X3,s(s(s(X2))))
| ~ b(X0,s(s(s(X2))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29651]) ).
tcf(c_30392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29861]) ).
tcf(c_30393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29861]) ).
tcf(c_30395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29861]) ).
tcf(c_30398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29861]) ).
tcf(c_30404,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_29153]) ).
tcf(c_30405,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(X1))))
| r(s(X0),s(s(s(X1))))
| ( s(X0) = s(s(s(X1))) ) ),
inference(instantiation,[status(thm)],[c_29130]) ).
tcf(c_30419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29658]) ).
tcf(c_30422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),X3)
| ~ b(s(s(z)),X3)
| ~ b(s(s(z)),s(X2))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29658]) ).
tcf(c_30423,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_29055]) ).
tcf(c_30478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,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_30481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(s(X2)),z)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X0)
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29644]) ).
tcf(c_30565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(z))
| ~ r(X1,s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29211]) ).
tcf(c_30576,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29810]) ).
tcf(c_30577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(X1))
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_30579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29709]) ).
tcf(c_30582,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29428]) ).
tcf(c_30594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_29228]) ).
tcf(c_30598,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(X1,s(z))
| ~ r(X1,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_29134]) ).
tcf(c_30607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X0))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_30610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ 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_29706]) ).
tcf(c_30651,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(s(z)) )
| ( s(s(s(s(X0)))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_30199]) ).
tcf(c_30656,plain,
! [X0: $i] :
( ( s(s(z)) = s(s(s(X0))) )
| ( s(s(s(z))) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_30199]) ).
tcf(c_30696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_30699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X4,s(s(s(X0))))
| ~ b(X2,s(s(s(X3))))
| ~ b(X1,s(s(s(X3))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_29861]) ).
tcf(c_30701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29318]) ).
tcf(c_30734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X0),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29228]) ).
tcf(c_30735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29211]) ).
tcf(c_30748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29227]) ).
tcf(c_30756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(X2))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29718]) ).
tcf(c_30760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(s(s(X1))),X3)
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29801]) ).
tcf(c_30785,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30094]) ).
tcf(c_30794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),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_30148]) ).
tcf(c_30840,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| r(s(X1),s(X1))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_2123,c_59]) ).
tcf(c_30998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29211]) ).
tcf(c_30999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29170]) ).
tcf(c_31001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29134]) ).
tcf(c_31017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),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_29706]) ).
tcf(c_31053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30352]) ).
tcf(c_31068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X0)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),X0)
| ~ b(z,s(s(s(X1))))
| ~ b(s(X2),s(s(z)))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30375]) ).
tcf(c_31074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30096]) ).
tcf(c_31075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30096]) ).
tcf(c_31087,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(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30350]) ).
tcf(c_31089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30350]) ).
tcf(c_31143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),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_30306]) ).
tcf(c_31159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(X3)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30322]) ).
tcf(c_31160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30322]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30322]) ).
tcf(c_31205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(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_30355]) ).
tcf(c_31221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30398]) ).
tcf(c_31240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30376]) ).
tcf(c_31263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_31264,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31263]) ).
tcf(c_31265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_31268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_31269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_31274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30383]) ).
tcf(c_31354,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_29720]) ).
tcf(c_31371,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_29720]) ).
tcf(c_31427,plain,
! [X0: $i] : s(s(s(s(X0)))) = s(s(s(s(X0)))),
inference(instantiation,[status(thm)],[c_29169]) ).
tcf(c_31428,plain,
s(s(s(s(z)))) = s(s(s(s(z)))),
inference(instantiation,[status(thm)],[c_31427]) ).
tcf(c_31438,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_29720]) ).
tcf(c_31480,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30598]) ).
tcf(c_31509,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(X1),z)
| ~ r(s(X1),s(z))
| ~ r(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_30565]) ).
tcf(c_31529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_30577]) ).
tcf(c_31532,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30582]) ).
tcf(c_31563,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30610]) ).
tcf(c_31591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(s(X2),z)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30735]) ).
tcf(c_31593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30735]) ).
tcf(c_31609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_30748]) ).
tcf(c_31698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),X2)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30579]) ).
tcf(c_31718,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(X1)),s(X2))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30594]) ).
tcf(c_31744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_30734]) ).
tcf(c_31860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31089]) ).
tcf(c_31899,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(X1),s(s(s(X0))))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_30607]) ).
tcf(c_31902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30607]) ).
tcf(c_31904,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(X0))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30607]) ).
tcf(c_31930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(s(X2),s(X1))
| ~ r(s(X2),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31001]) ).
tcf(c_31983,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31068]) ).
tcf(c_31985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(z,s(s(s(X2))))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31068]) ).
tcf(c_32082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(s(X1))))
| ~ r(s(X3),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(X2)))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30756]) ).
tcf(c_32099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30760]) ).
tcf(c_32142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31017]) ).
tcf(c_32158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(X1)))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31074]) ).
tcf(c_32161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(s(s(X0))),s(X3))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31074]) ).
tcf(c_32181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X3)),s(s(s(X1))))
| ~ r(s(s(X3)),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31087]) ).
tcf(c_32193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ 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_30478]) ).
tcf(c_32199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_30696]) ).
tcf(c_32205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),X1)
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_30696]) ).
tcf(c_32240,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X2),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(resolution,[status(thm)],[c_2124,c_59]) ).
tcf(c_32459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X0),X2)
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(z,s(s(s(X3))))
| ~ b(X2,s(s(s(X3))))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_30481]) ).
tcf(c_32528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(s(s(X4))))
| ~ b(X2,s(s(s(X4))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30699]) ).
tcf(c_32629,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30419]) ).
tcf(c_32636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29584]) ).
tcf(c_32637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29577]) ).
tcf(c_32640,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32637]) ).
tcf(c_32648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X2))),z)
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31265]) ).
tcf(c_32658,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32648]) ).
tcf(c_32662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X1))
| ~ b(s(X1),s(s(X2)))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29865]) ).
tcf(c_32666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(s(s(X1)),X2)
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30393]) ).
tcf(c_32694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29606]) ).
tcf(c_32773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),X1)
| ~ b(s(s(z)),X1)
| ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(z))))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30422]) ).
tcf(c_32774,plain,
( ~ b(s(z),z)
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32773]) ).
tcf(c_32781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_29865]) ).
tcf(c_32810,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(z))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_29306]) ).
tcf(c_32814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X0))))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31221]) ).
tcf(c_32827,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(X0))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_31509]) ).
tcf(c_32828,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_32827]) ).
tcf(c_32868,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31480]) ).
tcf(c_32958,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_31529]) ).
tcf(c_33000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(s(s(X0))),X3)
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_31593]) ).
tcf(c_33012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31563]) ).
tcf(c_33040,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(X0))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31904]) ).
tcf(c_33097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X2))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30419]) ).
tcf(c_33099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X2),s(s(X4)))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29600]) ).
tcf(c_33113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31265]) ).
tcf(c_33117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31269]) ).
tcf(c_33122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X4),s(s(X2)))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30701]) ).
tcf(c_33134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X3),s(s(s(X2))))
| ~ 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_31268]) ).
tcf(c_33202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29599]) ).
tcf(c_33205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X2))
| ~ b(s(s(X4)),s(X3))
| ~ b(s(s(X4)),s(X2))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29584]) ).
tcf(c_33220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(s(X2),X3)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30395]) ).
tcf(c_33251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29306]) ).
tcf(c_33252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29606]) ).
tcf(c_33259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31274]) ).
tcf(c_33371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31718]) ).
tcf(c_33383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(X0))),s(X2))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31930]) ).
tcf(c_33493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32158]) ).
tcf(c_33515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(s(X2)),s(s(s(X1))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31902]) ).
tcf(c_33624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X0)),s(X2))
| ~ r(s(X2),s(s(s(X3))))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31609]) ).
tcf(c_33795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(X0))),s(z))
| ~ r(s(s(s(X1))),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32161]) ).
tcf(c_33825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ 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_32193]) ).
tcf(c_33830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,X0)
| ~ b(s(s(X3)),z)
| ~ b(X0,s(s(X3)))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32193]) ).
tcf(c_33966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X3))))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32459]) ).
tcf(c_33970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_32459]) ).
tcf(c_34005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32199]) ).
tcf(c_34006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(X1)))
| ~ b(X2,s(s(X1)))
| ~ b(X2,s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32199]) ).
tcf(c_34008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(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_32199]) ).
tcf(c_34032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X1))),X4)
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32205]) ).
tcf(c_34072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(X2,s(s(s(X3))))
| ~ b(X1,s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32528]) ).
tcf(c_34089,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_30129]) ).
tcf(c_34139,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_29468]) ).
tcf(c_34145,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_31438]) ).
tcf(c_34284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32814]) ).
tcf(c_34285,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34284]) ).
tcf(c_34299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(X1))
| ~ r(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_33000]) ).
tcf(c_34367,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32648]) ).
tcf(c_34538,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_32810]) ).
tcf(c_34539,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34538]) ).
tcf(c_34742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32629]) ).
tcf(c_34743,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34742]) ).
tcf(c_34956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33825]) ).
tcf(c_35075,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X2,X0)
| r(X2,X0)
| b(s(X1),s(X2))
| r(s(X1),s(X2))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_32240,c_58]) ).
tcf(c_35076,plain,
! [X0: $i,X1: $i,X2: $i] :
( b(X0,X2)
| r(X0,X2)
| b(s(X2),s(X1))
| r(s(X2),s(X1))
| ( X0 = X1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_30840,c_58]) ).
tcf(c_35120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(X2)))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32781]) ).
tcf(c_35192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),z)
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_35194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(s(X2)),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_35199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X3,s(s(s(X1))))
| ~ b(X0,s(s(s(X2))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33830]) ).
tcf(c_35399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(s(X1)))))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32636]) ).
tcf(c_35418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ 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(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32662]) ).
tcf(c_35419,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35418]) ).
tcf(c_35428,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32666]) ).
tcf(c_35431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(s(s(z))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32666]) ).
tcf(c_35442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_32694]) ).
tcf(c_35853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),s(z))
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33251]) ).
tcf(c_35882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(z))))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33220]) ).
tcf(c_35883,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_35882]) ).
tcf(c_36000,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33966]) ).
tcf(c_36042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_34005]) ).
tcf(c_36051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,X1)
| ~ b(X2,s(s(s(z))))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34006]) ).
tcf(c_36156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(s(s(X1))),s(X4))
| ~ b(s(s(s(s(X0)))),s(X4))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33099]) ).
tcf(c_36208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X4)
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33122]) ).
tcf(c_36334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(X2)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33205]) ).
tcf(c_36435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ b(s(X4),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(X2))))
| ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33252]) ).
tcf(c_36457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34008]) ).
tcf(c_36477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X1))),X3)
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34032]) ).
tcf(c_36644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29800]) ).
tcf(c_36645,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36644]) ).
tcf(c_36646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29715]) ).
tcf(c_36647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(X2,s(s(s(s(X1)))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29710]) ).
tcf(c_36650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29708]) ).
tcf(c_36651,plain,
( ~ r(z,s(z))
| ~ 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_36650]) ).
tcf(c_36664,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_32827]) ).
tcf(c_36680,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36664]) ).
tcf(c_36717,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_31529]) ).
tcf(c_36727,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29322]) ).
tcf(c_36729,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36717]) ).
tcf(c_36732,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_30998]) ).
tcf(c_36739,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_30785]) ).
tcf(c_36750,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36739]) ).
tcf(c_36842,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36051]) ).
tcf(c_37076,plain,
! [X0: $i] :
( b(s(X0),s(s(X0)))
| r(s(X0),s(s(X0)))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_35075]) ).
tcf(c_37119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_34284]) ).
tcf(c_37120,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37119]) ).
tcf(c_37241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(s(s(X1)),X3)
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29711]) ).
tcf(c_37246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(s(s(s(s(X0)))),X3)
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31074]) ).
tcf(c_37254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(s(X1)))),X2)
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_29798]) ).
tcf(c_37459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_34956]) ).
tcf(c_37482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(X1)))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35428]) ).
tcf(c_37584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(s(X3),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_35199]) ).
tcf(c_37739,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(X1)),s(s(s(z))))
| ~ b(s(s(X1)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36000]) ).
tcf(c_37740,plain,
( ~ b(z,s(s(s(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(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37739]) ).
tcf(c_37859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(z))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35120]) ).
tcf(c_37860,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37859]) ).
tcf(c_38071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X2)),s(X3))
| ~ b(s(X3),s(s(s(z))))
| ~ b(s(s(s(X0))),s(X3))
| ~ b(s(s(X2)),s(s(s(X0))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35431]) ).
tcf(c_38152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(X0))))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36334]) ).
tcf(c_38153,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38152]) ).
tcf(c_38314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),X3)
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_36477]) ).
tcf(c_38315,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_38314]) ).
tcf(c_38379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(X2))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35399]) ).
tcf(c_38380,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38379]) ).
tcf(c_38405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_35442]) ).
tcf(c_38406,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38405]) ).
tcf(c_38454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X3)))
| ~ 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(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36457]) ).
tcf(c_38694,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36042]) ).
tcf(c_38695,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_38694]) ).
tcf(c_38840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(X3)))
| ~ b(s(s(s(s(X2)))),s(s(X3)))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36156]) ).
tcf(c_38925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(z))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),X3)
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_36208]) ).
tcf(c_39089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(X2))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_36435]) ).
tcf(c_39271,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_30423]) ).
tcf(c_39280,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_29263]) ).
tcf(c_39301,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_30404]) ).
tcf(c_39546,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(s(X1)))))
| r(s(X0),s(s(s(s(X1)))))
| ( s(X0) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_30405]) ).
tcf(c_39613,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_36727]) ).
tcf(c_39614,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_39613]) ).
tcf(c_39887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),z)
| ~ r(z,s(s(s(s(X0)))))
| ~ r(s(X2),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_36732]) ).
tcf(c_40408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_37459]) ).
tcf(c_40425,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37482]) ).
tcf(c_40669,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38405]) ).
tcf(c_41069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ 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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38379]) ).
tcf(c_41302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(X2))),s(s(s(s(X3)))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_38152]) ).
tcf(c_41398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(s(z))))
| ~ b(s(X3),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(z))),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39089]) ).
tcf(c_41447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X3)),s(s(s(X0))))
| ~ b(s(s(X3)),s(s(s(s(X2)))))
| ~ 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_38071]) ).
tcf(c_41448,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_41447]) ).
tcf(c_41887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(s(X2))))
| ~ b(s(X4),s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(s(s(s(X3)))))
| ~ b(s(s(s(X1))),s(s(s(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_38454]) ).
tcf(c_42198,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_34145]) ).
tcf(c_42199,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_42198]) ).
tcf(c_42223,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_34145]) ).
tcf(c_42224,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_42223]) ).
tcf(c_42259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X1,s(z))
| ~ b(X1,s(X2))
| ~ b(s(z),s(s(X3)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30701]) ).
tcf(c_42262,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_42259]) ).
tcf(c_42265,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33202]) ).
tcf(c_42266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(z))
| ~ b(s(z),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_29864]) ).
tcf(c_42267,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_42266]) ).
tcf(c_42292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(s(X1)))))
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_35853]) ).
tcf(c_42302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_30253]) ).
tcf(c_42441,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31983]) ).
tcf(c_42465,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29573]) ).
tcf(c_42468,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42465]) ).
tcf(c_42482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_38925]) ).
tcf(c_42484,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_42482]) ).
tcf(c_42504,plain,
! [X0: $i] :
( ( z = s(s(s(X0))) )
| ( s(z) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_29080]) ).
tcf(c_42505,plain,
( ( z = s(s(s(z))) )
| ( s(z) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_42504]) ).
tcf(c_42532,plain,
! [X0: $i] :
( ( s(z) = s(s(s(X0))) )
| ( s(s(z)) != s(s(s(s(X0)))) ) ),
inference(instantiation,[status(thm)],[c_29363]) ).
tcf(c_42533,plain,
( ( s(z) = s(s(s(z))) )
| ( s(s(z)) != s(s(s(s(z)))) ) ),
inference(instantiation,[status(thm)],[c_42532]) ).
tcf(c_42577,plain,
! [X0: $i,X1: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(X1)))))
| r(s(s(s(s(s(X0))))),s(s(s(s(X1)))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(X1)))) ) ),
inference(instantiation,[status(thm)],[c_34145]) ).
tcf(c_42774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(X1),s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_34072]) ).
tcf(c_42814,plain,
! [X0: $i] :
( b(s(s(X0)),s(s(s(X0))))
| r(s(s(X0)),s(s(s(X0))))
| ( s(s(X0)) = X0 ) ),
inference(resolution,[status(thm)],[c_37076,c_57]) ).
tcf(c_42960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X2)),z)
| ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_37459]) ).
tcf(c_42965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_33970]) ).
tcf(c_43161,plain,
! [X0: $i] :
( b(s(s(X0)),s(X0))
| r(s(s(X0)),s(X0))
| ( s(s(X0)) = X0 ) ),
inference(factoring,[status(thm)],[c_35076]) ).
tcf(c_44416,plain,
! [X0: $i] :
( ( s(s(s(X0))) = s(z) )
| ( s(s(s(s(X0)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_29056]) ).
tcf(c_44417,plain,
( ( s(s(s(z))) = s(z) )
| ( s(s(s(s(z)))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_44416]) ).
tcf(c_44506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(X2)),z)
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35192]) ).
tcf(c_44603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X2)
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36042]) ).
tcf(c_44609,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44603]) ).
tcf(c_44636,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( s(s(X0)) = X0 ) ),
inference(resolution,[status(thm)],[c_43161,c_57]) ).
tcf(c_44637,plain,
( b(s(s(s(z))),s(s(z)))
| r(s(s(s(z))),s(s(z)))
| ( s(s(z)) = z ) ),
inference(instantiation,[status(thm)],[c_44636]) ).
tcf(c_44638,plain,
! [X0: $i] :
( b(s(s(X0)),s(X0))
| r(s(s(X0)),s(X0))
| ( X0 = s(s(X0)) ) ),
inference(resolution,[status(thm)],[c_43161,c_130]) ).
tcf(c_44654,plain,
! [X0: $i] :
( b(s(s(s(X0))),s(s(X0)))
| r(s(s(s(X0))),s(s(X0)))
| ( X0 = s(s(X0)) ) ),
inference(resolution,[status(thm)],[c_44638,c_57]) ).
tcf(c_44739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),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_31265]) ).
tcf(c_44742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31205]) ).
tcf(c_44744,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31240]) ).
tcf(c_44750,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44739]) ).
tcf(c_44752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(s(z)))
| ~ b(s(s(X2)),z)
| ~ b(s(s(z)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_35194]) ).
tcf(c_44775,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33113]) ).
tcf(c_44797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_37584]) ).
tcf(c_44842,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31053]) ).
tcf(c_44845,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_44842]) ).
tcf(c_44890,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),X2)
| ~ 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(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_36042]) ).
tcf(c_44897,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_44890]) ).
tcf(c_45089,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33515]) ).
tcf(c_45091,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),z)
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33383]) ).
tcf(c_45092,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33371]) ).
tcf(c_45095,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33040]) ).
tcf(c_45097,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33012]) ).
tcf(c_45103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_32082]) ).
tcf(c_45108,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),X1)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31698]) ).
tcf(c_45109,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_45111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31161]) ).
tcf(c_45113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(X2)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31159]) ).
tcf(c_45116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31143]) ).
tcf(c_45152,plain,
( ~ r(s(s(z)),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45116]) ).
tcf(c_45153,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(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45109]) ).
tcf(c_45154,plain,
( ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45108]) ).
tcf(c_45157,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45097]) ).
tcf(c_45158,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45095]) ).
tcf(c_45159,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45092]) ).
tcf(c_45164,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33795]) ).
tcf(c_45168,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X1))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(X1))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_31860]) ).
tcf(c_45171,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45168]) ).
tcf(c_45173,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45164]) ).
tcf(c_45178,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(X1,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36647]) ).
tcf(c_45179,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),z)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_36646]) ).
tcf(c_45180,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45179]) ).
tcf(c_45181,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),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_45178]) ).
tcf(c_45201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(s(z)))),X1)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37254]) ).
tcf(c_45208,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45201]) ).
tcf(c_45210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_37246]) ).
tcf(c_45223,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45210]) ).
tcf(c_45224,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(X1))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_39887]) ).
tcf(c_45228,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45224]) ).
tcf(c_45380,plain,
! [X0: $i] :
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32868]) ).
tcf(c_45401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_45406,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(s(X0))))),X1)
| ~ 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_30794]) ).
tcf(c_45410,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_30351]) ).
tcf(c_45429,plain,
( ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45406]) ).
tcf(c_45437,plain,
( ~ r(s(z),z)
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45380]) ).
tcf(c_45445,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_33795]) ).
tcf(c_45454,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_45445]) ).
tcf(c_45768,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_33040]) ).
tcf(c_45781,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31698]) ).
tcf(c_45782,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31532]) ).
tcf(c_45793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_31075]) ).
tcf(c_45799,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30576]) ).
tcf(c_45808,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_30290]) ).
tcf(c_45810,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29721]) ).
tcf(c_45811,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_29643]) ).
tcf(c_45812,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45810]) ).
tcf(c_45813,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45799]) ).
tcf(c_45814,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45793]) ).
tcf(c_45815,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45782]) ).
tcf(c_45816,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45781]) ).
tcf(c_45817,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),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_45768]) ).
tcf(c_45824,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32181]) ).
tcf(c_45825,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(X0))))
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31860]) ).
tcf(c_45827,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45825]) ).
tcf(c_45844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(z))),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37246]) ).
tcf(c_45845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(z))),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_37241]) ).
tcf(c_46248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(s(X2))))
| ~ 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_33012]) ).
tcf(c_46252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(s(s(X1))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_32142]) ).
tcf(c_46463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31240]) ).
tcf(c_47092,plain,
! [X0: $i] :
( b(s(s(s(s(s(X0))))),s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))),s(s(s(s(s(X0))))))
| ( s(s(s(s(s(X0))))) = s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_42577]) ).
tcf(c_47093,plain,
! [X0: $i] : ~ r(s(s(s(s(s(X0))))),s(s(s(s(s(X0)))))),
inference(instantiation,[status(thm)],[c_29701]) ).
tcf(c_47094,plain,
( b(s(s(s(s(s(z))))),s(s(s(s(s(z))))))
| r(s(s(s(s(s(z))))),s(s(s(s(s(z))))))
| ( s(s(s(s(s(z))))) = s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_47092]) ).
tcf(c_47095,plain,
~ r(s(s(s(s(s(z))))),s(s(s(s(s(z)))))),
inference(instantiation,[status(thm)],[c_47093]) ).
tcf(c_49184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_42774]) ).
tcf(c_49185,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_49184]) ).
tcf(c_50516,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33371]) ).
tcf(c_50519,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33040]) ).
tcf(c_50521,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33012]) ).
tcf(c_50536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(s(s(z))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31160]) ).
tcf(c_50537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(z))),s(s(X2)))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31159]) ).
tcf(c_50550,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(z))
| ~ r(X1,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_30576]) ).
tcf(c_50561,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_29721]) ).
tcf(c_50563,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50561]) ).
tcf(c_50565,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50550]) ).
tcf(c_50569,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50521]) ).
tcf(c_50570,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50519]) ).
tcf(c_50571,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_50516]) ).
tcf(c_50576,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(X1))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33493]) ).
tcf(c_50799,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_39271]) ).
tcf(c_50800,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_50799]) ).
tcf(c_51078,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(z),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_36664]) ).
tcf(c_51079,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_51078]) ).
tcf(c_51081,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(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29324]) ).
tcf(c_51084,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_51081]) ).
tcf(c_51089,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_39301]) ).
tcf(c_51090,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_51089]) ).
tcf(c_51155,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),X1)
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29326]) ).
tcf(c_51156,plain,
( ~ r(s(s(z)),z)
| ~ 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_51155]) ).
tcf(c_51684,plain,
! [X0: $i] :
( ~ 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(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45089]) ).
tcf(c_51686,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(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_51684]) ).
tcf(c_52322,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45091]) ).
tcf(c_52323,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_31354]) ).
tcf(c_52324,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52322]) ).
tcf(c_52325,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_52323]) ).
tcf(c_52332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_29873]) ).
tcf(c_52504,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(s(z)))))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45103]) ).
tcf(c_52506,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(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52504]) ).
tcf(c_52546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(X2))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45111]) ).
tcf(c_52547,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52546]) ).
tcf(c_52627,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45164]) ).
tcf(c_52628,plain,
( ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52627]) ).
tcf(c_52636,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(z),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_45168]) ).
tcf(c_52637,plain,
( ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_52636]) ).
tcf(c_53032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),X2)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45401]) ).
tcf(c_53033,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53032]) ).
tcf(c_53063,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(s(z)))))
| ~ r(X2,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45410]) ).
tcf(c_53064,plain,
( ~ r(z,s(s(s(s(z)))))
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53063]) ).
tcf(c_53174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_30392]) ).
tcf(c_53376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X2)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45844]) ).
tcf(c_53377,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53376]) ).
tcf(c_53383,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45845]) ).
tcf(c_53385,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53383]) ).
tcf(c_53430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_46248]) ).
tcf(c_53431,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_53430]) ).
tcf(c_53714,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45210]) ).
tcf(c_53715,plain,
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_53714]) ).
tcf(c_54452,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29330]) ).
tcf(c_54750,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29325]) ).
tcf(c_54795,plain,
! [X0: $i,X1: $i] :
( b(s(X0),s(s(s(s(s(X1))))))
| r(s(X0),s(s(s(s(s(X1))))))
| ( s(X0) = s(s(s(s(s(X1))))) ) ),
inference(instantiation,[status(thm)],[c_39546]) ).
tcf(c_54887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_31263]) ).
tcf(c_55774,plain,
! [X0: $i] : ~ b(s(s(s(s(s(X0))))),s(s(s(s(s(X0)))))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_55775,plain,
~ b(s(s(s(s(s(z))))),s(s(s(s(s(z)))))),
inference(instantiation,[status(thm)],[c_55774]) ).
tcf(c_56763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),z)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_35192]) ).
tcf(c_56764,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_56763]) ).
tcf(c_56972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ 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_46252]) ).
tcf(c_57091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_40408]) ).
tcf(c_57179,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45793]) ).
tcf(c_57180,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_57179]) ).
tcf(c_57229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(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_42302]) ).
tcf(c_57349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42960]) ).
tcf(c_57505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X1,s(z))
| ~ b(s(s(s(X2))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44506]) ).
tcf(c_57643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ 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_44752]) ).
tcf(c_57671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_44775]) ).
tcf(c_57684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ 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))))) ),
inference(instantiation,[status(thm)],[c_44797]) ).
tcf(c_57685,plain,
( ~ 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_57684]) ).
tcf(c_57845,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_31371]) ).
tcf(c_57847,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_57845]) ).
tcf(c_58033,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(X0))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_45824]) ).
tcf(c_59495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(X2))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X2),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_33097]) ).
tcf(c_59567,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(z,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_33259]) ).
tcf(c_59581,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))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59567]) ).
tcf(c_59602,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_42265]) ).
tcf(c_59627,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_40669]) ).
tcf(c_59711,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_34367]) ).
tcf(c_59714,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59711]) ).
tcf(c_59738,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_59627]) ).
tcf(c_59742,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59602]) ).
tcf(c_59771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_33134]) ).
tcf(c_59815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(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_42292]) ).
tcf(c_59818,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41069]) ).
tcf(c_59819,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59818]) ).
tcf(c_59821,plain,
( ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59815]) ).
tcf(c_59825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(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_41398]) ).
tcf(c_59838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(s(z)))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_38840]) ).
tcf(c_59839,plain,
( ~ 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))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59838]) ).
tcf(c_60216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(s(s(X2)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_41302]) ).
tcf(c_60303,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X1))),z)
| ~ 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(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_34367]) ).
tcf(c_60306,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60303]) ).
tcf(c_60330,plain,
( ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_60216]) ).
tcf(c_60355,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(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_41887]) ).
tcf(c_60362,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_60355]) ).
tcf(c_60584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X2))),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_33117]) ).
tcf(c_61558,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_45401]) ).
tcf(c_61568,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_61558]) ).
tcf(c_61912,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_45113]) ).
tcf(c_61916,plain,
( ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_61912]) ).
tcf(c_62368,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_50576]) ).
tcf(c_64290,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_30656]) ).
tcf(c_64291,plain,
( ( s(s(z)) = s(s(s(s(z)))) )
| ( s(s(s(z))) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_64290]) ).
tcf(c_64321,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_34089]) ).
tcf(c_64322,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_64321]) ).
tcf(c_65466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_53174]) ).
tcf(c_66090,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_58033]) ).
tcf(c_66143,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_34139]) ).
tcf(c_66144,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_66143]) ).
tcf(c_67951,plain,
! [X0: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_29573]) ).
tcf(c_67954,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_67951]) ).
tcf(c_68316,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(s(s(X2)),z)
| ~ r(s(s(X2)),s(X0))
| ~ r(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_31591]) ).
tcf(c_68419,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_42441]) ).
tcf(c_68420,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_68419]) ).
tcf(c_68429,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44744]) ).
tcf(c_68430,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_68429]) ).
tcf(c_68873,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_39280]) ).
tcf(c_68874,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_68873]) ).
tcf(c_68997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_29326]) ).
tcf(c_69039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_29708]) ).
tcf(c_69040,plain,
( ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_69039]) ).
tcf(c_69118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_30999]) ).
tcf(c_69119,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_69118]) ).
tcf(c_69157,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31563]) ).
tcf(c_69158,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(z))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_69157]) ).
tcf(c_69172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31744]) ).
tcf(c_69671,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X0))),z)
| ~ r(z,s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_39613]) ).
tcf(c_69672,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_69671]) ).
tcf(c_69711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_42965]) ).
tcf(c_69926,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_46463]) ).
tcf(c_70613,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_31089]) ).
tcf(c_70614,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_70613]) ).
tcf(c_70697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(X1))
| ~ r(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_34299]) ).
tcf(c_71450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),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_50536]) ).
tcf(c_71462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(s(X1)))),s(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_50537]) ).
tcf(c_72241,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_54795]) ).
tcf(c_72258,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31899]) ).
tcf(c_72268,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_32958]) ).
tcf(c_72270,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_72241]) ).
tcf(c_72272,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72268]) ).
tcf(c_72278,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_72258]) ).
tcf(c_73776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(X1,s(s(s(s(X2)))))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_31985]) ).
tcf(c_73777,plain,
( ~ b(s(s(z)),z)
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_73776]) ).
tcf(c_73790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X0)))
| ~ r(s(X2),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X1)))),s(s(z)))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_32099]) ).
tcf(c_73791,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_73790]) ).
tcf(c_74356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X2)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_44742]) ).
tcf(c_74357,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_74356]) ).
tcf(c_74814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_52332]) ).
tcf(c_74815,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_74814]) ).
tcf(c_75034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_54887]) ).
tcf(c_75035,plain,
( ~ 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_75034]) ).
tcf(c_75235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57091]) ).
tcf(c_75236,plain,
( ~ 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_75235]) ).
tcf(c_75289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(z))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57229]) ).
tcf(c_75290,plain,
( ~ 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_75289]) ).
tcf(c_75304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),z)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_57349]) ).
tcf(c_75305,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(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_75304]) ).
tcf(c_75349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_57505]) ).
tcf(c_75350,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75349]) ).
tcf(c_75374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(z)))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),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))))) ),
inference(instantiation,[status(thm)],[c_57643]) ).
tcf(c_75375,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75374]) ).
tcf(c_75401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_57684]) ).
tcf(c_75402,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_75401]) ).
tcf(c_76145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(s(z)))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_59771]) ).
tcf(c_76146,plain,
( ~ 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_76145]) ).
tcf(c_76150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),z)
| ~ b(s(s(s(X2))),z)
| ~ b(s(X3),s(s(X0)))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_30360]) ).
tcf(c_76151,plain,
( ~ b(s(z),z)
| ~ b(s(z),s(s(z)))
| ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_76150]) ).
tcf(c_76692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_60584]) ).
tcf(c_76693,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_76692]) ).
tcf(c_80453,plain,
! [X0: $i] : s(s(s(s(s(X0))))) != z,
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_80454,plain,
s(s(s(s(s(z))))) != z,
inference(instantiation,[status(thm)],[c_80453]) ).
tcf(c_80472,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_29061]) ).
tcf(c_80473,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_80472]) ).
tcf(c_80791,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_62368]) ).
tcf(c_80797,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45811]) ).
tcf(c_80801,plain,
! [X0: $i] :
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_45808]) ).
tcf(c_80806,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80801]) ).
tcf(c_80808,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80797]) ).
tcf(c_80812,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_80791]) ).
tcf(c_80880,plain,
! [X0: $i] :
( ( s(z) = s(s(s(s(X0)))) )
| ( s(s(z)) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_42532]) ).
tcf(c_80881,plain,
( ( s(z) = s(s(s(s(z)))) )
| ( s(s(z)) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_80880]) ).
tcf(c_81242,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_54452]) ).
tcf(c_81243,plain,
( ~ r(s(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_81242]) ).
tcf(c_81251,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(z)),z)
| ~ r(s(X1),s(s(z)))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_54750]) ).
tcf(c_81252,plain,
( ~ r(s(s(z)),z)
| ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_81251]) ).
tcf(c_83113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X2))
| ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(z)))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_56972]) ).
tcf(c_83114,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(z)))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_83113]) ).
tcf(c_83646,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_65466]) ).
tcf(c_83647,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_83646]) ).
tcf(c_84168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(s(z)))
| ~ r(s(s(z)),X2)
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_68997]) ).
tcf(c_84169,plain,
( ~ r(z,s(s(z)))
| ~ r(s(s(z)),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_84168]) ).
tcf(c_84226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(X2))
| ~ r(s(X1),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_69172]) ).
tcf(c_84227,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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_84226]) ).
tcf(c_84260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_69711]) ).
tcf(c_84261,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(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_84260]) ).
tcf(c_84380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_69926]) ).
tcf(c_84381,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_84380]) ).
tcf(c_86983,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(s(X1)),z)
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_68316]) ).
tcf(c_86984,plain,
( ~ r(z,s(z))
| ~ r(s(s(z)),z)
| ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_86983]) ).
tcf(c_87243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(z)),s(X1))
| ~ r(s(X1),s(s(s(X2))))
| ~ r(s(s(s(s(s(X0))))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_70697]) ).
tcf(c_87244,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_87243]) ).
tcf(c_89873,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_57671]) ).
tcf(c_89874,plain,
( ~ b(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_89873]) ).
tcf(c_92234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(X2,s(s(s(X1))))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31609]) ).
tcf(c_92235,plain,
( ~ r(z,s(z))
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92234]) ).
tcf(c_92621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_33000]) ).
tcf(c_92622,plain,
( ~ r(z,s(z))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_92621]) ).
tcf(c_92653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_33624]) ).
tcf(c_92654,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(z)))))
| ~ r(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_92653]) ).
tcf(c_96125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ 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(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_59495]) ).
tcf(c_96126,plain,
( ~ 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(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_96125]) ).
tcf(c_96861,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_66090]) ).
tcf(c_96896,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(z))))
| ~ r(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_96861]) ).
tcf(c_96943,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = z )
| ( s(s(s(s(s(X0))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_28991]) ).
tcf(c_96944,plain,
( ( s(s(s(s(z)))) = z )
| ( s(s(s(s(s(z))))) != s(z) ) ),
inference(instantiation,[status(thm)],[c_96943]) ).
tcf(c_96972,plain,
! [X0: $i] :
( ( z = s(s(s(s(X0)))) )
| ( s(z) != s(s(s(s(s(X0))))) ) ),
inference(instantiation,[status(thm)],[c_42504]) ).
tcf(c_96973,plain,
( ( z = s(s(s(s(z)))) )
| ( s(z) != s(s(s(s(s(z))))) ) ),
inference(instantiation,[status(thm)],[c_96972]) ).
tcf(c_97012,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_30651]) ).
tcf(c_97013,plain,
( ( s(s(s(s(z)))) = s(s(z)) )
| ( s(s(s(s(s(z))))) != s(s(s(z))) ) ),
inference(instantiation,[status(thm)],[c_97012]) ).
tcf(c_97213,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),X1)
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_36842]) ).
tcf(c_97249,plain,
( ~ b(s(s(z)),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_97213]) ).
tcf(c_97362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_59825]) ).
tcf(c_97377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(s(z))))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_40425]) ).
tcf(c_97385,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(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_97377]) ).
tcf(c_97392,plain,
( ~ b(s(z),s(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(s(z))))) ),
inference(instantiation,[status(thm)],[c_97362]) ).
tcf(c_98808,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(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(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71462]) ).
tcf(c_98809,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(s(z)))),s(s(X1)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_71450]) ).
tcf(c_98848,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_98809]) ).
tcf(c_98849,plain,
( ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_98808]) ).
tcf(c_103438,plain,
! [X0: $i] :
( ( s(s(X0)) = s(z) )
| ( s(s(s(X0))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_103440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,X2)
| ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_103450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,X1)
| ~ b(X1,X2)
| ~ b(X2,s(z))
| ~ b(X1,s(s(X0)))
| ~ b(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_103465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_103472,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103440]) ).
tcf(c_103473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(X2,s(X1))
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103440]) ).
tcf(c_103477,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,z)
| ~ r(X1,z)
| ~ r(X1,X2)
| ~ r(z,s(X0)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_103478,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(X1))
| ~ r(z,s(X0))
| ~ r(s(X1),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103440]) ).
tcf(c_103491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(s(X1),X2)
| ~ r(s(X0),X3)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103465]) ).
tcf(c_103499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X0,z)
| ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_103477]) ).
tcf(c_103514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103465]) ).
tcf(c_103515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X0)
| ~ r(X2,X3)
| ~ r(X2,X0)
| ~ r(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_103552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(X0),z)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103499]) ).
tcf(c_103562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X2,X3)
| ~ b(X3,s(X1))
| ~ b(X2,s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_103564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X2,s(z))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X0)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103450]) ).
tcf(c_103579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,X2)
| ~ b(X3,X2)
| ~ b(X3,s(X0))
| ~ b(X2,s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_103580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ 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_103450]) ).
tcf(c_103593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103515]) ).
tcf(c_103594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,X1)
| ~ r(X3,s(X0))
| ~ r(X1,s(X2))
| ~ r(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_103515]) ).
tcf(c_103609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(X0))
| ~ r(s(X1),s(X2))
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103594]) ).
tcf(c_103610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(X1),X2)
| ~ r(s(X0),X2)
| ~ r(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_103594]) ).
tcf(c_103688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103564]) ).
tcf(c_103690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103580]) ).
tcf(c_103695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X1))
| ~ b(s(X2),X3)
| ~ b(s(X2),s(s(X0)))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_103562]) ).
tcf(c_103698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(z))
| ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(s(z),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103579]) ).
tcf(c_103699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(X0))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103579]) ).
tcf(c_103814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(s(X2)),X3)
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103698]) ).
tcf(c_103817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(X1))
| ~ b(s(X3),s(X4))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_103695]) ).
tcf(c_103821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X2),s(X3))
| ~ b(s(X2),s(X1))
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_103699]) ).
tcf(c_103822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X2))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_103699]) ).
tcf(c_103828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(X0))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103690]) ).
tcf(c_103829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X0))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X0),s(s(X2)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103690]) ).
tcf(c_103956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103828]) ).
tcf(c_103965,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(s(X2)),s(X3))
| ~ b(s(s(X1)),s(X3))
| ~ b(s(s(X0)),s(X4))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103817]) ).
tcf(c_103967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(X4))
| ~ b(s(X4),s(s(X1)))
| ~ b(s(X3),s(s(X0)))
| ~ b(s(s(X2)),s(X4))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103817]) ).
tcf(c_103972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X0)),s(X3))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103822]) ).
tcf(c_103974,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(X0)),s(z))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103829]) ).
tcf(c_103982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103821]) ).
tcf(c_103983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X3),s(s(X4)))
| ~ b(s(X2),s(s(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_103821]) ).
tcf(c_104007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X3,X0)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(z,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_104012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,X2)
| ~ b(X3,z)
| ~ b(X3,X2)
| ~ b(X2,s(X1))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_103562]) ).
tcf(c_104014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(X2,X3)
| ~ b(X2,X0)
| ~ b(X0,X3)
| ~ b(s(s(s(X1))),z)
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_104015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X1))
| ~ b(s(s(s(X0))),z)
| ~ b(s(X2),s(s(X3)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_103699]) ).
tcf(c_104023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(z)))
| ~ r(X2,s(s(s(X0))))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_103514]) ).
tcf(c_104032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(X1))
| ~ r(X2,s(s(z)))
| ~ r(s(X1),s(s(z)))
| ~ r(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_103609]) ).
tcf(c_104040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X0)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X2,s(s(s(X1))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_104044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X2))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X3)),s(X1))
| ~ b(s(X2),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_103695]) ).
tcf(c_104052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X0))
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X1))))
| ~ 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_103690]) ).
tcf(c_104070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X3,X4)
| ~ b(X3,X2)
| ~ b(X2,X4)
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_104071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X2,s(X3))
| ~ b(X2,s(X1))
| ~ b(s(X3),s(s(X4)))
| ~ b(s(X1),s(s(X4)))
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_103699]) ).
tcf(c_104113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103610]) ).
tcf(c_104115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103552]) ).
tcf(c_104121,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103478]) ).
tcf(c_104122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(X2,s(s(X1)))
| ~ r(s(s(s(X0))),X2)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103473]) ).
tcf(c_104123,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103472]) ).
tcf(c_104154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X3))
| ~ r(s(s(X0)),X2)
| ~ r(s(s(s(X1))),X2)
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_103610]) ).
tcf(c_104155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(s(X0)))
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_103593]) ).
tcf(c_104166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_103609]) ).
tcf(c_104391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),X3)
| ~ r(X3,s(s(X0)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104155]) ).
tcf(c_104403,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(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_104032]) ).
tcf(c_104649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X1)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104166]) ).
tcf(c_104650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104166]) ).
tcf(c_104654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,z)
| ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_104012]) ).
tcf(c_104656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104015]) ).
tcf(c_104674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X0))),z)
| ~ b(X3,s(s(s(X0))))
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(X0))),X1) ),
inference(instantiation,[status(thm)],[c_104007]) ).
tcf(c_104681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X0)
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(X3,s(s(s(X2))))
| ~ b(X0,s(s(s(X2))))
| ~ b(X0,s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104014]) ).
tcf(c_104684,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104052]) ).
tcf(c_104689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X2)))
| ~ b(s(s(X2)),X1)
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_104040]) ).
tcf(c_104690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(s(s(X2)),X3)
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(X2)),s(X0))
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104040]) ).
tcf(c_104697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(s(X2)))
| ~ b(X1,s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_104070]) ).
tcf(c_104698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(X2)))
| ~ b(X3,s(s(X2)))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_104070]) ).
tcf(c_104700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(X2))
| ~ b(X3,s(X2))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104070]) ).
tcf(c_104717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ 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_104044]) ).
tcf(c_104736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(X0))),s(X2))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104071]) ).
tcf(c_104738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(X1))
| ~ b(s(z),s(s(X2)))
| ~ b(s(X1),s(s(X3)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X2)),s(s(X3)))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_104071]) ).
tcf(c_104742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(X3))
| ~ b(X4,s(s(s(X0))))
| ~ b(s(X3),s(s(X1)))
| ~ b(s(s(s(X2))),X4)
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104071]) ).
tcf(c_104867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(s(X2)),X3)
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104391]) ).
tcf(c_105094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X2))),s(X3))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104654]) ).
tcf(c_105095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(s(s(s(X2))),s(s(X3)))
| ~ b(s(s(s(X1))),s(s(X3)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104656]) ).
tcf(c_105119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X1)))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(X3)),s(s(X2)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104738]) ).
tcf(c_105126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104674]) ).
tcf(c_105129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(X1))),z)
| ~ b(X2,s(s(s(X3))))
| ~ b(s(s(s(X1))),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104674]) ).
tcf(c_105146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104681]) ).
tcf(c_105147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104681]) ).
tcf(c_105151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104681]) ).
tcf(c_105239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),X3)
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_104689]) ).
tcf(c_105242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ 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_104689]) ).
tcf(c_105245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(X2)))
| ~ b(s(z),s(s(X2)))
| ~ b(s(s(X2)),s(z))
| ~ b(X1,s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_104697]) ).
tcf(c_105248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,X2)
| ~ b(z,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_104697]) ).
tcf(c_105249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(X0))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_104697]) ).
tcf(c_105278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ 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_104690]) ).
tcf(c_105307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X3)
| ~ b(X4,s(s(s(X2))))
| ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(s(X0))),s(X1)) ),
inference(instantiation,[status(thm)],[c_104698]) ).
tcf(c_105705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X2))))
| ~ b(z,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105248]) ).
tcf(c_105749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(z))
| ~ b(s(s(X2)),s(z))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(z),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_105239]) ).
tcf(c_105808,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(X1)))) ),
inference(instantiation,[status(thm)],[c_105242]) ).
tcf(c_105812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(s(s(s(X1))),X3)
| ~ b(s(s(s(X0))),X3)
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105242]) ).
tcf(c_105817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(X3))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105249]) ).
tcf(c_105818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105249]) ).
tcf(c_105819,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105818]) ).
tcf(c_105820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X0)))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X3),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105249]) ).
tcf(c_105821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X1))))
| ~ b(s(s(s(X0))),X3)
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105249]) ).
tcf(c_105824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(s(s(X2))))
| ~ b(X3,s(s(s(X0))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(s(s(X2))))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105249]) ).
tcf(c_105863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,s(s(s(X3))))
| ~ b(s(s(s(X1))),X4)
| ~ b(s(s(s(X0))),X4)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105278]) ).
tcf(c_105891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(s(X4),s(s(X0)))
| ~ b(s(X4),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X3))
| ~ 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_105307]) ).
tcf(c_106037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_104867]) ).
tcf(c_106047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(s(X1)))
| ~ r(X2,s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_104650]) ).
tcf(c_106238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_105749]) ).
tcf(c_106461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(s(X2)))
| ~ r(X3,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_104650]) ).
tcf(c_107295,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106037]) ).
tcf(c_107440,plain,
! [X0: $i,X1: $i] :
( ~ r(X1,s(s(s(z))))
| ~ r(X1,s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_106047]) ).
tcf(c_107985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X1),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_103982]) ).
tcf(c_107987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(X1))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_103967]) ).
tcf(c_108036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X3))),s(X1))
| ~ 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(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_105891]) ).
tcf(c_108081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(X1))
| ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_104717]) ).
tcf(c_108126,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_106238]) ).
tcf(c_108129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(z)),s(X1))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_103983]) ).
tcf(c_108130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(s(z)),s(X3))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(s(s(X0)))),s(X1))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_103965]) ).
tcf(c_108133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X1),s(X3))
| ~ b(s(X3),s(s(z)))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X2)),s(X1))
| ~ b(s(X1),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_103967]) ).
tcf(c_108148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(X1))),X3)
| ~ b(X3,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_104742]) ).
tcf(c_108150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(X3,s(X2))
| ~ b(X1,s(X2))
| ~ b(s(X2),s(s(z)))
| ~ b(X1,s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_104700]) ).
tcf(c_108179,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103956]) ).
tcf(c_108194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105095]) ).
tcf(c_108376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_105146]) ).
tcf(c_108377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X2),s(s(s(X3))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_105126]) ).
tcf(c_108440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X3)),s(X2))
| ~ b(s(s(X3)),s(s(X0)))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_103972]) ).
tcf(c_108456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(X3))),s(z))
| ~ b(s(s(s(X3))),s(s(X0)))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_105119]) ).
tcf(c_108491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_106238]) ).
tcf(c_108496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),s(s(X3)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(X2),s(s(X3)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103982]) ).
tcf(c_108501,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(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103974]) ).
tcf(c_110055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(X1))))
| ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108150]) ).
tcf(c_110111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_108081]) ).
tcf(c_110112,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))))) ),
inference(instantiation,[status(thm)],[c_110111]) ).
tcf(c_110239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X0))),z)
| ~ b(z,s(s(s(s(X2)))))
| ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(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_108194]) ).
tcf(c_110240,plain,
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_110239]) ).
tcf(c_110508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(X2)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(s(s(s(X1))),s(X3))
| ~ b(s(X3),s(s(s(s(X0)))))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108148]) ).
tcf(c_110519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(X3),s(s(z)))
| ~ b(s(X3),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(X1)))))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_108036]) ).
tcf(c_110577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(X3),s(s(X2)))
| ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108129]) ).
tcf(c_110587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(z)),s(X3))
| ~ b(s(s(X2)),s(X3))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(X1)),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108130]) ).
tcf(c_110776,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_107987]) ).
tcf(c_110849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108133]) ).
tcf(c_110947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X3))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(X0)),s(s(X2)))
| ~ b(s(s(X2)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_108376]) ).
tcf(c_110955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(X3))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X2)),s(s(X1)))
| ~ b(s(s(X1)),s(s(s(X3))))
| ~ b(s(s(X2)),s(s(s(s(X0)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108377]) ).
tcf(c_111036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X2)),s(s(z)))
| ~ b(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_108440]) ).
tcf(c_111483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_103610]) ).
tcf(c_111501,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ 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_104122]) ).
tcf(c_111506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X2))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_104154]) ).
tcf(c_111652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_103610]) ).
tcf(c_111672,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(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_104403]) ).
tcf(c_111676,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(z)),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_104023]) ).
tcf(c_111691,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_107440]) ).
tcf(c_111808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_110776]) ).
tcf(c_111855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(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_103610]) ).
tcf(c_111857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X1),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_103552]) ).
tcf(c_112091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,X3)
| ~ r(X3,s(X0))
| ~ r(X2,s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_103593]) ).
tcf(c_112107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X2))
| ~ r(X3,s(X0))
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_103609]) ).
tcf(c_112124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X2)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X2)),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_106461]) ).
tcf(c_112126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X3),s(s(X1)))
| ~ r(s(X3),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104649]) ).
tcf(c_112154,plain,
! [X0: $i,X1: $i] :
( ~ r(s(X1),s(s(s(z))))
| ~ r(s(X1),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_107440]) ).
tcf(c_112433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),s(s(z)))
| ~ b(s(s(z)),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ 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_110849]) ).
tcf(c_112527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(X0)),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_110519]) ).
tcf(c_112608,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(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_110587]) ).
tcf(c_112707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X2)
| ~ b(X3,s(s(s(s(X1)))))
| ~ b(X2,s(s(s(s(X1)))))
| ~ b(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_110055]) ).
tcf(c_112777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),s(X3))
| ~ 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_110508]) ).
tcf(c_112778,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_112777]) ).
tcf(c_112869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X3)))),z)
| ~ b(s(s(s(s(X1)))),z)
| ~ b(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(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_110947]) ).
tcf(c_112878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(X3)),s(s(X1)))
| ~ b(s(s(X3)),s(s(s(s(X0)))))
| ~ b(s(s(X1)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_110955]) ).
tcf(c_113764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X0))
| ~ r(s(X2),z)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_112091]) ).
tcf(c_113766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X0))
| ~ r(s(X2),X3)
| ~ r(s(X2),s(X0))
| ~ r(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_112091]) ).
tcf(c_114011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X3,s(X1))
| ~ r(X3,s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_112107]) ).
tcf(c_114212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_111808]) ).
tcf(c_114263,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(X0)))))
| ~ r(s(s(s(z))),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_112154]) ).
tcf(c_114277,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(X0)))),s(z))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111483]) ).
tcf(c_114322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X2),s(X3))
| ~ r(s(X1),s(X2))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_111855]) ).
tcf(c_115462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(X1)))
| ~ b(s(s(X1)),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_112433]) ).
tcf(c_115762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_112124]) ).
tcf(c_115763,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_115762]) ).
tcf(c_115788,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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_112126]) ).
tcf(c_115978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_112527]) ).
tcf(c_116126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(s(X2)))))
| ~ b(s(z),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_112707]) ).
tcf(c_116127,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_116126]) ).
tcf(c_117202,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(X0)),s(s(z))) ),
inference(instantiation,[status(thm)],[c_106238]) ).
tcf(c_117478,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(X2)),s(s(s(X0))))
| ~ r(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_113764]) ).
tcf(c_118303,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(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_115788]) ).
tcf(c_118615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(s(X1),s(X2))
| ~ r(s(X2),s(s(s(s(X3)))))
| ~ r(s(s(s(s(X0)))),s(X2))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_114322]) ).
tcf(c_118906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(X1))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(X1),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_114011]) ).
tcf(c_121811,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(X1),s(s(X2)))
| ~ b(s(s(s(z))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ 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_104736]) ).
tcf(c_121840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(X2)),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_108456]) ).
tcf(c_122001,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(X1))),z)
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_105151]) ).
tcf(c_122186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(X1),s(s(s(z))))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(X1),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105817]) ).
tcf(c_122191,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(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_105808]) ).
tcf(c_122244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(X2),s(s(s(z))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(X2),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105820]) ).
tcf(c_122245,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105818]) ).
tcf(c_122249,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(s(s(s(X1))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105147]) ).
tcf(c_122250,plain,
( ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122249]) ).
tcf(c_122251,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122245]) ).
tcf(c_122271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(z))),X1)
| ~ b(X1,s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),X1)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105129]) ).
tcf(c_122272,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(z))),s(X2))
| ~ b(s(s(s(X1))),s(X2))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105094]) ).
tcf(c_122279,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122271]) ).
tcf(c_122386,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105705]) ).
tcf(c_122392,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(z,s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122386]) ).
tcf(c_123993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(z)))
| ~ r(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_118615]) ).
tcf(c_123994,plain,
( ~ r(s(s(s(z))),s(s(z)))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(z)))),s(s(z)))
| ~ r(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_123993]) ).
tcf(c_124543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_105808]) ).
tcf(c_128436,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108179]) ).
tcf(c_128452,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_128436]) ).
tcf(c_128653,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(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_108491]) ).
tcf(c_128713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X2)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108496]) ).
tcf(c_128737,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122191]) ).
tcf(c_128738,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_128737]) ).
tcf(c_128747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(z))
| ~ r(X1,s(z))
| ~ r(s(z),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_103593]) ).
tcf(c_128763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_118906]) ).
tcf(c_128778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(X1)))),s(z))
| ~ r(s(s(X0)),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_111506]) ).
tcf(c_128871,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_117202]) ).
tcf(c_128875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(X3))
| ~ b(s(s(s(s(X1)))),s(X3))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(X0))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_112527]) ).
tcf(c_128883,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_128875]) ).
tcf(c_128885,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_128871]) ).
tcf(c_128897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(X2)))))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_114212]) ).
tcf(c_128906,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_128897]) ).
tcf(c_128932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(X2),s(s(z)))
| ~ b(s(s(X0)),s(X2))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_103972]) ).
tcf(c_128951,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(X2))),s(s(z)))
| ~ 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_111036]) ).
tcf(c_128957,plain,
( ~ b(s(z),s(s(z)))
| ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_128951]) ).
tcf(c_129029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X2),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(X2),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_112707]) ).
tcf(c_129035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(X1))),z)
| ~ b(s(X0),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104674]) ).
tcf(c_129041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X2))
| ~ b(z,s(X0))
| ~ b(s(X3),z)
| ~ b(s(X3),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103699]) ).
tcf(c_129124,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(s(X1)))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_115462]) ).
tcf(c_129129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(X2),s(s(X1)))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(X1)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_110577]) ).
tcf(c_129138,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(s(X1)))),z)
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_112869]) ).
tcf(c_129147,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(X0)))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_103688]) ).
tcf(c_129148,plain,
( ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_129138]) ).
tcf(c_129199,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),z)
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(X0)))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_112878]) ).
tcf(c_129561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X2)
| ~ b(X4,X0)
| ~ b(X3,X4)
| ~ b(X3,X0)
| ~ b(X2,s(X1))
| ~ b(X0,s(X1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(X2))
| ~ b(X3,s(s(s(s(X1)))))
| ~ 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_112707]) ).
tcf(c_129572,plain,
( ~ b(z,s(z))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129567]) ).
tcf(c_129741,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(X0)),s(s(s(z))))
| ~ b(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_104684]) ).
tcf(c_129831,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_108126]) ).
tcf(c_129832,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129831]) ).
tcf(c_129935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),X2)
| ~ b(X2,s(s(s(X1))))
| ~ b(s(s(s(z))),s(X0))
| ~ b(s(s(s(s(z)))),X2)
| ~ b(s(X0),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105863]) ).
tcf(c_129936,plain,
! [X0: $i,X1: $i] :
( ~ b(X0,s(s(s(z))))
| ~ b(X0,s(s(s(X1))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(s(z)))),X0)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105821]) ).
tcf(c_129937,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),X0)
| ~ b(X0,s(s(s(X1))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),X0)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_105812]) ).
tcf(c_130003,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_105824]) ).
tcf(c_130004,plain,
! [X0: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_105705]) ).
tcf(c_130009,plain,
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_130004]) ).
tcf(c_130466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(X2))
| ~ b(s(s(X1)),s(X2))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(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_112608]) ).
tcf(c_130856,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(z),s(s(X0)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_103974]) ).
tcf(c_131042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(X2))
| ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_103552]) ).
tcf(c_131236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,X2)
| ~ r(X2,s(s(X0)))
| ~ r(X1,s(s(X0)))
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_103593]) ).
tcf(c_131240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),X2)
| ~ r(s(s(X0)),X1)
| ~ r(s(s(X0)),s(z)) ),
inference(instantiation,[status(thm)],[c_103491]) ).
tcf(c_131253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X2,s(z))
| ~ r(s(s(X1)),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_113766]) ).
tcf(c_131480,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(X1))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114277]) ).
tcf(c_131485,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_131480]) ).
tcf(c_131511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r(X2,s(X1))
| ~ r(s(X1),X3)
| ~ r(X2,s(s(X0)))
| ~ r(s(s(X0)),s(X1)) ),
inference(instantiation,[status(thm)],[c_103514]) ).
tcf(c_131885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(s(s(X1))))
| ~ b(X2,s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_105824]) ).
tcf(c_132573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131240]) ).
tcf(c_132806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,X1)
| ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(X3,s(X0))
| ~ b(X1,s(X2))
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129561]) ).
tcf(c_132807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X4,X1)
| ~ b(X4,s(X0))
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(X0),X2)
| ~ b(s(X0),X1) ),
inference(instantiation,[status(thm)],[c_129561]) ).
tcf(c_133120,plain,
! [X0: $i] :
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_111676]) ).
tcf(c_133121,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(z)),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_133120]) ).
tcf(c_133166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),X2)
| ~ r(s(z),s(s(X1)))
| ~ r(s(z),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131511]) ).
tcf(c_133412,plain,
! [X0: $i,X1: $i] :
( ~ b(X1,s(s(z)))
| ~ b(X1,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_129147]) ).
tcf(c_133413,plain,
( ~ b(z,s(s(z)))
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_133412]) ).
tcf(c_133471,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_130003]) ).
tcf(c_133472,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_133471]) ).
tcf(c_133635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104115]) ).
tcf(c_133852,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),z)
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_111501]) ).
tcf(c_134633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X0),z)
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131042]) ).
tcf(c_134634,plain,
( ~ r(s(z),z)
| ~ r(s(s(z)),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(z),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134633]) ).
tcf(c_134820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(X2),s(s(X1)))
| ~ r(s(X2),s(s(X0)))
| ~ r(s(s(X0)),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_131236]) ).
tcf(c_134883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(s(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_128653]) ).
tcf(c_134884,plain,
( ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_134883]) ).
tcf(c_134917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),s(s(X2)))
| ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(s(s(X1))))),s(z))
| ~ r(s(s(X0)),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_128778]) ).
tcf(c_135069,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X0))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129936]) ).
tcf(c_135070,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_135069]) ).
tcf(c_135081,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),X1)
| ~ b(X1,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129937]) ).
tcf(c_135165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X2)),s(z))
| ~ r(s(s(X1)),s(z))
| ~ r(s(s(X1)),s(s(X2)))
| ~ r(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_131253]) ).
tcf(c_137948,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X2),z)
| ~ b(s(X2),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_129041]) ).
tcf(c_138328,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ 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_104123]) ).
tcf(c_138329,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(X1)))
| ~ r(s(s(X1)),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_104121]) ).
tcf(c_139193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X3,s(z))
| ~ b(X3,s(X0))
| ~ b(s(s(X2)),X3)
| ~ b(s(s(X2)),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_103814]) ).
tcf(c_139194,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)))))) ),
inference(instantiation,[status(thm)],[c_139193]) ).
tcf(c_139334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129129]) ).
tcf(c_139335,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_139334]) ).
tcf(c_139362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(X2))
| ~ r(s(s(s(z))),X1)
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_104113]) ).
tcf(c_140713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X2))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X2))))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_121840]) ).
tcf(c_140714,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(z))),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_140713]) ).
tcf(c_140893,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122186]) ).
tcf(c_140894,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_140893]) ).
tcf(c_140901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(X1)))),s(s(s(X2))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_122186]) ).
tcf(c_140902,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_140901]) ).
tcf(c_140932,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X1))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_122244]) ).
tcf(c_140933,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_140932]) ).
tcf(c_140940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(X2))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(z))))
| ~ b(s(s(s(s(s(X1))))),s(s(s(X2))))
| ~ b(s(s(s(s(X0)))),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_122244]) ).
tcf(c_140941,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_140940]) ).
tcf(c_141923,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(X1)))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129029]) ).
tcf(c_142443,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X1))))
| ~ b(s(s(s(z))),s(X0))
| ~ b(s(X0),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129935]) ).
tcf(c_142445,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_142443]) ).
tcf(c_142750,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(X2))))
| ~ b(s(s(X1)),s(s(s(X2))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(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_130466]) ).
tcf(c_142751,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_142750]) ).
tcf(c_143108,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(X1))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_131885]) ).
tcf(c_143109,plain,
( ~ b(s(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(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_143108]) ).
tcf(c_144072,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_27476,c_59]) ).
tcf(c_144073,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_144072]) ).
tcf(c_144544,plain,
! [X0: $i,X1: $i] :
( ~ b(s(X1),s(s(z)))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(X1))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_128932]) ).
tcf(c_144545,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(X0))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_129741]) ).
tcf(c_144549,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_144545]) ).
tcf(c_144587,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(X1),z)
| ~ b(s(X1),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X0),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_129041]) ).
tcf(c_144601,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(s(z))),s(X1))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ 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_121811]) ).
tcf(c_144604,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(X1))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ 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_107985]) ).
tcf(c_144605,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),X1)
| ~ b(X1,s(s(s(X0))))
| ~ b(X1,s(s(s(s(z)))))
| ~ b(s(s(s(X0))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_105245]) ).
tcf(c_144626,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(X1)))
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z))
| ~ b(s(s(s(s(X0)))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_108501]) ).
tcf(c_144632,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_128713]) ).
tcf(c_144649,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_144604]) ).
tcf(c_144650,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_144601]) ).
tcf(c_144660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(X2,s(z))
| ~ b(X2,s(X0))
| ~ b(s(s(X1)),X2)
| ~ b(s(s(X1)),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X0),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_103814]) ).
tcf(c_144661,plain,
! [X0: $i] :
( ~ b(s(z),s(s(X0)))
| ~ b(s(s(X0)),s(z))
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(z))),s(s(X0))) ),
inference(instantiation,[status(thm)],[c_130856]) ).
tcf(c_144664,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(z)),s(z))
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_144660]) ).
tcf(c_145554,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_117478]) ).
tcf(c_146191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(X2)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(X2)))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(X1))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_112777]) ).
tcf(c_146205,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146191]) ).
tcf(c_146314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(s(z)))),s(X2))
| ~ b(s(s(s(s(X1)))),s(X2))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(z)),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_115978]) ).
tcf(c_146351,plain,
( ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(z)),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_146314]) ).
tcf(c_147093,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(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_111672]) ).
tcf(c_147096,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(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_147093]) ).
tcf(c_148719,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(X0),z)
| ~ b(z,s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),z)
| ~ b(s(X0),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_129035]) ).
tcf(c_148720,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(z))))
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_148719]) ).
tcf(c_148979,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(X1)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(X1)))),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_129124]) ).
tcf(c_149015,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(s(X1)))))
| ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(X1)))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_129199]) ).
tcf(c_149036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(X0)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(X2))))))
| ~ b(s(s(s(s(X0)))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_128897]) ).
tcf(c_149039,plain,
( ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_149036]) ).
tcf(c_149393,plain,
! [X0: $i] :
( ( s(s(s(s(X0)))) = s(z) )
| ( s(s(s(s(s(X0))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_103438]) ).
tcf(c_149394,plain,
( ( s(s(s(s(z)))) = s(z) )
| ( s(s(s(s(s(z))))) != s(s(z)) ) ),
inference(instantiation,[status(thm)],[c_149393]) ).
tcf(c_149531,plain,
! [X0: $i] :
( ~ 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(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_144661]) ).
tcf(c_149532,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_149531]) ).
tcf(c_150535,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_107295]) ).
tcf(c_150536,plain,
( ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_150535]) ).
tcf(c_150576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(X0))),X1)
| ~ b(s(s(s(X0))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_132807]) ).
tcf(c_150580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,s(X4))
| ~ b(X2,s(X4))
| ~ b(s(s(X1)),X3)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(X0))),X2)
| ~ b(s(s(s(X0))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_132807]) ).
tcf(c_150594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(s(z),X1)
| ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(z),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_132807]) ).
tcf(c_150595,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(z),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_150594]) ).
tcf(c_151171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ b(X3,X1)
| ~ 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_132807]) ).
tcf(c_151277,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(z))
| ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_128747]) ).
tcf(c_151278,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(z))),s(z)) ),
inference(instantiation,[status(thm)],[c_151277]) ).
tcf(c_151280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(X0))),X1)
| ~ r(s(s(s(X0))),s(z)) ),
inference(instantiation,[status(thm)],[c_128747]) ).
tcf(c_151809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(X0))),z)
| ~ r(s(s(s(X0))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133635]) ).
tcf(c_151853,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(s(z),s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_133852]) ).
tcf(c_151854,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_151853]) ).
tcf(c_151906,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_133166]) ).
tcf(c_152639,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_138328]) ).
tcf(c_152640,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_152639]) ).
tcf(c_152642,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_138329]) ).
tcf(c_152643,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_152642]) ).
tcf(c_152915,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(X0))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(X0))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(X1))))
| ~ b(s(s(s(s(z)))),s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_144544]) ).
tcf(c_152916,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_152915]) ).
tcf(c_152953,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(z,s(s(s(s(X0)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_144605]) ).
tcf(c_152954,plain,
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(z)))))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_152953]) ).
tcf(c_153023,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(s(X0))),z)
| r(s(s(X0)),s(s(s(X0))))
| ( s(s(X0)) = X0 )
| ~ b(s(s(X0)),z) ),
inference(resolution,[status(thm)],[c_42814,c_28260]) ).
tcf(c_153027,plain,
( r(z,s(z))
| r(s(s(s(z))),z)
| r(s(s(z)),s(s(s(z))))
| ( s(s(z)) = z )
| ~ b(s(s(z)),z) ),
inference(instantiation,[status(thm)],[c_153023]) ).
tcf(c_153202,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(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(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_144626]) ).
tcf(c_153915,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(X0)),z)
| r(s(s(s(X0))),s(s(X0)))
| ( s(s(X0)) = X0 )
| ~ b(s(s(s(X0))),z) ),
inference(resolution,[status(thm)],[c_44636,c_28260]) ).
tcf(c_153919,plain,
( r(z,s(z))
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ( s(s(z)) = z )
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_153915]) ).
tcf(c_154040,plain,
! [X0: $i,X1: $i] :
( r(z,s(X1))
| r(s(s(X0)),z)
| r(s(s(s(X0))),s(s(X0)))
| ( X0 = s(s(X0)) )
| ~ b(s(s(s(X0))),z) ),
inference(resolution,[status(thm)],[c_44654,c_28260]) ).
tcf(c_154044,plain,
( r(z,s(z))
| r(s(s(z)),z)
| r(s(s(s(z))),s(s(z)))
| ( z = s(s(z)) )
| ~ b(s(s(s(z))),z) ),
inference(instantiation,[status(thm)],[c_154040]) ).
tcf(c_155804,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(X1)),s(s(s(s(X2)))))
| ~ r(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_128763]) ).
tcf(c_155805,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(z)),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_155804]) ).
tcf(c_159753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X1),z)
| ~ b(s(X0),z)
| ~ b(s(X0),s(X1)) ),
inference(instantiation,[status(thm)],[c_132806]) ).
tcf(c_162882,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(X1)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(X0))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_134917]) ).
tcf(c_162884,plain,
( ~ r(s(z),s(s(z)))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(s(s(s(z))))),s(z))
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_162882]) ).
tcf(c_164847,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(X1)))),z)
| ~ r(s(s(s(s(X1)))),s(s(s(z))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_145554]) ).
tcf(c_164886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),s(z))
| ~ r(s(X2),s(s(s(X1))))
| ~ r(s(X2),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_134820]) ).
tcf(c_164887,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164886]) ).
tcf(c_166218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(s(X0),z)
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(X0),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_151171]) ).
tcf(c_166788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(z)),X2)
| ~ b(s(s(z)),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_150576]) ).
tcf(c_166789,plain,
( ~ b(z,s(z))
| ~ b(s(s(z)),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_166788]) ).
tcf(c_167980,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(X1),z)
| ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(s(X0)))),z)
| ~ r(s(s(s(s(X0)))),s(X1)) ),
inference(instantiation,[status(thm)],[c_111857]) ).
tcf(c_167981,plain,
( ~ r(s(z),z)
| ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_167980]) ).
tcf(c_168380,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(X1)),s(s(s(z))))
| ~ r(s(s(X1)),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_114263]) ).
tcf(c_168381,plain,
( ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(s(z)),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_168380]) ).
tcf(c_170221,plain,
! [X0: $i] :
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_135081]) ).
tcf(c_170222,plain,
( ~ b(s(s(s(z))),s(z))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_170221]) ).
tcf(c_170264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X0)),s(z))
| ~ r(s(s(s(X1))),s(z))
| ~ r(s(z),s(s(s(s(X2)))))
| ~ r(s(s(X0)),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_135165]) ).
tcf(c_170460,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),z)
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z))) ),
inference(instantiation,[status(thm)],[c_141923]) ).
tcf(c_170461,plain,
( ~ 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(s(z))) ),
inference(instantiation,[status(thm)],[c_170460]) ).
tcf(c_171059,plain,
! [X0: $i,X1: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(z,s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(z)),s(s(s(s(s(X0))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_149015]) ).
tcf(c_171060,plain,
( ~ b(z,s(s(s(s(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))))))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_171059]) ).
tcf(c_171311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(X1,s(z))
| ~ r(s(z),s(s(X2)))
| ~ r(s(s(s(s(X0)))),X1)
| ~ r(s(s(s(s(X0)))),s(z)) ),
inference(instantiation,[status(thm)],[c_151280]) ).
tcf(c_171312,plain,
( ~ r(z,s(z))
| ~ r(s(z),s(s(z)))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(s(z)))),s(z)) ),
inference(instantiation,[status(thm)],[c_171311]) ).
tcf(c_171492,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(z,s(s(s(X2))))
| ~ r(s(s(s(X1))),z)
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(s(s(X0))))),s(s(s(X1)))) ),
inference(instantiation,[status(thm)],[c_151809]) ).
tcf(c_171495,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(X1))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_151809]) ).
tcf(c_171496,plain,
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_171495]) ).
tcf(c_178386,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X0))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(X1))))))
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_137948]) ).
tcf(c_178387,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(z))),s(z))
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_178386]) ).
tcf(c_179591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(z))),X2)
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(s(X0)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_150580]) ).
tcf(c_179592,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(s(z)))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_179591]) ).
tcf(c_179594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(X2,s(X3))
| ~ b(X1,s(X3))
| ~ b(s(s(s(z))),X1)
| ~ b(s(s(s(s(X0)))),X2)
| ~ b(s(s(s(s(X0)))),X1)
| ~ b(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_150580]) ).
tcf(c_179595,plain,
( ~ b(z,s(z))
| ~ b(s(s(s(z))),z)
| ~ b(s(s(s(s(z)))),z)
| ~ b(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_179594]) ).
tcf(c_180572,plain,
! [X0: $i] :
( ~ b(s(z),z)
| ~ b(z,s(X0))
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_159753]) ).
tcf(c_180573,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(z))),z)
| ~ b(s(z),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_180572]) ).
tcf(c_180599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(z,s(X2))
| ~ b(s(X0),z)
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(X0),s(s(s(s(s(X1)))))) ),
inference(instantiation,[status(thm)],[c_159753]) ).
tcf(c_180600,plain,
( ~ b(z,s(z))
| ~ b(s(z),z)
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_180599]) ).
tcf(c_181840,plain,
! [X0: $i,X1: $i] :
( ~ r(z,s(s(s(z))))
| ~ r(s(s(s(s(s(X0))))),z)
| ~ r(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_164847]) ).
tcf(c_181841,plain,
( ~ r(z,s(s(s(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(z)))) ),
inference(instantiation,[status(thm)],[c_181840]) ).
tcf(c_186931,plain,
! [X0: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_111691]) ).
tcf(c_186938,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_186931]) ).
tcf(c_187878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X2)
| ~ 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_132573]) ).
tcf(c_187879,plain,
( ~ r(s(z),z)
| ~ 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_187878]) ).
tcf(c_188477,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),X1)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_151906]) ).
tcf(c_188478,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_188477]) ).
tcf(c_190880,plain,
! [X0: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(X0))))
| ~ r(s(s(s(s(z)))),z)
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_151809]) ).
tcf(c_190911,plain,
( ~ r(z,s(s(s(z))))
| ~ 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_190880]) ).
tcf(c_192324,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(z))
| ~ b(z,s(X1))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(X1),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(z)) ),
inference(instantiation,[status(thm)],[c_144587]) ).
tcf(c_192325,plain,
( ~ b(z,s(z))
| ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(z)) ),
inference(instantiation,[status(thm)],[c_192324]) ).
tcf(c_192334,plain,
! [X0: $i,X1: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_144632]) ).
tcf(c_192335,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_192334]) ).
tcf(c_192725,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(s(s(X1))))))
| ~ b(s(s(s(s(s(X1))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_148979]) ).
tcf(c_192726,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(z)),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_192725]) ).
tcf(c_195544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ b(z,s(X3))
| ~ b(X2,s(X3))
| ~ b(s(s(X1)),z)
| ~ b(s(s(X1)),X2)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(X1))) ),
inference(instantiation,[status(thm)],[c_166218]) ).
tcf(c_195545,plain,
( ~ b(z,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_195544]) ).
tcf(c_195665,plain,
! [X0: $i,X1: $i] :
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(X0))))))
| ~ r(s(s(s(z))),s(s(s(s(X1)))))
| ~ r(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_118303]) ).
tcf(c_195666,plain,
( ~ r(s(z),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z)))))
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_195665]) ).
tcf(c_195785,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(s(s(X0))))))
| ~ b(s(s(s(s(s(X1))))),z)
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(z))),s(s(s(s(s(X1))))))
| ~ b(s(s(s(z))),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_122001]) ).
tcf(c_195786,plain,
( ~ b(z,s(s(s(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_195785]) ).
tcf(c_195969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(z),s(s(s(X2))))
| ~ b(s(s(s(s(X1)))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(z))
| ~ b(s(s(s(s(s(X0))))),s(s(s(s(X1))))) ),
inference(instantiation,[status(thm)],[c_124543]) ).
tcf(c_195970,plain,
( ~ b(s(z),s(s(s(z))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(s(z))))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_195969]) ).
tcf(c_198786,plain,
! [X0: $i] :
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(X0))))))
| ~ 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_153202]) ).
tcf(c_198787,plain,
( ~ b(s(z),s(s(s(s(z)))))
| ~ b(s(s(s(s(z)))),s(z))
| ~ b(s(z),s(s(s(s(s(z))))))
| ~ b(s(s(s(s(s(z))))),s(z))
| ~ b(s(s(s(s(z)))),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_198786]) ).
tcf(c_200288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(X1)),s(z))
| ~ r(s(s(s(X2))),s(z))
| ~ r(s(s(X1)),s(s(s(X2))))
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_170264]) ).
tcf(c_200289,plain,
( ~ r(s(s(z)),s(z))
| ~ r(s(s(s(z))),s(z))
| ~ r(s(s(z)),s(s(s(z))))
| ~ r(s(z),s(s(s(s(s(z)))))) ),
inference(instantiation,[status(thm)],[c_200288]) ).
tcf(c_200677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(s(s(X1))),z)
| ~ r(z,s(s(s(s(s(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_171492]) ).
tcf(c_200678,plain,
( ~ r(s(s(s(z))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(s(s(z))))),z)
| ~ r(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_200677]) ).
tcf(c_203738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r(s(z),X1)
| ~ r(X1,s(X2))
| ~ r(s(s(s(s(s(X0))))),X1)
| ~ r(s(z),s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_111652]) ).
tcf(c_203739,plain,
( ~ r(z,s(z))
| ~ 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_203738]) ).
tcf(c_205426,plain,
! [X0: $i,X1: $i] :
( ~ b(z,s(s(s(z))))
| ~ b(z,s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(X1))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),z)
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_122272]) ).
tcf(c_205427,plain,
( ~ b(z,s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),z)
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_205426]) ).
tcf(c_207872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(z)),s(s(s(X1))))
| ~ b(s(s(s(z))),s(s(X2)))
| ~ b(s(s(s(X1))),s(s(X2)))
| ~ b(s(s(s(s(s(X0))))),s(s(z)))
| ~ b(s(s(s(s(s(X0))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_139334]) ).
tcf(c_207873,plain,
( ~ b(s(s(z)),s(s(s(z))))
| ~ b(s(s(s(z))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(z)))
| ~ b(s(s(s(s(s(z))))),s(s(s(z)))) ),
inference(instantiation,[status(thm)],[c_207872]) ).
tcf(c_207930,plain,
! [X0: $i,X1: $i] :
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(X0)))),z)
| ~ r(z,s(s(s(s(s(X1))))))
| ~ r(s(s(s(z))),s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_139362]) ).
tcf(c_207931,plain,
( ~ r(s(s(s(z))),z)
| ~ r(s(s(s(s(z)))),z)
| ~ r(z,s(s(s(s(s(z))))))
| ~ r(s(s(s(z))),s(s(s(s(z))))) ),
inference(instantiation,[status(thm)],[c_207930]) ).
tcf(c_210103,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_207931,c_207873,c_205427,c_203739,c_200678,c_200289,c_198787,c_195970,c_195786,c_195666,c_195545,c_192726,c_192335,c_192325,c_190911,c_188478,c_187879,c_186938,c_181841,c_180600,c_180573,c_179595,c_179592,c_178387,c_171496,c_171312,c_171060,c_170461,c_170222,c_168381,c_167981,c_166789,c_164887,c_162884,c_155805,c_154044,c_153919,c_153027,c_152954,c_152916,c_152643,c_152640,c_151854,c_151278,c_150595,c_150536,c_149532,c_149394,c_149039,c_148720,c_147096,c_146351,c_146205,c_144664,c_144650,c_144649,c_144549,c_144073,c_143109,c_142751,c_142445,c_140941,c_140933,c_140902,c_140894,c_140714,c_139335,c_139194,c_135070,c_134884,c_134634,c_133472,c_133413,c_133121,c_131485,c_130009,c_129832,c_129572,c_129148,c_128957,c_128906,c_128885,c_128883,c_128738,c_128452,c_123994,c_122392,c_122279,c_122251,c_122250,c_116127,c_115763,c_112778,c_110240,c_110112,c_105819,c_98849,c_98848,c_97392,c_97385,c_97249,c_97013,c_96973,c_96944,c_96896,c_96126,c_92654,c_92622,c_92235,c_89874,c_87244,c_86984,c_84381,c_84261,c_84227,c_84169,c_83647,c_83114,c_81252,c_81243,c_80881,c_80812,c_80808,c_80806,c_80473,c_80454,c_76693,c_76151,c_76146,c_75402,c_75375,c_75350,c_75305,c_75290,c_75236,c_75035,c_74815,c_74357,c_73791,c_73777,c_72278,c_72272,c_72270,c_70614,c_69672,c_69158,c_69119,c_69040,c_68874,c_68430,c_68420,c_67954,c_66144,c_64322,c_64291,c_61916,c_61568,c_60362,c_60330,c_60306,c_59839,c_59821,c_59819,c_59742,c_59738,c_59714,c_59581,c_57847,c_57685,c_57180,c_56764,c_55775,c_53715,c_53431,c_53385,c_53377,c_53064,c_53033,c_52637,c_52628,c_52547,c_52506,c_52325,c_52324,c_51686,c_51156,c_51090,c_51084,c_51079,c_50800,c_50571,c_50570,c_50569,c_50565,c_50563,c_49185,c_47095,c_47094,c_45827,c_45817,c_45816,c_45815,c_45814,c_45813,c_45812,c_45454,c_45437,c_45429,c_45228,c_45223,c_45208,c_45181,c_45180,c_45173,c_45171,c_45159,c_45158,c_45157,c_45154,c_45153,c_45152,c_44897,c_44845,c_44750,c_44637,c_44609,c_44417,c_42533,c_42505,c_42484,c_42468,c_42267,c_42262,c_42224,c_42199,c_41448,c_39614,c_38695,c_38406,c_38380,c_38315,c_38153,c_37860,c_37740,c_37120,c_36750,c_36729,c_36680,c_36651,c_36645,c_35883,c_35419,c_34743,c_34539,c_34285,c_32828,c_32774,c_32658,c_32640,c_31428,c_31264,c_29702,c_29635,c_29332,c_28775,c_28321,c_28292,c_27880,c_27666,c_26767,c_26264,c_25841,c_25412,c_24082,c_24080,c_23705,c_23697,c_22610,c_22597,c_21714,c_21385,c_21079,c_19335,c_19126,c_18983,c_18666,c_17961,c_17520,c_17461,c_17386,c_17366,c_16785,c_16767,c_16755,c_16746,c_16726,c_16725,c_16691,c_16588,c_15307,c_14766,c_14743,c_14359,c_14307,c_14303,c_14302,c_13865,c_13478,c_12886,c_12519,c_11858,c_11857,c_11750,c_11485,c_11484,c_11064,c_11060,c_10989,c_10460,c_10193,c_10154,c_10108,c_10035,c_9961,c_9879,c_9877,c_9017,c_8978,c_8972,c_8970,c_8964,c_8962,c_8954,c_8948,c_8946,c_8823,c_8789,c_8317,c_8212,c_8211,c_8208,c_8206,c_7893,c_7892,c_7887,c_7885,c_7884,c_7882,c_7879,c_7042,c_6651,c_6627,c_6607,c_6602,c_6254,c_5904,c_5866,c_5748,c_5146,c_4967,c_4956,c_4640,c_4356,c_4343,c_3610,c_3589,c_3538,c_3496,c_2822,c_2810,c_2807,c_2805,c_2303,c_2281,c_2279,c_2277,c_2276,c_2275,c_2274,c_2212,c_2200,c_2196,c_1854,c_1708,c_1693,c_1364,c_1356,c_1093,c_901,c_743,c_732,c_591,c_586,c_516,c_513,c_394,c_391,c_374,c_255,c_205,c_166,c_150,c_144,c_108,c_100,c_91,c_81,c_79,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA141-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 13:01:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 86.57/14.45 % SZS status Started for theBenchmark.p
% 86.57/14.45 % SZS status Unsatisfiable for theBenchmark.p
% 86.57/14.45
% 86.57/14.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.57/14.45
% 86.57/14.45 % ------ iProver source info
% 86.57/14.45
% 86.57/14.45 % git: date: 2026-07-19 20:42:38 +0200
% 86.57/14.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.57/14.45 % git: non_committed_changes: false
% 86.57/14.45
% 86.57/14.45 % ------ Parsing...% successful
% 86.57/14.45
% 86.57/14.45
% 86.57/14.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 86.57/14.45
% 86.57/14.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e %
% 86.57/14.45
% 86.57/14.45 % ------ Preprocessing...%
% 86.57/14.45
% 86.57/14.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 86.57/14.45 % ------ Proving...
% 86.57/14.45 % ------ Problem Properties
% 86.57/14.45
% 86.57/14.45 %
% 86.57/14.45 % clauses 7
% 86.57/14.45 % conjectures 0
% 86.57/14.45 % EPR 5
% 86.57/14.45 % Horn 6
% 86.57/14.45 % unary 3
% 86.57/14.45 % binary 1
% 86.57/14.45 % lits 18
% 86.57/14.45 % lits eq 4
% 86.57/14.45 % fd_pure 0
% 86.57/14.45 % fd_pseudo 0
% 86.57/14.45 % fd_cond 0
% 86.57/14.45 % fd_pseudo_cond 2
% 86.57/14.45 % AC symbols 0
% 86.57/14.45
% 86.57/14.45 % ------ Input Options Time Limit: Unbounded
% 86.57/14.45
% 86.57/14.45
% 86.57/14.45 % ------
% 86.57/14.45 % Current options:
% 86.57/14.45 % ------
% 86.57/14.45
% 86.57/14.45
% 86.57/14.45 %
% 86.57/14.45
% 86.57/14.45 % ------ Proving...
% 86.57/14.45 %
% 86.57/14.45
% 86.57/14.45 % SZS status Unsatisfiable for theBenchmark.p
% 86.57/14.45
% 86.57/14.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.57/14.49
% 86.57/14.49
%------------------------------------------------------------------------------